rill and R. V. BaumA Stabilized Electronic Multiplierj-TRANS-IRE-PROF-GROUP-ELEC-COMPUTEC-152--59dec121952Fri Jul 15 15:20:53 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.15 15:20:53 ???Transactions of the I.R.E. Professional Group on Electronic Computersack-nhfb @Article{Morrill:1952:SEM, author = "C. D. Morrill and R. V. Baum", title = "A Stabilized Electronic Multiplier", journal = j-TRANS-IRE-PROF-GROUP-ELEC-COMPUT, volume = "EC-1", number = "??", pages = "52--59", month = dec, year = "1952", CODEN = "????", ISSN = "????", bibdate = "Fri Jul 15 15:20:53 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the I.R.E. Professional Group on Electronic Computers", }Review of Electronic Digital Computers. Joint {AIEE--IRE} Computer Confer ence. {10--12 December 1951}", title = "The {IBM} card-programmed electronic calculator", publisher = "American Institute of Electrical Engineers", address = "New York, NY, USA", pages = "30--36", year = "1952", bibdate = "Wed Oct 13 11:28:45 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in \cite[\S 5.4]{Randell:1982:ODC}.", acknowledgement = ack-nhfb, }? of Electronic Digital Computers. Joint AIEE--IRE Computer Confer ence. 10--12 December 1951The IBM card-programmed electronic calculatorAmerican Institute of Electrical EngineersNew York, NY, USA30--361952Wed Oct 13 11:28:45 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.10.13 11:28:45 ???Reprinted in cite [ 5.4]Randell:1982:ODC.ack-nhfb @InProceedings{Sheldon:1952:ICP, author = "J. W. Sheldon and L. Tatum", booktitle = "Review of Electronic Digital Computers. Joint {AIEE--IRE} Computer Confer ence. {10--12 December 1951}", title = "The {IBM} card-programmed electronic calculator", publisher = "American Institute of Electrical Engineers", address = "New York, NY, USA", pages = "30--36", year = "1952", bibdate = "Wed Oct 13 11:28:45 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in \cite[\S 5.4]{Randell:1982:ODC}.", acknowledgement = ack-nhfb, } `H@O #%+#=m;7bookfparith.bibIBM:1953:POTIBM CorporationPrinciples of Operation: Type 701 and Associated Equipmentpub-IBMpub-IBM:adr1031953Wed Sep 14 23:17:49 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.14 23:17:49 ???ack-nhfb @Book{IBM:1953:POT, author = "{IBM Corporation}", title = "Principles of Operation: Type 701 and Associated Equipment", publisher = pub-IBM, address = pub-IBM:adr, pages = "103", year = "1953", bibdate = "Wed Sep 14 23:17:49 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }?O'#-AQga/=m;_Iinproceedingsfparith.bibSheldon:1952:ICPJ. W. Sheldon and L. TatumReviewn: Type 701 and Associated Equipment", publisher = pub-IBM, address = pub-IBM:adr, pages = "103", year = "1953", bibdate = "Wed Sep 14 23:17:49 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }@ing} System", journal = j-J-ACM, volume = "1", number = "1", pages = "4--6", month = jan, year = "1954", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 04 00:18:27 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://community.computerhistory.org/scc/projects/FORTRAN/paper/p4-backus.pdf", abstract = "The IBM 701 Speedcoding System is a set of instructions which causes the 701 to behave like a three-address floating point calculator. Let us call this the Speedcoding calculator. In addition to operating in floating point, this Speedcoding calculator has extremely convenient means for getting information into the machine and for printing results; it has an extensive set of operations to make the job of programming as easy as possible. Speedcoding also provides automatic address modification, flexible tracing, convenient use of auxiliary storage, and built-in checking.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }Aloating point calculator. Let us call this the Speedcoding calculator. In addition to operating in floating point, this Speedcoding calculator has extremely convenient means for getting information into the machine and for printing results; it has an extensive set of operations to make the job of programming as easy as possible. Speedcoding also provides automatic address modification, flexible tracing, convenient use of auxiliary storage, and built-in checking.Journal of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Backus:1954:ISS, author = "J. W. Backus", title = "The {IBM 701 Speedcoding} System", journal = j-J-ACM, volume = "1", number = "1", pages = "4--6", month = jan, year = "1954", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 04 00:18:27 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://community.computerhistory.org/scc/projects/FORTRAN/paper/p4-backus.pdf", abstract = "The IBM 701 Speedcoding System is a set of instructions which causes the 701 to behave like a three-address floating point calculator. Let us call this the Speedcoding calculator. In addition to operating in floating point, this Speedcoding calculator has extremely convenient means for getting information into the machine and for printing results; it has an extensive set of operations to make the job of programming as easy as possible. Speedcoding also provides automatic address modification, flexible tracing, convenient use of auxiliary storage, and built-in checking.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } 2AQ #+%I57=m;'1eMarticlefparith.bibBackus:1954:ISSJ. W. BackusThe IBM 701 Speedcoding Systemj-J-ACM114--6jan11954JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Fri Nov 04 00:18:27 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.11.04 00:18:27 ???http://community.computerhistory.org/scc/projects/FORTRAN/paper/p4-backus.pdfThe IBM 701 Speedcoding System is a set of instructions which causes the 701 to behave like a three-address f "Datatron handbooks", organization = "The Division", address = "Pasadena, CA, USA", year = "1954", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "12 volumes in 1.", acknowledgement = ack-nhfb, keywords = "Datatron (Computer)", remark = "Datatron programming and coding manual --- Datatron operation manual --- Central computer handbook --- Paper tape system handbook --- Card converter Model 500 handbook --- Magnetic tape system handbook --- Cardatron system handbook --- Model 560 DATAFILE handbook --- Control console and consolette handbook --- Floating point control unit handbook --- External switching unit handbook --- Tape preparation unit handbook.", }Bnual{Burroughs:1954:DH, author = "{Burroughs Corporation. ElectroData}", title = "Datatron handbooks", organization = "The Division", address = "Pasadena, CA, USA", year = "1954", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "12 volumes in 1.", acknowledgement = ack-nhfb, keywords = "Datatron (Computer)", remark = "Datatron programming and coding manual --- Datatron operation manual --- Central computer handbook --- Paper tape system handbook --- Card converter Model 500 handbook --- Magnetic tape system handbook --- Cardatron system handbook --- Model 560 DATAFILE handbook --- Control console and consolette handbook --- Floating point control unit handbook --- External switching unit handbook --- Tape preparation unit handbook.", } ~BO #/Q1%/Em;-3W manualfparith.bibBurroughs:1954:DHBurroughs Corporation. ElectroDataDatatron handbooksThe DivisionPasadena, CA, USA4--61954Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MST12 volumes in 1.Datatron (Computer)Datatron programming and coding manual --- Datatron operation manual --- Central computer handbook --- Paper tape system handbook --- Card converter Model 500 handbook --- Magnetic tape system handbook --- Cardatron system handbook --- Model 560 DATAFILE handbook --- Control console and consolette handbook --- Floating point control unit handbook --- External switching unit handbook --- Tape preparation unit handbook.ack-nhfb @Maaring Analog Multiplier ({TSAM})", journal = j-TRANS-IRE-PROF-GROUP-ELEC-COMPUT, volume = "EC-3", number = "1", pages = "11--17", month = mar, year = "1954", CODEN = "????", ISSN = "????", bibdate = "Fri Jul 15 15:20:53 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the I.R.E. Professional Group on Electronic Computers", remark = "Cited in US Patent 3,043,516 (10 July 1962): Time Summing Device for Division, Multiplication, Root Taking and Interpolation, by Harold W. Abbott and Vernon P. Mathis.", }C +r+L&2g @Article{Pe;w @Article{McCann:2005:SDA, author = "Mark McCann and Nicholas Pippenger", title = ?^' @Article{Mayer:1954:ODF, author = "M. A. Mayer and B. M. Gordon and R. N. Nicola", title܆eK @Article{Mays:1987:IDA, author = "Michael E. Mays", title = "Iterating the DivisiL[7 @Article{Maytal:1989:DCG, author = "B. Maytal and S. Iacobovici and D. B. Alpert and D. ? @Article{Mazenc:1993:CFU, author = "Christophe Mazenc and Xavier Merrheim and Jean-Michel &' @Article{McCluskey:2002:MLF, author = "Glen McCluskey", title = "Math library fun8ȅkW @Article{McCormick:1982:EFM, author = "S. F. McCormick and G. D. Taylor and D. V. Pryor", 8q @Article{McCrea:1978:CFP, author = "P. G. McCrea and P. C. Maxwell and P. W. Baker", titW/ @Article{McDonald:1975:TCQ, author = "T. G. McDonald and R. K. Guha", title = "Th Multiplication, Root Taking and Interpolation, by Harold W. Abbott and Vernon P. Mathis.ack-nhfb @Article{Freeman:1954:TSA, author = "H. Freeman and E. Parsons", title = "Time-Sharing Analog Multiplier ({TSAM})", journal = j-TRANS-IRE-PROF-GROUP-ELEC-COMPUT, volume = "EC-3", number = "1", pages = "11--17", month = mar, year = "1954", CODEN = "????", ISSN = "????", bibdate = "Fri Jul 15 15:20:53 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the I.R.E. Professional Group on Electronic Computers", remark = "Cited in US Patent 3,043,516 (10 July 1962): Time Summing Device for Division, Multiplication, Root Taking and Interpolation, by Harold W. Abbott and Vernon P. Mathis.", } ~i~`FO#)g[;7=a;]'articlefparith.bibMaye݈rEP#+AQQ=a;]articlefparith.bibKovach:1954:AMUL. ۈpDQ #'y5E ;9 articlefparith.bibGorn:1954:AACSauٌCQ#-?WQ=a;[Earticlefparith.bibFreeman:1954:TSAH. Freeman and E. ParsonsTime-Sharing Analog Multiplier (TSAM)j-TRANS-IRE-PROF-GROUP-ELEC-COMPUTEC-3111--17mar31954Fri Jul 15 15:20:53 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.15 15:20:53 ???Transactions of the I.R.E. Professional Group on Electronic ComputersCited in US Patent 3,043,516 (10 July 1962): Time Summing Device for Division, Control of Computing Errors", journal = j-J-SIAM, volume = "2", number = "2", pages = "69--81", month = jun, year = "1954", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", }Dl GornThe Automatic Analysis and Control of Computing Errorsj-J-SIAM2269--81jun61954JSIMAV0368-4245 (print), 1095-712X (electronic) OR 03684245 (print), 1095712X (electronic)Thu Oct 15 18:16:06 MDT 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database1998.10.15 18:16:06 MDTJournal of the Society for Industrial and Applied Mathematicsack-nhfb @Article{Gorn:1954:AAC, author = "Saul Gorn", title = "The Automatic Analysis and Control of Computing Errors", journal = j-J-SIAM, volume = "2", number = "2", pages = "69--81", month = jun, year = "1954", CODEN = "JSIMAV", ISSN = "0368-4245 (print), 1095-712X (electronic)", bibdate = "Thu Oct 15 18:16:06 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Journal of the Society for Industrial and Applied Mathematics", }og Multiplier Using Thyrite", journal = j-TRANS-IRE-PROF-GROUP-ELEC-COMPUT, volume = "EC-3", number = "2", pages = "42--45", month = jun, year = "1954", CODEN = "????", ISSN = "????", bibdate = "Sun Jul 17 09:57:13 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the I.R.E. Professional Group on Electronic Computers", }ED. Kovach and W. ComleyAn Analog Multiplier Using Thyritej-TRANS-IRE-PROF-GROUP-ELEC-COMPUTEC-3242--45jun61954Sun Jul 17 09:57:13 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.17 09:57:13 ???Transactions of the I.R.E. Professional Group on Electronic Computersack-nhfb @Article{Kovach:1954:AMU, author = "L. D. Kovach and W. Comley", title = "An Analog Multiplier Using Thyrite", journal = j-TRANS-IRE-PROF-GROUP-ELEC-COMPUT, volume = "EC-3", number = "2", pages = "42--45", month = jun, year = "1954", CODEN = "????", ISSN = "????", bibdate = "Sun Jul 17 09:57:13 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the I.R.E. Professional Group on Electronic Computers", } = "An operational digital feedback divider", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-3", number = "1", pages = "17--20", month = mar, year = "1954", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Sun Jul 17 09:52:58 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Fr:1954:ODFM. A. Mayer and B. M. Gordon and R. N. NicolaAn operational digital feedback dividerj-IRE-TRANS-ELEC-COMPUTEC-3117--20mar31954IRELAO0367-9950 OR 03679950Sun Jul 17 09:52:58 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.17 09:52:58 ???IRE Transactions on Electronic Computersack-nhfb @Article{Mayer:1954:ODF, author = "M. A. Mayer and B. M. Gordon and R. N. Nicola", title = "An operational digital feedback divider", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-3", number = "1", pages = "17--20", month = mar, year = "1954", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Sun Jul 17 09:52:58 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }eudo-Random Numbers on a Decimal Calculator", journal = j-J-ACM, volume = "1", number = "2", pages = "88--91", month = apr, year = "1954", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 04 00:18:27 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "decimal floating-point arithmetic", }Gprint), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Fri Nov 04 00:18:27 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.11.04 00:18:27 ???Journal of the ACMdecimal floating-point arithmeticack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Moshman:1954:GPR, author = "Jack Moshman", title = "The Generation of Pseudo-Random Numbers on a Decimal Calculator", journal = j-J-ACM, volume = "1", number = "2", pages = "88--91", month = apr, year = "1954", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 04 00:18:27 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "decimal floating-point arithmetic", } ^IP#+wM#E%;M! bookfparith.bibEckert:1955:FFSW. J. (Wallace John) Eckert and Rebecca Bradley JonesFaster, faster; a simple description of a giant electronic calTHO#/IM%57=m;IM{articlefparith.bibCrocbGP #-%57=m;1Oe=articlefparith.bibMoshman:1954:GPRJack MoshmanThe Generation of Pseudo-Random Numbers on a Decimal Calculatorj-J-ACM1288--91apr41954JACOAH0004-5411 (radient Methods of Maximization", journal = j-PAC-J-MATH, volume = "5", number = "??", pages = "33--50", year = "1955", CODEN = "PJMAAI", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", bibdate = "Fri Aug 20 08:54:24 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Mathematics", remark = "Cited in \cite{Sterbenz:1974:FPC}.", }Hkett:1955:GMMJ. B. Crockett and H. ChernoffGradient Methods of Maximizationj-PAC-J-MATH533--501955PJMAAI0030-8730 (print), 1945-5844 (electronic) OR 00308730 (print), 19455844 (electronic)0030-8730 OR 00308730Fri Aug 20 08:54:24 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.08.20 08:54:24 ???Pacific Journal of MathematicsCited in cite Sterbenz:1974:FPC.ack-nhfb @Article{Crockett:1955:GMM, author = "J. B. Crockett and H. Chernoff", title = "Gradient Methods of Maximization", journal = j-PAC-J-MATH, volume = "5", number = "??", pages = "33--50", year = "1955", CODEN = "PJMAAI", ISSN = "0030-8730 (print), 1945-5844 (electronic)", ISSN-L = "0030-8730", bibdate = "Fri Aug 20 08:54:24 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Pacific Journal of Mathematics", remark = "Cited in \cite{Sterbenz:1974:FPC}.", } Jones", title = "Faster, faster; a simple description of a giant electronic calculator and the problems it solves", publisher = pub-IBM, address = pub-IBM:adr, pages = "160", year = "1955", LCCN = "QA76 .E25", bibdate = "Fri Aug 20 08:57:56 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "1902--1971", remark = "Cited in \cite{Sterbenz:1974:FPC}.", subject = "Computers", xxaddress = pub-MCGRAW-HILL:adr, xxpublisher = pub-MCGRAW-HILL, }Iculator and the problems it solvespub-IBMpub-IBM:adr1601955QA76 .E25Fri Aug 20 08:57:56 MDT 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 08:57:56 MDTCited in cite Sterbenz:1974:FPC.Computersack-nhfb1902--1971 @Book{Eckert:1955:FFS, author = "W. J. (Wallace John) Eckert and Rebecca Bradley Jones", title = "Faster, faster; a simple description of a giant electronic calculator and the problems it solves", publisher = pub-IBM, address = pub-IBM:adr, pages = "160", year = "1955", LCCN = "QA76 .E25", bibdate = "Fri Aug 20 08:57:56 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, author-dates = "1902--1971", remark = "Cited in \cite{Sterbenz:1974:FPC}.", subject = "Computers", xxaddress = pub-MCGRAW-HILL:adr, xxpublisher = pub-MCGRAW-HILL, } James P. {Wong, Jr.}", title = "Approximations for Digital Computers", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "viii + 201", year = "1955", LCCN = "QA76 .H33", bibdate = "Mon Sep 30 14:51:50 1996", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, }J 11LJP#/U'/!=K;_bookfparith.bibHastings:1955:ADCCecil B. Hastings, Jr. and Jeanne T. Hayward and James P. Wong, Jr.Approximations for Digital Computerspub-PRINCETONpub-PRINCETON:adrviii + 2011955QA76 .H33Mon Sep 30 14:51:50 1996ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.09.30 14:51:50 ???ack-nj @Book{Hastings:1955:ADC, author = "Cecil B. {Hastings, Jr.} and Jeanne T. Hayward and James P. {Wong, Jr.}", title = "Approximations for Digital Computers", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "viii + 201", year = "1955", LCCN = "QA76 .H33", bibdate = "Mon Sep 30 14:51:50 1996", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, }Rooting", journal = j-ELECTRON-ENG, volume = "27", number = "??", pages = "287--289", month = jul, year = "1955", CODEN = "ELEGAP", ISSN = "0013-4902", bibdate = "Thu Sep 1 10:15:41 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Electronic Engineering", }K FF7KO #/)=)7;K;9articlefparith.bibLenaerts:1955:ASRE. H. LenaertsAutomatic Square Rootingj-ELECTRON-ENG27287--289jul71955ELEGAP0013-4902 OR 00134902Thu Sep 1 10:15:41 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:41 ???Electronic Engineeringack-nj @Article{Lenaerts:1955:ASR, author = "E. H. Lenaerts", title = "Automatic Square Rooting", journal = j-ELECTRON-ENG, volume = "27", number = "??", pages = "287--289", month = jul, year = "1955", CODEN = "ELEGAP", ISSN = "0013-4902", bibdate = "Thu Sep 1 10:15:41 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Electronic Engineering", }Calculator Method for Checking Binary Results of Digital Computer Arithmetic Operations", journal = j-J-ACM, volume = "2", number = "3", pages = "205--207", month = jul, year = "1955", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Wed Nov 09 01:00:34 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }L-J-ACM23205--207jul71955JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Wed Nov 09 01:00:34 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.11.09 01:00:34 ???Journal of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Parsons:1955:SDC, author = "Frances L. Parsons", title = "A Simple Desk-Calculator Method for Checking Binary Results of Digital Computer Arithmetic Operations", journal = j-J-ACM, volume = "2", number = "3", pages = "205--207", month = jul, year = "1955", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Wed Nov 09 01:00:34 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } wMN #/)a+/'=m;kbookfparith.bibRichards:1955:AODR. K. RichardsArithmetic Operations in Digital ComputersD. Van NostrandNew York, NY, USAiv + 3971955QA75 .R5 1955Fri Nov 28 18:46:37 2003http://www.math.utah.edu/pub/tex/bib/fparith.bib2003.11.28 18:46:37 ???ack-nhfb @Book{Richards:1955:AOD, author = "R. K. Richards", title = "Arithmetic Operations in Digital Computers", publisher = "D. 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Schulte", title = "The Symm2ޑ @Article{Stockman:1994:OMM, author = "Harlan W. Stockman", title = "Optimizing Matrix Math On The {Pentium}", jour)gT) @Article{Stoianov:2002:AAB, author = "Ivilin Stoianov and Marco Zorzi and Suzanna Becker a9XJ @Article{Stouraitis:1988:FPL, author = "Thanos Stouraitis and Fred J. Taylor", title = "Floating-point to logarithmic encoder error analysis", journal = j-IEEE-TRANS-COMPUT, volum @Article{Stouraitis:1992:ECR, author = "T. Stouraitis", title = "Efficient convertors for residue and quadratic-re$At Multiplication in Binary Parallel Digital Computers", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-4", number = "3", pages = "118--119", month = sep, year = "1955", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/IRETELC.1955.5407911", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:10:39 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407911", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Nhttp://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 15:10:39 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407911IRE Transactions on Electronic Computersack-nhfb @Article{Robertson:1955:TCM, author = "J. E. Robertson", title = "Two's Complement Multiplication in Binary Parallel Digital Computers", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-4", number = "3", pages = "118--119", month = sep, year = "1955", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/IRETELC.1955.5407911", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:10:39 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5407911", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ;m;*PP #3AQ+3E%;u1}bookfparith.bibHildebrand:1956:INAFrancis Begnaud HildebrandIntroduction to numerical analysisrOP #+gc;a7Ea;]carticlefparith.bibEstrin:1956:NHSG. Estrin and B. Gilchrist and J. H. PomereneA Note on High-Speed Digital Multiplicationj-IRE-TRANS-ELEC-COMPUTEC-53140--140sep91956IRELAOhttp://dx.doi.org/10.1109/TEC.1956.52199360367-9950 OR 03679950Thu Jun 30 15:46:27 MDT 2011http://www.math.utah.edu/pub/teNQ #1+;i7Ea;] articlefparith.bibRobertson:1955:TCMJ. E. RobertsonTwo's Complement Multiplication in Binary Parallel Digital Computersj-IRE-TRANS-ELEC-COMPUTEC-43118--119sep91955IRELAOhttp://dx.doi.org/10.1109/IRETELC.1955.54079110367-9950 OR 03679950Thu Jun 30 15:10:39 MDT 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; e = "A Note on High-Speed Digital Multiplication", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "3", pages = "140--140", month = sep, year = "1956", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1956.5219936", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:46:27 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219936", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }O ++rL&;w]; @Article{Anonymous:1994:SCSa, author = "Anonymous", title = "Single chip supercom'D @Article{Anonymous:1994:SPF, author = "Anonymous", title = "Signal Path: Floating'FlY @Article{Anonymous:1995:FEF, author = "Anonymous", title = "Fraction eliminate fl*1c @Article{Anonymous:1995:INM, author = "Anonymous", title = "{IBM}'s new {Model 3C* @Article{Anonymous:1995:MVW, author = "Anonymous", title = "Micro View --- What l*hQ @Article{Anonymous:1995:PCH, author = "Anonymous", title = "Program converts hex * J @Article{Anonymous:1996:FPF, author = "Anonymous", title = "Floating Point --- Fi+J @Article{Anonymous:1996:IBT, author = "Anonymous", title = "Inquiry Board Traces +}{ @Article{Anonymous:1998:ANO, author = "Anonymous", title = "Announcements: New Of/ft5tZ<#fM$<y @Article{Agou:2003:SPR, author = "Simon Joseph Agou and Marc Del{\'e}glise and 9#gO @Article{Abu-El-Haija:1979:AER, author = "A. 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Montuschi and A. =]; @Article{Anonymous:1998:PIS, author = "Anonymous", title = "Papers from the {13th/i/n.] @Article{Asai:1983:SOM, author = "Hitohisa Asai and C. K. Cheng", title = "Speedia) @Article{Arioli:1996:REA, author = "M. Arioli and C. Fassino", title = "Roundoff +x/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 15:46:27 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219936IRE Transactions on Electronic Computersack-nhfb @Article{Estrin:1956:NHS, author = "G. Estrin and B. Gilchrist and J. H. Pomerene", title = "A Note on High-Speed Digital Multiplication", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "3", pages = "140--140", month = sep, year = "1956", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1956.5219936", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:46:27 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219936", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }uction to numerical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "511", year = "1956", LCCN = "QA300 .H5", bibdate = "Fri Aug 20 09:19:58 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, remark = "See also second edition \cite{Hildebrand:1974:INA,Hildebrand:1987:INA}.", subject = "Numerical analysis", }Ppub-MCGRAW-HILLpub-MCGRAW-HILL:adr5111956QA300 .H5Fri Aug 20 09:19:58 MDT 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 09:19:58 MDTInternational series in pure and applied mathematicsSee also second edition cite Hildebrand:1974:INA,Hildebrand:1987:INA.Numerical analysisack-nhfb @Book{Hildebrand:1956:INA, author = "Francis Begnaud Hildebrand", title = "Introduction to numerical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "511", year = "1956", LCCN = "QA300 .H5", bibdate = "Fri Aug 20 09:19:58 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, remark = "See also second edition \cite{Hildebrand:1974:INA,Hildebrand:1987:INA}.", subject = "Numerical analysis", }n Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "1", pages = "26--34", month = mar, year = "1956", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1956.5219789", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:46:18 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219789", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Q46:18 MDT 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 15:46:18 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219789IRE Transactions on Electronic Computersack-nhfb @Article{Lilamand:1956:TDM, author = "M. Lejet Lilamand", title = "A Time-Division Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "1", pages = "26--34", month = mar, year = "1956", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1956.5219789", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:46:18 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219789", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } HRP #-)?57=m;1Oqegarticlefparith.bibPerkins:1956:EPCRobert PerkinsEASIAC, A Pseudo-Computerj-J-ACM3265--72apr41956JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Fri Nov 04 23:46:26 1994http://www.math.utah.edu/pubQP #//A;a7Ea;] articlefparith.bibLilamand:1956:TDMM. Lejet LilamandA Time-Division Multiplierj-IRE-TRANS-ELEC-COMPUTEC-5126--34mar31956IRELAOhttp://dx.doi.org/10.1109/TEC.1956.52197890367-9950 OR 03679950Thu Jun 30 15:do-Computer", journal = j-J-ACM, volume = "3", number = "2", pages = "65--72", month = apr, year = "1956", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 04 23:46:26 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "One of the primary functions of the MIDAC installation at the University of Michigan is the instruction of beginners in the various aspects of digital machine use including programming and coding. \ldots{} In conducting these courses it was soon found to be extremely difficult, in five or six instruction periods, to bring a complete newcomer up to the point where he can code and check out on MIDAC anything more than a rather trivial routine. As might be expected the difficulty centers around problems of scaling, instruction modification and binary representation. \ldots{} To alleviate these problems it was decided that a new computer was needed: one designed to make programming easier. At the cost of some of MIDAC's speed and capacity plus two or three man-months of programming time EASIAC, the EASy Instruction Automatic Computer, was realized as a translation-interpretation program in MIDAC.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "decimal floating-point arithmetic", remark = "Early example of a decimal floating-point machine.", }R/tex/bib/fparith.bib1994.11.04 23:46:26 ???One of the primary functions of the MIDAC installation at the University of Michigan is the instruction of beginners in the various aspects of digital machine use including programming and coding. ldots In conducting these courses it was soon found to be extremely difficult, in five or six instruction periods, to bring a complete newcomer up to the point where he can code and check out on MIDAC anything more than a rather trivial routine. As might be expected the difficulty centers around problems of scaling, instruction modification and binary representation. ldots To alleviate these problems it was decided that a new computer was needed: one designed to make programming easier. At the cost of some of MIDAC's speed and capacity plus two or three man-months of programming time EASIAC, the EASy Instruction Automatic Computer, was realized as a translation-interpretation program in MIDAC.Journal of the ACMdecimal floating-point arithmeticEarly example of a decimal floating-point machine.ack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Perkins:1956:EPC, author = "Robert Perkins", title = "{EASIAC}, {A} Pseudo-Computer", journal = j-J-ACM, volume = "3", number = "2", pages = "65--72", month = apr, year = "1956", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 04 23:46:26 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "One of the primary functions of the MIDAC installation at the University of Michigan is the instruction of beginners in the various aspects of digital machine use including programming and coding. \ldots{} In conducting these courses it was soon found to be extremely difficult, in five or six instruction periods, to bring a complete newcomer up to the point where he can code and check out on MIDAC anything more than a rather trivial routine. As might be expected the difficulty centers around problems of scaling, instruction modification and binary representation. \ldots{} To alleviate these problems it was decided that a new computer was needed: one designed to make programming easier. At the cost of some of MIDAC's speed and capacity plus two or three man-months of programming time EASIAC, the EASy Instruction Automatic Computer, was realized as a translation-interpretation program in MIDAC.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "decimal floating-point arithmetic", remark = "Early example of a decimal floating-point machine.", }digital division methods", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "??", pages = "65--73", month = jun, year = "1956", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Fri Nov 09 19:14:45 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }S XX%SN #1+[;7=m;]_ articlefparith.bibRobertson:1956:NCDJ. E. RobertsonA new class of digital division methodsj-IRE-TRANS-ELEC-COMPUTEC-565--73jun61956IRELAO0367-9950 OR 03679950Fri Nov 09 19:14:45 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.11.09 19:14:45 ???IRE Transactions on Electronic Computersack-nhfb @Article{Robertson:1956:NCD, author = "J. E. Robertson", title = "A new class of digital division methods", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "??", pages = "65--73", month = jun, year = "1956", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Fri Nov 09 19:14:45 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } "Pitfalls in computation", journal = "Journal of the Society for Industrial and Applied Mathematics", volume = "4", pages = "207--219", year = "1956", bibdate = "Tue Aug 28 06:16:28 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }T **qL&gO @Book{Bergin:1996:HPL, author = "Thomas J. {Bergin, Jr.} and Richard G. {Gibson, Jr.}", NZ0a @Book{Brent:2011:MCA, author = "Richard P. Brent and Paul Zimmermann", title = "MHxN @Book{Brunner:1991:VAR, editor = "Richard A. Brunner and Dileep P. Bhandarkar and vm @Book{Bruss:1991:RMF, author = "Rolf-J{\"u}rgen Br{\"u}{\ss}", title = "{RISC}\em聊+U @Book{Buchholz:1962:PCS, editor = "Werner Buchholz", title = "Planning a compute%]; @Book{Cardenas:1972:CS, editor = "Alfonso F. Cardenas and Leon Presser and Miguel A. Km[ @Book{Carey:1989:PSM, editor = "Graham F. Carey", booktitle = "Parallel supercomputinM4 @Book{Catanzaro:1991:STP, editor = "Ben J. Catanzaro", title = "The {SPARC} Technuk @Book{Cavanagh:1984:DCA, author = "Joseph J. F. Cavanagh", title = "Digital CompuA uTO#)W;=m;M{ articlefparith.bibStegun:1956:PCIrene A. Stegun and Milton AbramowitzPitfalls in computationJournal of the Society for Industrial and Applied Mathematics4207--2191956Tue Aug 28 06:16:28 2001http://www.math.utah.edu/pub/tex/bib/fparith.bib2001.08.28 06:16:28 ???Cited in cite Sterbenz:1974:FPC.ack-nhfb @Article{Stegun:1956:PC, author = "Irene A. Stegun and Milton Abramowitz", title = "Pitfalls in computation", journal = "Journal of the Society for Industrial and Applied Mathematics", volume = "4", pages = "207--219", year = "1956", bibdate = "Tue Aug 28 06:16:28 2001", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }tle = "Analog Multipliers and Squarers Using a Multigrid Modulator", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "2", pages = "82--85", month = jun, year = "1956", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1956.5219804", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:46:21 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219804", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Uh.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 15:46:21 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219804IRE Transactions on Electronic Computersack-nhfb @Article{Sydnor:1956:AMS, author = "R. L. Sydnor and T. R. O'Meara and J. Strathman", title = "Analog Multipliers and Squarers Using a Multigrid Modulator", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "2", pages = "82--85", month = jun, year = "1956", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1956.5219804", ISSN = "0367-9950", bibdate = "Thu Jun 30 15:46:21 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219804", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ,P,+WP#+IO57=m;M1Searticlefparith.bibErcoli:1957:EDOPaolo Ercoli and Roberto VaccaErrors Due to Overflow in Arithmetic Operations Particularly as Regards FINAC Electronic Computerj-J-ACM44450--455oct101957JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Thu Dec 08 09:28:48 2005http://www.math.utah.edu/pubqVN#3Gw;7=m;]; articlefparith.bibWeinb %UQ#+k;a7Ea;]%articlefparith.bibSydnor:1956:AMSR. L. Sydnor and T. R. O'Meara and J. StrathmanAnalog Multipliers and Squarers Using a Multigrid Modulatorj-IRE-TRANS-ELEC-COMPUTEC-5282--85jun61956IRELAOhttp://dx.doi.org/10.1109/TEC.1956.52198040367-9950 OR 03679950Thu Jun 30 15:46:21 MDT 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.matA One-Microsecond Adder Using One-Megacycle Circuitry", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "??", pages = "65--73", month = jun, year = "1956", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Fri Nov 09 19:38:57 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Verger:1956:OMAA. Weinberger and J. L. SmithA One-Microsecond Adder Using One-Megacycle Circuitryj-IRE-TRANS-ELEC-COMPUTEC-565--73jun61956IRELAO0367-9950 OR 03679950Fri Nov 09 19:38:57 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.11.09 19:38:57 ???IRE Transactions on Electronic Computersack-nhfb @Article{Weinberger:1956:OMA, author = "A. Weinberger and J. L. Smith", title = "A One-Microsecond Adder Using One-Megacycle Circuitry", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-5", number = "??", pages = "65--73", month = jun, year = "1956", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Fri Nov 09 19:38:57 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }ors Due to Overflow in Arithmetic Operations Particularly as Regards {FINAC} Electronic Computer", journal = j-J-ACM, volume = "4", number = "4", pages = "450--455", month = oct, year = "1957", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Thu Dec 08 09:28:48 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See letter \cite{Ercoli:1960:LEE}.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "floating-point arithmetic; overflow", }W/tex/bib/fparith.bib2005.12.08 09:28:48 ???See letter cite Ercoli:1960:LEE.Journal of the ACMfloating-point arithmetic; overflowack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Ercoli:1957:EDO, author = "Paolo Ercoli and Roberto Vacca", title = "Errors Due to Overflow in Arithmetic Operations Particularly as Regards {FINAC} Electronic Computer", journal = j-J-ACM, volume = "4", number = "4", pages = "450--455", month = oct, year = "1957", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Thu Dec 08 09:28:48 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See letter \cite{Ercoli:1960:LEE}.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", keywords = "floating-point arithmetic; overflow", }ifre iniziali dei numeri osservati. 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Stat.", volume = "35", number = "??", pages = "57--76", year = "1957", bibdate = "Sun Sep 18 11:54:25 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "29th session, 2nd delivery, Rio de Janerio.", URL = "", acknowledgement = ack-nhfb, keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law", language = "Italian", } >ZQ#'E%;a7Ea;]articlefparith.bibHowe:1957:TRAR. M. Howe and E. G. GilbertTrigonometric Resolution in Analog Computers by Means of Multiplier Elementsj-IRE-TRANS-ELEC-COMPUTEC-6286--92jun61957IRELAOhttp://dx.doi.org/10.1109/TEC.1957.52215760367-9950 OR 03679950Thu Jun 30 16:07:27 MDT 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://wwwYP #+%=m;swarticlefparith.bibHerzel:1957:SDDAmato HerzelSulla distribuzione della cifre inizi7XO #'%C=m;cs%articlefparith.bibGini:1957:SFDCorrado GiniSulla frequenza delle cifre iniziali dei numeri osservati. (Ital ella cifre iniziali dei numeri statistici. 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({Italian}) [{On} the frequency of initial digits of statistical numbers]", journal = "Atti dell XV e XVII Riunione, Societa Italiana di Statistica", volume = "??", number = "??", pages = "??--??", year = "1957", bibdate = "Sun Sep 18 12:00:07 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law", language = "Italian", }metric Resolution in Analog Computers by Means of Multiplier Elements", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-6", number = "2", pages = "86--92", month = jun, year = "1957", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1957.5221576", ISSN = "0367-9950", bibdate = "Thu Jun 30 16:07:27 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221576", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Z.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 16:07:27 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221576IRE Transactions on Electronic Computersack-nhfb @Article{Howe:1957:TRA, author = "R. 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Gilbert", title = "Trigonometric Resolution in Analog Computers by Means of Multiplier Elements", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-6", number = "2", pages = "86--92", month = jun, year = "1957", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1957.5221576", ISSN = "0367-9950", bibdate = "Thu Jun 30 16:07:27 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221576", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Analog Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-6", number = "2", pages = "100--103", month = jun, year = "1957", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1957.5221579", ISSN = "0367-9950", bibdate = "Thu Jun 30 16:07:27 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221579", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }[DT 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 16:07:27 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221579IRE Transactions on Electronic Computersack-nhfb @Article{Kalbfell:1957:EAM, author = "David C. 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Kogbetliantz", title = "Computation of $ e^n $ for $ - \infty < n < + \infty $ Using an Electronic Computer", journal = j-IBM-JRD, volume = "1", number = "2", pages = "110--115", month = apr, year = "1957", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Tue Sep 06 18:04:49 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IBM Journal of Research and Development", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", }plication", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-6", number = "3", pages = "204--205", month = sep, year = "1957", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1957.5222025", ISSN = "0367-9950", bibdate = "Thu Jun 30 16:07:34 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222025", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }]:07:34 MDT 2011http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 16:07:34 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222025IRE Transactions on Electronic Computersack-nhfb @Article{Lehman:1957:HSD, author = "M. 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Kogbetliantz", title = "Computatin of $ log Z $ and $ arctan Z $j-MATH-TABLES-OTHER-AIDS-COMPUT1116--181957MTTCAS0891-6837 OR 08916837Thu Sep 1 10:16:09 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:16:09 ???Mathematical Tables and Other Aids to Computationack-njhttp://www.ams.org/mcom/ @Article{Luke:1957:CLZ, author = "Y. L. Luke", title = "On the Computation of $ \log {Z} $ and $ \arctan {Z} $", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "11", number = "??", pages = "16--18", month = "????", year = "1957", CODEN = "MTTCAS", ISSN = "0891-6837", bibdate = "Thu Sep 1 10:16:09 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", } oG_P !#)Cs+=m;c+techreportfparith.bibMetze:1957:SPOG. 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Metze", title = "A Study of Parallel One's Complement Arithmetic Units with Separate Carry or Borrow Storage", type = "Report", number = "81", institution = "Digital Computer Laboratory, University of Illinois", address = "Urbana, IL, USA", pages = "77", year = "1957", bibdate = "Thu Nov 18 09:07:07 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Flores' book \cite[p. 485]{Flores:1963:LCA} cites this report, and says that its conclusion is that the disadvantages of one's complement arithmetic outweigh the advantages.", }-Interpreter): an automatic programming, fixed and floating-point library of subroutines for the {ERA} 1103 computer", institution = "Operations Research Office, Johns Hopkins University", address = "Bethesda, MD, USA", pages = "43", year = "1957", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Staff paper / Johns Hopkins University, Operations Research Office; ORO-SP-32 Staff paper (Johns Hopkins University. Operations Research Office); ORO-SP-32.", acknowledgement = ack-nhfb, keywords = "Military art and science --- Data processing.; Military research --- Data processing.", remark = "Cover title. ``Operating under contract with the Department of the Army.'' ``Project COMPLAB.'' ``October 1957.'' ORO-SP-32", }`ruce Taylor", title = "{COIN} (Compile-Interpreter): an automatic programming, fixed and floating-point library of subroutines for the {ERA} 1103 computer", institution = "Operations Research Office, Johns Hopkins University", address = "Bethesda, MD, USA", pages = "43", year = "1957", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Staff paper / Johns Hopkins University, Operations Research Office; ORO-SP-32 Staff paper (Johns Hopkins University. Operations Research Office); ORO-SP-32.", acknowledgement = ack-nhfb, keywords = "Military art and science --- Data processing.; Military research --- Data processing.", remark = "Cover title. ``Operating under contract with the Department of the Army.'' ``Project COMPLAB.'' ``October 1957.'' ORO-SP-32", } V`R !#++u/Em;E7mtechreportfparith.bibTaylor:1957:CCAW. Bruce TaylorCOIN (Compile-Interpreter): an automatic programming, fixed and floating-point library of subroutines for the ERA 1103 computerOperations Research Office, Johns Hopkins UniversityBethesda, MD, USA431957Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTStaff paper / Johns Hopkins University, Operations Research Office; ORO-SP-32 Staff paper (Johns Hopkins University. 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B!og Multiplier Using Carriers", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-6", number = "1", pages = "30--34", month = mar, year = "1957", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1957.5221558", ISSN = "0367-9950", bibdate = "Thu Jun 30 16:07:23 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221558", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }atp://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.06.30 16:07:23 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221558IRE Transactions on Electronic Computersack-nhfb @Article{Weibel:1957:EAM, author = "Erich S. Weibel", title = "An Electronic Analog Multiplier Using Carriers", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-6", number = "1", pages = "30--34", month = mar, year = "1957", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1957.5221558", ISSN = "0367-9950", bibdate = "Thu Jun 30 16:07:23 MDT 2011", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5221558", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } CO}CeO #-';7=m;]Oiarticlefparith.bibCoule.AdP #)#i57;K;?carticlefparith.bibBemer:1958:SMCR. W. BemerA Subroutine Method for Calculating Logarithmsj-CACM155--7may51958CACMA20,GcP #)+e57=K;?c articlefparith.bibBemer:1958:MMSRobert W. BemerA Machine Method for Square-Root Computationj-CACM116--7jan11958CACMA20001-)+bO !#1U+1Em;etechreportfparith.bibAno'8aP #++i;a7Ea;])articlefparith.bibWeibel:1957:EAMErich S. WeibelAn Electronic Analog Multiplier Using Carriersj-IRE-TRANS-ELEC-COMPUTEC-6130--34mar31957IRELAOhttp://dx.doi.org/10.1109/TEC.1957.52215580367-9950 OR 03679950Thu Jun 30 16:07:23 MDT 2011ht$rch memorandum 294", type = "{AR} Memo", number = "294 (AD 207929)", institution = "Massachusetts Institute of Technology, Naval Supersonic Laboratory", address = "Cambridge, MA, USA", pages = "7", day = "23", month = oct, year = "1958", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Error functions.; Floating-point arithmetic.", }bnymous:1958:ARMAnonymousAnalysis and research memorandum 294AR Memo294 (AD 207929)Massachusetts Institute of Technology, Naval Supersonic LaboratoryCambridge, MA, USA723oct101958Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTError functions.; Floating-point arithmetic.ack-nhfb @TechReport{Anonymous:1958:ARM, author = "Anonymous", title = "Analysis and research memorandum 294", type = "{AR} Memo", number = "294 (AD 207929)", institution = "Massachusetts Institute of Technology, Naval Supersonic Laboratory", address = "Cambridge, MA, USA", pages = "7", day = "23", month = oct, year = "1958", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Error functions.; Floating-point arithmetic.", }r Square-Root Computation", journal = j-CACM, volume = "1", number = "1", pages = "6--7", month = jan, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 15 18:35:46 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }c0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 15 18:35:46 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.15 18:35:46 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Bemer:1958:MMS, author = "Robert W. Bemer", title = "A Machine Method for Square-Root Computation", journal = j-CACM, volume = "1", number = "1", pages = "6--7", month = jan, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 15 18:35:46 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } Calculating Logarithms", journal = j-CACM, volume = "1", number = "5", pages = "5--7", month = may, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:16:09 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }d w&9s)S @Article{McGuire:1983:PCB, author = "D. W. McGuire", title = "8048 program computV^= @Article{McGrath:1994:OMC, author = "Gary McGrath", title = "Optimizing {MC68882}()S @Article{McGuire:1983:PCB, author = "D. W. McGuire", title = "8048 program computVS' @Article{McIvor:2004:IMM, author = "C. McIvor and M. McLoone and J. V. McCanny", title =Y3 @Bo]; @Book{Hamming:1973:NMS, author = "R. W. (Richard Wesley) Hamming", title = "NumerG @Book{Hamming:1986:NMS, author = "R. W. (Richard Wesley) Hamming", title = "NumerP! @Book{Hanss:2005:AFA, author = "Michael Hanss", title = "Applied fuzzy arithmetic>ŃcI @Book{Hardy:1938:ITN, author = "G. H. (Godfrey Harold) Hardy and E. M. (Edward TE @Book{Hardy:1979:ITN, author = "G. H. (Godfrey Harold) Hardy and E. M. (Edward U0a @Book{Hardy:2008:ITN, author = "G. H. (Godfrey Harold) Hardy and Edward Maitland DrbE @Book{Hart:1968:CA, author = "John F. Hart and E. W. Cheney and Charles L. Lawson ._ @Book{Hastings:1955:ADC, author = "Cecil B. {Hastings, Jr.} and Jeanne T. Hayward and .] @Book{Heinrich:1993:MRM, author = "Joe Heinrich", title = "{MIPS R4000} Microproc%ghttp://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 15:56:43 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222579IRE Transactions on Electronic Computersack-nhfb @Article{Robertson:1958:NCDb, author = "James E. Robertson", title = "A New Class of Digital Division Methods", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-7", number = "3", pages = "218--222", month = sep, year = "1958", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1958.5222579", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:43 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222579", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } |n|gnQ #+)=;a7E;]yarticlefparith.bibSchmid:1958:TFQHermann SchmidA Transistorized Four-Quadrant Time-Division Multiplier with an Accuracy of 0.1 Per Centj-IRE-TRANS-ELEC-COMPUTEC-7141--47mar31958IRELAOhttp://dx.doi.org/10.1109/TEC.1958.52220940367-9950 OR 03679950Thu Jul 14 15:56:43 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bibEmP #31[;a7E;] articlefparith.bibRobertson:1958:NCDbJames E. RobertsonA New Class of Digital Division Methodsj-IRE-TRANS-ELEC-COMPUTEC-73218--222sep91958IRELAOhttp://dx.doi.org/10.1109/TEC.1958.52225790367-9950 OR 03679950Thu Jul 14 15:56:43 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; Bur-Quadrant Time-Division Multiplier with an Accuracy of 0.1 Per Cent", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-7", number = "1", pages = "41--47", month = mar, year = "1958", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1958.5222094", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:43 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222094", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }n2011.07.14 15:56:43 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222094IRE Transactions on Electronic Computersack-nhfb @Article{Schmid:1958:TFQ, author = "Hermann Schmid", title = "A Transistorized Four-Quadrant Time-Division Multiplier with an Accuracy of 0.1 Per Cent", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-7", number = "1", pages = "41--47", month = mar, year = "1958", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1958.5222094", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:43 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222094", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }Gl Redundancy Check", journal = j-CACM, volume = "1", number = "5", pages = "10--12", month = may, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 07:22:12 MST 2001", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Sisson58; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "As more emphasis is placed on improving the accuracy of data fed into automatic computing systems, more emphasis will be placed on redundancy checking of predictable fields within the input. Two systems (at least) of checking a field of decimal digits have been proposed. In both of these it is assumed that the field to be checked is all numeric and that the redundancy must be of only one digit.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic", oldlabel = "Sisson58", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sisson58", }oIl#Sisson58; http://www.math.utah.edu/pub/tex/bib/fparith.bib2001.01.22 07:22:12 MSTAs more emphasis is placed on improving the accuracy of data fed into automatic computing systems, more emphasis will be placed on redundancy checking of predictable fields within the input. Two systems (at least) of checking a field of decimal digits have been proposed. In both of these it is assumed that the field to be checked is all numeric and that the redundancy must be of only one digit.Communications of the ACMdecimal floating-point arithmeticack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Sisson:1958:IDR, author = "Roger L. Sisson", title = "An Improved Decimal Redundancy Check", journal = j-CACM, volume = "1", number = "5", pages = "10--12", month = may, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 07:22:12 MST 2001", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Sisson58; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "As more emphasis is placed on improving the accuracy of data fed into automatic computing systems, more emphasis will be placed on redundancy checking of predictable fields within the input. Two systems (at least) of checking a field of decimal digits have been proposed. In both of these it is assumed that the field to be checked is all numeric and that the redundancy must be of only one digit.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic", oldlabel = "Sisson58", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sisson58", } ffqP #)#I57E;?c}articlefparith.bibWadey:1958:TSRW. G. WadeyTwo Square-Root Approximationsj-CACM11113--14nov111958CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Wed Jul 14 15:48:22 MDT 2004http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58; http://portal.acm.org/; http://www.mathNepO #+%C77;m;ycarticlefparith.bibTocher:LroQ #++U57Ek;'?Occarticlefparith.bibSisson:1958:IDRRoger L. SissonAn Improved Decimal Redundancy Checkj-CACM1510--12may51958CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Mon Jan 22 07:22:12 MST 2001http://dblp.uni-trier.de/db/journals/cacm/cacm1.htmHication and Division for Automatic Binary Computers", journal = j-QUART-J-MECH-APPLIED-MATH, volume = "11", number = "3", pages = "364--384", month = "????", year = "1958", CODEN = "QJMMAV", ISSN = "0033-5614", ISSN-L = "0033-5614", bibdate = "Thu Apr 2 08:38:35 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, fjournal = "Quarterly Journal of Mechanics and Applied Mathematics", }p1958:TMDK. D. TocherTechniques of Multiplication and Division for Automatic Binary Computersj-QUART-J-MECH-APPLIED-MATH113364--3841958QJMMAV0033-5614 OR 003356140033-5614 OR 00335614Thu Apr 2 08:38:35 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib1998.04.02 08:38:35 ???Quarterly Journal of Mechanics and Applied Mathematicsack-sfo @Article{Tocher:1958:TMD, author = "K. D. Tocher", title = "Techniques of Multiplication and Division for Automatic Binary Computers", journal = j-QUART-J-MECH-APPLIED-MATH, volume = "11", number = "3", pages = "364--384", month = "????", year = "1958", CODEN = "QJMMAV", ISSN = "0033-5614", ISSN-L = "0033-5614", bibdate = "Thu Apr 2 08:38:35 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, fjournal = "Quarterly Journal of Mechanics and Applied Mathematics", }mations", journal = j-CACM, volume = "1", number = "11", pages = "13--14", month = nov, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:22 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Wadey58", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wadey58", }q.utah.edu/pub/tex/bib/fparith.bib2004.07.14 15:48:22 MDTCommunications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Wadey:1958:TSR, author = "W. G. Wadey", title = "Two Square-Root Approximations", journal = j-CACM, volume = "1", number = "11", pages = "13--14", month = nov, year = "1958", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:22 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm1.html#Wadey58; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Wadey58", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Wadey58", }Pitle = "Unnormalized Floating Point Arithmetic", journal = j-J-ACM, volume = "6", number = "3", pages = "415--428", month = jul, year = "1959", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", MRclass = "68.00", MRnumber = "MR0105833 (21 \#4568)", MRreviewer = "H. H. Goldstine", bibdate = "Fri Dec 08 13:06:24 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", ZMnumber = "0121.12102", abstract = "Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model for long-run error propagation is also set forth.", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }rRth.utah.edu/pub/tex/bib/fparith.bib1995.12.08 13:06:24 ???Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model for long-run error propagation is also set forth.Journal of the Association for Computing Machinery0121.12102ack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Ashenhurst:1959:UFP, author = "Robert L. Ashenhurst and Nicholas Metropolis", title = "Unnormalized Floating Point Arithmetic", journal = j-J-ACM, volume = "6", number = "3", pages = "415--428", month = jul, year = "1959", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", MRclass = "68.00", MRnumber = "MR0105833 (21 \#4568)", MRreviewer = "H. H. Goldstine", bibdate = "Fri Dec 08 13:06:24 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", ZMnumber = "0121.12102", abstract = "Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model for long-run error propagation is also set forth.", acknowledgement = ack-nhfb, fjournal = "Journal of the Association for Computing Machinery", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } _rQ#3eY577+={;3q!earticlefparith.bibAshenhurst:1959:UFPRobert L. Ashenhurst and Nicholas MetropolisUnnormalized Floating Point Arithmeticj-J-ACM63415--428jul71959JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 0004541168.00MR0105833 (21 \#4568)H. H. GoldstineFri Dec 08 13:06:24 1995http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.maQts? (The Choice of Decimal or Binary Representation)", journal = j-CACM, volume = "2", number = "12", pages = "3--11", month = "????", year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 06:28:45 MST 2001", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Buchholz59; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic", oldlabel = "Buchholz59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Buchholz59", xxnote = "Check author first name: article has W. Buchholz; I think it should be Werner, not Wilfried.", }s rL&I:u @Article{Bajard:1998:NED, author = "Jean-Claude Bajard and Laurent-St{\'e}phane Didier and/x:u @Article{Bajard:1998:NED, author = "Jean-Claude Bajard and Laurent-St{\'e}phane Didier and/xsg @Article{Bajard:1998:RMM, author = "J.-C. Bajard and L.-S. Didier and P. Kornerup", titl/}>} @Article{Bajard:2004:FRI, author = "J.-C. Bajard and L. Imbert", title = "A full ;%K @Article{Bajard:2006:AOF, author = "J.-C. Bajard and L. Imbert and C. Negre", title = @N @Article{Baker:1975:MER, author = "P. W. Baker", title = "More Efficient Radix-2 @Article{Baker:1976:SFB, author = "P. W. Baker", title = "Suggestion for a fast b <; @Article{Baker:1992:LCE, author = "H. G. Baker", title = "Less Complex Elementary" @Article{Baker:1997:LEP, author = "Louis Baker", title = "Letter to the {Editor}:-"Fingers or Fists? (The Choice of Decimal or Binary Representation)", journal = j-CACM, volume = "2", number = "12", pages = "3--11", month = "????", year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 06:28:45 MST 2001", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Buchholz59; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic", oldlabel = "Buchholz59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Buchholz59", xxnote = "Check author first name: article has W. Buchholz; I think it should be Werner, not Wilfried.", } KK*sQ #//57Eo;?Oc- articlefparith.bibBuchholz:1959:FFCWilfried BuchholzFingers or Fists? (The Choice of Decimal or Binary Representation)j-CACM2123--111959CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Mon Jan 22 06:28:45 MST 2001http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Buchholz59; http://www.math.utah.edu/pub/tex/bib/fparith.bib2001.01.22 06:28:45 MSTCommunications of the ACMdecimal floating-point arithmeticack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Buchholz:1959:FFC, author = "Wilfried Buchholz", title = V Floating Point Arithmetic", journal = j-CACM, volume = "2", number = "5", pages = "10--15", month = may, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:23 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Carr59a; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Carr59a", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Carr59a", }tbib/fparith.bib2004.07.14 15:48:23 MDTCommunications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Carr:1959:EAF, author = "John W. {Carr III}", title = "Error Analysis in Floating Point Arithmetic", journal = j-CACM, volume = "2", number = "5", pages = "10--15", month = may, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:23 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Carr59a; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Carr59a", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Carr59a", } 66?tP #'-c57E;?c!articlefparith.bibCarr:1959:EAFJohn W. Carr IIIError Analysis in Floating Point Arithmeticj-CACM2510--15may51959CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Wed Jul 14 15:48:23 MDT 2004http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Carr59a; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/Ybbe and Simon Ramo and Dean E. Wooldridge", booktitle = "Handbook of Automation, Computation, and Control", title = "Programming and Coding", publisher = pub-WILEY, address = pub-WILEY:adr, year = "1959", LCCN = "TJ213 .G72", bibdate = "Fri Aug 20 08:41:16 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", note = "Chapter 2.", acknowledgement = ack-nhfb, bookpages = "????", remark = "1958--1961: Volume 1. Control fundamentals. Volume 2. Computers and data processing. Volume 3. Systems and components. Cited in \cite{Sterbenz:1974:FPC}.", subject = "automation; mathematics; computers; operations research", }uite Sterbenz:1974:FPC.automation; mathematics; computers; operations researchack-nhfb @InCollection{Carr:1959:PC, author = "John W. {Carr III}", editor = "Eugene M. Grabbe and Simon Ramo and Dean E. Wooldridge", booktitle = "Handbook of Automation, Computation, and Control", title = "Programming and Coding", publisher = pub-WILEY, address = pub-WILEY:adr, year = "1959", LCCN = "TJ213 .G72", bibdate = "Fri Aug 20 08:41:16 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", note = "Chapter 2.", acknowledgement = ack-nhfb, bookpages = "????", remark = "1958--1961: Volume 1. Control fundamentals. Volume 2. Computers and data processing. Volume 3. Systems and components. Cited in \cite{Sterbenz:1974:FPC}.", subject = "automation; mathematics; computers; operations research", } ZZpvN #-'U;7=m;]O?articlefparith.bibDagget_-uP %#%-ym9'!=%;!;{[incollectionfparith.bibCarr:1959:PCJohn W. Carr IIIEugene M. Grabbe and Simon Ramo and Dean E. WooldridgeHandbook of Automation, Computation, and ControlProgramming and Codingpub-WILEYpub-WILEY:adr10--151959TJ213 .G72Fri Aug 20 08:41:16 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 08:41:16 ???Chapter 2.1958--1961: Volume 1. Control fundamentals. Volume 2. Computers and data processing. Volume 3. Systems and components. Cited in c\ersions in {CORDIC}", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "5", pages = "335--339", month = sep, year = "1959", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Thu Sep 08 08:14:00 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IRE Transactions on Electronic Computers", keywords = "decimal floating-point arithmetic", }vt:1959:DBCD. H. DaggettDecimal-Binary Conversions in CORDICj-IRE-TRANS-ELEC-COMPUTEC-85335--339sep91959IRELAO0367-9950 OR 03679950Thu Sep 08 08:14:00 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.08 08:14:00 ???IRE Transactions on Electronic Computersdecimal floating-point arithmeticack-nj @Article{Daggett:1959:DBC, author = "D. H. Daggett", title = "Decimal-Binary Conversions in {CORDIC}", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "5", pages = "335--339", month = sep, year = "1959", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Thu Sep 08 08:14:00 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IRE Transactions on Electronic Computers", keywords = "decimal floating-point arithmetic", }ary Arithmetic for Discretely Variable Word Length in a Serial Computer", journal = j-CACM, volume = "2", number = "4", pages = "13--15", month = apr, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:22 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#ErcoliV59; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "ErcoliV59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/ErcoliV59", }whfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Ercoli:1959:BAD, author = "Paolo Ercoli and Roberto Vacca", title = "Binary Arithmetic for Discretely Variable Word Length in a Serial Computer", journal = j-CACM, volume = "2", number = "4", pages = "13--15", month = apr, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:22 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#ErcoliV59; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "ErcoliV59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/ErcoliV59", } 6wQ#+I!57E;?c)articlefparith.bibErcoli:1959:BADPaolo Ercoli and Roberto VaccaBinary Arithmetic for Discretely Variable Word Length in a Serial Computerj-CACM2413--15apr41959CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Wed Jul 14 15:48:22 MDT 2004http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#ErcoliV59; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2004.07.14 15:48:22 MDTCommunications of the ACMack-naNote on Rounding-Off Errors", journal = j-SIAM-REVIEW, volume = "1", number = "1", pages = "66--67", month = "????", year = "1959", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.00", MRnumber = "MR0099119 (20 \#5563)", bibdate = "Tue Nov 22 09:08:17 MST 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0168.14002", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", keywords = "numerical analysis", }x "Reprint of a Note on Rounding-Off Errors", journal = j-SIAM-REVIEW, volume = "1", number = "1", pages = "66--67", month = "????", year = "1959", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", MRclass = "65.00", MRnumber = "MR0099119 (20 \#5563)", bibdate = "Tue Nov 22 09:08:17 MST 2005", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", ZMnumber = "0168.14002", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", keywords = "numerical analysis", } QxP #/1]'577E};#1!C%articlefparith.bibForsythe:1959:RNRGeorge E. ForsytheReprint of a Note on Rounding-Off Errorsj-SIAM-REVIEW1166--671959SIREAD0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)0036-1445 OR 0036144565.00MR0099119 (20 \#5563)Tue Nov 22 09:08:17 MST 2005http://www.math.utah.edu/pub/bibnet/authors/f/forsythe-george-elmer.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg-2ed.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib2005.11.22 09:08:17 MSTSIAM Reviewnumerical analysis0168.14002ack-nhfbhttp://epubs.siam.org/sirev @Article{Forsythe:1959:RNR, author = "George E. Forsythe", title = dthe Study of Multiplication for Complement Codes", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "1", pages = "25--30", month = mar, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5222757", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:44 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222757", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }yb/ieeetranscomput.bib2011.07.14 15:56:44 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222757IRE Transactions on Electronic Computersack-nhfb @Article{Garner:1959:RMS, author = "Harvey L. Garner", title = "A Ring Model for the Study of Multiplication for Complement Codes", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "1", pages = "25--30", month = mar, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5222757", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:44 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222757", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } `8`+{P'#'A7'%=m;einproceedingsfparith.l_zP #+-?;a7E;]aarticlefparith.bibGarner:1959:RNSHarvey L. GarnerThe Residue Number Systemj-IRE-TRANS-ELEC-COMPUTEC-82140--147jun61959IRELAOhttp://dx.doi.org/10.1109/TEC.1959.52195150367-9950 OR 03679950Thu Jul 14 15:56:44 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tj=yQ #+-;a7E;]Oarticlefparith.bibGarner:1959:RMSHarvey L. GarnerA Ring Model for the Study of Multiplication for Complement Codesj-IRE-TRANS-ELEC-COMPUTEC-8125--30mar31959IRELAOhttp://dx.doi.org/10.1109/TEC.1959.52227570367-9950 OR 03679950Thu Jul 14 15:56:44 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bigr System", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "2", pages = "140--147", month = jun, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5219515", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:44 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219515", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }zex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 15:56:44 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219515IRE Transactions on Electronic Computersack-nhfb @Article{Garner:1959:RNS, author = "Harvey L. Garner", title = "The Residue Number System", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "2", pages = "140--147", month = jun, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5219515", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:44 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219515", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }ceedings of the Eastern Joint Computer Conference, Boston, MA, December 1--3, 1959", title = "Normalized floating-point arithmetic with an index of significance", volume = "16", publisher = pub-AFIPS, address = pub-AFIPS:adr, pages = "244--248", year = "1959", LCCN = "TK7885.A1 J6", bibdate = "Tue Oct 09 09:43:31 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }{bibGray:1959:NFPH. L. Gray and C. HarrisonProceedings of the Eastern Joint Computer Conference, Boston, MA, December 1--3, 1959Normalized floating-point arithmetic with an index of significance16pub-AFIPSpub-AFIPS:adr244--2481959TK7885.A1 J6Tue Oct 09 09:43:31 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.10.09 09:43:31 ???ack-nhfb @InProceedings{Gray:1959:NFP, author = "H. L. Gray and C. Harrison", booktitle = "Proceedings of the Eastern Joint Computer Conference, Boston, MA, December 1--3, 1959", title = "Normalized floating-point arithmetic with an index of significance", volume = "16", publisher = pub-AFIPS, address = pub-AFIPS:adr, pages = "244--248", year = "1959", LCCN = "TK7885.A1 J6", bibdate = "Tue Oct 09 09:43:31 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }title = "Proceedings of the International Conference on Information Processing, UNESCO", title = "Theoretical and Experimental Studies on the Accumulation of Error in the Numerical Solution of Initial Value Problems for Systems of Ordinary Differential Equations", publisher = "????", address = "????", pages = "36--43", year = "1959", LCCN = "????", bibdate = "Fri Aug 20 09:11:32 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }|Error in the Numerical Solution of Initial Value Problems for Systems of Ordinary Differential Equations36--431959Fri Aug 20 09:11:32 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.08.20 09:11:32 ???Cited in cite Sterbenz:1974:FPC.ack-nhfb @InProceedings{Henrici:1959:TES, author = "Peter Henrici", editor = "????", booktitle = "Proceedings of the International Conference on Information Processing, UNESCO", title = "Theoretical and Experimental Studies on the Accumulation of Error in the Numerical Solution of Initial Value Problems for Systems of Ordinary Differential Equations", publisher = "????", address = "????", pages = "36--43", year = "1959", LCCN = "????", bibdate = "Fri Aug 20 09:11:32 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", } ?? }R #71=57;K;[articlefparith.bibKogbetliantz:1959:CSCE. G. KogbetliantzComputation of $ sin N $, $ cos N $, and $M$ th Root of $N$ Using an Electronic Computerj-IBM-JRD32147--152apr41959IBMJAE0018-8646 (print), 2151-8556 (electronic) OR 00188646 (print), 21518556 (electronic)0018-8646 OR 00188646Thu Sep 1 10:15:56 1994ftp://garbo.uwasa.fi/pc/doc-sofq|P '#-''U=m;Minproceedingsfparith.bibHenrici:1959:TESPeter HenriciProceedings of the International Conference on Information Processing, UNESCOTheoretical and Experimental Studies on the Accumulation of non of $ \sin {N} $, $ \cos {N} $, and {$M$ th} Root of {$N$} Using an Electronic Computer", journal = j-IBM-JRD, volume = "3", number = "2", pages = "147--152", month = apr, year = "1959", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Thu Sep 1 10:15:56 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IBM Journal of Research and Development", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", }}t/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:56 ???IBM Journal of Research and Developmentack-njhttp://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520 @Article{Kogbetliantz:1959:CSC, author = "E. G. Kogbetliantz", title = "Computation of $ \sin {N} $, $ \cos {N} $, and {$M$ th} Root of {$N$} Using an Electronic Computer", journal = j-IBM-JRD, volume = "3", number = "2", pages = "147--152", month = apr, year = "1959", CODEN = "IBMJAE", ISSN = "0018-8646 (print), 2151-8556 (electronic)", ISSN-L = "0018-8646", bibdate = "Thu Sep 1 10:15:56 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IBM Journal of Research and Development", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5288520", }ns for Digital Computers Using a Modified Reflected Binary Code", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "4", pages = "449--458", month = dec, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5222057", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:45 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222057", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }~.bib2011.07.14 15:56:45 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222057IRE Transactions on Electronic Computersack-nhfb @Article{Lucal:1959:AOD, author = "Harold M. Lucal", title = "Arithmetic Operations for Digital Computers Using a Modified Reflected Binary Code", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "4", pages = "449--458", month = dec, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5222057", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:45 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5222057", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } VV4Q #+-#57;u;1Me9articlefparith.bibMuller:1959:CMGMervin E. MullerA Comparison of Methods for Generating Normal Deviates on Digital Computersj-J-ACM63376--383jul71959JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Tue Nov 1 09:33:26 1994ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib; http://v`~Q #)+1;a7E;]q articlefparith.bibLucal:1959:AODHarold M. LucalArithmetic Operations for Digital Computers Using a Modified Reflected Binary Codej-IRE-TRANS-ELEC-COMPUTEC-84449--458dec121959IRELAOhttp://dx.doi.org/10.1109/TEC.1959.52220570367-9950 OR 03679950Thu Jul 14 15:56:45 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomputsethods for Generating Normal Deviates on Digital Computers", journal = j-J-ACM, volume = "6", number = "3", pages = "376--383", month = jul, year = "1959", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Tue Nov 1 09:33:26 1994", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Distributed/QLD/Pre.1970.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, descriptors = "RVG", fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", remark = "Cited in \cite{Sterbenz:1974:FPC}.", }www.math.utah.edu/pub/tex/bib/fparith.bib1994.11.01 09:33:26 ???Journal of the ACMCited in cite Sterbenz:1974:FPC.ack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Muller:1959:CMG, author = "Mervin E. 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Moore", booktitle = "Reliability in computinM!8q @Book{Moore:1966:IA, author = "Ramon E. Moore", title = "Interval analysis", pu? @Book{Morgan:1992:NM, author = "Don Morgan", title = "Numerical Methods: Real-tim# A @Book{Moshier:1989:MPM, author = "Stephen L. B. Moshier", title = "Methods and Pr @Book{Motorola:1985:MFP, author = "Motorola", title = "{MC68881} Floating-Point Cp @Book{Motorola:1987:MMF, author = "Motorola", title = "{MC68881\slash MC68882} FlT? @Book{Motorola:1988:MFP, author = "{Motorola, Inc. Staff}", title = "{MC} 68881 a&#G @Book{Motorola:1989:FPC, author = "{Motorola, Inc.}", title = "{MC68881}\slash {M? @Book{Motorola:1989:MFP, author = "{Motorola, Inc. Staff}", title = "{MC} 68881 a56:45 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219526IRE Transactions on Electronic Computersack-nhfb @Article{Pfeiffer:1959:FQM, author = "Paul E. 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PfeifferA Four-Quadrant Multiplier Using Triangular Waves, Diodes, Resistors, and Operational Amplifiersj-IRE-TRANS-ELEC-COMPUTEC-82222--227jun61959IRELAOhttp://dx.doi.org/10.1109/TEC.1959.52195260367-9950 OR 03679950Thu Jul 14 15:56:45 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 15:ynary Numbers Modulo Three", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "2", pages = "229--229", month = jun, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5219529", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:45 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219529", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }b; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 15:56:45 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219529IRE Transactions on Electronic Computersack-nhfb @Article{Rothstein:1959:RBN, author = "Jerome Rothstein", title = "Residues of Binary Numbers Modulo Three", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "2", pages = "229--229", month = jun, year = "1959", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1959.5219529", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:56:45 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219529", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }omputation of Square Roots Without Using Division", journal = j-CACM, volume = "2", number = "11", pages = "23--24", month = nov, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:24 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See comments \cite{Traub:1960:CNM}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Sarafyan59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sarafyan59", }?idx=J79 @Article{Sarafyan:1959:NMC, author = "Diran Sarafyan", title = "A New Method of Computation of Square Roots Without Using Division", journal = j-CACM, volume = "2", number = "11", pages = "23--24", month = nov, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:24 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See comments \cite{Traub:1960:CNM}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Sarafyan59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sarafyan59", } iQ #/)57E;O?cuarticlefparith.bibSarafyan:1959:NMCDiran SarafyanA New Method of Computation of Square Roots Without Using Divisionj-CACM21123--24nov111959CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Wed Jul 14 15:48:24 MDT 2004http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sarafyan59; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2004.07.14 15:48:24 MDTSee comments cite Traub:1960:CNM.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm~ Translator Compiler of the {IBM FORTRAN Automatic Coding System}", journal = j-CACM, volume = "2", number = "2", pages = "9--21", month = feb, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:22 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sheridan59; http://ei.cs.vt.edu/~cs4304/bibliography.html; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Sheridan59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sheridan59", }idan:1959:ATC, author = "Peter B. Sheridan", title = "The Arithmetic Translator Compiler of the {IBM FORTRAN Automatic Coding System}", journal = j-CACM, volume = "2", number = "2", pages = "9--21", month = feb, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Jul 14 15:48:22 MDT 2004", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sheridan59; http://ei.cs.vt.edu/~cs4304/bibliography.html; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Sheridan59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Sheridan59", } \\Q #//'57E};?c! articlefparith.bibSheridan:1959:ATCPeter B. SheridanThe Arithmetic Translator Compiler of the IBM FORTRAN Automatic Coding Systemj-CACM229--21feb21959CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Wed Jul 14 15:48:22 MDT 2004http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Sheridan59; http://ei.cs.vt.edu/~cs4304/bibliography.html; http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2004.07.14 15:48:22 MDTCommunications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Sher root of a complex number", journal = j-COMP-J, volume = "2", number = "2", pages = "89--89", month = jul, year = "1959", CODEN = "CMPJA6", DOI = "http://dx.doi.org/10.1093/comjnl/2.2.89", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:55:11 MDT 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/020089.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/tiff/89.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", }r Journalack-nhfbhttp://comjnl.oxfordjournals.org/ @Article{Strachey:1959:TSR, author = "C. 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StracheyOn taking the square root of a complex numberj-COMP-J2289--89jul71959CMPJA6http://dx.doi.org/10.1093/comjnl/2.2.890010-4620 (print), 1460-2067 (electronic) OR 00104620 (print), 14602067 (electronic)0010-4620 OR 00104620Fri Sep 29 08:55:11 MDT 2000http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/2000.09.29 08:55:11 MDThttp://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/020089.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_02/Issue_02/tiff/89.tifThe Compute with Fixed Decimal Precision, of a Decimal Fraction", journal = j-CACM, volume = "2", number = "7", pages = "27--27", month = jul, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 07:25:37 MST 2001", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Taranto59; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic", oldlabel = "Taranto59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Taranto59", } ++rL&2e @ArticlJ @Article{Montalvo:1998:NST, author = "L. A. Montalvo and K. K. Parhi and A. Guyot", titl07$I @Article{Montgomery:1985:MMT, author = "Peter L. Montgomery", title = "Modular MuihQ @Article{Montgomery:2003:FEC, author = "Peter L. Montgomery {Kirsten Eisentr{\"a}ger, Kris:m[ @Article{Montgomery:2005:FSS, author = "Peter L. Montgomery", title = "Five, Six,?l @Article{Montoye:1990:DIR, author = "R. K. Montoye and E. Hokenek and S. L. Runyon", titQ# @Article{Montuschi:1990:SSR, author = "P. Montuschi and P. M. Mezzalama", title = 2e @Article{Montuschi:1991:OAE, author = "P. Montuschi and M. Mezzalama", title = "O!Ire @Article{Montuschi:1992:DRD, author = "P. Montuschi and L. Ciminiera", title = "D#! @Article{Montuschi:1993:RIT, author = "P. Montuschi and L. Ciminiera", title = "R&/Taranto:1959:BCF, author = "Donald Taranto", title = "Binary Conversion, with Fixed Decimal Precision, of a Decimal Fraction", journal = j-CACM, volume = "2", number = "7", pages = "27--27", month = jul, year = "1959", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Jan 22 07:25:37 MST 2001", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Taranto59; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic", oldlabel = "Taranto59", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Taranto59", } eO #+%e;7;K;]]articlefparith.bibVoldeQ #-)57EK;?Ocarticlefparith.bibTaranto:1959:BCFDonald TarantoBinary Conversion, with Fixed Decimal Precision, of a Decimal Fractionj-CACM2727--27jul71959CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Mon Jan 22 07:25:37 MST 2001ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://dblp.uni-trier.de/db/journals/cacm/cacm2.html#Taranto59; http://www.math.utah.edu/pub/tex/bib/fparith.bib2001.01.22 07:25:37 MSTCommunications of the ACMdecimal floating-point arithmeticack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{etric Computing Technique", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "5", pages = "330--334", month = sep, year = "1959", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Thu Sep 1 10:15:31 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IRE Transactions on Electronic Computers", }r:1959:CTCJ. E. VolderThe CORDIC Trigonometric Computing Techniquej-IRE-TRANS-ELEC-COMPUTEC-85330--334sep91959IRELAO0367-9950 OR 03679950Thu Sep 1 10:15:31 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:31 ???IRE Transactions on Electronic Computersack-nj @Article{Volder:1959:CTC, author = "J. E. Volder", title = "The {CORDIC} Trigonometric Computing Technique", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-8", number = "5", pages = "330--334", month = sep, year = "1959", CODEN = "IRELAO", ISSN = "0367-9950", bibdate = "Thu Sep 1 10:15:31 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IRE Transactions on Electronic Computers", }ytical Iterative Processes", journal = j-COMP-J, volume = "1", number = "4", pages = "163--167", month = jan, year = "1959", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:55:07 MDT 2000", bibsource = "Compiler/semantics.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/010163.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/163.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/164.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/165.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/166.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/167.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", }4620Fri Sep 29 08:55:07 MDT 2000Compiler/semantics.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/2000.09.29 08:55:07 MDThttp://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/010163.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/163.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/164.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/165.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/166.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/167.tifThe Computer Journalack-nhfbhttp://comjnl.oxfordjournals.org/ @Article{Wensley:1959:CNA, author = "J. H. Wensley", title = "A Class of Non-Analytical Iterative Processes", journal = j-COMP-J, volume = "1", number = "4", pages = "163--167", month = jan, year = "1959", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:55:07 MDT 2000", bibsource = "Compiler/semantics.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/010163.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/163.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/164.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/165.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/166.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_01/Issue_04/tiff/167.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } +Q #-'g57E;'5Okarticlefparith.bibWensley:1959:CNAJ. H. WensleyA Class of Non-Analytical Iterative Processesj-COMP-J14163--167jan11959CMPJA60010-4620 (print), 1460-2067 (electronic) OR 00104620 (print), 14602067 (electronic)0010-4620 OR 0010some methods of numerical integration using floating point arithmetic", type = "Thesis ({M.S. in Mathematics})", school = "Texas A.\&M. College", address = "College Station, TX, USA", pages = "50", year = "1959", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } ddO '#)/-E3=Em;!mastersthesisfparith.bibYoung:1959:SSMJohn Mackay YoungA study of some methods of numerical integration using floating point arithmeticThesis (M.S. in Mathematics)Texas A.&M. CollegeCollege Station, TX, USA501959Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTack-nhfb @MastersThesis{Young:1959:SSM, author = "John Mackay Young", title = "A study of some methods of numerical integration using floating point arithmetic", type = "Thesis ({M.S. in Mathematics})", school = "Texas A.\&M. College", address = "College Station, TX, USA", pages = "50", year = "1959", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }Correcting Binary Codes for Arithmetic Operations", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-9", number = "3", pages = "333--337", month = sep, year = "1960", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1960.5219855", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:34:12 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219855", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }eeetranscomput.bib2011.07.14 15:34:12 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219855IRE Transactions on Electronic Computersack-nhfb @Article{Brown:1960:EDC, author = "David T. Brown", title = "Error Detecting and Correcting Binary Codes for Arithmetic Operations", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-9", number = "3", pages = "333--337", month = sep, year = "1960", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1960.5219855", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:34:12 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219855", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } 1x P #'%e;a7E;]{articlefparith.bibCroy:1960:IADJohn E. CroyImproved Arrangement of a Decimal Multiplierj-IRE-TRANS-ELEC-COMPUTEC-92263--263jun61960IRELAOhttp://dx.doi.org/10.1109/TEC.1960.52198300367-9950 OR 03679950Thu Jul 14 15:34:11 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparitC Q #));a7E;]Uarticlefparith.bibBrown:1960:EDCDavid T. BrownError Detecting and Correcting Binary Codes for Arithmetic Operationsj-IRE-TRANS-ELEC-COMPUTEC-93333--337sep91960IRELAOhttp://dx.doi.org/10.1109/TEC.1960.52198550367-9950 OR 03679950Thu Jul 14 15:34:12 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/i a Decimal Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-9", number = "2", pages = "263--263", month = jun, year = "1960", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1960.5219830", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:34:11 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219830", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }h.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 15:34:11 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219830IRE Transactions on Electronic Computersack-nhfb @Article{Croy:1960:IAD, author = "John E. Croy", title = "Improved Arrangement of a Decimal Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-9", number = "2", pages = "263--263", month = jun, year = "1960", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1960.5219830", ISSN = "0367-9950", bibdate = "Thu Jul 14 15:34:11 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219830", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }}: {Errors} Due to Overflow in Arithmetic Operations", journal = j-CACM, volume = "3", number = "12", pages = "A9--A9", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:29 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Ercoli:1957:EDO}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }b/tex/bib/fparith.bib2005.11.25 18:19:29 MSTSee cite Ercoli:1957:EDO.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Ercoli:1960:LEE, author = "Paolo Ercoli", title = "Letter to the {Editor}: {Errors} Due to Overflow in Arithmetic Operations", journal = j-CACM, volume = "3", number = "12", pages = "A9--A9", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:29 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Ercoli:1957:EDO}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } aQ #+%57E5;??ccarticlefparith.bibErcoli:1960:LEEPaolo ErcoliLetter to the Editor: Errors Due to Overflow in Arithmetic Operationsj-CACM312A9--A9dec121960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:19:29 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/puion Process for Digital Computers", journal = j-CACM, volume = "3", number = "4", pages = "241--245", month = apr, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:26 MST 2005", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Gurzi60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Gurzi60", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gurzi60", }icle{Gurzi:1960:HSM, author = "Fred Gurzi", title = "A High-Speed Multiplication Process for Digital Computers", journal = j-CACM, volume = "3", number = "4", pages = "241--245", month = apr, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:26 MST 2005", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Gurzi60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Gurzi60", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Gurzi60", } gg P #)!57E1;?carticlefparith.bibGurzi:1960:HSMFred GurziA High-Speed Multiplication Process for Digital Computersj-CACM34241--245apr41960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:19:26 MST 2005http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Gurzi60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:19:26 MSTCommunications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Arts for floating point trigonometric, inverse trigonometric hyperbolic and exponential functions", type = "Group report", number = "30G-0009", institution = "Massachusetts Institute of Technology, Lincoln Laboratory", address = "Lexington, MA, USA", pages = "7", year = "1960", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Trigonometrical functions --- Computer programs.", remark = "Cover title. ``Millstone Hill Radar Station.'' ``1 November 1960.'' Air Force Contract", }ww.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTTrigonometrical functions --- Computer programs.Cover title. ``Millstone Hill Radar Station.'' ``1 November 1960.'' Air Force Contractack-nhfb @TechReport{Jensen:1960:CIF, author = "B. A. Jensen", title = "Coding instructions for floating point trigonometric, inverse trigonometric hyperbolic and exponential functions", type = "Group report", number = "30G-0009", institution = "Massachusetts Institute of Technology, Lincoln Laboratory", address = "Lexington, MA, USA", pages = "7", year = "1960", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Trigonometrical functions --- Computer programs.", remark = "Cover title. ``Millstone Hill Radar Station.'' ``1 November 1960.'' Air Force Contract", } t P !#+%m%1Em;m9ktechreportfparith.bibJensen:1960:CIFB. A. JensenCoding instructions for floating point trigonometric, inverse trigonometric hyperbolic and exponential functionsGroup report30G-0009Massachusetts Institute of Technology, Lincoln LaboratoryLexington, MA, USA71960Sat Feb 24 15:01:45 MST 1996http://w System", journal = j-CACM, volume = "3", number = "4", pages = "245--247", month = apr, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.99", MRnumber = "23\#B554", MRreviewer = "C. B. Haselgrove", bibdate = "Fri Nov 25 18:19:26 MST 2005", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Knuth60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; MathSciNet database", note = "Errata, {\sl Commun\-i\-ca\-tions of the ACM\/ \bf 4} (August 1961), 355 \cite{Knuth:1961:EIN}. See \cite{Nadler:1961:DSR} for extension to division and square root.", abstract = "For centuries the decimal number system reigned supreme, except, perhaps, among the Mayan Indians, until the advent of digital computers brought the binary and octal systems into the limelight. This paper introduces another number system which may prove useful for manipulating complex numbers on machines.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Knuth60", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Knuth60", ZMreviewer = "C. B. Haselgrove", }ught the binary and octal systems into the limelight. This paper introduces another number system which may prove useful for manipulating complex numbers on machines.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Knuth:1960:INS, author = "Donald E. Knuth", title = "An Imaginary Number System", journal = j-CACM, volume = "3", number = "4", pages = "245--247", month = apr, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.99", MRnumber = "23\#B554", MRreviewer = "C. B. Haselgrove", bibdate = "Fri Nov 25 18:19:26 MST 2005", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Knuth60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; MathSciNet database", note = "Errata, {\sl Commun\-i\-ca\-tions of the ACM\/ \bf 4} (August 1961), 355 \cite{Knuth:1961:EIN}. See \cite{Nadler:1961:DSR} for extension to division and square root.", abstract = "For centuries the decimal number system reigned supreme, except, perhaps, among the Mayan Indians, until the advent of digital computers brought the binary and octal systems into the limelight. This paper introduces another number system which may prove useful for manipulating complex numbers on machines.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Knuth60", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Knuth60", ZMreviewer = "C. B. Haselgrove", } }}sR #)+A57-E[;7q?carticlefparith.bibKnuth:1960:INSDonald E. KnuthAn Imaginary Number Systemj-CACM34245--247apr41960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 0001078265.9923\#B554C. B. HaselgroveFri Nov 25 18:19:26 MST 2005http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Knuth60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; MathSciNet database2005.11.25 18:19:26 MSTErrata, sl Communications of the ACM bf 4 (August 1961), 355 cite Knuth:1961:EIN. See cite Nadler:1961:DSR for extension to division and square root.For centuries the decimal number system reigned supreme, except, perhaps, among the Mayan Indians, until the advent of digital computers bro of Round-Off Errors in the Numerical Integration of the Heat Equation", journal = j-MATH-COMPUT, volume = "14", number = "70", pages = "139--146", month = apr, year = "1960", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }MCMPAF0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)0025-5718 OR 00255718Tue Oct 13 08:06:19 MDT 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database1998.10.13 08:06:19 MDTMathematics of Computationack-nhfbhttp://www.ams.org/mcom/ @Article{Lowan:1960:PREa, author = "Arnold N. Lowan", title = "On the Propagation of Round-Off Errors in the Numerical Integration of the Heat Equation", journal = j-MATH-COMPUT, volume = "14", number = "70", pages = "139--146", month = apr, year = "1960", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } sQ #++9'57E ;A=Iarticlefparith.bibLowan:1960:PREbArnold N. LowanOn the Propagation of Round-Off Errors in the Numerical Treatment of the Wave Equationj-MATH-COMPUT1471223--228jul719wQ #++='57E ;A=Marticlefparith.bibLowan:1960:PREaArnold N. LowanOn the Propagation of Round-Off Errors in the Numerical Integration of the Heat Equationj-MATH-COMPUT1470139--146apr41960 of Round-Off Errors in the Numerical Treatment of the Wave Equation", journal = j-MATH-COMPUT, volume = "14", number = "71", pages = "223--228", month = jul, year = "1960", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }60MCMPAF0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)0025-5718 OR 00255718Tue Oct 13 08:06:19 MDT 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database1998.10.13 08:06:19 MDTMathematics of Computationack-nhfbhttp://www.ams.org/mcom/ @Article{Lowan:1960:PREb, author = "Arnold N. Lowan", title = "On the Propagation of Round-Off Errors in the Numerical Treatment of the Wave Equation", journal = j-MATH-COMPUT, volume = "14", number = "71", pages = "223--228", month = jul, year = "1960", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }h Precision Calculation of $ \operatorname {Arcsin} x $, $ \operatorname {Arccos} x $, and $ \operatorname {Arctan} x $ (in {Technical Notes and Short Papers})", journal = j-MATH-COMPUT, volume = "14", number = "71", pages = "270--274", month = jul, year = "1960", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nj # " and " # ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }; JSTOR database1998.10.13 08:06:19 MDTMathematics of Computationack-njhttp://www.ams.org/mcom/ @Article{Perlin:1960:HPC, author = "I. E. Perlin and J. R. Garrett", title = "High Precision Calculation of $ \operatorname {Arcsin} x $, $ \operatorname {Arccos} x $, and $ \operatorname {Arctan} x $ (in {Technical Notes and Short Papers})", journal = j-MATH-COMPUT, volume = "14", number = "71", pages = "270--274", month = jul, year = "1960", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nj # " and " # ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } UGP#'AG57;K;?carticlefparith.bibPope:1960:MPAD. A. Pope and M. L. SteinMultiple Precision Arithmeticj-CACM312652--654dec121960CACMA2000[O #)o57;m;?cwarticlefparith.bibPerry0Q#+I;'57Ek;A=Garticlefparith.bibPerlin:1960:HPCI. E. Perlin and J. R. GarrettHigh Precision Calculation of $ operatorname Arcsin x $, $ operatorname Arccos x $, and $ operatorname Arctan x $ (in Technical Notes and Short Papers)j-MATH-COMPUT1471270--274jul71960MCMPAF0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)0025-5718 OR 00255718Tue Oct 13 08:06:19 MDT 1998ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bibg point representations", journal = j-CACM, volume = "3", year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "352.68.00", MRnumber = "22\#8714", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }:1960:CBFC. PerryConversion between floating point representationsj-CACM3270--2741960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782352.68.0022\#8714Fri Dec 8 08:24:14 1995http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 08:24:14 ???Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Perry:1960:CBF, author = "C. Perry", title = "Conversion between floating point representations", journal = j-CACM, volume = "3", year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "352.68.00", MRnumber = "22\#8714", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }Precision Arithmetic", journal = j-CACM, volume = "3", number = "12", pages = "652--654", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:08 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } ++rL&fO @Article{Rivolo:1998:CDR, author = "M. T. Rivolo and A. Simi", title = "Il Calcol0gqc @Article{Rix:1982:UQA, author = "P. Rix", title = "{Universeller Quad\-rat\-wurz\-[ @Article{Rjabko:1977:AHM, author = "B. Ja. Rjabko", title = "An analogue of {Haffg1c @Article{Robertazzi:1988:BOF, author = "T. G. Robertazzi and S. C. Schwartz", title = jC @Article{Robertson:1955:TCM, author = "J. E. Robertson", title = "Two's Complemen._ @Article{Robertson:1956:NCD, author = "J. E. Robertson", title = "A new class of A @Article{Robertson:1958:NCDa, author = "J. E. Robertson", title = "A new class of>C @Article{Robertson:1958:NCDb, author = "James E. Robertson", title = "A New Class@G @Article{Robertson:1970:CBM, author = "J. E. Robertson", title = "The Corresponde1-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 1 10:15:08 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:08 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Pope:1960:MPA, author = "D. A. Pope and M. L. Stein", title = "Multiple Precision Arithmetic", journal = j-CACM, volume = "3", number = "12", pages = "652--654", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:08 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }arithmetic", crossref = "Alt:1960:AC", pages = "231--308", year = "1960", bibdate = "Sat May 18 14:36:56 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } pN %#3//#=m;;Nincollectionfparith.bibReitwiesner:1960:BAG. W. ReitwiesnerBinary arithmeticAlt:1960:AC231--3081960Sat May 18 14:36:56 2002http://www.math.utah.edu/pub/tex/bib/fparith.bib2002.05.18 14:36:56 ???ack-nhfb @InCollection{Reitwiesner:1960:BA, author = "G. W. Reitwiesner", title = "Binary arithmetic", crossref = "Alt:1960:AC", pages = "231--308", year = "1960", bibdate = "Sat May 18 14:36:56 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }utation of square roots through continued squaring", journal = j-CACM, volume = "3", number = "5", pages = "319--321", month = may, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.00", MRnumber = "22\#8639", bibdate = "Fri Nov 25 18:19:26 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions", ZMreviewer = "M. Lotkin", }tionsack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Sarafyan:1960:DCS, author = "Diran Sarafyan", title = "Divisionless computation of square roots through continued squaring", journal = j-CACM, volume = "3", number = "5", pages = "319--321", month = may, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.00", MRnumber = "22\#8639", bibdate = "Fri Nov 25 18:19:26 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions", ZMreviewer = "M. Lotkin", } QQ #/)57E5;?Mcarticlefparith.bibSarafyan:1960:DCSDiran SarafyanDivisionless computation of square roots through continued squaringj-CACM35319--321may51960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 0001078265.0022\#8639Fri Nov 25 18:19:26 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:19:26 MSTCommunications of the ACM$sqrt (x)$; elementary funcr}: Rounding in Floating-Point Arithmetic", journal = j-CACM, volume = "3", number = "12", pages = "A9--A9", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:29 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "floating-point arithmetic; rounding errors", }2005.11.25 18:19:29 MSTCommunications of the ACMfloating-point arithmetic; rounding errorsack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Silver:1960:LER, author = "Roland Silver", title = "Letter to the {Editor}: Rounding in Floating-Point Arithmetic", journal = j-CACM, volume = "3", number = "12", pages = "A9--A9", month = dec, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:29 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "floating-point arithmetic; rounding errors", } mQ #+'57E5;?ackarticlefparith.bibSilver:1960:LERRoland SilverLetter to the Editor: Rounding in Floating-Point Arithmeticj-CACM312A9--A9dec121960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:19:29 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bibtion Logic", journal = j-TRANS-IRE, volume = "EC-9", number = "2", pages = "226--230", month = jun, year = "1960", bibdate = "Fri Nov 09 19:17:08 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the IRE", } N #/#I#=m;;articlefparith.bibSklansky:1960:CSAJ. SklanskyConditional Sum Addition Logicj-TRANS-IREEC-92226--230jun61960Fri Nov 09 19:17:08 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.11.09 19:17:08 ???Transactions of the IREack-nhfb @Article{Sklansky:1960:CSA, author = "J. Sklansky", title = "Conditional Sum Addition Logic", journal = j-TRANS-IRE, volume = "EC-9", number = "2", pages = "226--230", month = jun, year = "1960", bibdate = "Fri Nov 09 19:17:08 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Transactions of the IRE", }od of Computation of Square Roots Without Using Division''}]", journal = j-CACM, volume = "3", number = "2", pages = "86--86", month = feb, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:25 MST 2005", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Sarafyan:1959:NMC}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Traub60", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Traub60", }thod of Computation of Square Roots Without Using Division''}]", journal = j-CACM, volume = "3", number = "2", pages = "86--86", month = feb, year = "1960", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:25 MST 2005", bibsource = "http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Sarafyan:1959:NMC}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", oldlabel = "Traub60", XMLdata = "ftp://ftp.informatik.uni-trier.de/pub/users/Ley/bib/records.tar.gz#journals/cacm/Traub60", } FFUP #'#A57'=m;)1Me- articlefparith.bibWade?Q #)#S57E1;C?ckarticlefparith.bibTraub:1960:CNMJ. F. TraubComments on a recent paper [``A New Method of Computation of Square Roots Without Using Division'']j-CACM3286--86feb21960CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:19:25 MST 2005http://dblp.uni-trier.de/db/journals/cacm/cacm3.html#Traub60; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:19:25 MSTSee cite Sarafyan:1959:NMC.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Traub:1960:CNM, author = "J. F. Traub", title = "Comments on a recent paper [{``A New Mecs", journal = j-J-ACM, volume = "7", number = "2", pages = "129--139", month = apr, year = "1960", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", MRclass = "65.00 (68.00)", MRnumber = "22\#6090", bibdate = "Fri Dec 08 14:44:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-style arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", remark = "Cited in \cite{Sterbenz:1974:FPC}.", reviewer = "C. B. Haselgrove", xxmonth = "none", xxnumber = "none", }y:1960:FAW. G. WadeyFloating-Point Arithmeticsj-J-ACM72129--139apr41960JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 0004541165.00 (68.00)22\#6090Fri Dec 08 14:44:46 1995http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 14:44:46 ???Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-style arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.Journal of the ACMCited in cite Sterbenz:1974:FPC.ack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401C. B. Haselgrove @Article{Wadey:1960:FA, author = "W. G. Wadey", title = "Floating-Point Arithmetics", journal = j-J-ACM, volume = "7", number = "2", pages = "129--139", month = apr, year = "1960", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", MRclass = "65.00 (68.00)", MRnumber = "22\#6090", bibdate = "Fri Dec 08 14:44:46 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Three types of floating-point arithmetics with error control are discussed and compared with conventional floating-point arithmetic. General multiplication and division shift criteria are derived (for any base) for Metropolis-style arithmetics. The limitations and most suitable range of application for each arithmetic are discussed.", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", remark = "Cited in \cite{Sterbenz:1974:FPC}.", reviewer = "C. B. Haselgrove", xxmonth = "none", xxnumber = "none", }of Floating-Point Computation", journal = j-NUM-MATH, volume = "2", pages = "319--340", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.00", MRnumber = "MR0116477 (22 \#7264)", MRreviewer = "C. B. Haselgrove", bibdate = "Fri May 14 17:18:08 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/16", }p://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.05.14 17:18:08 ???Numerische Mathematikack-nhfbhttp://link.springer.com/journal/16 @Article{Wilkinson:1960:EAF, author = "J. H. Wilkinson", title = "Error Analysis of Floating-Point Computation", journal = j-NUM-MATH, volume = "2", pages = "319--340", month = dec, year = "1960", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", MRclass = "65.00", MRnumber = "MR0116477 (22 \#7264)", MRreviewer = "C. B. Haselgrove", bibdate = "Fri May 14 17:18:08 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/w/wilkinson-james-hardy.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/16", } xS#)C#I)+57C;cKqYQarticlefparith.bibAmble:1961:AFPO. Amble and Jan V. Garwickˊ|P #1+e!577-=;7Skarticlefparith.bibWilkinson:1960:EAFJ. H. WilkinsonError Analysis of Floating-Point Computationj-NUM-MATH2319--340dec121960NUMMA70029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)0029-599X OR 0029599X65.00MR0116477 (22 \#7264)C. B. HaselgroveFri May 14 17:18:08 2010httAccuracy of Floating Point Computers {[BIT {\bf 1}(2), 1961, pp. 87--88]}", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "1", number = "3", pages = "220--222", month = sep, year = "1961", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933434", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Wed Jan 4 18:52:07 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=3; http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Garwick:1961:AFP,Garwick:1961:RAF}.", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=3&spage=220", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point accuracy; floating-point arithmetic", xxpages = "220--221??", } rL&? @hH @Article{Feldstein:1996:OUM, -[ @Article{Fateman:1976:MAP, author = "R. J. Fateman", tiT) @Article{Feldstein:2006:GTO, author = "Alan Feldstein and Peter R. Turner", title = @H @Article{Feldstein:1996:OUM, author = "Alan Feldstein and Peter R. Turner", title = ,c! @Article{Felt:1893:MA, author = "Dorr E. Felt", title = "Mechanical Arithmetic", @Article{Fenn:1996:MDD, author = "S. T. J. Fenn and M. Benaissa and D. Taylor", title = ,hW/ @Article{Fenwick:1969:BMO, author = "P. M. Fenwick", title = "Binary MultiplicatiU+ @Article{Fenwick:1972:BRD, author = "Peter M. Fenwick", title = "A Binary Represe~} @Article{Ferguson:1984:SFP, author = "Kenneth M. Ferguson", title = "{Savage} flo{N @Article{Ferguson:1991:SMC, author = "Warren E. {Ferguson, Jr.}", title = "Select QX"xX:9D >;w @Article{Bajard:1994:SOL, author = "J.-C. Bajard and J. Duprat and S. Kla and J.-M. 'P"xF @Article{Banerji:1974:NIM, author = >;w @Article{Bajard:1994:SOL, author = "J.-C. Bajard and J. Duprat and S. Kla and J.-M. '@zu @Article{Azgapetian:1968:CAP, author = "V. Azgapetian", title = "Comment on {``An$/_ @Article{Atlamazoglou:2001:ALP, author = "P. E. Atlamazoglou and H. T. Anastassiu and D. I5?*V- @Article{Bailey:1995:FBM, author = "David H. Bailey", title = "A {Fortran-90} Based Multiprecision System", journal = j-TOMS, volume = "21", number = "4", pages = "*>;w @Article{Bajard:1994:SOL, author = "J.-C. Bajard and J. Duprat and S. Kla and J.-M. 'PUjU @Article{Bakhrakh:1992:NIF, author = "S. M. Bakhrakh and S. V. Velichko and N. E. "On the Accuracy of Floating Point Computers [BIT bf 1(2), 1961, pp. 87--88]j-NORDISK-TIDSKR-INFORM-BEHAND13220--222sep91961BITTEL, NBITABhttp://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF019334340006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)0006-3835 OR 00063835Wed Jan 4 18:52:07 MST 2006http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=3; http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2006.01.04 18:52:07 MSTSee cite Garwick:1961:AFP,Garwick:1961:RAF.http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=3&spage=220floating-point accuracy; floating-point arithmeticack-nhfbhttp://link.springer.com/journal/10543 @Article{Amble:1961:AFP, author = "O. Amble and Jan V. Garwick", title = "On the Accuracy of Floating Point Computers {[BIT {\bf 1}(2), 1961, pp. 87--88]}", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "1", number = "3", pages = "220--222", month = sep, year = "1961", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01933434", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Wed Jan 4 18:52:07 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=3; http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Garwick:1961:AFP,Garwick:1961:RAF}.", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=3&spage=220", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point accuracy; floating-point arithmetic", xxpages = "220--221??", }ethods", type = "Notes on Applied Science", number = "16", institution = "National Physical Laboratory", address = "Her Majesty's Stationery Office, London", year = "1961", bibdate = "Fri Aug 20 10:05:25 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", } wwN !#1==E[=m;M techreportfparith.bibAnonymous:1961:MCMAnonymousModern Computing MethodsNotes on Applied Science16National Physical LaboratoryHer Majesty's Stationery Office, London220--2221961Fri Aug 20 10:05:25 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.08.20 10:05:25 ???Cited in cite Sterbenz:1974:FPC.ack-nhfb @TechReport{Anonymous:1961:MCM, author = "Anonymous", title = "Modern Computing Methods", type = "Notes on Applied Science", number = "16", institution = "National Physical Laboratory", address = "Her Majesty's Stationery Office, London", year = "1961", bibdate = "Fri Aug 20 10:05:25 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }-Digit Number Representations for Fast Parallel Arithmetic", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "3", pages = "389--400", month = sep, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219227", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219227", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }mput.bib2011.07.14 14:45:04 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219227IRE Transactions on Electronic Computersack-nhfb @Article{Avizienis:1961:SDN, author = "Algirdas Avi{\v{z}}ienis", title = "Signed-Digit Number Representations for Fast Parallel Arithmetic", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "3", pages = "389--400", month = sep, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219227", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219227", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ##QQ #11 ;a7E;]iarticlefparith.bibAvizienis:1961:SDNAlgirdas AvizienisSigned-Digit Number Representations for Fast Parallel Arithmeticj-IRE-TRANS-ELEC-COMPUTEC-103389--400sep91961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52192270367-9950 OR 03679950Thu Jul 14 14:45:04 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscorelator Based on the Residue Number System", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "1", pages = "63--70", month = mar, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219154", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:02 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219154", abstract = "A system design for a digital correlator based on the application of the residue number system for computation is presented. Areas of investigation include sampling, analog-to-residue conversion, logical design of the arithmetic units, residue-to-analog conversion, and modes of operation of the proposed digital correlator. The advantages of speed of computation and simplicity of logic due to the use of a residue number system are shown to result in a significantly faster and simpler system than if a conventional number system were used. The resulting digital correlator is designed for megacycle sampling and computation with a 0.1 per cent system precision.", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }r system are shown to result in a significantly faster and simpler system than if a conventional number system were used. The resulting digital correlator is designed for megacycle sampling and computation with a 0.1 per cent system precision.IRE Transactions on Electronic Computersack-nhfb @Article{Cheney:1961:DCB, author = "Philip Warren Cheney", title = "A Digital Correlator Based on the Residue Number System", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "1", pages = "63--70", month = mar, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219154", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:02 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219154", abstract = "A system design for a digital correlator based on the application of the residue number system for computation is presented. Areas of investigation include sampling, analog-to-residue conversion, logical design of the arithmetic units, residue-to-analog conversion, and modes of operation of the proposed digital correlator. The advantages of speed of computation and simplicity of logic due to the use of a residue number system are shown to result in a significantly faster and simpler system than if a conventional number system were used. The resulting digital correlator is designed for megacycle sampling and computation with a 0.1 per cent system precision.", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ,,DQ #+5{;a7E;=]7articlefparith.bibCheney:1961:DCBPhilip Warren CheneyA Digital Correlator Based on the Residue Number Systemj-IRE-TRANS-ELEC-COMPUTEC-10163--70mar31961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52191540367-9950 OR 03679950Thu Jul 14 14:45:02 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 14:45:02 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219154A system design for a digital correlator based on the application of the residue number system for computation is presented. Areas of investigation include sampling, analog-to-residue conversion, logical design of the arithmetic units, residue-to-analog conversion, and modes of operation of the proposed digital correlator. The advantages of speed of computation and simplicity of logic due to the use of a residue numbethod of Integer Conversion", journal = j-CACM, volume = "4", number = "7", pages = "315--316", month = jul, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 08:14:59 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }son:1961:DMIW. K. ClarksonA Divisionless Method of Integer Conversionj-CACM47315--316jul71961CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 08 08:14:59 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.08 08:14:59 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Clarkson:1961:DMI, author = "W. K. Clarkson", title = "A Divisionless Method of Integer Conversion", journal = j-CACM, volume = "4", number = "7", pages = "315--316", month = jul, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 08:14:59 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } 88"O #-'!=m;+ articlefparith.bibFreimߌ!Q #'%];a7E;]articlefparith.bibCroy:1961:RTMJohn E. CroyRapid Technique of Manual or Machine Binary-to-Decimal Integer Conversion Using Decimal Radix Arithmeticj-IRE-TRANS-ELEC-COMPUTEC-104777--777dec121961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52192860367-9950 OR 03679950Thu Jul 14 14:45:05 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 14:4݉M P#%A[57=K;?carticlefparith.bibCox:1961:NMPA. G. Cox and H. A. LutherA Note on Multiple Precision Arithmeticj-CACM48353aug81961CACMA20001-078ۈaO #/)c57=m;?carticlefparith.bibClarkMultiple Precision Arithmetic", journal = j-CACM, volume = "4", number = "8", pages = "353", month = aug, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 15 18:36:06 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }2 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 15 18:36:06 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.15 18:36:06 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Cox:1961:NMP, author = "A. G. Cox and H. A. Luther", title = "A Note on Multiple Precision Arithmetic", journal = j-CACM, volume = "4", number = "8", pages = "353", month = aug, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 15 18:36:06 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }al or Machine Binary-to-Decimal Integer Conversion Using Decimal Radix Arithmetic", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "4", pages = "777--777", month = dec, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219286", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:05 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219286", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }5:05 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219286IRE Transactions on Electronic Computersack-nhfb @Article{Croy:1961:RTM, author = "John E. Croy", title = "Rapid Technique of Manual or Machine Binary-to-Decimal Integer Conversion Using Decimal Radix Arithmetic", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "4", pages = "777--777", month = dec, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219286", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:05 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219286", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }s of certain binary division algorithms", journal = j-IRE-PROC, volume = "49", number = "1", pages = "91--103", month = jan, year = "1961", bibdate = "Mon Sep 16 16:12:21 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, fjournal = "IRE Proceedings", xxnote = "Check author name: I have found this paper cited both as Freiman and as Frieman?? Hennessy and Patterson \cite{Hennessy:2002:CAQ} have Freiman.", }an:1961:SACC. V. FreimanStatistical analysis of certain binary division algorithmsj-IRE-PROC49191--103jan11961Mon Sep 16 16:12:21 2002http://www.math.utah.edu/pub/tex/bib/fparith.bib2002.09.16 16:12:21 ???IRE Proceedingsack-sfo @Article{Freiman:1961:SAC, author = "C. V. Freiman", title = "Statistical analysis of certain binary division algorithms", journal = j-IRE-PROC, volume = "49", number = "1", pages = "91--103", month = jan, year = "1961", bibdate = "Mon Sep 16 16:12:21 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, fjournal = "IRE Proceedings", xxnote = "Check author name: I have found this paper cited both as Freiman and as Frieman?? Hennessy and Patterson \cite{Hennessy:2002:CAQ} have Freiman.", }C. G. Brockus and R. J. Gonzalez and D. P. Rozenberg", title = "Residue number systems for computers", type = "{ASD} Technical Report", number = "61-483", institution = "Electronic Technology Laboratory, The University of Michigan", address = "Ann Arbor, MI, USA", month = oct, year = "1961", bibdate = "Thu Nov 18 09:27:06 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://deepblue.lib.umich.edu/bitstream/2027.42/5023/4/bac2784.0001.001.txt", abstract = "The purpose of the research performed under this contract was to investigate the feasibility of residue number systems in their applications to digital computers. The problems of such an application are the ones of magnitude determination, sign determination, overflow, scaling, and division. These problems are not independent, but are found to be quite interrelated. A theoretical treatment of residue number systems is given which lays the foundation for a unified study of the complete problem. Treatments of an organizational nature are given which deal with multiplication, division, and scaling. The matter of correlating the theoretical and organizational studies to physical realizations involving networks is treated also. The question of whether the residue number system can be successfully applied to general purpose computers is still an open one. Their application to special purpose machines is considered both feasible and practical.", acknowledgement = ack-nhfb, remark = "This report represents the results of research performed by the group at The University of Michigan under the direction of Professor H. L. Garner. Concurrently, research on the same subject was being conducted at Harvard University under the direction of Professor Howard Aiken, and at the Lockheed Missile System Division under the direction of Dr. Richard Tanaka. There was a considerable exchange of information among the above groups during the course of the research effort. The efforts attained exhibit little overlap, rather they are complementary. A portion of this report was extracted from the doctoral dissertation of D. P. Rozenberg. His work was supported by this contract, and led to the Ph.D..", }bibGarner:1961:RNSH. L. Garner and R. F. Arnold and B. C. Benson and C. G. Brockus and R. J. Gonzalez and D. P. RozenbergResidue number systems for computersASD Technical Report61-483Electronic Technology Laboratory, The University of MichiganAnn Arbor, MI, USA91--103oct101961Thu Nov 18 09:27:06 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.11.18 09:27:06 ???http://deepblue.lib.umich.edu/bitstream/2027.42/5023/4/bac2784.0001.001.txtThe purpose of the research performed under this contract was to investigate the feasibility of residue number systems in their applications to digital computers. The problems of such an application are the ones of magnitude determination, sign determination, overflow, scaling, and division. These problems are not independent, but are found to be quite interrelated. A theoretical treatment of residue number systems is given which lays the foundation for a unified study of the complete problem. Treatments of an organizational nature are given which deal with multiplication, division, and scaling. The matter of correlating the theoretical and organizational studies to physical realizations involving networks is treated also. The question of whether the residue number system can be successfully applied to general purpose computers is still an open one. Their application to special purpose machines is considered both feasible and practical.This report represents the results of research performed by the group at The University of Michigan under the direction of Professor H. L. Garner. Concurrently, research on the same subject was being conducted at Harvard University under the direction of Professor Howard Aiken, and at the Lockheed Missile System Division under the direction of Dr. Richard Tanaka. There was a considerable exchange of information among the above groups during the course of the research effort. The efforts attained exhibit little overlap, rather they are complementary. A portion of this report was extracted from the doctoral dissertation of D. P. Rozenberg. His work was supported by this contract, and led to the Ph.D..ack-nhfb @TechReport{Garner:1961:RNS, author = "H. L. Garner and R. F. Arnold and B. C. Benson and C. G. Brockus and R. J. Gonzalez and D. P. Rozenberg", title = "Residue number systems for computers", type = "{ASD} Technical Report", number = "61-483", institution = "Electronic Technology Laboratory, The University of Michigan", address = "Ann Arbor, MI, USA", month = oct, year = "1961", bibdate = "Thu Nov 18 09:27:06 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://deepblue.lib.umich.edu/bitstream/2027.42/5023/4/bac2784.0001.001.txt", abstract = "The purpose of the research performed under this contract was to investigate the feasibility of residue number systems in their applications to digital computers. The problems of such an application are the ones of magnitude determination, sign determination, overflow, scaling, and division. These problems are not independent, but are found to be quite interrelated. A theoretical treatment of residue number systems is given which lays the foundation for a unified study of the complete problem. Treatments of an organizational nature are given which deal with multiplication, division, and scaling. The matter of correlating the theoretical and organizational studies to physical realizations involving networks is treated also. The question of whether the residue number system can be successfully applied to general purpose computers is still an open one. Their application to special purpose machines is considered both feasible and practical.", acknowledgement = ack-nhfb, remark = "This report represents the results of research performed by the group at The University of Michigan under the direction of Professor H. L. Garner. Concurrently, research on the same subject was being conducted at Harvard University under the direction of Professor Howard Aiken, and at the Lockheed Missile System Division under the direction of Dr. Richard Tanaka. There was a considerable exchange of information among the above groups during the course of the research effort. The efforts attained exhibit little overlap, rather they are complementary. A portion of this report was extracted from the doctoral dissertation of D. P. Rozenberg. His work was supported by this contract, and led to the Ph.D..", } "z%Q #-'AI)57=I;_qY[articlefparith.bibGarwick:1961:RAFJ. V. GarwickReply to ``On the Accuracy of Floating Point Computers'' [BIT bf 1(3), 1961, pp. 220--221]j-NORDISK-TIDSKR-INFORM-BEHAND13222--2221961BITTEL, NBITAB0006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)0006-3835 OR 00063835Mon Nov 16 14:36:22 1998http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib1998.11.16 +$S #-)]I)+57C; IqYQarticlefparith.bibG#S!#+[U51=m;#yw techreportfparith.AND, volume = "1", number = "2", pages = "87--88", month = jun, year = "1961", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01939221", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Wed Jan 4 18:52:07 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=2; http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See also comment and reply \cite{Amble:1961:AFP,Garwick:1961:RAF}.", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=2&spage=87", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point accuracy; floating-point arithmetic", }arwick:1961:AFPJan V. GarwickThe Accuracy of Floating Point Computersj-NORDISK-TIDSKR-INFORM-BEHAND1287--88jun61961BITTEL, NBITABhttp://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF019392210006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)0006-3835 OR 00063835Wed Jan 4 18:52:07 MST 2006http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=2; http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2006.01.04 18:52:07 MSTSee also comment and reply cite Amble:1961:AFP,Garwick:1961:RAF.http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=2&spage=87floating-point accuracy; floating-point arithmeticack-nhfbhttp://link.springer.com/journal/10543 @Article{Garwick:1961:AFP, author = "Jan V. Garwick", title = "The Accuracy of Floating Point Computers", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "1", number = "2", pages = "87--88", month = jun, year = "1961", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01939221", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Wed Jan 4 18:52:07 MST 2006", bibsource = "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=1&issue=2; http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See also comment and reply \cite{Amble:1961:AFP,Garwick:1961:RAF}.", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=1&issue=2&spage=87", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point accuracy; floating-point arithmetic", }Accuracy of Floating Point Computers'' [BIT {\bf 1}(3), 1961, pp. 220--221]}", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "1", number = "3", pages = "222--222", year = "1961", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Mon Nov 16 14:36:22 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Garwick:1961:AFP,Amble:1961:AFP}.", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point accuracy; floating-point arithmetic", } wQ& @Article{Koren:1981:CPN, author = "I. Koren and Y. Maliniak", title = "On Classesm[)U @Article{Kogbetliantz:1958:CANb, author = "E. G. Kogbetliantz", title = "Computat9> @Article{Kogbetliantz:1959:CSC, author = "E. G. Kogbetliantz", title = "Computatip @Article{Koko:1995:FP, author = "Boma Koko", title = "Floating Point", journal *{w @Article{Kola:1992:MQP, author = "M. Kol{\'a}r and T. Sasaki", title = "Multivari#F^= @Article{Komori:1989:FPE, author = "S. Komori and H. Takata and T. Tamura and F. Asai and /K @Article{Komori:1989:MBFb, author = "S. Komori and H. Takata and T. Tamura and F. Asai and T. Ohno and O. Tomisawa and T. Yamasaki and K. Shima and H. Nishikawa9\9 @Article{Kong:2006:IGA, author = "Fanyu Kong and Zhun Cai and Jia Yu and Daxing Li", titA+14:36:22 ???See cite Garwick:1961:AFP,Amble:1961:AFP.floating-point accuracy; floating-point arithmeticack-nhfbhttp://link.springer.com/journal/10543 @Article{Garwick:1961:RAF, author = "J. V. Garwick", title = "Reply to {``On the Accuracy of Floating Point Computers'' [BIT {\bf 1}(3), 1961, pp. 220--221]}", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "1", number = "3", pages = "222--222", year = "1961", CODEN = "BITTEL, NBITAB", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Mon Nov 16 14:36:22 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/bit.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Garwick:1961:AFP,Amble:1961:AFP}.", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point accuracy; floating-point arithmetic", }ngs of the 1961 16th ACM national meeting}", title = "Residue class error checking codes", publisher = pub-ACM, address = pub-ACM:adr, pages = "132.101--132.104", year = "1961", DOI = "http://doi.acm.org/10.1145/800029.808563", bibdate = "Thu Aug 07 19:04:58 2008", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Error checking codes based on residues have the advantage over parity-based codes of monitoring arithmetic as well as transmission operations. Codes may be devised to detect burst-type errors, to correct single errors in a binary arithmetic operation, to correct burst errors and finally to correct any single-digit error in a decimal operation.", acknowledgement = ack-nhfb, keywords = "decimal arithmetic", }dings{Henderson:1961:RCE, author = "D. S. Henderson", booktitle = "{Proceedings of the 1961 16th ACM national meeting}", title = "Residue class error checking codes", publisher = pub-ACM, address = pub-ACM:adr, pages = "132.101--132.104", year = "1961", DOI = "http://doi.acm.org/10.1145/800029.808563", bibdate = "Thu Aug 07 19:04:58 2008", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Error checking codes based on residues have the advantage over parity-based codes of monitoring arithmetic as well as transmission operations. Codes may be devised to detect burst-type errors, to correct single errors in a binary arithmetic operation, to correct burst errors and finally to correct any single-digit error in a decimal operation.", acknowledgement = ack-nhfb, keywords = "decimal arithmetic", } &O '#1+oQ#-]=m;?1inproceedingsfparith.bibHenderson:1961:RCED. S. HendersonProceedings of the 1961 16th ACM national meetingResidue class error checking codespub-ACMpub-ACM:adr132.101--132.1041961http://doi.acm.org/10.1145/800029.808563Thu Aug 07 19:04:58 2008http://www.math.utah.edu/pub/tex/bib/fparith.bib2008.08.07 19:04:58 ???Error checking codes based on residues have the advantage over parity-based codes of monitoring arithmetic as well as transmission operations. Codes may be devised to detect burst-type errors, to correct single errors in a binary arithmetic operation, to correct burst errors and finally to correct any single-digit error in a decimal operation.decimal arithmeticack-nhfb @InProceerate Analog Multiplier and Divider", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "2", pages = "269--272", month = jun, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219198", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:03 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219198", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 14:45:03 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219198IRE Transactions on Electronic Computersack-nhfb @Article{Kettel:1961:AAM, author = "E. Kettel and W. Schneider", title = "An Accurate Analog Multiplier and Divider", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "2", pages = "269--272", month = jun, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219198", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:03 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219198", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ;^;(P #)+Y57=S;=?cwarticlefparith.bibKnuth:1961:EINDonald E. KnuthErrata: ``An imaginary number system''j-CACM48355--355aug81961CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001'P#+A_;a7E;]articlefparith.bibKettel:1961:AAME. Kettel and W. SchneiderAn Accurate Analog Multiplier and Dividerj-IRE-TRANS-ELEC-COMPUTEC-102269--272jun61961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52191980367-9950 OR 03679950Thu Jul 14 14:45:03 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://nary number system''}", journal = j-CACM, volume = "4", number = "8", pages = "355--355", month = aug, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Tue Jan 09 07:10:22 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Knuth:1960:INS}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }-0782 OR 00010782Tue Jan 09 07:10:22 1996http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.01.09 07:10:22 ???See cite Knuth:1960:INS.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Knuth:1961:EIN, author = "Donald E. Knuth", title = "Errata: {``An imaginary number system''}", journal = j-CACM, volume = "4", number = "8", pages = "355--355", month = aug, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Tue Jan 09 07:10:22 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Knuth:1960:INS}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }{Hall-Effect} Analog Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "3", pages = "512--515", month = sep, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219240", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219240", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 14:45:04 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219240IRE Transactions on Electronic Computersack-nhfb @Article{Kovatch:1961:HEA, author = "G. Kovatch and W. E. Meserve", title = "The {Hall-Effect} Analog Multiplier", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "3", pages = "512--515", month = sep, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219240", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219240", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ufue*Q#+9#;a7E;]uarticlefparith.bibLehman:1961:STHM. Lehman and N. BurlaSkip Techniques for High-Speed Carry-Propagation in Binary Arithmetic Unitsj-IRE-TRANS-ELEC-COMPUTEC-104691--698dec121961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52192740367-9950 OR 03679950Thu Jul 14 14:45:04 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.b)P#-EO;a7E;]articlefparith.bibKovatch:1961:HEAG. Kovatch and W. E. MeserveThe Hall-Effect Analog Multiplierj-IRE-TRANS-ELEC-COMPUTEC-103512--515sep91961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52192400367-9950 OR 03679950Thu Jul 14 14:45:04 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; httpques for High-Speed Carry-Propagation in Binary Arithmetic Units", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "4", pages = "691--698", month = dec, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219274", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219274", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }ib2011.07.14 14:45:04 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219274IRE Transactions on Electronic Computersack-nhfb @Article{Lehman:1961:STH, author = "M. Lehman and N. Burla", title = "Skip Techniques for High-Speed Carry-Propagation in Binary Arithmetic Units", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "4", pages = "691--698", month = dec, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219274", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219274", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }hmetic in binary computers", journal = j-IRE-PROC, volume = "49", number = "??", pages = "67--91", month = jan, year = "1961", bibdate = "Sat May 18 14:34:55 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in \cite{Swartzlander:1976:CDD}.", acknowledgement = ack-nhfb, fjournal = "IRE Proceedings", } l+N #1+_!=m;]+articlefparith.bibMacSorley:1961:HSAO. L. MacSorleyHigh-speed arithmetic in binary computersj-IRE-PROC4967--91jan11961Sat May 18 14:34:55 2002http://www.math.utah.edu/pub/tex/bib/fparith.bib2002.05.18 14:34:55 ???Reprinted in cite Swartzlander:1976:CDD.IRE Proceedingsack-nhfb @Article{MacSorley:1961:HSA, author = "O. L. MacSorley", title = "High-speed arithmetic in binary computers", journal = j-IRE-PROC, volume = "49", number = "??", pages = "67--91", month = jan, year = "1961", bibdate = "Sat May 18 14:34:55 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in \cite{Swartzlander:1976:CDD}.", acknowledgement = ack-nhfb, fjournal = "IRE Proceedings", }root in the quater-imaginary number system", journal = j-CACM, volume = "4", number = "4", pages = "192--193", month = apr, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.99", MRnumber = "23\#B555", bibdate = "Fri Nov 25 18:19:32 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Knuth:1960:INS}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions", ZMreviewer = "C. B. Haselgrove", }fm?idx=J79 @Article{Nadler:1961:DSR, author = "Morton Nadler", title = "Division and square root in the quater-imaginary number system", journal = j-CACM, volume = "4", number = "4", pages = "192--193", month = apr, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.99", MRnumber = "23\#B555", bibdate = "Fri Nov 25 18:19:32 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "See \cite{Knuth:1960:INS}.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions", ZMreviewer = "C. B. Haselgrove", } ee,Q #+' 57E5;=?Mcqarticlefparith.bibNadler:1961:DSRMorton NadlerDivision and square root in the quater-imaginary number systemj-CACM44192--193apr41961CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 0001078265.9923\#B555Fri Nov 25 18:19:32 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:19:32 MSTSee cite Knuth:1960:INS.Communications of the ACM$sqrt (x)$; elementary functionsack-nhfbhttp://portal.acm.org/browse_dl.c "1223--1230", month = dec, year = "1961", CODEN = "AASTAD", ISSN = "0003-4851", bibdate = "Thu Feb 15 15:07:57 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://links.jstor.org/sici?sici=0003-4851%28196112%2932%3A4%3C1223%3AOTDOFS%3E2.0.CO%3B2-T", abstract = "It has been noticed by astute observers that well used tables of logarithms are invariably dirtier at the front than at the back. Upon reflection one is led to inquire whether there are more physical constants with low order first significant digits than high. Actual counts by Benford [2] show that not only is this the case but that it seems to be an empirical truth that whenever one has a large body of physical data, Farmer's Almanac, Census Reports, Chemical Rubber Handbook, etc., the proportion of these data with first significant digit $n$ or less is approximately $ \log_{10}(n + 1) $. Any reader formerly unaware of this ``peculiarity'' will find an actual sampling experiment wondrously tantalizing. Thus, for example, approximately $ 0.7 $ of the physical constants in the Chemical Rubber Handbook begin with $4$ or less ($ \log_{10}(4 + 1) = 0.699 $ ). This is to be contrasted with the widespread intuitive evaluation $ 4 / 9 $ ths.", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematical Statistics", keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law", remark = "From p. 1223: ``\ldots{} the proportion of these data with first significant digit $n$ or less is approximately $ \log_{10}(n + 1) $.''\par \ldots{} ``The only distribution for first significant digits which is invariant under scale change of the underlying distribution is $ \log_{10}(n + 1) $. Contrary to suspicion this is a non-trivial mathematical result, for the variable $n$ is discrete.''.\par From p. 1230: ``The foregoing results bear on questions of round-off in computing machines. Since $ d(u v) = u d v + v d u $, the error resulting from multiplying two rounded numbers will be governed primarily by the first significant digits of the two numbers being multiplied. Now the distribution of first significant digits, favoring as it does low order digits, tends to produce less error than would be the case if first significant digits were uniform as has sometimes been assumed.''\par Cited in \cite{Sterbenz:1974:FPC}.", } rL&vm @Article{Sammut:1995:AUD, author = "K. M. Sammut and S. R. JonesfMfM @Article{Rudeanu:m[ @Article{Ruckdeschel:1978:FA, author = "F. Ruckdeschel", title = "Functional ApprfM @Article{Rudeanu:1976:SRF, author = "S. Rudeanu", title = "Square Roots and Funct Y3 @Article{Rudra:2001:ERE, author = "A. Rudra and P. K. Dubey and C. S. Jutla and V. Kumar 6݆$I @Article{Ruess:1999:MVS, author = "Harald Ruess and Natarajan Shankar and Mandayam K. 20a @Article{Rugina:1999:APD, author = "Radu Rugina and Martin Rinard", title = "Auto2gO @Article{Rugina:2001:RUD, author = "Radu Rugina and Martin Rinard", title = "Recu67 @Article{Rump:1982:CR, author = "S. M. Rump", title = "{Computer und RechengenauiO @Article{Rump:1986:SER, author = "S. M. Rump", title = "{Sichere Ergebnisse auf Rflection one is led to inquire whether there are more physical constants with low order first significant digits than high. Actual counts by Benford [2] show that not only is this the case but that it seems to be an empirical truth that whenever one has a large body of physical data, Farmer's Almanac, Census Reports, Chemical Rubber Handbook, etc., the proportion of these data with first significant digit $n$ or less is approximately $ log _10(n + 1) $. Any reader formerly unaware of this ``peculiarity'' will find an actual sampling experiment wondrously tantalizing. Thus, for example, approximately $ 0.7 $ of the physical constants in the Chemical Rubber Handbook begin with $4$ or less ($ log _10(4 + 1) = 0.699 $ ). This is to be contrasted with the widespread intuitive evaluation $ 4 / 9 $ ths.Annals of Mathematical StatisticsBenford's Law; Law of Anomalous Numbers; Zipf's LawFrom p. 1223: ``ldots the proportion of these data with first significant digit $n$ or less is approximately $ log _10(n + 1) $.''par ldots ``The only distribution for first significant digits which is invariant under scale change of the underlying distribution is $ log _10(n + 1) $. Contrary to suspicion this is a non-trivial mathematical result, for the variable $n$ is discrete.''.par From p. 1230: ``The foregoing results bear on questions of round-off in computing machines. Since $ d(u v) = u d v + v d u $, the error resulting from multiplying two rounded numbers will be governed primarily by the first significant digits of the two numbers being multiplied. Now the distribution of first significant digits, favoring as it does low order digits, tends to produce less error than would be the case if first significant digits were uniform as has sometimes been assumed.''par Cited in cite Sterbenz:1974:FPC.ack-nhfb @Article{Pinkham:1961:DFS, author = "Roger S. Pinkham", title = "On the Distribution of First Significant Digits", journal = j-ANN-MATH-STAT, volume = "32", number = "4", pages = "1223--1230", month = dec, year = "1961", CODEN = "AASTAD", ISSN = "0003-4851", bibdate = "Thu Feb 15 15:07:57 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://links.jstor.org/sici?sici=0003-4851%28196112%2932%3A4%3C1223%3AOTDOFS%3E2.0.CO%3B2-T", abstract = "It has been noticed by astute observers that well used tables of logarithms are invariably dirtier at the front than at the back. Upon reflection one is led to inquire whether there are more physical constants with low order first significant digits than high. Actual counts by Benford [2] show that not only is this the case but that it seems to be an empirical truth that whenever one has a large body of physical data, Farmer's Almanac, Census Reports, Chemical Rubber Handbook, etc., the proporti on of these data with first significant digit $n$ or less is approximately $ \log_{10}(n + 1) $. Any reader formerly unaware of this ``peculiarity'' will find an actual sampling experiment wondrously tantalizing. Thus, for example, approximately $ 0.7 $ of the physical constants in the Chemical Rubber Handbook begin with $4$ or less ($ \log_{10}(4 + 1) = 0.699 $ ). This is to be contrasted with the widespread intuitive evaluation $ 4 / 9 $ ths.", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematical Statistics", keywords = "Benford's Law; Law of Anomalous Numbers; Zipf's Law", remark = "From p. 1223: ``\ldots{} the proportion of these data with first significant digit $n$ or less is approximately $ \log_{10}(n + 1) $.''\par \ldots{} ``The only distribution for first significant digits which is invariant under scale change of the underlying distribution is $ \log_{10}(n + 1) $. Contrary to suspicion this is a non-trivial mathematical result, for the variable $n$ is discrete.''.\par From p. 1230: ``The foregoing results bear on questions of round-off in computing machines. Since $ d(u v) = u d v + v d u $, the error resulting from multiplying two rounded numbers will be governed primarily by the first significant digits of the two numbers being multiplied. Now the distribution of first significant digits, favoring as it does low order digits, tends to produce less error than would be the case if first significant digits were uniform as has sometimes been assumed.''\par Cited in \cite{Sterbenz:1974:FPC}.", } SS>.O #3'C57=m;?cuarticlefparith.bibRabino"-Q #--k+!7=m;CmOs75articlefparith.bibPinkham:1961:DFSRoger S. PinkhamOn the Distribution of First Significant Digitsj-ANN-MATH-STAT3241223--1230dec121961AASTAD0003-4851 OR 00034851Thu Feb 15 15:07:57 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.02.15 15:07:57 ???http://links.jstor.org/sici?sici=0003-4851%28196112%2932%3A4%3C1223%3AOTDOFS%3E2.0.CO%3B2-TIt has been noticed by astute observers that well used tables of logarithms are invariably dirtier at the front than at the back. Upon reon Division", journal = j-CACM, volume = "4", number = "2", pages = "98--98", month = feb, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 00:29:25 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }witz:1961:MPDP. RabinowitzMultiple-Precision Divisionj-CACM4298--98feb21961CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 08 00:29:25 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.08 00:29:25 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Rabinowitz:1961:MPD, author = "P. Rabinowitz", title = "Multiple-Precision Division", journal = j-CACM, volume = "4", number = "2", pages = "98--98", month = feb, year = "1961", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 00:29:25 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } Time for Synchronous Binary Division", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "2", pages = "169--174", month = jun, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219186", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:03 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219186", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }b/tex/bib/ieeetranscomput.bib2011.07.14 14:45:03 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219186IRE Transactions on Electronic Computersack-nhfb @Article{Saltman:1961:RCT, author = "Roy G. Saltman", title = "Reducing Computing Time for Synchronous Binary Division", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "2", pages = "169--174", month = jun, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219186", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:03 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219186", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } HR0Q #1)'57Ek;A=M articlefparith.bibSpielberg:1961:ECFKurt SpielbergEfficient Continued Fraction Approximations To Elementary Functionsj-MATH-COMPUT1576409--417oct101961MCMPAF0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)0025-5718 OR 002557,/P #-){;a7E;]?articlefparith.bibSaltman:1961:RCTRoy G. SaltmanReducing Computing Time for Synchronous Binary Divisionj-IRE-TRANS-ELEC-COMPUTEC-102169--174jun61961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52191860367-9950 OR 03679950Thu Jul 14 14:45:03 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/puued Fraction Approximations To Elementary Functions", journal = j-MATH-COMPUT, volume = "15", number = "76", pages = "409--417", month = oct, year = "1961", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nj # " and " # ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }18Tue Oct 13 08:06:19 MDT 1998ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database1998.10.13 08:06:19 MDTMathematics of Computationack-njhttp://www.ams.org/mcom/ @Article{Spielberg:1961:ECF, author = "Kurt Spielberg", title = "Efficient Continued Fraction Approximations To Elementary Functions", journal = j-MATH-COMPUT, volume = "15", number = "76", pages = "409--417", month = oct, year = "1961", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nj # " and " # ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }Power Series in Terms of Polynomials, Rational Approximations and Continued Fractions", journal = j-J-ACM, volume = "8", number = "4", pages = "613--627", month = oct, year = "1961", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Sat Dec 09 14:01:44 1995", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }1 OR 00045411Sat Dec 09 14:01:44 1995ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.09 14:01:44 ???Journal of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Spielberg:1961:RPS, author = "K. Spielberg", title = "Representation of Power Series in Terms of Polynomials, Rational Approximations and Continued Fractions", journal = j-J-ACM, volume = "8", number = "4", pages = "613--627", month = oct, year = "1961", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Sat Dec 09 14:01:44 1995", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } a1Q #1%[57=K;1eGarticlefparith.bibSpielberg:1961:RPSK. SpielbergRepresentation of Power Series in Terms of Polynomials, Rational Approximations and Continued Fractionsj-J-ACM84613--627oct101961JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-541d Works", publisher = pub-PERGAMON, address = pub-PERGAMON:adr, pages = "??? (vol. 1), 568 (vol. 2), 574 (vol. 3), 516 (vol. 4), ??? (vol. 5), ??? (vol. 6)", year = "1961--1963", LCCN = "????", bibdate = "Wed Jun 01 16:58:29 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Six volumes. Volume I: Logic, Theory of Sets and Quantum Mechanics (1961); Volume II: Operators, Ergodic Theory and Almost Periodic Functions in a Group (1961); Volume III: Rings of Operators (1961); Volume IV: Continuous Geometry and Other Topics (1962); Volume V: Design of Computers, Theory of Automata and Numerical Analysis (1963); Volume VI: Theory of Games, Astrophysics, Hydrodynamics and Meteorology (1963).", acknowledgement = ack-nhfb, } "A. H. Taub", title = "{John von Neumann}: Collected Works", publisher = pub-PERGAMON, address = pub-PERGAMON:adr, pages = "??? (vol. 1), 568 (vol. 2), 574 (vol. 3), 516 (vol. 4), ??? (vol. 5), ??? (vol. 6)", year = "1961--1963", LCCN = "????", bibdate = "Wed Jun 01 16:58:29 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Six volumes. Volume I: Logic, Theory of Sets and Quantum Mechanics (1961); Volume II: Operators, Ergodic Theory and Almost Periodic Functions in a Group (1961); Volume III: Rings of Operators (1961); Volume IV: Continuous Geometry and Other Topics (1962); Volume V: Design of Computers, Theory of Automata and Numerical Analysis (1963); Volume VI: Theory of Games, Astrophysics, Hydrodynamics and Meteorology (1963).", acknowledgement = ack-nhfb, } 52P #'!O%-1%=m;MEbookfparith.bibTaub:1961:JNCA. H. TaubJohn von Neumann: Collected Workspub-PERGAMONpub-PERGAMON:adr??? (vol. 1), 568 (vol. 2), 574 (vol. 3), 516 (vol. 4), ??? (vol. 5), ??? (vol. 6)1961 -- 1963Wed Jun 01 16:58:29 2005http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.06.01 16:58:29 ???Six volumes. Volume I: Logic, Theory of Sets and Quantum Mechanics (1961); Volume II: Operators, Ergodic Theory and Almost Periodic Functions in a Group (1961); Volume III: Rings of Operators (1961); Volume IV: Continuous Geometry and Other Topics (1962); Volume V: Design of Computers, Theory of Automata and Numerical Analysis (1963); Volume VI: Theory of Games, Astrophysics, Hydrodynamics and Meteorology (1963).ack-nhfb @Book{Taub:1961:JNC, editor =Square Root Expansions for the Inverse Cosine and Inverse Hyperbolic Cosine", journal = j-MATH-COMPUT, volume = "15", number = "76", pages = "399--403", month = oct, year = "1961", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }F0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)0025-5718 OR 00255718Tue Oct 13 08:06:19 MDT 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database1998.10.13 08:06:19 MDTMathematics of Computationack-nhfbhttp://www.ams.org/mcom/ @Article{Thacher:1961:ISR, author = "Henry C. {Thacher, Jr.}", title = "Iterated Square Root Expansions for the Inverse Cosine and Inverse Hyperbolic Cosine", journal = j-MATH-COMPUT, volume = "15", number = "76", pages = "399--403", month = oct, year = "1961", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } 3Q #-75'57E ;A=Warticlefparith.bibThacher:1961:ISRHenry C. Thacher, Jr.Iterated Square Root Expansions for the Inverse Cosine and Inverse Hyperbolic Cosinej-MATH-COMPUT1576399--403oct101961MCMPADomestic Electronic Digital Computing Systems", type = "Report", number = "1115", institution = "Ballistic Research Laboratories", address = "Aberdeen Proving Ground, MD, USA", pages = "1131", month = mar, year = "1961", bibdate = "Fri Nov 28 19:37:51 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Based on the results of a third survey, the engineering and programming characteristics of two hundred twenty-two different electronic digital computing systems are given. The data are presented from the point of view of application, numerical and arithmetic characteristics, input, output and storage systems, construction and checking features, power, space, weight, and site preparation and personnel requirements, production records, cost and rental rates, sale and lease policy, reliability, operating experience, and time availability, engineering modifications and improvements and other related topics. An analysis of the survey data, fifteen comparative tables, a discussion of trends, a revised bibliography, and a complete glossary of computer engineering and programming terminology are included.", acknowledgement = ack-mfc # " and " # ack-nhfb, } production records, cost and rental rates, sale and lease policy, reliability, operating experience, and time availability, engineering modifications and improvements and other related topics. An analysis of the survey data, fifteen comparative tables, a discussion of trends, a revised bibliography, and a complete glossary of computer engineering and programming terminology are included.ack-mfc @TechReport{Weik:1961:TSD, author = "Martin H. Weik", title = "A Third Survey of Domestic Electronic Digital Computing Systems", type = "Report", number = "1115", institution = "Ballistic Research Laboratories", address = "Aberdeen Proving Ground, MD, USA", pages = "1131", month = mar, year = "1961", bibdate = "Fri Nov 28 19:37:51 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Based on the results of a third survey, the engineering and programming characteristics of two hundred twenty-two different electronic digital computing systems are given. The data are presented from the point of view of application, numerical and arithmetic characteristics, input, output and storage systems, construction and checking features, power, space, weight, and site preparation and personnel requirements, production records, cost and rental rates, sale and lease policy, reliability, operating experience, and time availability, engineering modifications and improvements and other related topics. An analysis of the survey data, fifteen comparative tables, a discussion of trends, a revised bibliography, and a complete glossary of computer engineering and programming terminology are included.", acknowledgement = ack-mfc # " and " # ack-nhfb, } 4P !#')KM=m;]atechreportfparith.bibWeik:1961:TSDMartin H. WeikA Third Survey of Domestic Electronic Digital Computing SystemsReport1115Ballistic Research LaboratoriesAberdeen Proving Ground, MD, USA1131mar31961Fri Nov 28 19:37:51 2003http://www.math.utah.edu/pub/tex/bib/fparith.bib2003.11.28 19:37:51 ???Based on the results of a third survey, the engineering and programming characteristics of two hundred twenty-two different electronic digital computing systems are given. The data are presented from the point of view of application, numerical and arithmetic characteristics, input, output and storage systems, construction and checking features, power, space, weight, and site preparation and personnel requirements,lgorithm for Rapid Binary Division", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "4", pages = "662--670", month = dec, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219271", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219271", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 14:45:04 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219271IRE Transactions on Electronic Computersack-nhfb @Article{Wilson:1961:ARB, author = "J. B. Wilson and R. S. Ledley", title = "An Algorithm for Rapid Binary Division", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-10", number = "4", pages = "662--670", month = dec, year = "1961", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1961.5219271", ISSN = "0367-9950", bibdate = "Thu Jul 14 14:45:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219271", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ]]5P#+GY;a7E;] articlefparith.bibWilson:1961:ARBJ. B. Wilson and R. S. LedleyAn Algorithm for Rapid Binary Divisionj-IRE-TRANS-ELEC-COMPUTEC-104662--670dec121961IRELAOhttp://dx.doi.org/10.1109/TEC.1961.52192710367-9950 OR 03679950Thu Jul 14 14:45:04 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://!niac III} Arithmetic System", crossref = "AFIPS:1962:APS", pages = "192--202", year = "1962", bibdate = "Wed Feb 14 17:14:21 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } ff6N '#3-M)=m;cinproceedingsfparith.bibAshenhurst:1962:MIAR. L. AshenhurstThe Maniac III Arithmetic SystemAFIPS:1962:APS192--2021962Wed Feb 14 17:14:21 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.02.14 17:14:21 ???ack-nhfb @InProceedings{Ashenhurst:1962:MIA, author = "R. L. Ashenhurst", title = "The {Maniac III} Arithmetic System", crossref = "AFIPS:1962:APS", pages = "192--202", year = "1962", bibdate = "Wed Feb 14 17:14:21 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }&r system: {Project Stretch}", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xvii + 322", year = "1962", LCCN = "1876", bibdate = "Fri Nov 19 10:02:31 MST 2010", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; library.ox.ac.uk:210/ADVANCE", note = "This important book is the primary description of the influential IBM 7030 Stretch computer, written by its architects.", URL = "http://ed-thelen.org/comp-hist/IBM-7030-Planning-McJones.pdf", acknowledgement = ack-nhfb, remark = "The text of the book is in the public domain, with the permission of the author in 2003. See \cite{MacKenzie:1991:'IAL} for a remark about the noisy mode for floating-point arithmetic in the IBM 7030 Stretch. That mode is first mentioned on page 25 of this book, and described in detail on page 102, which states: ``By definition of ordinary normalized FLP operations, numbers are frequently extended on the right by attaching zeros. During addition the n-digit operand that is not preshifted is extended with n zeros, so as to provide the extra positions to which the preshifted operand can be added. Any operand or result that is shifted left to be normalized requires a corresponding number of zeros to be shifted in at the right. Both sets of zeros tend to produce numbers smaller in absolute value than they would have been if more digits had been carried. In the noisy mode( these numbers are simply extended with 1 s instead of zeros (1 s in a binary machine, 9s in a decimal machine). Sow all numbers tend to be too large in absolute value. The true value, if there had been no significance loss, should lie between these two extremes. Hence, two runs, one made without and one made with the noisy mode, should show differences in result that indicate which digits may have been affected by significance loss. The principal weakness of the noisy-mode procedure is that it requires two runs for the same problem. A much less important weakness is that the loss of significance cannot be guaranteed to show up-it merely has a very high probability of showing up-whereas built-in significance checks can be made slightly pessimistic, so th)at actual significance loss will not be greater than indicated. On the other hand, little extra hardware and no extra storage are required for the noisy-mode approach. Furthermore, significance loss is relatively rare, so that running a problem twice when Significance loss is suspected does not pose a serious problem. What is serious is the possibility of unsuspected significance loss. In discussions of significance two points are often overlooked. The first of these is trivial: the best way of ensuring significant results is to use an adequate number of fraction digits. The second is almost equally mundane: for a given procedure, normalized FLP arithmetic will ordinarily produce the greatest precision possible for the number of fraction digits used. Nor*malized FLP arithmetic has been criticized with respect to significance loss, because such loss is not indicated by the creation of leading zeros, as it is with fixed-point arithmetic. In other words, the contention is not that normalized FLP arithmetic is more prone to significance loss than equivalent fixed-point arithmetic, which would be untrue, but that an equivalent indication of such loss is not provided. Loss of significance, however, is also a serious problem in fixed-point arithmetic; multiplication and division do not handle it at all correctly by means of leading zeros. (In particular, fixed-point multiplication may lead to serious or even total significance loss, which would not have occurred with normalized FLP arithmetic: and although leading zeros + in addition and subtraction of fixed-point operands do give correct significance indications, the use of other operations and of built-in waling loops frequently destroys entirely the leading-zeros method of counting significance.)''", subject = "Computer architecture", tableofcontents = "Foreword v \\ Preface vii \\ 1. Project Stretch 1 \\ [by W. Buchholz] \\ 2. Architectural Philosophy 5 \\ [by F. P. Brooks, Jr.] \\ 2.1. The Two Objectives of Project Stretch 5 \\ 2.2. Resources 6 \\ 2.3. Guiding Principles 7 \\ 2.4. Contemporary Trends in Computer Architecture 10 \\ 2.5. Hindsight 15 \\ 3. System Summary of IBM 7030 17 \\ [by W. Buchholz] \\ 3.1. System Organization 17 \\ , 3.2. Memory Units 17 \\ 3.3. Index Memory 19 \\ 3.4. Special Registers 19 \\ 3.5. Input and Output Facilities 19 \\ 3.6. High-speed Disk Units 20 \\ 3.7. Central Processing Unit 20 \\ 3.8. Instruction Controls 21 \\ 3.9. Index-arithmetic Unit 21 \\ 3.10. Instruction Look-ahead 21 \\ 3.11. Arithmetic Unit 22 \\ 3.12. Instruction Set 24 \\ 3.13. Data Arithmetic 24 \\ 3.14. Radix-conversion Operations 27 \\ 3.15. Connective Operations 27 \\ 3.16. Index-arithmetic Operations 27 \\ 3.17. Branching Operations 28 \\ 3.18. Transmission Operations 28 \\ 3.19. Input-Output Operations 29 \\ 3.20. New Features 29 \\ 3.21. Performance 32 \\ 4. Natural Data Units 33 \\ - [by G. P. Blaauw, F. P. Brooks, Jr., and W. Buchholz] \\ 4.1. Lengths and Structures of Natural Data Units 33 \\ 4.2. Procedures for Specifying Natural Data Units 36 \\ 4.3. Data Hierarchies 39 \\ 4.4. Classes of Operations 40 \\ 5. Choosing a Number Base 42 \\ [by W. Buchholz] \\ 5.1. Introduction 42 \\ 5.2. Information Content 45 \\ 5.3. Arithmetic Speed 49 \\ 5.4. Numerical Data 50 \\ 5.5. Nonnumerical Data 51 \\ 5.6. Addresses 52 \\ 5.7. Transformation 53 \\ 5.8. Partitioning of Memory 54 \\ 5.9. Program Interpretation 56 \\ 5.10. Other Number Bases 58 \\ 5.11. Conclusion 58 \\ 6. Character Set 60 \\ [by R. W. Bemer and W. Buchho.lz] \\ 6.1. Introduction 60 \\ 6.2. Size of Set 62 \\ 6.3. Subsets 62 \\ 6.4. Expansion of Set 63 \\ 6.5. Code 63 \\ 6.6. Parity Bit 66 \\ 6.7. Sequence 66 \\ 6.8. Blank 67 \\ 6.9. Decimal Digits 68 \\ 6.10. Typewriter Keyboard 68 \\ 6.11. Adjacency 69 \\ 6.12. Uniqueness 69 \\ 6.13. Signs 70 \\ 6.14. Tape-recording Convention 71 \\ 6.15. Card-punching Convention 71 \\ 6.16. List of 7030 Character Set 72 \\ 7. Variable-field-length Operation 75 \\ [by G. P. Blaauw, F. P. Brooks, Jr., and W. Buchholz] \\ 7.1. Introduction 75 \\ 7.2. Addressing of Variable-field-length Data 76 \\ 7.3. Field Length 77 \\ 7.4. Byte Size 78 \\/ 7.5. Universal Accumulator 79 \\ 7.6. Accumulator Operand 79 \\ 7.7. Binary and Decimal Arithmetic 80 \\ 7.8. Integer Arithmetic 81 \\ 7.9. Numerical Signs 82 \\ 7.10. Indicators 84 \\ 7.11. Arithmetical Operations 85 \\ 7.12. Radix-conversion Operation 87 \\ 7.13. Logical Connectives of Two Variables 87 \\ 7.14. Connective Operations 89 \\ 8. Floating-point Operation 92 \\ [by S. G. Campbell] \\ General Discussion \\ 8.1. Problems of Fixed-point Arithmetic 92 \\ 8.2. Floating-point Arithmetic 94 \\ 8.3. Normalization 97 \\ 8.4. Floating-point Singularities 98 \\ 8.5. Range and Precision 99 \\ 8.6. Round-off Error 100 \\ 8.7. Significance Checks 101 \\ 80.8. Forms of Floating-point Arithmetic 103 \\ 8.9. Structure of Floating-point Data 104 \\ Floating-point Features of the 7030 \\ 8.10. Floating-point Instruction Format 106 \\ 8.11. Floating-point Data Formats 106 \\ 8.12. Singular Floating-point Numbers 108 \\ 8.13. Indicators 112 \\ 8.14. Universal Accumulator 113 \\ 8.15. Fraction Arithmetic 114 \\ 8.16. Floating-point-arithmetic Operations 114 \\ 8.17. Fixed-point Arithmetic Using Unnormalized \\ Floating-point Operations 118 \\ 8.18. Special Functions and Forms of Arithmetic 119 \\ 8.19. Multiple-precision Arithmetic 119 \\ 8.20. General Remarks 121 \\ 9. Instruction Formats 122 \\ [by W. Buchholz] \\ 9.1. Introduction 122 \\ 9.2. Earlier Instructio1n Languages 122 \\ 9.3. Evolution of the Single-address Instruction 124 \\ 9.4. Implied Addresses 125 \\ 9.5. Basic 7030 Instruction Formats 126 \\ 9.6. Instruction Efficiency 127 \\ 9.7. The Simplicity of Complexity 131 \\ 9.8. Relationship to Automatic Programming Languages 132 \\ 10. Instruction Sequencing 133 \\ [by F. P. Brooks, Jr.] \\ 10.1. Modes of Instruction Sequencing 133 \\ 10.2. Instruction Counter 134 \\ 10.3. Unconditional Branching 135 \\ 10.4. Conditional Branching 136 \\ 10.5. Program-interrupt System 136 \\ 10.6. Components of the Program-interrupt System 137 \\ 10.7. Examples of Program-interrupt Techniques 140 \\ 10.8. Execute Instructions 146 \\ 10.92. Execute Operations in the 7030 148 \\ 11. Indexing 150 \\ [by G. P. Blaauw] \\ 11.1. Introduction 150 \\ 11.2. Indexing Functions 151 \\ 11.3. Instruction Format for Indexing 155 \\ 11.4. Incrementing 157 \\ 11.5. Counting 159 \\ 11.6. Advancing by One 161 \\ 11.7. Progressive Indexing 161 \\ 11.8. Data Transmission 162 \\ 11.9. Data Ordering 163 \\ 11.10. Refilling 165 \\ 11.11. Indirect Addressing and Indirect Indexing 167 \\ 11.12. Indexing Applications 169 \\ 11.13. Record-handling Applications 172 \\ 11.14. File Maintenance 175 \\ 11.15. Subroutine Control 177 \\ 11.16. Conclusion 178 \\ 12. Input-Output Control 179 \\ [by W. Buchholz] \\ 3 12.1. A Generalized Approach to Connecting \\ Input-Output and External Storage 179 \\ 12.2. Input-Output Instructions 180 \\ 12.3. Defining the Memory Area 181 \\ 12.4. Writing and Reading 182 \\ 12.5. Controlling and Locating 183 \\ 12.6. An Alternative Approach 184 \\ 12.7. Program Interruptions 184 \\ 12.8. Buffering 180 \\ 12.9. Interface 188 \\ 12.10. Operator Control of Input-Output Units 190 \\ 13. Multiprogramming 192 \\ [by E. F. Codd, E. S. Lowry, E. McDonough, and C. A. Scalzi] \\ 13.1. Introduction 192 \\ 13.2. Multiprogramming Requirements 193 \\ 13.3. 7030 Features that Assist Multiprogramming 195 \\ 13.4. Programmed Logic 197 \\ 13.5. Concluding Remarks 200 \\ 4 13.6. References 201 \\ 14. The Central Processing Unit 202 \\ [by E. Bloch] \\ 14.1. Concurrent System Operation 202 \\ 14.2. Concurrency within the Central Processing Unit 204 \\ 14.3. Data Flow 204 \\ 14.4. Arithmetic Unit 208 \\ 14.5. Checking 216 \\ 14.6. Component Count 216 \\ 14.7. Performance 217 \\ 14.8. Circuits 218 \\ 14.9. Packaging 223 \\ 15. The Look-ahead Unit 228 \\ [by R. S. Balance, J. Cocke, and H. G. Kolsky] \\ 15.1. General Description 228 \\ 15.2. Timing-simulation Program 230 \\ 15.3. Description of the Look-ahead Unit 238 \\ 15.4. Forwarding 240 \\ 15.5. Counter Sequences 241 \\ 15.6. Recovery after Interrupt 246 \\ 155.7. A Look-back at the Look-ahead 247 \\ 16. The Exchange 248 \\ [by W. Buchholz] \\ 16.1. General Description 248 \\ 16.2. Starting a WRITE or READ Operation 250 \\ 16.3. Data Transfer during Writing 250 \\ 16.4. Data Transfer during Reading 251 \\ 16.5. Terminating a WRITE or READ Operation 252 \\ 16.6. Multiple Operations 252 \\ 16.7. CONTROL and LOCATE Operations 252 \\ 16.8. Interrogating the Control Word 253 \\ 16.9. Forced Termination 253 \\ 17. A Nonarithmetical System Extension 254 \\ [by S. G. Campbell, P.S. Herwitz, and J. H. Pomerene] \\ 17.1. Nonarithmetical Processing 254 \\ 17.2. The Set-up Mode 258 \\ 17.3. Byte-sequence Formation 259 \\ 17.4. Pattern Selection 260 \\ 17.56. Transformation Facilities 261 \\ 17.6. Statistical Aids 263 \\ 17.7. The BYTE-BY-BYTE Instruction 263 \\ 17.8. Monitoring for Special Conditions 264 \\ 17.9. Instruction Set 265 \\ 17.10. Collating Operations 266 \\ 17.11. Table Look-up Operations 267 \\ 17.12. Example 267 \\ Appendix A. Summary Data 273 \\ A.1. List of the Larger IBM Stored-program Computers 273 \\ A.2. Instruction Formats 275 \\ A.3. List of Registers and Special Addresses 276 \\ A.4. Summary of Operations and Modifiers 277 \\ A.5. Summary of Indicators 287 \\ Appendix B. Programming Examples 292 \\ Notation 292 \\ B.1. Polynomial Evaluation 295 \\ B.2. Cube-root Extraction 296 \\ B.3. Matrix Multiplication 298 \\ B.4. Conversion of Decimal Numbers to a \\ Floating-point Normalized Vector 299 \\ B.5. Editing a Typed Message 301 \\ B.6. Transposition of a Large Bit Matrix 303 \\ Index 305", }8s important book is the primary description of the influential IBM 7030 Stretch computer, written by its architects.http://ed-thelen.org/comp-hist/IBM-7030-Planning-McJones.pdfThe text of the book is in the public domain, with the permission of the author in 2003. See cite MacKenzie:1991:IAL for a remark about the noisy mode for floating-point arithmetic in the IBM 7030 Stretch. That mode is first mentioned on page 25 of this book, and described in detail on page 102, which states: ``By definition of ordinary normalized FLP operations, numbers are frequently extended on the right by attaching zeros. During addition the n-digit operand that is not preshifted is extended with n zeros, so as to provide the extra positions to which the preshifted operand can be added. Any operand or result that is shifted left to be normalized requires a corresponding number of zeros to be shifted in at the right. Both sets of zeros tend to produce numbers smaller in absolute value than they would have been if more digits had9 been carried. In the noisy mode these numbers are simply extended with 1 s instead of zeros (1 s in a binary machine, 9s in a decimal machine). Sow all numbers tend to be too large in absolute value. The true value, if there had been no significance loss, should lie between these two extremes. Hence, two runs, one made without and one made with the noisy mode, should show differences in result that indicate which digits may have been affected by significance loss. The principal weakness of the noisy-mode procedure is that it requires two runs for the same problem. A much less important weakness is that the loss of significance cannot be guaranteed to show up-it merely has a very high probability of showing up-whereas built-in significance checks can be made slightly pessimistic, so that actual significance loss will not be greater than indicated. On the other hand, little extra hardware and no extra storage are required for the noisy-mode approach. Furthermore, significance loss is relatively rare, so th:at running a problem twice when Significance loss is suspected does not pose a serious problem. What is serious is the possibility of unsuspected significance loss. In discussions of significance two points are often overlooked. The first of these is trivial: the best way of ensuring significant results is to use an adequate number of fraction digits. The second is almost equally mundane: for a given procedure, normalized FLP arithmetic will ordinarily produce the greatest precision possible for the number of fraction digits used. Normalized FLP arithmetic has been criticized with respect to significance loss, because such loss is not indicated by the creation of leading zeros, as it is with fixed-point arithmetic. In other words, the contention is not that normalized FLP arithmetic is more prone to significance loss than equivalent fixed-point arithmetic, which would be untrue, but that an equivalent indication of such loss is not provided. Loss of significance, however, is also a serious problem in fixe;d-point arithmetic; multiplication and division do not handle it at all correctly by means of leading zeros. (In particular, fixed-point multiplication may lead to serious or even total significance loss, which would not have occurred with normalized FLP arithmetic: and although leading zeros in addition and subtraction of fixed-point operands do give correct significance indications, the use of other operations and of built-in waling loops frequently destroys entirely the leading-zeros method of counting significance.)''Computer architectureForeword v Preface vii 1. Project Stretch 1 [by W. Buchholz] 2. Architectural Philosophy 5 [by F. P. Brooks, Jr.] 2.1. The Two Objectives of Project Stretch 5 2.2. Resources 6 2.3. Guiding Principles 7 2.4. Contemporary Trends in Computer Architecture 10 2.5. Hindsight 15 3. System Summary of IBM 7030 17 [by W. Buchholz] 3.1. System Organization 17 3.2. Memory Units 17 3.3. Index Memory 19 3.4. Special Registers 19 3.5. Input and Output Facilities 19 3.6. High-speed D thmetic 92 8.2. Floating-point Arithmetic 94 8.3. Normalization 97 8.4. Floating-point Singularities 98 8.5. Range and Precision 99 8.6. Round-off Error 100 8.7. Significance Checks 101 8.8. Forms of Floating-point Arithmetic 103 8.9. Structure of Floating-point Data 104 Floating-point Features of the 7030 8.10. Floating-point Instruction Format 106 8.11. Floating-point Data Formats 106 8.12. Singular Floating-point Numbers 108 8.13. Indicators 112 8.14. Universal Accumulator 113 8.15. Fraction Arithmetic 114 8.16. Floating-point-arithmetic Operations 114 8.17. Fixed-point Arithmetic Using Unnormalized Floating-point Operations 118 8.18. Special Functions and Forms of Arithmetic 119 8.19. Multiple-precision Arithmetic 119 8.20. General Remarks 121 9. Instruction Formats 122 [by W. Buchholz] 9.1. Introduction 122 9.2. Earlier Instruction Languages 122 9.3. Evolution of the Single-address Instruction 124 9.4. Implied Addresses 125 9.5. Basic 7030 Instruction Formats 126 9.6. Instruction Efficiency 127 9.7. ?The Simplicity of Complexity 131 9.8. Relationship to Automatic Programming Languages 132 10. Instruction Sequencing 133 [by F. P. Brooks, Jr.] 10.1. Modes of Instruction Sequencing 133 10.2. Instruction Counter 134 10.3. Unconditional Branching 135 10.4. Conditional Branching 136 10.5. Program-interrupt System 136 10.6. Components of the Program-interrupt System 137 10.7. Examples of Program-interrupt Techniques 140 10.8. Execute Instructions 146 10.9. Execute Operations in the 7030 148 11. Indexing 150 [by G. P. Blaauw] 11.1. Introduction 150 11.2. Indexing Functions 151 11.3. Instruction Format for Indexing 155 11.4. Incrementing 157 11.5. Counting 159 11.6. Advancing by One 161 11.7. Progressive Indexing 161 11.8. Data Transmission 162 11.9. Data Ordering 163 11.10. Refilling 165 11.11. Indirect Addressing and Indirect Indexing 167 11.12. Indexing Applications 169 11.13. Record-handling Applications 172 11.14. File Maintenance 175 11.15. Subroutine Control 177 11.16. Conclusion 178 12. Input-Output Co@ntrol 179 [by W. Buchholz] 12.1. A Generalized Approach to Connecting Input-Output and External Storage 179 12.2. Input-Output Instructions 180 12.3. Defining the Memory Area 181 12.4. Writing and Reading 182 12.5. Controlling and Locating 183 12.6. An Alternative Approach 184 12.7. Program Interruptions 184 12.8. Buffering 180 12.9. Interface 188 12.10. Operator Control of Input-Output Units 190 13. Multiprogramming 192 [by E. F. Codd, E. S. Lowry, E. McDonough, and C. A. Scalzi] 13.1. Introduction 192 13.2. Multiprogramming Requirements 193 13.3. 7030 Features that Assist Multiprogramming 195 13.4. Programmed Logic 197 13.5. Concluding Remarks 200 13.6. References 201 14. The Central Processing Unit 202 [by E. Bloch] 14.1. Concurrent System Operation 202 14.2. Concurrency within the Central Processing Unit 204 14.3. Data Flow 204 14.4. Arithmetic Unit 208 14.5. Checking 216 14.6. Component Count 216 14.7. Performance 217 14.8. Circuits 218 14.9. Packaging 223 15. The Look-ahead Unit 228 [by R. S. BalancAe, J. Cocke, and H. G. Kolsky] 15.1. General Description 228 15.2. Timing-simulation Program 230 15.3. Description of the Look-ahead Unit 238 15.4. Forwarding 240 15.5. Counter Sequences 241 15.6. Recovery after Interrupt 246 15.7. A Look-back at the Look-ahead 247 16. The Exchange 248 [by W. Buchholz] 16.1. General Description 248 16.2. Starting a WRITE or READ Operation 250 16.3. Data Transfer during Writing 250 16.4. Data Transfer during Reading 251 16.5. Terminating a WRITE or READ Operation 252 16.6. Multiple Operations 252 16.7. CONTROL and LOCATE Operations 252 16.8. Interrogating the Control Word 253 16.9. Forced Termination 253 17. A Nonarithmetical System Extension 254 [by S. G. Campbell, P.S. Herwitz, and J. H. Pomerene] 17.1. Nonarithmetical Processing 254 17.2. The Set-up Mode 258 17.3. Byte-sequence Formation 259 17.4. Pattern Selection 260 17.5. Transformation Facilities 261 17.6. Statistical Aids 263 17.7. The BYTE-BY-BYTE Instruction 263 17.8. Monitoring for Special Conditions 264 17.9. IBnstruction Set 265 17.10. Collating Operations 266 17.11. Table Look-up Operations 267 17.12. Example 267 Appendix A. Summary Data 273 A.1. List of the Larger IBM Stored-program Computers 273 A.2. Instruction Formats 275 A.3. List of Registers and Special Addresses 276 A.4. Summary of Operations and Modifiers 277 A.5. Summary of Indicators 287 Appendix B. Programming Examples 292 Notation 292 B.1. Polynomial Evaluation 295 B.2. Cube-root Extraction 296 B.3. Matrix Multiplication 298 B.4. Conversion of Decimal Numbers to a Floating-point Normalized Vector 299 B.5. Editing a Typed Message 301 B.6. Transposition of a Large Bit Matrix 303 Index 305ack-nhfb @Book{Buchholz:1962:PCS, editor = "Werner Buchholz", title = "Planning a computer system: {Project Stretch}", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xvii + 322", year = "1962", LCCN = "1876", bibdate = "Fri Nov 19 10:02:31 MST 2010", bibsource = "http://www.mCath.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; library.ox.ac.uk:210/ADVANCE", note = "This important book is the primary description of the influential IBM 7030 Stretch computer, written by its architects.", URL = "http://ed-thelen.org/comp-hist/IBM-7030-Planning-McJones.pdf", acknowledgement = ack-nhfb, remark = "The text of the book is in the public domain, with the permission of the author in 2003. See \cite{MacKenzie:1991:IAL} for a remark about the noisy mode for floating-point arithmetic in the IBM 7030 Stretch. That mode is first mentioned on page 25 of this book, and described in detail on page 102, which staDtes: ``By definition of ordinary normalized FLP operations, numbers are frequently extended on the right by attaching zeros. During addition the n-digit operand that is not preshifted is extended with n zeros, so as to provide the extra positions to which the preshifted operand can be added. Any operand or result that is shifted left to be normalized requires a corresponding number of zeros to be shifted in at the right. Both sets of zeros tend to produce numbers smaller in absolute value than they would have been if more digits had been carried. In the noisy mode these numbers are simply extended with 1 s instead of zeros (1 s in a binary machine, 9s in a decimal machine). Sow all numbers tend to be too large in absolute value. The true value, if there Ehad been no significance loss, should lie between these two extremes. Hence, two runs, one made without and one made with the noisy mode, should show differences in result that indicate which digits may have been affected by significance loss. The principal weakness of the noisy-mode procedure is that it requires two runs for the same problem. A much less important weakness is that the loss of significance cannot be guaranteed to show up-it merely has a very high probability of showing up-whereas built-in significance checks can be made slightly pessimistic, so that actual significance loss will not be greater than indicated. On the other hand, little extra hardware and no extra storage are required for the noisy-mode approach. Furthermore, significance loss F is relatively rare, so that running a problem twice when Significance loss is suspected does not pose a serious problem. What is serious is the possibility of unsuspected significance loss. In discussions of significance two points are often overlooked. The first of these is trivial: the best way of ensuring significant results is to use an adequate number of fraction digits. The second is almost equally mundane: for a given procedure, normalized FLP arithmetic will ordinarily produce the greatest precision possible for the number of fraction digits used. Normalized FLP arithmetic has been criticized with respect to significance loss, because such loss is not indicated by the creation of leading zeros, as it is with fixed-point arithmetic. In other words, the G contention is not that normalized FLP arithmetic is more prone to significance loss than equivalent fixed-point arithmetic, which would be untrue, but that an equivalent indication of such loss is not provided. Loss of significance, however, is also a serious problem in fixed-point arithmetic; multiplication and division do not handle it at all correctly by means of leading zeros. (In particular, fixed-point multiplication may lead to serious or even total significance loss, which would not have occurred with normalized FLP arithmetic: and although leading zeros in addition and subtraction of fixed-point operands do give correct significance indications, the use of other operations and of built-in waling loops frequently destroys entirely the leading-zeros methHod of counting significance.)''", subject = "Computer architecture", tableofcontents = "Foreword v \\ Preface vii \\ 1. Project Stretch 1 \\ [by W. Buchholz] \\ 2. Architectural Philosophy 5 \\ [by F. P. Brooks, Jr.] \\ 2.1. The Two Objectives of Project Stretch 5 \\ 2.2. Resources 6 \\ 2.3. Guiding Principles 7 \\ 2.4. Contemporary Trends in Computer Architecture 10 \\ 2.5. Hindsight 15 \\ 3. System Summary of IBM 7030 17 \\ [by W. Buchholz] \\ 3.1. System Organization 17 \\ 3.2. Memory Units 17 \\ 3.3. Index Memory 19 \\ 3.4. Special Registers 19 \\ 3.5. Input and Output Facilities 19 \\ 3.6. High-speed Disk Units 20 \\ 3.7. Central Processing IUnit 20 \\ 3.8. Instruction Controls 21 \\ 3.9. Index-arithmetic Unit 21 \\ 3.10. Instruction Look-ahead 21 \\ 3.11. Arithmetic Unit 22 \\ 3.12. Instruction Set 24 \\ 3.13. Data Arithmetic 24 \\ 3.14. Radix-conversion Operations 27 \\ 3.15. Connective Operations 27 \\ 3.16. Index-arithmetic Operations 27 \\ 3.17. Branching Operations 28 \\ 3.18. Transmission Operations 28 \\ 3.19. Input-Output Operations 29 \\ 3.20. New Features 29 \\ 3.21. Performance 32 \\ 4. Natural Data Units 33 \\ [by G. P. Blaauw, F. P. Brooks, Jr., and W. Buchholz] \\ 4.1. Lengths and Structures of Natural Data Units 33 \\ 4.2. Procedures for Specifying Natural Data Units 36 \\ J 4.3. Data Hierarchies 39 \\ 4.4. Classes of Operations 40 \\ 5. Choosing a Number Base 42 \\ [by W. Buchholz] \\ 5.1. Introduction 42 \\ 5.2. Information Content 45 \\ 5.3. Arithmetic Speed 49 \\ 5.4. Numerical Data 50 \\ 5.5. Nonnumerical Data 51 \\ 5.6. Addresses 52 \\ 5.7. Transformation 53 \\ 5.8. Partitioning of Memory 54 \\ 5.9. Program Interpretation 56 \\ 5.10. Other Number Bases 58 \\ 5.11. Conclusion 58 \\ 6. Character Set 60 \\ [by R. W. Bemer and W. Buchholz] \\ 6.1. Introduction 60 \\ 6.2. Size of Set 62 \\ 6.3. Subsets 62 \\ 6.4. Expansion of Set 63 \\ 6.5. Code 63 \\ 6.6. Parity Bit 66 \\ 6.7.K Sequence 66 \\ 6.8. Blank 67 \\ 6.9. Decimal Digits 68 \\ 6.10. Typewriter Keyboard 68 \\ 6.11. Adjacency 69 \\ 6.12. Uniqueness 69 \\ 6.13. Signs 70 \\ 6.14. Tape-recording Convention 71 \\ 6.15. Card-punching Convention 71 \\ 6.16. List of 7030 Character Set 72 \\ 7. Variable-field-length Operation 75 \\ [by G. P. Blaauw, F. P. Brooks, Jr., and W. Buchholz] \\ 7.1. Introduction 75 \\ 7.2. Addressing of Variable-field-length Data 76 \\ 7.3. Field Length 77 \\ 7.4. Byte Size 78 \\ 7.5. Universal Accumulator 79 \\ 7.6. Accumulator Operand 79 \\ 7.7. Binary and Decimal Arithmetic 80 \\ 7.8. Integer Arithmetic 81 \\ 7.9. Numerical Signs 82 \\ L 7.10. Indicators 84 \\ 7.11. Arithmetical Operations 85 \\ 7.12. Radix-conversion Operation 87 \\ 7.13. Logical Connectives of Two Variables 87 \\ 7.14. Connective Operations 89 \\ 8. Floating-point Operation 92 \\ [by S. G. Campbell] \\ General Discussion \\ 8.1. Problems of Fixed-point Arithmetic 92 \\ 8.2. Floating-point Arithmetic 94 \\ 8.3. Normalization 97 \\ 8.4. Floating-point Singularities 98 \\ 8.5. Range and Precision 99 \\ 8.6. Round-off Error 100 \\ 8.7. Significance Checks 101 \\ 8.8. Forms of Floating-point Arithmetic 103 \\ 8.9. Structure of Floating-point Data 104 \\ Floating-point Features of the 7030 \\ 8.10. Floating-point Instruction Format 106 \\ 8.11. Floating-poMint Data Formats 106 \\ 8.12. Singular Floating-point Numbers 108 \\ 8.13. Indicators 112 \\ 8.14. Universal Accumulator 113 \\ 8.15. Fraction Arithmetic 114 \\ 8.16. Floating-point-arithmetic Operations 114 \\ 8.17. Fixed-point Arithmetic Using Unnormalized \\ Floating-point Operations 118 \\ 8.18. Special Functions and Forms of Arithmetic 119 \\ 8.19. Multiple-precision Arithmetic 119 \\ 8.20. General Remarks 121 \\ 9. Instruction Formats 122 \\ [by W. Buchholz] \\ 9.1. Introduction 122 \\ 9.2. Earlier Instruction Languages 122 \\ 9.3. Evolution of the Single-address Instruction 124 \\ 9.4. Implied Addresses 125 \\ 9.5. Basic 7030 Instruction Formats 126 \\ 9.6. Instruction Efficiency 1N27 \\ 9.7. The Simplicity of Complexity 131 \\ 9.8. Relationship to Automatic Programming Languages 132 \\ 10. Instruction Sequencing 133 \\ [by F. P. Brooks, Jr.] \\ 10.1. Modes of Instruction Sequencing 133 \\ 10.2. Instruction Counter 134 \\ 10.3. Unconditional Branching 135 \\ 10.4. Conditional Branching 136 \\ 10.5. Program-interrupt System 136 \\ 10.6. Components of the Program-interrupt System 137 \\ 10.7. Examples of Program-interrupt Techniques 140 \\ 10.8. Execute Instructions 146 \\ 10.9. Execute Operations in the 7030 148 \\ 11. Indexing 150 \\ [by G. P. Blaauw] \\ 11.1. Introduction 150 \\ 11.2. Indexing Functions 151 \\ 11.3. Instruction Format for Indexing O155 \\ 11.4. Incrementing 157 \\ 11.5. Counting 159 \\ 11.6. Advancing by One 161 \\ 11.7. Progressive Indexing 161 \\ 11.8. Data Transmission 162 \\ 11.9. Data Ordering 163 \\ 11.10. Refilling 165 \\ 11.11. Indirect Addressing and Indirect Indexing 167 \\ 11.12. Indexing Applications 169 \\ 11.13. Record-handling Applications 172 \\ 11.14. File Maintenance 175 \\ 11.15. Subroutine Control 177 \\ 11.16. Conclusion 178 \\ 12. Input-Output Control 179 \\ [by W. Buchholz] \\ 12.1. A Generalized Approach to Connecting \\ Input-Output and External Storage 179 \\ 12.2. Input-Output Instructions 180 \\ 12.3. Defining the Memory Area 181 \\ 12.4. Writing and ReadPing 182 \\ 12.5. Controlling and Locating 183 \\ 12.6. An Alternative Approach 184 \\ 12.7. Program Interruptions 184 \\ 12.8. Buffering 180 \\ 12.9. Interface 188 \\ 12.10. Operator Control of Input-Output Units 190 \\ 13. Multiprogramming 192 \\ [by E. F. Codd, E. S. Lowry, E. McDonough, and C. A. Scalzi] \\ 13.1. Introduction 192 \\ 13.2. Multiprogramming Requirements 193 \\ 13.3. 7030 Features that Assist Multiprogramming 195 \\ 13.4. Programmed Logic 197 \\ 13.5. Concluding Remarks 200 \\ 13.6. References 201 \\ 14. The Central Processing Unit 202 \\ [by E. Bloch] \\ 14.1. Concurrent System Operation 202 \\ 14.2. Concurrency within the Central Processing Unit Q 204 \\ 14.3. Data Flow 204 \\ 14.4. Arithmetic Unit 208 \\ 14.5. Checking 216 \\ 14.6. Component Count 216 \\ 14.7. Performance 217 \\ 14.8. Circuits 218 \\ 14.9. Packaging 223 \\ 15. The Look-ahead Unit 228 \\ [by R. S. Balance, J. Cocke, and H. G. Kolsky] \\ 15.1. General Description 228 \\ 15.2. Timing-simulation Program 230 \\ 15.3. Description of the Look-ahead Unit 238 \\ 15.4. Forwarding 240 \\ 15.5. Counter Sequences 241 \\ 15.6. Recovery after Interrupt 246 \\ 15.7. A Look-back at the Look-ahead 247 \\ 16. The Exchange 248 \\ [by W. Buchholz] \\ 16.1. General Description 248 \\ 16.2. Starting a WRITE or READ Operation 250 \\ 16.3. Data RTransfer during Writing 250 \\ 16.4. Data Transfer during Reading 251 \\ 16.5. Terminating a WRITE or READ Operation 252 \\ 16.6. Multiple Operations 252 \\ 16.7. CONTROL and LOCATE Operations 252 \\ 16.8. Interrogating the Control Word 253 \\ 16.9. Forced Termination 253 \\ 17. A Nonarithmetical System Extension 254 \\ [by S. G. Campbell, P.S. Herwitz, and J. H. Pomerene] \\ 17.1. Nonarithmetical Processing 254 \\ 17.2. The Set-up Mode 258 \\ 17.3. Byte-sequence Formation 259 \\ 17.4. Pattern Selection 260 \\ 17.5. Transformation Facilities 261 \\ 17.6. Statistical Aids 263 \\ 17.7. The BYTE-BY-BYTE Instruction 263 \\ 17.8. Monitoring for Special Conditions 264 \\ 17.9. Instruction Set 265 \\ 17.10. Collating Operations 266 \\ 17.11. Table Look-up Operations 267 \\ 17.12. Example 267 \\ Appendix A. Summary Data 273 \\ A.1. List of the Larger IBM Stored-program Computers 273 \\ A.2. Instruction Formats 275 \\ A.3. List of Registers and Special Addresses 276 \\ A.4. Summary of Operations and Modifiers 277 \\ A.5. Summary of Indicators 287 \\ Appendix B. Programming Examples 292 \\ Notation 292 \\ B.1. Polynomial Evaluation 295 \\ B.2. Cube-root Extraction 296 \\ B.3. Matrix Multiplication 298 \\ B.4. Conversion of Decimal Numbers to a \\ Floating-point Normalized Vector 299 \\ B.5. Editing a Typed Message 301 \\ B.6. Transposition of a Large Bit Matrix 303 \\ Index 305", } ww88O %#/)+c=+3%=%;Mincollectionfparith.bibU!7T #/+c+3!E{;{37%USbookfparith.bibBuchholz:1962:PCSWerner BuchholzPlanning a computer system: Project Stretchpub-MCGRAW-HILLpub-MCGRAW-HILL:adrxvii + 32219621876Fri Nov 19 10:02:31 MST 2010http://www.math.utah.edu/pub/bibnet/authors/t/tukey-john-w.bib; http://www.math.utah.edu/pub/tex/bib/annhistcomput.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ibmjrd.bib; library.ox.ac.uk:210/ADVANCE2010.11.19 10:02:31 MSTThi7olz", booktitle = "Planning a Computer System: {Project Stretch}", title = "Floating-Point Operation", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "92--121", year = "1962", LCCN = "QA76.8.I2 I5", bibdate = "Wed Feb 14 17:24:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, bookpages = "322", subject = "IBM 7030 (Computer); IBM Stretch", }Campbell:1962:FPOS. G. CampbellWerner BuchholzPlanning a Computer System: Project StretchFloating-Point Operationpub-MCGRAW-HILLpub-MCGRAW-HILL:adr92--1211962QA76.8.I2 I5Wed Feb 14 17:24:27 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2007.02.14 17:24:27 ???IBM 7030 (Computer); IBM Stretchack-nhfb322 @InCollection{Campbell:1962:FPO, author = "S. G. Campbell", editor = "Werner Buchholz", booktitle = "Planning a Computer System: {Project Stretch}", title = "Floating-Point Operation", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "92--121", year = "1962", LCCN = "QA76.8.I2 I5", bibdate = "Wed Feb 14 17:24:27 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, bookpages = "322", subject = "IBM 7030 (Computer); IBM Stretch", } "Logarithmic and Exponential Function Evaluation in a Variable Structure Digital Computer", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-11", number = "2", pages = "155--164", month = apr, year = "1962", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1962.5219348", ISSN = "0367-9950", bibdate = "Thu Jul 14 09:11:49 MDT 2011", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219348", acknowledgement = ack-nj # "\slash " # ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }lectronic Computersack-nj @Article{Cantor:1962:LEF, author = "D. Cantor and G. Estrin and R. Turn", title = "Logarithmic and Exponential Function Evaluation in a Variable Structure Digital Computer", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-11", number = "2", pages = "155--164", month = apr, year = "1962", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1962.5219348", ISSN = "0367-9950", bibdate = "Thu Jul 14 09:11:49 MDT 2011", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219348", acknowledgement = ack-nj # "\slash " # ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } ZZ9Q#+S=;a7Ey;]S articlefparith.bibCantor:1962:LEFD. Cantor and G. Estrin and R. TurnLogarithmic and Exponential Function Evaluation in a Variable Structure Digital Computerj-IRE-TRANS-ELEC-COMPUTEC-112155--164apr41962IRELAOhttp://dx.doi.org/10.1109/TEC.1962.52193480367-9950 OR 03679950Thu Jul 14 09:11:49 MDT 2011ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 09:11:49 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219348IRE Transactions on EW in first order iterative processes with floating-point computers", institution = "University of Illinois Graduate College, Digital Computer Laboratory", address = "Urbana, IL, USA", pages = "7", year = "1962", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Report / University of Illinois, Digital Computer Laboratory; no. 113 Report (University of Illinois (Urbana-Champaign campus). Digital Computer Laboratory); no. 113.", acknowledgement = ack-nhfb, keywords = "Electronic digital computers.; Numerical calculations.", remark = "Supported by: National Science Foundation under grant G16489. ``March 22, 1962.''", }n under grant G16489. ``March 22, 1962.''ack-nhfb @TechReport{Descloux:1962:REF, author = "J. Descloux", title = "Remarks on errors in first order iterative processes with floating-point computers", institution = "University of Illinois Graduate College, Digital Computer Laboratory", address = "Urbana, IL, USA", pages = "7", year = "1962", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", series = "Report / University of Illinois, Digital Computer Laboratory; no. 113 Report (University of Illinois (Urbana-Champaign campus). Digital Computer Laboratory); no. 113.", acknowledgement = ack-nhfb, keywords = "Electronic digital computers.; Numerical calculations.", remark = "Supported by: National Science Foundation under grant G16489. ``March 22, 1962.''", } dd:R !#/#1+Em;Yy/#techreportfparith.bibDescloux:1962:REFJ. DesclouxRemarks on errors in first order iterative processes with floating-point computersUniversity of Illinois Graduate College, Digital Computer LaboratoryUrbana, IL, USA71962Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTReport / University of Illinois, Digital Computer Laboratory; no. 113 Report (University of Illinois (Urbana-Champaign campus). 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Poe", title = "Threshold Realization of Arithmetic Circuits", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-11", number = "2", pages = "287--288", month = apr, year = "1962", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1962.5219366", ISSN = "0367-9950", bibdate = "Thu Jul 14 09:11:50 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219366", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", } P O #-Ii+3!E%;uMmibookfparith.bibHamming:1962:NMSR. W. (Richard Wesley) HammingNumerical methods for scientishi=Q #+-5;a7E;]{ articlefparith.bibGuffin:1962:CSLRonald M. GuffinA Computer for Solving Linear Simultaneous Equations Using the Residue Number Systemj-IRE-TRANS-ELEC-COMPUTEC-112164--173apr41962IRELAOhttp://dx.doi.org/10.1109/TEC.1962.52193490367-9950 OR 03679950Thu Jul 14 09:11:49 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2eical methods for scientists and engineers", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "411", year = "1962", LCCN = "QA297 .H28", bibdate = "Fri Aug 20 09:12:08 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", subject = "Numerical analysis; Electronic digital computers", }ts and engineerspub-MCGRAW-HILLpub-MCGRAW-HILL:adr4111962QA297 .H28Fri Aug 20 09:12:08 MDT 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 09:12:08 MDTInternational series in pure and applied mathematicsCited in cite Sterbenz:1974:FPC.Numerical analysis; Electronic digital computersack-nhfb @Book{Hamming:1962:NMS, author = "R. 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(Richard Wesley) Hamming", title = "Numerical methods for scientists and engineers", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "411", year = "1962", LCCN = "QA297 .H28", bibdate = "Fri Aug 20 09:12:08 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", subject = "Numerical analysis; Electronic digital computers", }ng Point Feature on the {IBM Type 1620}", journal = j-IBM-TDB, volume = "05-62", pages = "43--46", month = may, year = "1962", CODEN = "IBMTAA", ISSN = "0018-8689", bibdate = "Fri Nov 28 11:26:02 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "IBM Technical Disclosure Bulletin", keywords = "decimal floating-point arithmetic", remark = "The IBM 1620 normalized variable-precision arithmetic provides up to 100 decimal digits with an exponent range of $ \pm 99 $.", }ww.math.utah.edu/pub/tex/bib/fparith.bib2003.11.28 11:26:02 ???IBM Technical Disclosure Bulletindecimal floating-point arithmeticThe IBM 1620 normalized variable-precision arithmetic provides up to 100 decimal digits with an exponent range of $ pm 99 $.ack-nhfb @Article{Jones:1962:FPF, author = "F. 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Karatsuba and Y. OfmanMultiplication of multidigit numbers on automataj-DOKL-AKAD-NAUK145293--2941962DANKAS0002-3264 OR 00023264Tue Jul 05 10:35:11 2005http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.07.05 10:35:11 ???Doklady Akademii nauk SSSRack-nhfb @Article{Karatsuba:1962:MMN, author = "A. Karatsuba and Y. Ofman", title = "Multiplication of multidigit numbers on automata", journal = j-DOKL-AKAD-NAUK, volume = "145", number = "??", pages = "293--294", month = "????", year = "1962", CODEN = "DANKAS", ISSN = "0002-3264", bibdate = "Tue Jul 05 10:35:11 2005", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Doklady Akademii nauk SSSR", }= "Division and overflow detection in residue number systems", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-11", number = "4", pages = "501--507", month = aug, year = "1962", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1962.5219389", ISSN = "0367-9950", MRclass = "68.00", MRnumber = "MR0150990 (27 \#976)", MRreviewer = "N. H. Choksy", bibdate = "Thu Jul 14 09:11:51 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5219389", acknowledgement = ack-nhfb, fjournal = "IRE Transactions on Electronic Computers", }s on Electronic Computersack-nhfb @Article{Keir:1962:DOD, author = "Y. A. Keir and P. W. Cheney and M. Tannenbaum", title = "Division and overflow detection in residue number systems", journal = j-IRE-TRANS-ELEC-COMPUT, volume = "EC-11", number = "4", pages = "501--507", month = aug, year = "1962", CODEN = "IRELAO", DOI = "http://dx.doi.org/10.1109/TEC.1962.5219389", ISSN = "0367-9950", MRclass = "68.00", MRnumber = "MR0150990 (27 \#976)", MRreviewer = "N. H. 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Garwick", title = "The Accuracy of Floating Point Computers", journal = j-NORDISK-TIDSKR-INFORM-BEHm[ @Article{Garwick:1961:RAF, author = "J. V. Garwick", title = "Reply to {``On the matic choice of integration steps (intervals). The program for the computer $ rm MECIPTI $ in a floating point regime. (Romanian)An. Univ. Timisoara Ser. Sti. Mat.-Fiz.1133--139196368.0030\#3588Fri Dec 08 13:52:47 1995http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 13:52:47 ???ack-nhfbR. N. Goss @Article{Geier:1963:ACD, author = "A. Geier and I. Sturz", title = "The approximate calculation of a definite integral with automatic choice of integration steps (intervals). The program for the computer {$ {\rm MECIPTI} $} in a floating point regime. (Romanian)", journal = "An. Univ. Timi{\c{s}}oara Ser. {\c{S}}ti. Mat.-Fiz.", volume = "1", pages = "133--139", year = "1963", MRclass = "68.00", MRnumber = "30\#3588", bibdate = "Fri Dec 08 13:52:47 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, reviewer = "R. N. Goss", }hmetic on a digital computer", journal = j-CACM, volume = "6", number = "3", pages = "111--117", month = mar, year = "1963", CODEN = "CACMA2", DOI = "http://dx.doi.org/10.1145/366274.366339", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:45 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "The 7090 at NYU has been modified to include a ``Significance Mode'' of operation which is intended to facilitate the identification of significant bits in the results of floating-point arithmetic operations. The manner in which floating-point arithmetic is handled in this mode is discussed. Several numerical experiments using this mode are described and comparisons are made with the ordinary ``normalized mode.'' Examples include power series evaluation, linear equations solution, determinant evaluation and matrix inversion.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }f significant bits in the results of floating-point arithmetic operations. The manner in which floating-point arithmetic is handled in this mode is discussed. Several numerical experiments using this mode are described and comparisons are made with the ordinary ``normalized mode.'' Examples include power series evaluation, linear equations solution, determinant evaluation and matrix inversion.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Goldstein:1963:SAD, author = "Max Goldstein", title = "Significance arithmetic on a digital computer", journal = j-CACM, volume = "6", number = "3", pages = "111--117", month = mar, year = "1963", CODEN = "CACMA2", DOI = "http://dx.doi.org/10.1145/366274.366339", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:19:45 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "The 7090 at NYU has been modified to include a ``Significance Mode'' of operation which is intended to facilitate the identification of significant bits in the results of floating-point arithmetic operations. The manner in which floating-point arithmetic is handled in this mode is discussed. Several numerical experiments using this mode are described and comparisons are made with the ordinary ``normalized mode.'' Examples include power series evaluation, linear equations solution, determinant evaluation and matrix inversion.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } MM#WQ #1'g[57E5;1?cMarticlefparith.bibGoldstein:1963:SADMax GoldsteinSignificance arithmetic on a digital computerj-CACM63111--117mar31963CACMA2http://dx.doi.org/10.1145/366274.3663390001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:19:45 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:19:45 MSTThe 7090 at NYU has been modified to include a ``Significance Mode'' of operation which is intended to facilitate the identification outer Multiplication and Division Using Binary Logarithms", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "3", pages = "319--320", month = jun, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263572", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:39 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037874", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }put.bib2011.07.14 08:10:39 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037874IEEE Transactions on Electronic Computersack-nhfb @Article{Krishnamurthy:1963:CMD, author = "E. V. Krishnamurthy", title = "On Computer Multiplication and Division Using Binary Logarithms", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "3", pages = "319--320", month = jun, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263572", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:39 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037874", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } FFKYQ #+!=a7E;_]articlefparith.bibLehman:1963:MABM. LehmanThe Minimization of Assimilations in Binary Carry-Storage Arithmetic Unitsj-IEEE-TRANS-ELEC-COMPUTEC-124409--410aug81963IEECA8http://dx.doi.org/10.1109/PGEC.1963.2634790367-7508 OR 03677508Thu Jul 14 08:10:40 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetrWXQ #93=a7E;_iarticlefparith.bibKrishnamurthy:1963:CMDE. V. 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R. Li", title = "Fast Constant Division Rou>5k @Article{Li:1992:CSC, author = "Zhenyu Li and Victor Milenkovic", title = "Constr#t}{ @Article{Li:2001:PMM, author = "Keqin Li and V. Y. Pan", title = "Parallel matrix6cwo @Article{Li:2002:DIT, author = "Xiaoye S. Li and James W. Demmel and David H. Bailey 8 @Article{Li:2008:MLB, author = "Xin Li and Marc Moreno Maza and Raqeeb Rasheed and D2e @Article{Li:2009:FAT, author = "Xin Li and Marc Moreno Maza and {\'E}ric Schost", title Fh; @Article{Liedel:2012:SDC, author = "Manuel Liedel", title = "Secure Distributed CJpo_ @Article{Lien:1987:RCI, author = "B. Lien and G. Tang", title = "Reversed {Chebyshev} impleme-W/ @Article{Liew:2006:SRR, author = "T. H. Liew and Lie-Liang Yang and L. Hanzo", title = AUanscomput.bib2011.07.14 08:10:40 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037921IEEE Transactions on Electronic Computersack-nhfb @Article{Lehman:1963:MAB, author = "M. Lehman", title = "The Minimization of Assimilations in Binary Carry-Storage Arithmetic Units", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "4", pages = "409--410", month = aug, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263479", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:40 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037921", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }n in Residue Number Systems", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "1", pages = "36--37", month = feb, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263493", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:36 MDT 2011", bibsource = "http://ieeexplore.ieee.org/; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037786; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4037754", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", keywords = "residue arithmetic; residue number system", }ion in Residue Number Systems", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "1", pages = "36--37", month = feb, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263493", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:36 MDT 2011", bibsource = "http://ieeexplore.ieee.org/; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037786; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4037754", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", keywords = "residue arithmetic; residue number system", } ccZQ #+%=a7EU;__marticlefparith.bibLehmer:1963:RDOD. H. LehmerR63--17 Division and Overflow Detection in Residue Number Systemsj-IEEE-TRANS-ELEC-COMPUTEC-12136--37feb21963IEECA8http://dx.doi.org/10.1109/PGEC.1963.2634930367-7508 OR 03677508Thu Jul 14 08:10:36 MDT 2011http://ieeexplore.ieee.org/; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 08:10:36 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4037786; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4037754IEEE Transactions on Electronic Computersresidue arithmetic; residue number systemack-nhfb @Article{Lehmer:1963:RDO, author = "D. H. Lehmer", title = "{R63--17} Division and Overflow Detect "Magnitude comparison and overflow detection in modular arithmetic computers", journal = j-SIAM-REVIEW, volume = "5", number = "4", pages = "342--350", month = "????", year = "1963", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", }etection in modular arithmetic computersj-SIAM-REVIEW54342--3501963SIREAD0036-1445 (print), 1095-7200 (electronic) OR 00361445 (print), 10957200 (electronic)0036-1445 OR 00361445Wed Apr 29 18:26:14 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib1998.04.29 18:26:14 ???SIAM Reviewack-nhfbhttp://epubs.siam.org/sirev @Article{Lindamood:1963:MCO, author = "George E. Lindamood and George Shapiro", title = "Magnitude comparison and overflow detection in modular arithmetic computers", journal = j-SIAM-REVIEW, volume = "5", number = "4", pages = "342--350", month = "????", year = "1963", CODEN = "SIREAD", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Wed Apr 29 18:26:14 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", } 9*]O#'o]+3)E%;mM;bookfparith.bibMood:1963:ITSAlexander McFarlane Mood and Franklin A. GraybillIntroduction to th\R#3Qw=97E);a_M!s articlefparith.bibM;[P#1Y#'57=m;#C articlefparith.bibLindamood:1963:MCOGeorge E. Lindamood and George ShapiroMagnitude comparison and overflow d "Basic Operations in an Unnormalized Arithmetic System", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "6", pages = "896--904", month = dec, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263593; http://dx.doi.org/10.1109/PGEC.1963.263592", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:44 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038037", ZMnumber = "0124.07910", abstract = "A particular set of unnormalized arithmetic operations termed ``basic'' are described, in the context of the University of Chicago Maniac III Computer. Each basic operation involves three operand words and generates two result words, all in unnormalized floating point format. The use of these operations in the implementation of multi-precision arithmetic is explained; in particular, it is demonstrated that multiprecision division can be effected in a nontentative manner with their aid.", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", remark = "Cited in \cite{Sterbenz:1974:FPC}.", }etropolis:1963:BOUN. Metropolis and R. L. AshenhurstBasic Operations in an Unnormalized Arithmetic Systemj-IEEE-TRANS-ELEC-COMPUTEC-126896--904dec121963IEECA8http://dx.doi.org/10.1109/PGEC.1963.263593; http://dx.doi.org/10.1109/PGEC.1963.2635920367-7508 OR 03677508Thu Jul 14 08:10:44 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 08:10:44 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038037A particular set of unnormalized arithmetic operations termed ``basic'' are described, in the context of the University of Chicago Maniac III Computer. Each basic operation involves three operand words and generates two result words, all in unnormalized floating point format. The use of these operations in the implementation of multi-precision arithmetic is explained; in particular, it is demonstrated that multiprecision division can be effected in a nontentative manner with their aid.IEEE Transactions on Electronic ComputersCited in cite Sterbenz:1974:FPC.0124.07910ack-nhfb @Article{Metropolis:1963:BOU, author = "N. Metropolis and R. L. Ashenhurst", title = "Basic Operations in an Unnormalized Arithmetic System", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-12", number = "6", pages = "896--904", month = dec, year = "1963", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1963.263593; http://dx.doi.org/10.1109/PGEC.1963.263592", ISSN = "0367-7508", bibdate = "Thu Jul 14 08:10:44 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038037", ZMnumber = "0124.07910", abstract = "A particular set of unnormalized arithmetic operations termed ``basic'' are described, in the context of the University of Chicago Maniac III Computer. Each basic operation involves three operand words and generates two result words, all in unnormalized floating point format. The use of these operations in the implementation of multi-precision arithmetic is explained; in particular, it is demonstrated that multiprecision division can be effected in a nontentative manner with their aid.", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", remark = "Cited in \cite{Sterbenz:1974:FPC}.", } = "Introduction to the theory of statistics", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, edition = "Second", pages = "443", year = "1963", LCCN = "HA29 .M75 1963", bibdate = "Fri Aug 20 10:02:03 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "McGraw-Hill series in probability and statistics", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", subject = "Mathematical statistics", }he theory of statisticspub-MCGRAW-HILLpub-MCGRAW-HILL:adrSecond4431963HA29 .M75 1963Fri Aug 20 10:02:03 MDT 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 10:02:03 MDTMcGraw-Hill series in probability and statisticsCited in cite Sterbenz:1974:FPC.Mathematical statisticsack-nhfb @Book{Mood:1963:ITS, author = "Alexander McFarlane Mood and Franklin A. Graybill", title = "Introduction to the theory of statistics", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, edition = "Second", pages = "443", year = "1963", LCCN = "HA29 .M75 1963", bibdate = "Fri Aug 20 10:02:03 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "McGraw-Hill series in probability and statistics", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", subject = "Mathematical statistics", }uit for the square root of the sum of the squares", journal = j-PROC-IEEE, volume = "51", number = "4", pages = "593--596", month = apr, year = "1963", CODEN = "IEEPAD", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Sat Jul 16 15:28:13 MDT 2005", bibsource = "http://ieeexplore.ieee.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the IEEE", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", summary = "A piecewise-linear network can produce an output proportional to the square root of the sum of the squares of a set of input voltages, using resistors and diodes alone. The required relationship between voltages can be represented by a multi- \ldots{}", } title = "A circuit for the square root of the sum of the squares", journal = j-PROC-IEEE, volume = "51", number = "4", pages = "593--596", month = apr, year = "1963", CODEN = "IEEPAD", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Sat Jul 16 15:28:13 MDT 2005", bibsource = "http://ieeexplore.ieee.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the IEEE", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", summary = "A piecewise-linear network can produce an output proportional to the square root of the sum of the squares of a set of input voltages, using resistors and diodes alone. The required relationship between voltages can be represented by a multi- \ldots{}", } q^P#)E{#57E';;articlefparith.bibStern:1963:CSRT. E. Stern and R. M. LernerA circuit for the square root of the sum of the squaresj-PROC-IEEE514593--596apr41963IEEPAD0018-9219 (print), 1558-2256 (electronic) OR 00189219 (print), 15582256 (electronic)0018-9219 OR 00189219Sat Jul 16 15:28:13 MDT 2005http://ieeexplore.ieee.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.07.16 15:28:13 MDTProceedings of the IEEEack-nhfbhttp://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5 @Article{Stern:1963:CSR, author = "T. E. Stern and R. M. Lerner", iple-precision floating-point interpretive program for the {Control Data} 1604", journal = j-COMP-J, volume = "6", number = "1", pages = "62--66", month = apr, year = "1963", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:55:45 MDT 2000", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/060062.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/62.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/63.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/64.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/65.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/66.tif", acknowledgement = ack-nhfb # " and " # ack-nj, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } ++rL&C @Article{Schatte:1990:SBF, author = "Peter Schatte", title = "On the stochastic bpa @Article{Scheidt:1987:DFP, author = "J. K. Scheidt and C. W. Schelin", title = "D# @Article{Scherson:1988:MOA, author = "Isaac D. Scherson and Smil Ruhman", title = @Article{Scherson:1992:BPA, author = "I. D. Scherson and D. A. Kramer and B. D. Alleyne", $E @Article{Schimandle:1990:MBC, author = "James Schimandle", title = "{Microsoft BA'O @Article{Schimmler:2004:BSF, author = "Manfred Schimmler and Bertil Schmidt and Hans-Werne=Q{y @Article{Schmid:1958:TFQ, author = "Hermann Schmid", title = "A Transistorized FoD+W @Article{Schmid:1973:BLIa, author = "H. Schmid", title = "{BCD} logic {I}: {BCD} dI @Article{Schmid:1973:BLIb, author = "H. Schmid", title = "{BCD} logic {II}: {BCD}<7' @Article{Chandra:1987:% @Article{Bromley:1991:FAT, author = 3Qti @Article{Bemer:1963:NRT, author = "R. W. Bemer", title = "A Note on Range Transfoׇxq @Article{Beuchat:2008:AGM, author = "J.-L. Beuchat and J.-M. Muller", title = "AuD2% @Article{Bivins:1977:SAA, author = "Robert L. Bivins and Nicholas C. 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Burton and Thomas M. ,% @Article{Beuchat:2011:FAP, author = "Jean-Luc Beuchat and Jeremie Detrey and Nicolas Hch.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/2000.09.29 08:55:45 MDThttp://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/060062.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/62.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/63.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/64.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/65.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/66.tifThe Computer Journalack-nhfbhttp://comjnl.oxfordjournals.org/ @Article{Stroud:1963:MPF, author = "A. H. Stroud and D. Secrest", title = "A multiple-precision floating-point interpretive program for the {Control Data} 1604", journal = j-COMP-J, volume = "6", number = "1", pages = "62--66", month = apr, year = "1963", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:55:45 MDT 2000", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/060062.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/62.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/63.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/64.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/65.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_06/Issue_01/tiff/66.tif", acknowledgement = ack-nhfb # " and " # ack-nj, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } W_R#+C157EK;5O;articlefparith.bibStroud:1963:MPFA. H. Stroud and D. SecrestA multiple-precision floating-point interpretive program for the Control Data 1604j-COMP-J6162--66apr41963CMPJA60010-4620 (print), 1460-2067 (electronic) OR 00104620 (print), 14602067 (electronic)0010-4620 OR 00104620Fri Sep 29 08:55:45 MDT 2000ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fpariton", journal = j-INF-PROCESS-MACH, volume = "9", number = "??", pages = "25--33", month = "????", year = "1963", CODEN = "IPRMDD", ISSN = "0373-885X", bibdate = "Thu Apr 2 08:38:35 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, fjournal = "Information processing machines", } g`N #+!?17;m;K= articlefparith.bibSvoboda:1963:ADA. SvobodaAn algorithm for divisionj-INF-PROCESS-MACH925--331963IPRMDD0373-885X OR 0373885XThu Apr 2 08:38:35 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib1998.04.02 08:38:35 ???Information processing machinesack-sfo @Article{Svoboda:1963:AD, author = "A. Svoboda", title = "An algorithm for division", journal = j-INF-PROCESS-MACH, volume = "9", number = "??", pages = "25--33", month = "????", year = "1963", CODEN = "IPRMDD", ISSN = "0373-885X", bibdate = "Thu Apr 2 08:38:35 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, fjournal = "Information processing machines", }ations in floating-point arithmetic", crossref = "Metropolis:1963:PFS", pages = "185--198", year = "1963", MRclass = "65.35", MRnumber = "28\#1744", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, reviewer = "A. S. Householder", } +aN '#1+e3;m;/5inproceedingsfparith.bibWilkinson:1963:PSAJ. H. WilkinsonPlane rotations in floating-point arithmeticMetropolis:1963:PFS185--198196365.3528\#1744Fri Dec 8 08:24:14 1995http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 08:24:14 ???ack-nhfbA. S. Householder @InProceedings{Wilkinson:1963:PSA, author = "J. H. Wilkinson", title = "Plane rotations in floating-point arithmetic", crossref = "Metropolis:1963:PFS", pages = "185--198", year = "1963", MRclass = "65.35", MRnumber = "28\#1744", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, reviewer = "A. S. Householder", } in Algebraic Processes", publisher = pub-PH, address = pub-PH:adr, pages = "vi + 161", year = "1963", LCCN = "QA76.5 .W53 1964", bibdate = "Thu Sep 08 13:29:45 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, remark = "Cited in \cite{Sterbenz:1974:FPC}.", } .bN #11Y!-=m;M5bookfparith.bibWilkinson:1963:REAJames H. WilkinsonRounding Errors in Algebraic Processespub-PHpub-PH:adrvi + 1611963QA76.5 .W53 1964Thu Sep 08 13:29:45 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.08 13:29:45 ???Cited in cite Sterbenz:1974:FPC.ack-nj @Book{Wilkinson:1963:REA, author = "James H. Wilkinson", title = "Rounding Errors in Algebraic Processes", publisher = pub-PH, address = pub-PH:adr, pages = "vi + 161", year = "1963", LCCN = "QA76.5 .W53 1964", bibdate = "Thu Sep 08 13:29:45 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }ulating machine", journal = j-IEEE-SPECTRUM, volume = "1", number = "??", pages = "62--69", month = aug, year = "1964", CODEN = "IEESAM", ISSN = "0018-9235 (print), 1939-9340 (electronic)", ISSN-L = "0018-9235", bibdate = "Wed Oct 13 11:16:56 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", note = "Previously unpublished memorandum. Reprinted in \cite[\S 5.1]{Randell:1982:ODC}.", acknowledgement = ack-nhfb, fjournal = "IEEE Spectrum", remark = "This article does not appear in the IEEE Xplore database, and that source lists only volume 1, number 1, for 1964. I found multiple references to this paper as the August 1964 issue, so perhaps IEEE Xplore is missing early journal issues??", }title = "Proposed automatic calculating machine", journal = j-IEEE-SPECTRUM, volume = "1", number = "??", pages = "62--69", month = aug, year = "1964", CODEN = "IEESAM", ISSN = "0018-9235 (print), 1939-9340 (electronic)", ISSN-L = "0018-9235", bibdate = "Wed Oct 13 11:16:56 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/master.bib", note = "Previously unpublished memorandum. Reprinted in \cite[\S 5.1]{Randell:1982:ODC}.", acknowledgement = ack-nhfb, fjournal = "IEEE Spectrum", remark = "This article does not appear in the IEEE Xplore database, and that source lists only volume 1, number 1, for 1964. I found multiple references to this paper as the August 1964 issue, so perhaps IEEE Xplore is missing early journal issues??", } IcR #)#Y+57=O;%'k}articlefparith.bibAiken:1964:PACH. H. AikenProposed automatic calculating machinej-IEEE-SPECTRUM162--69aug81964IEESAM0018-9235 (print), 1939-9340 (electronic) OR 00189235 (print), 19399340 (electronic)0018-9235 OR 00189235Wed Oct 13 11:16:56 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/master.bib2010.10.13 11:16:56 ???Previously unpublished memorandum. Reprinted in cite [ 5.1]Randell:1982:ODC.IEEE SpectrumThis article does not appear in the IEEE Xplore database, and that source lists only volume 1, number 1, for 1964. I found multiple references to this paper as the August 1964 issue, so perhaps IEEE Xplore is missing early journal issues??ack-nhfb @Article{Aiken:1964:PAC, author = "H. H. Aiken", ing point interpretive system: for the {RPC 4000 General Precision} electronic computer", organization = "General Precision, Inc.", address = "West Lafayette, IN, USA", pages = "45", year = "1964", bibdate = "Mon May 06 10:24:31 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Electronic digital computers --- Programming.; Purdue University School of Electrical Engineering; RPC 4000 (Computer)", remark = "Program no. H1-02.0", }ic computerGeneral Precision, Inc.West Lafayette, IN, USA451964Mon May 06 10:24:31 2002http://www.math.utah.edu/pub/tex/bib/fparith.bib2002.05.06 10:24:31 ???Electronic digital computers --- Programming.; Purdue University School of Electrical Engineering; RPC 4000 (Computer)Program no. H1-02.0ack-nhfb @Manual{Anonymous:1964:PPF, author = "Anonymous", title = "{PINT}: {Purdue} floating point interpretive system: for the {RPC 4000 General Precision} electronic computer", organization = "General Precision, Inc.", address = "West Lafayette, IN, USA", pages = "45", year = "1964", bibdate = "Mon May 06 10:24:31 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Electronic digital computers --- Programming.; Purdue University School of Electrical Engineering; RPC 4000 (Computer)", remark = "Program no. H1-02.0", } keO #3-i57=m;1e!articlefparith.bibAshenhurst:19ՉTdP #1[;;=m;y3'manualfparith.bibAnonymous:1964:PPFAnonymousPINT: Purdue floating point interpretive system: for the RPC 4000 General Precision electronuation in Unnormalized Arithmetic", journal = j-J-ACM, volume = "11", number = "2", pages = "168--187", month = apr, year = "1964", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Thu Nov 03 22:33:52 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }64:FEUR. L. AshenhurstFunction Evaluation in Unnormalized Arithmeticj-J-ACM112168--187apr41964JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Thu Nov 03 22:33:52 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.11.03 22:33:52 ???Journal of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Ashenhurst:1964:FEU, author = "R. L. Ashenhurst", title = "Function Evaluation in Unnormalized Arithmetic", journal = j-J-ACM, volume = "11", number = "2", pages = "168--187", month = apr, year = "1964", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Thu Nov 03 22:33:52 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } calculation of the $ 3 - j $, $ 6 - j $ and $ 9 - j $ symbols", journal = j-CACM, volume = "7", number = "11", pages = "657--659", month = nov, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.25", MRnumber = "31\#865", bibdate = "Mon Oct 24 09:33:02 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Described in this paper is a system of general-purpose multiple-precision fixed-point routines and their use in subroutines which calculate exactly the quantum-mechanical 3-j, 6-j and 9-j symbols of large arguments.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } ++rL&\9fM @Article{Beckmann:1993:FFTb, author = "P. E. Beckmann and B. R. Musicus", title = $و"E @Article{Beebe:2007:ETM, author = "Nelson H. F. Beebe", title = "Extending {\TeX}B)qc @Article{Beebe:2009:NML, author = "Nelson H. F. Beebe", title = "A new math libraE`Z5 @Article{Behringer:1970:BFI, author = "F. A. Behringer", title = "{Eine bedingte n @Article{Belanovic:2002:LPF, author = "Pavle Belanovic and Miriam Leeser", title = 7˅E @Article{Bemer:1958:MMS, author = "Robert W. Bemer", title = "A Machine Method fo(B @Article{Bemer:1958:SMC, author = "R. W. Bemer", title = "A Subroutine Method for*ti @Article{Bemer:1963:NRT, author = "R. W. Bemer", title = "A Note on Range Transfo(S @Article{Benford:1938:LAN, author = "Frank Benford", title = "The Law of AnomalouD calculation of the $ 3 - j $, $ 6 - j $ and $ 9 - j $ symbols", journal = j-CACM, volume = "7", number = "11", pages = "657--659", month = nov, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.25", MRnumber = "31\#865", bibdate = "Mon Oct 24 09:33:02 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Described in this paper is a system of general-purpose multiple-precision fixed-point routines and their use in subroutines which calculate exactly the quantum-mechanical 3-j, 6-j and 9-j symbols of large arguments.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } 44@fR#'U_57E;;?c'articlefparith.bibBaer:1964:MPARobert M. Baer and Martin G. RedlichMultiple-precision arithmetic and the exact calculation of the $ 3 - j $, $ 6 - j $ and $ 9 - j $ symbolsj-CACM711657--659nov111964CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 0001078265.2531\#865Mon Oct 24 09:33:02 MDT 2005http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.10.24 09:33:02 MDTDescribed in this paper is a system of general-purpose multiple-precision fixed-point routines and their use in subroutines which calculate exactly the quantum-mechanical 3-j, 6-j and 9-j symbols of large arguments.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Baer:1964:MPA, author = "Robert M. Baer and Martin G. Redlich", title = "Multiple-precision arithmetic and the exact study of floating point arithmetic", type = "Thesis ({M.S. in Math.})", school = "Georgia Institute of Technology", address = "Atlanta, GA, USA", pages = "51", year = "1964", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Electronic digital computers.; Number theory.; Numerical calculations --- Computer programs.", }Bookhart:1964:SFPThomas Woodward BookhartA study of floating point arithmeticThesis (M.S. in Math.)Georgia Institute of TechnologyAtlanta, GA, USA511964Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTElectronic digital computers.; Number theory.; Numerical calculations --- Computer programs.ack-nhfb @MastersThesis{Bookhart:1964:SFP, author = "Thomas Woodward Bookhart", title = "A study of floating point arithmetic", type = "Thesis ({M.S. in Math.})", school = "Georgia Institute of Technology", address = "Atlanta, GA, USA", pages = "51", year = "1964", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Electronic digital computers.; Number theory.; Numerical calculations --- Computer programs.", } gO '#/=U9K-Em;E9mastersthesisfparith.bib some general modes of arithmetic", journal = j-CACM, volume = "7", number = "2", pages = "119--127", month = feb, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Oct 24 09:33:00 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "An interpretive programming package is described for computation with operands which may be real, complex, single or double precision, or real multiple precision. It also performs operations on matrices formed from these elements. A simple language structure is used to describe the computation.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }or some general modes of arithmetic", journal = j-CACM, volume = "7", number = "2", pages = "119--127", month = feb, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Oct 24 09:33:00 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "An interpretive programming package is described for computation with operands which may be real, complex, single or double precision, or real multiple precision. It also performs operations on matrices formed from these elements. A simple language structure is used to describe the computation.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", } ``hR #-'57E;[?cS articlefparith.bibBrooker:1964:PPSR. A. BrookerA programming package for some general modes of arithmeticj-CACM72119--127feb21964CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Mon Oct 24 09:33:00 MDT 2005http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.10.24 09:33:00 MDTAn interpretive programming package is described for computation with operands which may be real, complex, single or double precision, or real multiple precision. It also performs operations on matrices formed from these elements. A simple language structure is used to describe the computation.Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Brooker:1964:PPS, author = "R. A. Brooker", title = "A programming package fhs B5500} Information Processing Systems Reference Manual", organization = "Burroughs Corporation", address = "Detroit, MI, USA", year = "1964", bibdate = "Wed Nov 22 21:15:11 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "decimal floating-point arithmetic", remark = "The B5500 uses a decimal integer or fixed-point coefficient of 21 or 22 digits, with an exponent range of $ \pm 63 $.", }ationBurroughs B5500 Information Processing Systems Reference ManualBurroughs CorporationDetroit, MI, USA119--1271964Wed Nov 22 21:15:11 2006http://www.math.utah.edu/pub/tex/bib/fparith.bib2006.11.22 21:15:11 ???decimal floating-point arithmeticThe B5500 uses a decimal integer or fixed-point coefficient of 21 or 22 digits, with an exponent range of $ pm 63 $.ack-nhfb @Manual{Burroughs:1964:BBI, author = "{Burroughs Corporation}", title = "{Burroughs B5500} Information Processing Systems Reference Manual", organization = "Burroughs Corporation", address = "Detroit, MI, USA", year = "1964", bibdate = "Wed Nov 22 21:15:11 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "decimal floating-point arithmetic", remark = "The B5500 uses a decimal integer or fixed-point coefficient of 21 or 22 digits, with an exponent range of $ \pm 63 $.", } ;t;)jQ #'+g]57;O;A?_ckarticlefparith.bibCody:1964:DPSW. J. Cody, Jr.Double-Precision Square Root for the CDC-3600j-CACM712715--718dec121964CACMA2http://doi.acm.org/10.1145/355588.3651220001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 1 10:15:43 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:43 ???In January of 1960, the late Hans J. Maehly completed a summary of approximations to the elementary functions for the CDC-1604 computer. The approximations and techniques suggested by Maehly are equally applicable to the second large computer in the CDC line, iP #177-=m;Ou# manualfparith.bibBurroughs:1964:BBIBurroughs Corporwyy~ #(-27<AFKPUZ_dinsx} "(.4:@FLRX^djpv|! '*17:CSUZ`lnq!! '*17:CSUZ`lnq!x"{%&()*+-.1238:;>@ABFIJKMPRSTWZ]_"`%e0f3h8k?lCnJqSrWsZt]vbwexh{o}tz Ɓсցف"%&(*+, .01234"5$6S8X9[:^<f?l@oBtF~HKLMORofflrx~ &,28>DJPV\bhntz "(.4:@FLRX^djpv|VWYZ]^ǁ_Ɂ`ˁábЁcӁeفf܁g߁hVWYZ]^ǁ_Ɂ`ˁábЁcӁeفf܁g߁hjlmorsuyz{|'),147 >@C FNU\ahjlosv| "%(+-.02457Ƃ8ɂ:;Ђ<҂=Ղ>ۂ?݂ABDEFGIJLN OPQTVY)\5]7^;`BbIdMePgUiYj\kclfnnoqq~swyz{|}~quare Root for the {CDC-3600}", journal = j-CACM, volume = "7", number = "12", pages = "715--718", month = dec, year = "1964", CODEN = "CACMA2", DOI = "http://doi.acm.org/10.1145/355588.365122", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:43 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "In January of 1960, the late Hans J. Maehly completed a summary of approximations to the elementary functions for the CDC-1604 computer. The approximations and techniques suggested by Maehly are equally applicable to the second large computer in the CDC line, the 3600. Unlike the 1604, however, the 3600 has built-in double-precision floating-point arithmetic. The present work, largely inspired by the successes of Maehly and his associates, concerns the extension of one of Maehly's ideas to a double-precision subroutine for the 3600.", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$sqrt(x)$; CDC 3600; elementary functions", }the 3600. Unlike the 1604, however, the 3600 has built-in double-precision floating-point arithmetic. The present work, largely inspired by the successes of Maehly and his associates, concerns the extension of one of Maehly's ideas to a double-precision subroutine for the 3600.Communications of the ACM$sqrt(x)$; CDC 3600; elementary functionsack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Cody:1964:DPS, author = "W. J. {Cody, Jr.}", title = "Double-Precision Square Root for the {CDC-3600}", journal = j-CACM, volume = "7", number = "12", pages = "715--718", month = dec, year = "1964", CODEN = "CACMA2", DOI = "http://doi.acm.org/10.1145/355588.365122", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:43 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/bibnet/authors/c/cody-william-j.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "In January of 1960, the late Hans J. Maehly completed a summary of approximations to the elementary functions for the CDC-1604 computer. The approximations and techniques suggested by Maehly are equally applicable to the second large computer in the CDC line, the 3600. Unlike the 1604, however, the 3600 has built-in double-precision floating-point arithmetic. The present work, largely inspired by the successes of Maehly and his associates, concerns the extension of one of Maehly's ideas to a double-precision subroutine for the 3600.", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$sqrt(x)$; CDC 3600; elementary functions", }Built-In Square Root Method", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "2", pages = "156--157", month = apr, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263791", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:59 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038119", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }p://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:56:59 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038119IEEE Transactions on Electronic Computersack-nhfb @Article{Cowgill:1964:LEB, author = "D. Cowgill", title = "Logic Equations for a Built-In Square Root Method", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "2", pages = "156--157", month = apr, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263791", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:59 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038119", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } i lP ##G!57=K;7S_articlefparith.bibEve:1964:EPJ. EveThe Evaluation of PolynomikP #-!o=a7E;_ articlefparith.bibCowgill:1964:LEBD. CowgillLogic Equations for a Built-In Square Root Methodj-IEEE-TRANS-ELEC-COMPUTEC-132156--157apr41964IEECA8http://dx.doi.org/10.1109/PGEC.1964.2637910367-7508 OR 03677508Thu Jul 14 06:56:59 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; htt journal = j-NUM-MATH, volume = "6", pages = "17--21", year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Sep 16 10:21:47 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/16", xxmonth = "(none)", xxnumber = "(none)", }alsj-NUM-MATH617--211964NUMMA70029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)0029-599X OR 0029599XFri Sep 16 10:21:47 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.16 10:21:47 ???Numerische Mathematikack-njhttp://link.springer.com/journal/16 @Article{Eve:1964:EP, author = "J. Eve", title = "The Evaluation of Polynomials", journal = j-NUM-MATH, volume = "6", pages = "17--21", year = "1964", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Sep 16 10:21:47 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/16", xxmonth = "(none)", xxnumber = "(none)", }cations of division by convergence", type = "Thesis ({M.S.})", school = "Dept. of Electrical Engineering, Massachusetts Institute of Technology", address = "Cambridge, MA, USA", pages = "44 (est.)", month = jun, year = "1964", bibdate = "Thu Apr 2 08:38:35 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, } >>>mO '#5/['1;m;mmastersthesisfparith.bibGoldschmidt:1964:ADCR. E. GoldschmidtApplications of division by convergenceThesis (M.S.)Dept. of Electrical Engineering, Massachusetts Institute of TechnologyCambridge, MA, USA44 (est.)jun61964Thu Apr 2 08:38:35 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib1998.04.02 08:38:35 ???ack-sfo @MastersThesis{Goldschmidt:1964:ADC, author = "R. E. Goldschmidt", title = "Applications of division by convergence", type = "Thesis ({M.S.})", school = "Dept. of Electrical Engineering, Massachusetts Institute of Technology", address = "Cambridge, MA, USA", pages = "44 (est.)", month = jun, year = "1964", bibdate = "Thu Apr 2 08:38:35 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-sfo # " and " # ack-nhfb, } of Zero in Floating-Point Arithmetic", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "4", number = "3", pages = "156--161", month = sep, year = "1964", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01956026", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "68.00", MRnumber = "29\#5412", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=4&issue=3&spage=156", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point arithmetic; rounding errors", }link.springer.com/journal/10543 @Article{Gram:1964:RZF, author = "Christian Gram", title = "On the Representation of Zero in Floating-Point Arithmetic", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "4", number = "3", pages = "156--161", month = sep, year = "1964", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01956026", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", MRclass = "68.00", MRnumber = "29\#5412", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=4&issue=3&spage=156", acknowledgement = ack-nhfb, journal-URL = "http://link.springer.com/journal/10543", keywords = "floating-point arithmetic; rounding errors", } E)oO#-Uo57;m;?caarticlefparith.bibGregory:1964:FANRobert T. Gregory and James L. RaneyFloating-point arithme/nR #')I)+57;m;KaYGarticlefparith.bibGram:1964:RZFChristian GramOn the Representation of Zero in Floating-Point Arithmeticj-NORDISK-TIDSKR-INFORM-BEHAND43156--161sep91964BITTEL, NBITABhttp://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF019560260006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)0006-3835 OR 0006383568.0029\#5412Fri Dec 8 08:24:14 1995http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 08:24:14 ???http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=4&issue=3&spage=156floating-point arithmetic; rounding errorsack-nhfbhttp:// "Floating-point arithmetic with $ 84 $-bit numbers", journal = j-CACM, volume = "7", pages = "10--13", year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "68.00", MRnumber = "30\#2706", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }tic with $ 84 $-bit numbersj-CACM710--131964CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 0001078268.0030\#2706Fri Dec 8 08:24:14 1995http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 08:24:14 ???Communications of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Gregory:1964:FAN, author = "Robert T. Gregory and James L. Raney", title = "Floating-point arithmetic with $ 84 $-bit numbers", journal = j-CACM, volume = "7", pages = "10--13", year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "68.00", MRnumber = "30\#2706", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }analysis", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xv + 328", year = "1964", LCCN = "QA297 .H4", bibdate = "Fri Aug 20 09:17:19 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Based on the author's lecture notes for a course entitled {\em Numerical Mathematical Analysis\/} at the University of California, Los Angeles. Cited in \cite{Sterbenz:1974:FPC}.", subject = "Numerical analysis", }th.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 09:17:19 MDTBased on the author's lecture notes for a course entitled em Numerical Mathematical Analysis at the University of California, Los Angeles. Cited in cite Sterbenz:1974:FPC.Numerical analysisack-nhfb @Book{Henrici:1964:ENA, author = "Peter Henrici", title = "Elements of numerical analysis", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xv + 328", year = "1964", LCCN = "QA297 .H4", bibdate = "Fri Aug 20 09:17:19 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Based on the author's lecture notes for a course entitled {\em Numerical Mathematical Analysis\/} at the University of California, Los Angeles. 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JacobsohnA Suggestion for a Fast Multiplierj-IEEE-TRANS-ELEC-COMPUTEC-136754--754dec121964IEECA8http://dx.doi.org/10.1109/PGEC.1964.2639420367-7508 OR 03677508Thu Jul 14 06:57:06 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparilpP #-'I'E%;c1OWbookfparith.bibHenrici:1964:ENAPeter HenriciElements of numerical analysispub-WILEYpub-WILEY:adrxv + 3281964QA297 .H4Fri Aug 20 09:17:19 MDT 2010http://www.ma Fast Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "6", pages = "754--754", month = dec, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263942", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:57:06 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038318", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }th.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:57:06 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038318IEEE Transactions on Electronic Computersack-nhfb @Article{Jacobsohn:1964:SFM, author = "D. Jacobsohn", title = "A Suggestion for a Fast Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "6", pages = "754--754", month = dec, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263942", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:57:06 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038318", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }nued fractions", publisher = "P. Noordhoff", address = "Groningen, The Netherlands", pages = "101", year = "1964", LCCN = "QA295 .K513 1964a", bibdate = "Fri Nov 30 06:55:53 MST 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", note = "Translated by Peter Wynn", URL = "http://www.loc.gov/catdir/description/dover032/97008056.html; http://www.loc.gov/catdir/toc/dover031/97008056.html", acknowledgement = ack-nhfb, author-dates = "1894--1959", }herlands1011964QA295 .K513 1964aFri Nov 30 06:55:53 MST 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2007.11.30 06:55:53 MSTTranslated by Peter Wynnhttp://www.loc.gov/catdir/description/dover032/97008056.html; http://www.loc.gov/catdir/toc/dover031/97008056.htmlack-nhfb1894--1959 @Book{Khinchin:1964:CF, author = "Aleksandr Iakovlevich Khinchin", title = "Continued fractions", publisher = "P. Noordhoff", address = "Groningen, The Netherlands", pages = "101", year = "1964", LCCN = "QA295 .K513 1964a", bibdate = "Fri Nov 30 06:55:53 MST 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", note = "Translated by Peter Wynn", URL = "http://www.loc.gov/catdir/description/dover032/97008056.html; http://www.loc.gov/catdir/toc/dover031/97008056.html", acknowledgement = ack-nhfb, author-dates = "1894--1959", }t of the normalized floating point number notation on digital computers. ({Russian})", journal = "{\v{Z}}. Vy{\v{c}}isl. Mat. i Mat. Fiz.", volume = "4", pages = "192--194", year = "1964", MRclass = "68.00", MRnumber = "28\#4694", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, language = "Russian", } FF6sO #/)GC;m;yarticlefparith.bibKlokacev:1964:RNFI. V. KlokacevA refinement of the normalized floating point number notation on digital computers. 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Fiz.", volume = "4", pages = "192--194", year = "1964", MRclass = "68.00", MRnumber = "28\#4694", bibdate = "Fri Dec 8 08:24:14 1995", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, language = "Russian", }zed Multiplier and Divider and Its Applications", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "3", pages = "288--295", month = jun, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263919", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:57:00 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038157", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }etranscomput.bib2011.07.14 06:57:00 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038157IEEE Transactions on Electronic Computersack-nhfb @Article{Kundu:1964:TMD, author = "P. Kundu and S. Banerji", title = "Transistorized Multiplier and Divider and Its Applications", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "3", pages = "288--295", month = jun, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263919", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:57:00 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038157", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } t.t.uP #++}=a7E;_Aarticlefparith.bibLamson:1964:DADRoger C. LamsonA Division Algorithm for a Digital Differential Analyzerj-IEEE-TRANS-ELEC-COMPUTEC-13154--55feb21964IEECA8http://dx.doi.org/10.1109/PGEC.1964.2638380367-7508 OR 03677508Thu Jul 14 06:56:57 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/FtQ#);=a7E;_Warticlefparith.bibKundu:1964:TMDP. Kundu and S. BanerjiTransistorized Multiplier and Divider and Its Applicationsj-IEEE-TRANS-ELEC-COMPUTEC-133288--295jun61964IEECA8http://dx.doi.org/10.1109/PGEC.1964.2639190367-7508 OR 03677508Thu Jul 14 06:57:00 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieehm for a Digital Differential Analyzer", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "1", pages = "54--55", month = feb, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263838", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:57 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038079", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }tex/bib/ieeetranscomput.bib2011.07.14 06:56:57 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038079IEEE Transactions on Electronic Computersack-nhfb @Article{Lamson:1964:DAD, author = "Roger C. Lamson", title = "A Division Algorithm for a Digital Differential Analyzer", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "1", pages = "54--55", month = feb, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263838", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:57 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038079", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }r in the Method of Successive Over-Relaxation", journal = j-MATH-COMPUT, volume = "18", number = "85", pages = "36--49", month = jan, year = "1964", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", }TH-COMPUT188536--49jan11964MCMPAF0025-5718 (print), 1088-6842 (electronic) OR 00255718 (print), 10886842 (electronic)0025-5718 OR 00255718Tue Oct 13 08:06:19 MDT 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database1998.10.13 08:06:19 MDTMathematics of Computationack-nhfbhttp://www.ams.org/mcom/ @Article{Lynn:1964:REM, author = "M. Stuart Lynn", title = "On the Round-Off Error in the Method of Successive Over-Relaxation", journal = j-MATH-COMPUT, volume = "18", number = "85", pages = "36--49", month = jan, year = "1964", CODEN = "MCMPAF", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Tue Oct 13 08:06:19 MDT 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; JSTOR database", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", } 3CXyR #-)=97EU;__ articlefparith.bibMerrill:1964:IDCRoy D. MerrillImproving Digital Computer Performance Using Residue Number Theoryj-IEEE-TRANS-ELEC-COMPUTEC-13293--101apr41964IEECA8http://dx.doi.org/10.1109/PGEC.1964.263777; http://dx.doi.org/10.1109/PGEC.1964.2637760367-7508 OR 03677uxP#1[;'Em;%Mbookfparith.bibMcCracken:1964:NMFDanie wO#)S=!%E%;c/ESbookfparith.bibMaley:AvQ #')'57E ;A=articlefparith.bibLynn:1964:REMM. Stuart LynnOn the Round-Off Error in the Method of Successive Over-Relaxationj-MAdern digital computers", publisher = pub-PH, address = pub-PH:adr, pages = "xiv + 216", year = "1964", LCCN = "QA76.5 .M192", bibdate = "Thu Nov 18 10:04:00 MST 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "Prentice-Hall electrical engineering series", acknowledgement = ack-nhfb, keywords = "binary arithmetic", subject = "Electronic digital computers", }1964:MDCGerald A. Maley and Edward J. SkikoModern digital computerspub-PHpub-PH:adrxiv + 2161964QA76.5 .M192Thu Nov 18 10:04:00 MST 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.11.18 10:04:00 MSTPrentice-Hall electrical engineering seriesbinary arithmeticElectronic digital computersack-nhfb @Book{Maley:1964:MDC, author = "Gerald A. Maley and Edward J. Skiko", title = "Modern digital computers", publisher = pub-PH, address = pub-PH:adr, pages = "xiv + 216", year = "1964", LCCN = "QA76.5 .M192", bibdate = "Thu Nov 18 10:04:00 MST 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "Prentice-Hall electrical engineering series", acknowledgement = ack-nhfb, keywords = "binary arithmetic", subject = "Electronic digital computers", } "Numerical methods and {FORTRAN} programming, with applications in engineering and science", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xii + 457", year = "1964", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Numerical analysis --- Data processing.; {Fortran} (Computer program language)", remark = "Cited in \cite{Sterbenz:1974:FPC}.", }l D. McCracken and William S. DornNumerical methods and FORTRAN programming, with applications in engineering and sciencepub-WILEYpub-WILEY:adrxii + 4571964Sat Jan 27 13:40:57 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.01.27 13:40:57 MSTNumerical analysis --- Data processing.; Fortran (Computer program language)Cited in cite Sterbenz:1974:FPC.ack-nhfb @Book{McCracken:1964:NMF, author = "Daniel D. McCracken and William S. Dorn", title = "Numerical methods and {FORTRAN} programming, with applications in engineering and science", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xii + 457", year = "1964", bibdate = "Sat Jan 27 13:40:57 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Numerical analysis --- Data processing.; {Fortran} (Computer program language)", remark = "Cited in \cite{Sterbenz:1974:FPC}.", }Computer Performance Using Residue Number Theory", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "2", pages = "93--101", month = apr, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263777; http://dx.doi.org/10.1109/PGEC.1964.263776", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:58 MDT 2011", bibsource = "http://ieeexplore.ieee.org/; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038105; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4038099", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", keywords = "residue arithmetic; residue number system", summary = "Residue arithmetic has the interesting characteristic that in multiplication, addition and subtraction any digit in the result is dependent only on its two corresponding operand digits. Consequently, for these operations, residue arithmetic is \ldots{}", } 508Thu Jul 14 06:56:58 MDT 2011http://ieeexplore.ieee.org/; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:56:58 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038105; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4038099IEEE Transactions on Electronic Computersresidue arithmetic; residue number systemack-nhfb @Article{Merrill:1964:IDC, author = "Roy D. Merrill", title = "Improving Digital Computer Performance Using Residue Number Theory", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "2", pages = "93--101", month = apr, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263777; http://dx.doi.org/10.1109/PGEC.1964.263776", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:58 MDT 2011", bibsource = "http://ieeexplore.ieee.org/; http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038105; http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=4037753; http://ieeexplore.ieee.org/xpl/tocresult.jsp?isnumber=4038099", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", keywords = "residue arithmetic; residue number system", summary = "Residue arithmetic has the interesting characteristic that in multiplication, addition and subtraction any digit in the result is dependent only on its two corresponding operand digits. Consequently, for these operations, residue arithmetic is \ldots{}", }ficant-digit'' arithmetic", journal = j-CACM, volume = "7", number = "1", pages = "21--21", month = jan, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Oct 24 09:33:00 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Different methods of handling the summing process for the geometric series are shown to give results indicating widely differing significances when carried out in a machine incorporating ``significant-digit'' arithmetic.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", remark = "Cited in \cite{Sterbenz:1974:FPC}.", }or = "R. H. Miller", title = "An example in ``significant-digit'' arithmetic", journal = j-CACM, volume = "7", number = "1", pages = "21--21", month = jan, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Mon Oct 24 09:33:00 MDT 2005", bibsource = "http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Different methods of handling the summing process for the geometric series are shown to give results indicating widely differing significances when carried out in a machine incorporating ``significant-digit'' arithmetic.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", remark = "Cited in \cite{Sterbenz:1974:FPC}.", } zQ #+%i57E;E?McGarticlefparith.bibMiller:1964:ESDR. H. MillerAn example in ``significant-digit'' arithmeticj-CACM7121--21jan11964CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Mon Oct 24 09:33:00 MDT 2005http://portal.acm.org/; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.10.24 09:33:00 MDTDifferent methods of handling the summing process for the geometric series are shown to give results indicating widely differing significances when carried out in a machine incorporating ``significant-digit'' arithmetic.Communications of the ACMCited in cite Sterbenz:1974:FPC.ack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Miller:1964:ESD, authrding digital counter with floating point output format", type = "Thesis ({M.S.})", school = "University of Maryland", address = "College Park, MD, USA", pages = "155", year = "1964", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, } ]{O '#';'97Em;gmastersthesisfparith.bibMoss:1964:RDCGeorge Joseph Moss, Jr.Recording digital counter with floating point output formatThesis (M.S.)University of MarylandCollege Park, MD, USA1551964Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTack-nhfb @MastersThesis{Moss:1964:RDC, author = "George Joseph {Moss, Jr.}", title = "Recording digital counter with floating point output format", type = "Thesis ({M.S.})", school = "University of Maryland", address = "College Park, MD, USA", pages = "155", year = "1964", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }ions", volume = "1", publisher = pub-AW, address = pub-AW:adr, pages = "various", year = "1964", LCCN = "QA221 .R5 V.1-2", bibdate = "Fri Dec 08 13:02:52 1995", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, } 2|O #'%I!+=K;Ibookfparith.bibRice:1964:AFVJohn R. RiceThe Approximation of Functions1pub-AWpub-AW:adrvarious1964QA221 .R5 V.1-2Fri Dec 08 13:02:52 1995ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1995.12.08 13:02:52 ???ack-nj @Book{Rice:1964:AFV, author = "John R. Rice", title = "The Approximation of Functions", volume = "1", publisher = pub-AW, address = pub-AW:adr, pages = "various", year = "1964", LCCN = "QA221 .R5 V.1-2", bibdate = "Fri Dec 08 13:02:52 1995", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, }s Base $2$ Synchronous Arithmetic Units", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "5", pages = "608--609", month = oct, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263734", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:57:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038256", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } ((oI#n] @O @Article{Trichina:2001:SAM, author = "Elena Trichina and Alex Tiountchik", title = 7:N @Article{Tricker:1990:ERP, author = "A. 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Arango", title = "Base $3$ vs Base $2$ Synchronous Arithmetic Units", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "5", pages = "608--609", month = oct, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263734", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:57:04 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038256", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } OP P '#'/'15Em;7mastersthesisfparith.bis~Q #)#57;K;?cIarticlefparith.bibStein:1964:DCMM. L. SteinDivide-and-Correct Methods for Multiple Precision Divisionj-CACM78472--474aug81964CACMA20001-0782 (print), 1557-7317 (elec%}P#+;o=a7E;_%articlefparith.bibSantos:1964:BVBJ. Santos and H. ArangoBase $3$ vs Base $2$ Synchronous Arithmetic Unitsj-IEEE-TRANS-ELEC-COMPUTEC-135608--609oct101964IEECA8http://dx.doi.org/10.1109/PGEC.1964.2637340367-7508 OR 03677508Thu Jul 14 06:57:04 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.mathods for Multiple Precision Division", journal = j-CACM, volume = "7", number = "8", pages = "472--474", month = aug, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:08 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }tronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 1 10:15:08 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:08 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Stein:1964:DCM, author = "M. L. Stein", title = "Divide-and-Correct Methods for Multiple Precision Division", journal = j-CACM, volume = "7", number = "8", pages = "472--474", month = aug, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:08 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }loating point arithmetic with the residue number system", type = "Thesis ({M.S.})", school = "UCLA - Engineering", address = "Los Angeles, CA, USA", pages = "89", year = "1964", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Congruences and residues.; Electronic digital computers --- Programming.", }bSweo:1964:SFPDavid Ernest SweoA study of floating point arithmetic with the residue number systemThesis (M.S.)UCLA - EngineeringLos Angeles, CA, USA891964Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTCongruences and residues.; Electronic digital computers --- Programming.ack-nhfb @MastersThesis{Sweo:1964:SFP, author = "David Ernest Sweo", title = "A study of floating point arithmetic with the residue number system", type = "Thesis ({M.S.})", school = "UCLA - Engineering", address = "Los Angeles, CA, USA", pages = "89", year = "1964", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Congruences and residues.; Electronic digital computers --- Programming.", }Fast Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "1", pages = "14--17", month = feb, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263830", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:56 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038071", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }arith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:56:56 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038071IEEE Transactions on Electronic Computersack-nhfb @Article{Wallace:1964:SFM, author = "C. S. Wallace", title = "A Suggestion for a Fast Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-13", number = "1", pages = "14--17", month = feb, year = "1964", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1964.263830", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:56:56 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038071", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } Q#3Q]3!5751={;KOc!warticlefparith.bibAs#QO #)#_57=m;?carticlefparith.bibWolfe!oP #-'Q=a7E;_qarticlefparith.bibWallace:1964:SFMC. S. WallaceA Suggestion for a Fast Multiplierj-IEEE-TRANS-ELEC-COMPUTEC-13114--17feb21964IEECA8http://dx.doi.org/10.1109/PGEC.1964.2638300367-7508 OR 03677508Thu Jul 14 06:56:56 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fpors by Programming", journal = j-CACM, volume = "7", number = "6", pages = "355--356", month = jun, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 00:17:16 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }:1964:RTEJ. M. WolfeReducing Truncation Errors by Programmingj-CACM76355--356jun61964CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 08 00:17:16 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.08 00:17:16 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Wolfe:1964:RTE, author = "J. M. Wolfe", title = "Reducing Truncation Errors by Programming", journal = j-CACM, volume = "7", number = "6", pages = "355--356", month = jun, year = "1964", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 08 00:17:16 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }volume = "72", number = "2 (Part 2)", pages = "47--58", year = "1965", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "65.80", MRnumber = "MR0192671 (33 \#896)", MRreviewer = "James H. Wilkinson", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in Department of Economics, Graduate School of Business, University of Chicago, Center for Mathematical Studies in Business and Economics, number 45.", ZMnumber = "0216.49602", acknowledgement = ack-jr, fjournal = "The American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", keywords = "error estimation; floating-point arithmetic", }$henhurst:1965:EECR. L. Ashenhurst and N. MetropolisError Estimation in Computer Calculationj-AMER-MATH-MONTHLY722 (Part 2)47--581965AMMYAE0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 0002989065.80MR0192671 (33 \#896)James H. WilkinsonFri Jan 12 11:37:56 1996http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.01.12 11:37:56 ???Reprinted in Department of Economics, Graduate School of Business, University of Chicago, Center for Mathematical Studies in Business and Economics, number 45.The American Mathematical Monthlyerror estimation; floating-point arithmetic0216.49602ack-jrhttp://www.jstor.org/page/journal/amermathmont/about.html @Article{Ashenhurst:1965:EEC, author = "R. L. Ashenhurst and N. Metropolis", title = "Error Estimation in Computer Calculation", journal = j-AMER-MATH-MONTHLY, volume = "72", number = "2 (Part 2)", pages = "47--58", year = "1965", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "65.80", MRnumber = "MR0192671 (33 \#896)", MRreviewer = "James H. Wilkinson", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/m/metropolis-nicholas.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in Department of Economics, Graduate School of Business, University of Chicago, Center for Mathematical Studies in Business and Economics, number 45.", ZMnumber = "0216.49602", acknowledgement = ack-jr, fjournal = "The American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", keywords = "error estimation; floating-point arithmetic", }all", booktitle = "Error in digital computation", title = "Experimental investigation of unnormalized arithmetic", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "3--37", year = "1965", bibdate = "Thu Nov 8 14:49:59 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARI FLP", } +rL&+E @Manual{Cowlishaw:2007:DCL, author = "Mike Cowlishaw", title = "The {decNumber C}BtS' @Manual{Anonymous:1964:PPF, author = "Anonymous", title = "{PINT}: {Purdue} floatф A @Manual{Apple:1978:AIR, key = "Apple", title = "{Applesoft II} reference manua @Manual{AppleComputer:1977:ARM, author = "{Apple Computer, Inc}", title = "{APPLE kW @Manual{BellHowellCo:1978:BHF, author = "{Bell and Howell Co} and {Apple Computer, Inc}", Ȉ @Manual{Burroughs:1954:DH, author = "{Burroughs Corporation. ElectroData}", title = х# @Manual{Burroughs:1964:BBI, author = "{Burroughs Corporation}", title = "{Burroug3 @Manual{Cheng:1981:AAF, author = "Steven Cheng", title = "{Am9511A\slash Am9512} E @Manual{Cowlishaw:2006:DCL, author = "Mike Cowlishaw", title = "The {decNumber C}@ {{N '#3-!Ew';m;-#inproceedingsfparith.bibAshenhurst:1965:EIUR. L. AshenhurstL. B. RallError in digital computationExperimental investigation of unnormalized arithmeticpub-WILEYpub-WILEY:adr3--371965Thu Nov 8 14:49:59 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.11.08 14:49:59 ???ARI FLPack-nhfb @InProceedings{Ashenhurst:1965:EIU, author = "R. L. Ashenhurst", editor = "L. B. Rall", booktitle = "Error in digital computation", title = "Experimental investigation of unnormalized arithmetic", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "3--37", year = "1965", bibdate = "Thu Nov 8 14:49:59 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARI FLP", }all", booktitle = "Error in digital computation", title = "Techniques for automatic error monitoring and control", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "43--59", year = "1965", bibdate = "Tue Oct 9 09:42:56 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARI FLP", } yyN '#3-!Ew';m;/inproceedingsfparith.bibAshenhurst:1965:TAER. L. AshenhurstL. B. RallError in digital computationTechniques for automatic error monitoring and controlpub-WILEYpub-WILEY:adr43--591965Tue Oct 9 09:42:56 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib2007.10.09 09:42:56 ???ARI FLPack-nhfb @InProceedings{Ashenhurst:1965:TAE, author = "R. L. Ashenhurst", editor = "L. B. Rall", booktitle = "Error in digital computation", title = "Techniques for automatic error monitoring and control", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "43--59", year = "1965", bibdate = "Tue Oct 9 09:42:56 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "ARI FLP", }eal-Time Iterative Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "3", pages = "394--399", month = jun, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264145", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:33 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038457", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }//www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:26:33 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038457IEEE Transactions on Electronic Computersack-nhfb @Article{Atrubin:1965:ODR, author = "A. J. Atrubin", title = "A One-Dimensional Real-Time Iterative Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "3", pages = "394--399", month = jun, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264145", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:33 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038457", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } e%P #'!I57;K;?ckarticlefparith.bibBlum:1965:EAPB. I. BlumAn Extended Arithmetic Packagej-CACM85318--320m.P #-'m=a7E;_articlefparith.bibAtrubin:1965:ODRA. J. AtrubinA One-Dimensional Real-Time Iterative Multiplierj-IEEE-TRANS-ELEC-COMPUTEC-143394--399jun61965IEECA8http://dx.doi.org/10.1109/PGEC.1965.2641450367-7508 OR 03677508Thu Jul 14 06:26:33 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http:+ckage", journal = j-CACM, volume = "8", number = "5", pages = "318--320", month = may, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 8 08:20:53 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }ay51965CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 8 08:20:53 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.08 08:20:53 ???Communications of the ACMack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Blum:1965:EAP, author = "B. I. Blum", title = "An Extended Arithmetic Package", journal = j-CACM, volume = "8", number = "5", pages = "318--320", month = may, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 8 08:20:53 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", }tle = "Computation of the Base Two Logarithm of Binary Numbers", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "6", pages = "863--867", month = dec, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264080", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:41 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038605", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }7.14 06:26:41 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038605IEEE Transactions on Electronic Computersack-nhfb @Article{Combet:1965:CBT, author = "M. Combet and H. {Van Zonneveld} and L. Verbeek", title = "Computation of the Base Two Logarithm of Binary Numbers", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "6", pages = "863--867", month = dec, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264080", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:41 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038605", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } pP#+g{=a7E;_articlefparith.bibCombet:1965:CBTM. Combet and H. Van Zonneveld and L. 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Morris Mano presented a method for performing Boolean OR, AND and NOT operations by means of arithmetic and conditional transfer operations in a decimal computer lacking builtin logical instructions.", acknowledgement = ack-nhfb, checked = "19940407", fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "Boolean operations; decimal arithmetic", sjb = "Commenting on \cite{Mano:1965:PSB}.", } ..u&o(Q @Article{Brent:1970:ABN, author = "R. Brent", title = "On the Addition of Binary xJ @Article{Brent:1973:PAV, author = "Richard P. Brent", title = "On the Precision Au @Article{Brent:1973:PEA, author = "R. Brent and D. Kuck and K. Maruyama", title = x)S @Article{Brent:1974:FEP, author = "Barry Brent", title = "Functional Equations wicI @Article{Brent:1976:FMP, author = "Richard P. 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MooreThe automatic analysis and control of error in digital computing based on the use of intervall coordinate transformations to reduce the growth of error bounds in interval computation of solutions of ordinary differential equations", crossref = "Rall:1965:EDCb", chapter = "2", pages = "103--140", year = "1965", MRclass = "65.80 (65.60)", MRnumber = "MR0185839 (32 \#3299)", MRreviewer = "T. E. Hull", bibdate = "Thu Jun 20 10:51:40 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_in_Rall_V2.pdf", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }'0)MR0185839 (32 \#3299)T. E. HullThu Jun 20 10:51:40 2002http://www.math.utah.edu/pub/tex/bib/fparith.bib2002.06.20 10:51:40 ???http://interval.louisiana.edu/Moores_early_papers/Moore_in_Rall_V2.pdfCited in cite Sterbenz:1974:FPC.ack-nhfb @InCollection{Moore:1965:AACb, author = "Ramon E. 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Hull", bibdate = "Thu Jun 20 10:51:40 2002", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://interval.louisiana.edu/Moores_early_papers/Moore_in_Rall_V2.pdf", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }uting Certain Inverse Functions", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "10", number = "??", pages = "202--208", month = "????", year = "1965", CODEN = "MTTCAS", ISSN = "0891-6837", bibdate = "Thu Sep 1 10:16:10 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", }(od for Computing Certain Inverse Functionsj-MATH-TABLES-OTHER-AIDS-COMPUT10202--2081965MTTCAS0891-6837 OR 08916837Thu Sep 1 10:16:10 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:16:10 ???Mathematical Tables and Other Aids to Computationack-njhttp://www.ams.org/mcom/ @Article{Morrison:1965:MCC, author = "D. R. Morrison", title = "A Method for Computing Certain Inverse Functions", journal = j-MATH-TABLES-OTHER-AIDS-COMPUT, volume = "10", number = "??", pages = "202--208", month = "????", year = "1965", CODEN = "MTTCAS", ISSN = "0891-6837", bibdate = "Thu Sep 1 10:16:10 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Mathematical Tables and Other Aids to Computation", journal-URL = "http://www.ams.org/mcom/", }, journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "2", pages = "243--247", month = apr, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264250", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:22 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038406", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", })pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:26:22 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038406IEEE Transactions on Electronic Computersack-nhfb @Article{Nathan:1965:CM, author = "Amos Nathan", title = "The Cascade Multiplier", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "2", pages = "243--247", month = apr, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264250", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:22 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038406", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } =2=i+P #-+U+3E%;uM1MUbookfparith.bibRalston:1965:FCNAnthony RalstonA first course in numerical analysispub-MCGRAW-HILLpub-MCGRAW-HILL:adrxix + 5781965QA297 .R3Fri Aug 20 10:13:O*O #+'[57=m;1earticlefparith.bibPenneS)P #)#9=a7E;_Uarticlefparith.bibNathan:1965:CMAmos NathanThe Cascade Multiplierj-IEEE-TRANS-ELEC-COMPUTEC-142243--247apr41965IEECA8http://dx.doi.org/10.1109/PGEC.1965.2642500367-7508 OR 03677508Thu Jul 14 06:26:22 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/for Complex Numbers", journal = j-J-ACM, volume = "12", number = "2", pages = "247--248", month = apr, year = "1965", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Thu Nov 03 08:47:50 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }* gA& + @Article{Nielsen:1995:MFD, author = "Asger Munk Nielsen and Peter Kornerup", title = +// @Article{Nielsen:2000:ICF, author = "Asger Munk Nielsen and David W. Matula and Chung Nan 4{ @Article{Nievergelt:2003:SFM, author = "Yves Nievergelt", title = "Scalar fused m:A @Article{Nievergelt:2004:AAP, author = "Yves Nievergelt", title = "Analysis and a= 1c @Article{Nievergelt:2006:EPD, author = "Yves Nievergelt", title = "Extensions of Av!C @Article{Nikmehr:2006:FDF, author = "H. Nikmehr and B. Phillips and C.-C. Lim", title = Ayn] @Article{Nikmehr:2007:FRF, author = "Hooman Nikmehr and Braden Phillips and Cheng-Chew C{{w @Article{Nikolajsen:2013:FSD, author = "Jorgen L. Nikolajsen", title = "FractionaKb% @Article{Nikolos:1988:EDT, author = "D. Nikolos and A. M. Paschalis and G. Philokyprou", ,y:1965:BSCWalter PenneyA ``Binary'' System for Complex Numbersj-J-ACM122247--248apr41965JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Thu Nov 03 08:47:50 1994http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.11.03 08:47:50 ???Journal of the ACMack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Penney:1965:BSC, author = "Walter Penney", title = "A ``Binary'' System for Complex Numbers", journal = j-J-ACM, volume = "12", number = "2", pages = "247--248", month = apr, year = "1965", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Thu Nov 03 08:47:50 1994", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }merical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xix + 578", year = "1965", LCCN = "QA297 .R3", bibdate = "Fri Aug 20 10:13:32 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, remark = "See also second edition \cite{Ralston:1978:FCN,Ralston:2001:FCN}. Cited in \cite{Sterbenz:1974:FPC}.", subject = "Numerical analysis", }+32 MDT 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager2010.08.20 10:13:32 MDTInternational series in pure and applied mathematicsSee also second edition cite Ralston:1978:FCN,Ralston:2001:FCN. Cited in cite Sterbenz:1974:FPC.Numerical analysisack-nhfb @Book{Ralston:1965:FCN, author = "Anthony Ralston", title = "A first course in numerical analysis", publisher = pub-MCGRAW-HILL, address = pub-MCGRAW-HILL:adr, pages = "xix + 578", year = "1965", LCCN = "QA297 .R3", bibdate = "Fri Aug 20 10:13:32 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", series = "International series in pure and applied mathematics", acknowledgement = ack-nhfb, remark = "See also second edition \cite{Ralston:1978:FCN,Ralston:2001:FCN}. Cited in \cite{Sterbenz:1974:FPC}.", subject = "Numerical analysis", } "The Use of Analog Techniques in Binary Arithmetic Units", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "1", pages = "29--35", month = feb, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264051", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:20 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038346", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", },ut.bib2011.07.14 06:26:20 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038346IEEE Transactions on Electronic Computersack-nhfb @Article{Riordan:1965:UAT, author = "R. H. S. Riordan and R. R. A. Morton", title = "The Use of Analog Techniques in Binary Arithmetic Units", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "1", pages = "29--35", month = feb, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264051", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:20 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038346", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } Z-Q #'!{57=a;?Oc5articlefparith.bibRoss:1965:RTED. R. RossReducing Truncation Errors Using Cascading Accumulatorsj-CACM8132--33jan11965CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Sun Sep 18 22:55:00 1994ftp://ftp.ira.uka.dY,P#-U{=a7E;_karticlefparith.bibRiordan:1965:UATR. H. S. Riordan and R. R. A. MortonThe Use of Analog Techniques in Binary Arithmetic Unitsj-IEEE-TRANS-ELEC-COMPUTEC-14129--35feb21965IEECA8http://dx.doi.org/10.1109/PGEC.1965.2640510367-7508 OR 03677508Thu Jul 14 06:26:20 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomps Using Cascading Accumulators", journal = j-CACM, volume = "8", number = "1", pages = "32--33", month = jan, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Sun Sep 18 22:55:00 1994", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/bevan.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "When accumulating a large number of quantities as in numerical integration, the sum itself may become much larger than the individual addends. This results in truncation error. Much of this error can be eliminated using cascading accumulators as noted in a recent article by Wolfe. A simpler and slightly more flexible algorithm is presented which deals also with the case of negative addends.", acknowledgement = ack-nhfb, checked = "19940304", fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "accurate floating-point summation", sjb = "Refers to \cite{Wolfe:cacm:196,Wilhelm:1977:GMPb}.", }-e/pub/bibliography/Compiler/bevan.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.18 22:55:00 ???When accumulating a large number of quantities as in numerical integration, the sum itself may become much larger than the individual addends. This results in truncation error. Much of this error can be eliminated using cascading accumulators as noted in a recent article by Wolfe. A simpler and slightly more flexible algorithm is presented which deals also with the case of negative addends.Communications of the ACMaccurate floating-point summationack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Ross:1965:RTE, author = "D. R. Ross", title = "Reducing Truncation Errors Using Cascading Accumulators", journal = j-CACM, volume = "8", number = "1", pages = "32--33", month = jan, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Sun Sep 18 22:55:00 1994", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Compiler/bevan.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "When accumulating a large number of quantities as in numerical integration, the sum itself may become much larger than the individual addends. This results in truncation error. Much of this error can be eliminated using cascading accumulators as noted in a recent article by Wolfe. A simpler and slightly more flexible algorithm is presented which deals also with the case of negative addends.", acknowledgement = ack-nhfb, checked = "19940304", fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "accurate floating-point summation", sjb = "Refers to \cite{Wolfe:cacm:196,Wilhelm:1977:GMPb}.", }ms for $ \ln x $, $ \exp x $, $ \sin x $, $ \cos x $, $ \tan^{-1} x $, and $ \cot^{-1} x $", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "1", pages = "85--86", month = feb, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264066", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:21 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038361", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }.eee.org/stamp/stamp.jsp?tp=&arnumber=4038361IEEE Transactions on Electronic Computersack-nhfb @Article{Specker:1965:CAL, author = "W. H. Specker", title = "A Class of Algorithms for $ \ln x $, $ \exp x $, $ \sin x $, $ \cos x $, $ \tan^{-1} x $, and $ \cot^{-1} x $", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-14", number = "1", pages = "85--86", month = feb, year = "1965", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1965.264066", ISSN = "0367-7508", bibdate = "Thu Jul 14 06:26:21 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038361", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } .Q #-'W=a7E;_Karticlefparith.bibSpecker:1965:CALW. H. SpeckerA Class of Algorithms for $ ln x $, $ exp x $, $ sin x $, $ cos x $, $ tan ^-1 x $, and $ cot ^-1 x $j-IEEE-TRANS-ELEC-COMPUTEC-14185--86feb21965IEECA8http://dx.doi.org/10.1109/PGEC.1965.2640660367-7508 OR 03677508Thu Jul 14 06:26:21 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 06:26:21 MDThttp://ieeexplore.i the {Editor}: On the Double-Precision Square Root Routine", journal = j-CACM, volume = "8", number = "4", pages = "202", month = apr, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Aug 31 14:02:19 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions; floating-point arithmetic", }/; elementary functions; floating-point arithmeticack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Swarztrauber:1965:LED, author = "P. N. Swarztrauber", title = "Letter to the {Editor}: On the Double-Precision Square Root Routine", journal = j-CACM, volume = "8", number = "4", pages = "202", month = apr, year = "1965", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Wed Aug 31 14:02:19 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions; floating-point arithmetic", } 0P #-'Y#7=K;y3iarticlefparith.bibSweeney:1965:AFPD. W. SweeneyAn analysis of floating-point additionj-IBM-SYS-J4131--421965IBMSA70018-8670 OR 00188670Thu Sep 15 18:42:42 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.15 18:42:42 ???Reprinted in cite [pp.~317--328]Swartzlander:1990:CAa.http://./R #7157=1;?c=articlefparith.bibSwarztrauber:1965:LEDP. N. SwarztrauberLetter to the Editor: On the Double-Precision Square Root Routinej-CACM84202apr41965CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Wed Aug 31 14:02:19 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.08.31 14:02:19 ???Communications of the ACM$sqrt (x)$ting-point addition", journal = j-IBM-SYS-J, volume = "4", number = "1", pages = "31--42", year = "1965", CODEN = "IBMSA7", ISSN = "0018-8670", bibdate = "Thu Sep 15 18:42:42 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Reprinted in \cite[pp.~317--328]{Swartzlander:1990:CAa}.", URL = "http://www.research.ibm.com/journal/sj/041/ibmsjIVRID.pdf", acknowledgement = ack-nj # "\slash " # ack-nhfb, fjournal = "IBM Systems Journal", remark = "Page 34, containing a critical table, is missing from the PDF file.", xxmonth = "(none)", }0www.research.ibm.com/journal/sj/041/ibmsjIVRID.pdfIBM Systems JournalPage 34, containing a critical table, is missing from the PDF file.ack-nj @Article{Sweeney:1965:AFP, author = "D. 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Santos", title = "A Fast Carry-Propagation Circuit for Base $3$ Signed Non redundant Arithmetic", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-15", number = "2", pages = "254--255", month = apr, year = "1966", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1966.264311", ISSN = "0367-7508", bibdate = "Thu Jul 14 05:46:31 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038725", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }e = "The main features of {Atlas Autocode}", journal = j-COMP-J, volume = "8", number = "4", pages = "303--310", month = jan, year = "1966", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:56:10 MDT 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/", note = "See comment \cite{Clark:1966:CMP}.", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/080303.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/303.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/304.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/305.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/306.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/307.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/308.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/309.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/310.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", }3/Volume_08/Issue_04/tiff/306.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/307.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/308.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/309.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/310.tifThe Computer Journalack-nhfbhttp://comjnl.oxfordjournals.org/ @Article{Brooker:1966:MFA, author = "R. A. Brooker and J. S. Rohl and S. R. Clark", title = "The main features of {Atlas Autocode}", journal = j-COMP-J, volume = "8", number = "4", pages = "303--310", month = jan, year = "1966", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:56:10 MDT 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/", note = "See comment \cite{Clark:1966:CMP}.", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/080303.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/303.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/304.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/305.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/306.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/307.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/308.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/309.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/310.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } 4N '#);}EK)Em;{9mastersthesisfparith.bibCi3Q#-eS57Em;Mo5Ocarticlefparith.bibBrooker:1966:MFAR. A. Brooker and J. S. Rohl and S. R. ClarkThe main features of Atlas Autocodej-COMP-J84303--310jan11966CMPJA60010-4620 (print), 1460-2067 (electronic) OR 00104620 (print), 14602067 (electronic)0010-4620 OR 00104620Fri Sep 29 08:56:10 MDT 2000http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/2000.09.29 08:56:10 MDTSee comment cite Clark:1966:CMP.http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/080303.sgm.abs.html; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/303.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/304.tif; http://www3.oup.co.uk/computer_journal/hdb/Volume_08/Issue_04/tiff/305.tif; http://www3.oup.co.uk/computer_journal/hdbn of a high rate floating point digital accumulator", type = "Thesis ({M.S. in Engineering})", school = "University of California, Davis", address = "Davis, CA, USA", pages = "60", year = "1966", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Dissertations, Academic --- California --- Engineering.", }4hang:1966:DHRHenry Kwan-cheung ChangDesign of a high rate floating point digital accumulatorThesis (M.S. in Engineering)University of California, DavisDavis, CA, USA601966Sat Feb 24 15:01:45 MST 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.02.24 15:01:45 MSTDissertations, Academic --- California --- Engineering.ack-nhfb @MastersThesis{Chang:1966:DHR, author = "Henry Kwan-cheung Chang", title = "Design of a high rate floating point digital accumulator", type = "Thesis ({M.S. in Engineering})", school = "University of California, Davis", address = "Davis, CA, USA", pages = "60", year = "1966", bibdate = "Sat Feb 24 15:01:45 MST 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, keywords = "Dissertations, Academic --- California --- Engineering.", }rolled Precision Calculations", journal = j-J-ACM, volume = "13", number = "3", pages = "386--403", month = jul, year = "1966", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 28 16:23:06 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Recent developments in computer design and error analysis have made feasible the use of variable precision arithmetic and the preparation of programs that automatically determine their own precision requirements. Such programs enable the user to specify the accuracy he wants, and yield answers guaranteed to lie within the bounds prescribed. A class of such programs, called ``contracting error programs'', is defined in which the precision is determined by prescribing error bounds on the data. A variant of interval arithmetic is defined which enables a limited class of algorithms to be programmed as contracting error programs. A contracting error program for the solution of simultaneous linear equations is described, demonstrating the application of the idea to a wider class of problems.", acknowledgement = ack-mfc # " and " # ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", }5d class of algorithms to be programmed as contracting error programs. A contracting error program for the solution of simultaneous linear equations is described, demonstrating the application of the idea to a wider class of problems.Journal of the ACMack-mfchttp://portal.acm.org/browse_dl.cfm?idx=J401 @Article{Chartres:1966:ACP, author = "Bruce A. Chartres", title = "Automatic Controlled Precision Calculations", journal = j-J-ACM, volume = "13", number = "3", pages = "386--403", month = jul, year = "1966", CODEN = "JACOAH", ISSN = "0004-5411 (print), 1557-735X (electronic)", ISSN-L = "0004-5411", bibdate = "Fri Nov 28 16:23:06 2003", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Recent developments in computer design and error analysis have made feasible the use of variable precision arithmetic and the preparation of programs that automatically determine their own precision requirements. Such programs enable the user to specify the accuracy he wants, and yield answers guaranteed to lie within the bounds prescribed. A class of such programs, called ``contracting error programs'', is defined in which the precision is determined by prescribing error bounds on the data. A variant of interval arithmetic is defined which enables a limited class of algorithms to be programmed as contracting error programs. A contracting error program for the solution of simultaneous linear equations is described, demonstrating the application of the idea to a wider class of problems.", acknowledgement = ack-mfc # " and " # ack-nhfb, fjournal = "Journal of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J401", } --C5P #//c57=m;E1e!articlefparith.bibChartres:1966:ACPBruce A. ChartresAutomatic Controlled Precision Calculationsj-J-ACM133386--403jul71966JACOAH0004-5411 (print), 1557-735X (electronic) OR 00045411 (print), 1557735X (electronic)0004-5411 OR 00045411Fri Nov 28 16:23:06 2003http://www.math.utah.edu/pub/tex/bib/fparith.bib2003.11.28 16:23:06 ???Recent developments in computer design and error analysis have made feasible the use of variable precision arithmetic and the preparation of programs that automatically determine their own precision requirements. Such programs enable the user to specify the accuracy he wants, and yield answers guaranteed to lie within the bounds prescribed. A class of such programs, called ``contracting error programs'', is defined in which the precision is determined by prescribing error bounds on the data. A variant of interval arithmetic is defined which enables a limitepondence: Multiple precision arithmetic (real and complex)", journal = j-COMP-J, volume = "9", number = "2", pages = "174--174", month = aug, year = "1966", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:56:14 MDT 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_02/", note = "See \cite{Brooker:1966:MFA}.", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_02/tiff/174.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", }6ter_journal/hdb/Volume_09/Issue_02/tiff/174.tifThe Computer Journalack-nhfbhttp://comjnl.oxfordjournals.org/ @Article{Clark:1966:CMP, author = "S. R. Clark and W. F. Lunnon", title = "Correspondence: Multiple precision arithmetic (real and complex)", journal = j-COMP-J, volume = "9", number = "2", pages = "174--174", month = aug, year = "1966", CODEN = "CMPJA6", ISSN = "0010-4620 (print), 1460-2067 (electronic)", ISSN-L = "0010-4620", bibdate = "Fri Sep 29 08:56:14 MDT 2000", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_02/", note = "See \cite{Brooker:1966:MFA}.", URL = "http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_02/tiff/174.tif", acknowledgement = ack-nhfb, fjournal = "The Computer Journal", journal-URL = "http://comjnl.oxfordjournals.org/", } JJr7Q #'!57;K;?cc_articlefparith.bibFike:1966:SASC. T. FikeStarting Approximations for Square Root Calculation on IBM System/360j-CACM94297--299apr41966CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Thu Sep 1 10:15:43 1994ftp://garbo.uwasa.fi/pc/Ì,6R #)E 57Em;A!5O-articlefparith.bibClark:1966:CMPS. R. Clark and W. F. LunnonCorrespondence: Multiple precision arithmetic (real and complex)j-COMP-J92174--174aug81966CMPJA60010-4620 (print), 1460-2067 (electronic) OR 00104620 (print), 14602067 (electronic)0010-4620 OR 00104620Fri Sep 29 08:56:14 MDT 2000http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www3.oup.co.uk/computer_journal/hdb/Volume_09/Issue_02/2000.09.29 08:56:14 MDTSee cite Brooker:1966:MFA.http://www3.oup.co.uk/compuor Square Root Calculation on {IBM} System/360", journal = j-CACM, volume = "9", number = "4", pages = "297--299", month = apr, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:43 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions; IBM S/360", }7doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.01 10:15:43 ???Communications of the ACM$sqrt (x)$; elementary functions; IBM S/360ack-njhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Fike:1966:SAS, author = "C. 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Fike", title = "Starting Approximations for Square Root Calculation on {IBM} System/360", journal = j-CACM, volume = "9", number = "4", pages = "297--299", month = apr, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Thu Sep 1 10:15:43 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "$\sqrt(x)$; elementary functions; IBM S/360", }r elementarer transzendenter Funktionen mit Hilfe des Richardson-Algorithmus} \toenglish {The Computation of Some Elementary Transcendental Functions by Means of the Richardson Algorithm} \endtoenglish", journal = j-COMPUTING, volume = "1", number = "??", pages = "127--132", month = "????", year = "1966", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Fri Sep 16 16:30:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Computing: Archiv f{\"u}r informatik und numerik", journal-URL = "http://link.springer.com/journal/607", }8kack-njhttp://link.springer.com/journal/607 @Article{Filippi:1966:BEE, author = "S. Filippi", title = "{Die Berechnung einiger elementarer transzendenter Funktionen mit Hilfe des Richardson-Algorithmus} \toenglish {The Computation of Some Elementary Transcendental Functions by Means of the Richardson Algorithm} \endtoenglish", journal = j-COMPUTING, volume = "1", number = "??", pages = "127--132", month = "????", year = "1966", CODEN = "CMPTA2", ISSN = "0010-485X (print), 1436-5057 (electronic)", ISSN-L = "0010-485X", bibdate = "Fri Sep 16 16:30:40 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "Computing: Archiv f{\"u}r informatik und numerik", journal-URL = "http://link.springer.com/journal/607", } ``8Q #-!A#57=K;eU/articlefparith.bibFilippi:1966:BEES. FilippiDie Berechnung einiger elementarer transzendenter Funktionen mit Hilfe des Richardson-Algorithmus toenglish The Computation of Some Elementary Transcendental Functions by Means of the Richardson Algorithm endtoenglish j-COMPUTING1127--1321966CMPTA20010-485X (print), 1436-5057 (electronic) OR 0010485X (print), 14365057 (electronic)0010-485X OR 0010485XFri Sep 16 16:30:40 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.16 16:30:40 ???Computing: Archiv fur informatik und numeriity that a Random Integer Has Initial Digit `{A}'", journal = j-AMER-MATH-MONTHLY, volume = "73", number = "??", pages = "1056--1061", year = "1966", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Feb 14 18:53:58 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", remark = "Probably November or December issue; missing from amermathmonthly1960.bib.", }9x/bib/fparith.bib2007.02.14 18:53:58 ???American Mathematical MonthlyProbably November or December issue; missing from amermathmonthly1960.bib.ack-nhfbhttp://www.jstor.org/page/journal/amermathmont/about.html @Article{Flehinger:1966:PRI, author = "B. J. Flehinger", title = "On the Probability that a Random Integer Has Initial Digit `{A}'", journal = j-AMER-MATH-MONTHLY, volume = "73", number = "??", pages = "1056--1061", year = "1966", CODEN = "AMMYAE", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", bibdate = "Wed Feb 14 18:53:58 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/page/journal/amermathmont/about.html", remark = "Probably November or December issue; missing from amermathmonthly1960.bib.", } l~:P #+-W=a7E;_articlefparith.bibGarner:1966:ECAHarvey L. GarnerError Codes for Arithmetic Operationsj-IEEE-TRANS-ELEC-COMPUTEC-155763--770oct101966IEECA8http://dx.doi.org/10.1109/PGEC.1966.2645660367-7508 OR 03677508Thu Jul 14 05:46:38 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bˋ9Q #1+ 3!57=m;G!earticlefparith.bibFlehinger:1966:PRIB. J. FlehingerOn the Probability that a Random Integer Has Initial Digit `A'j-AMER-MATH-MONTHLY731056--10611966AMMYAE0002-9890 (print), 1930-0972 (electronic) OR 00029890 (print), 19300972 (electronic)0002-9890 OR 00029890Wed Feb 14 18:53:58 2007http://www.math.utah.edu/pub/terithmetic Operations", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-15", number = "5", pages = "763--770", month = oct, year = "1966", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1966.264566", ISSN = "0367-7508", bibdate = "Thu Jul 14 05:46:38 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038884", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }:ib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 05:46:38 MDThttp://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038884IEEE Transactions on Electronic Computersack-nhfb @Article{Garner:1966:ECA, author = "Harvey L. Garner", title = "Error Codes for Arithmetic Operations", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-15", number = "5", pages = "763--770", month = oct, year = "1966", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1966.264566", ISSN = "0367-7508", bibdate = "Thu Jul 14 05:46:38 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038884", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", }f the Arithmetic Unit of a Fixed-Word-Length Computer from the Standpoint of Computational Accuracy", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-15", number = "2", pages = "255--257", month = apr, year = "1966", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1966.264312", ISSN = "0367-7508", bibdate = "Thu Jul 14 05:46:31 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038726", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", };mp/stamp.jsp?tp=&arnumber=4038726IEEE Transactions on Electronic Computersack-nhfb @Article{Gregory:1966:DAU, author = "Robert T. Gregory", title = "On the Design of the Arithmetic Unit of a Fixed-Word-Length Computer from the Standpoint of Computational Accuracy", journal = j-IEEE-TRANS-ELEC-COMPUT, volume = "EC-15", number = "2", pages = "255--257", month = apr, year = "1966", CODEN = "IEECA8", DOI = "http://dx.doi.org/10.1109/PGEC.1966.264312", ISSN = "0367-7508", bibdate = "Thu Jul 14 05:46:31 MDT 2011", bibsource = "http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4038726", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Electronic Computers", } >;Q #-/q=a7E;_aarticlefparith.bibGregory:1966:DAURobert T. GregoryOn the Design of the Arithmetic Unit of a Fixed-Word-Length Computer from the Standpoint of Computational Accuracyj-IEEE-TRANS-ELEC-COMPUTEC-152255--257apr41966IEECA8http://dx.doi.org/10.1109/PGEC.1966.2643120367-7508 OR 03677508Thu Jul 14 05:46:31 MDT 2011http://www.computer.org/tc/; http://www.math.utah.edu/pub/tex/bib/fparith.bib; http://www.math.utah.edu/pub/tex/bib/ieeetranscomput.bib2011.07.14 05:46:31 MDThttp://ieeexplore.ieee.org/sta booktitle = "SHARE XXVII, Toronto, Canada, August 1966", title = "Idiosyncracies of {System\slash 360} Floating-Point", publisher = "????", address = "????", pages = "??--??", year = "1966", LCCN = "????", bibdate = "Wed Feb 14 19:04:14 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, }< I 25 18:20:07 MSTCommunications of the ACMfloating-point arithmetic; rounding errorsack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Henrici:1966:TPM, author = "Peter Henrici", title = "Test of probabilistic models for the propagation of roundoff errors", journal = j-CACM, volume = "9", number = "6", pages = "409--410", month = jun, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:20:07 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "floating-point arithmetic; rounding errors", } >Q #-'57E5;?ac{articlefparith.bibHenrici:1966:TPMPeter HenriciTest of probabilistic models for the propagation of roundoff errorsj-CACM96409--410jun61966CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:20:07 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.f Probabilistic Models for Propagation of Roundoff Errors", journal = j-CACM, volume = "9", number = "2", pages = "108--113", month = feb, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.80", MRnumber = "32\#3297", bibdate = "Fri Nov 25 18:20:04 MST 2005", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "In any prolonged computation it is generally assumed that the accumulated effect of roundoff errors is in some sense statistical. The purpose of this paper is to give precise descriptions of certain probabilistic models for roundoff error, and then to describe a series of experiments for testing the validity of these models. It is concluded that the models are in general very good. Discrepancies are both rare and mild. The test techniques can also be used to experiment with various types of special arithmetic.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic; rounding errors", }? ``:L&V- @Article{Granlund:1994:DII, author = "G @Article{Good:1978:CMA, author = "I. J. Good", title = "{C 24}. A method for avoi7={ @Article{Goodman:1975:REP, author = "R. Goodman and A. Feldstein", title = "Round O @Article{Goodman:1976:EGD, author = "R. Goodman and A. Feldstein", title = "Effec e7 @Article{Goodman:1976:REF, author = "Richard Goodman", title = "On round-off error in fixed-point multiplication", journal = j-BIT h @Article{Goodman:1977:EGD, author = "R. Goodman and A. Feldstein", title = "Effec @Article{Goodman:1978:ITD, author = "R. Goodman and J. Bustoz and A. Feldstein", title =: @Article{Goodman:1985:REF, author = "R. H. Goodman and A. Feldstein and J. Bustoz", titlƅti @Article{Goodman:1990:SMR, author = "R. H. Goodman", title = "Some Models of Relaodels. It is concluded that the models are in general very good. Discrepancies are both rare and mild. The test techniques can also be used to experiment with various types of special arithmetic.Communications of the ACMdecimal floating-point arithmetic; rounding errorsack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Hull:1966:TPM, author = "T. E. Hull and J. R. Swenson", title = "Tests of Probabilistic Models for Propagation of Roundoff Errors", journal = j-CACM, volume = "9", number = "2", pages = "108--113", month = feb, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", MRclass = "65.80", MRnumber = "32\#3297", bibdate = "Fri Nov 25 18:20:04 MST 2005", bibsource = "ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "In any prolonged computation it is generally assumed that the accumulated effect of roundoff errors is in some sense statistical. The purpose of this paper is to give precise descriptions of certain probabilistic models for roundoff error, and then to describe a series of experiments for testing the validity of these models. It is concluded that the models are in general very good. Discrepancies are both rare and mild. The test techniques can also be used to experiment with various types of special arithmetic.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "decimal floating-point arithmetic; rounding errors", } XX?R#'E 57E!;?qc{articlefparith.bibHull:1966:TPMT. E. Hull and J. R. SwensonTests of Probabilistic Models for Propagation of Roundoff Errorsj-CACM92108--113feb21966CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 0001078265.8032\#3297Fri Nov 25 18:20:04 MST 2005ftp://ftp.ira.uka.de/pub/bibliography/Theory/gvl.bib; http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:20:04 MSTIn any prolonged computation it is generally assumed that the accumulated effect of roundoff errors is in some sense statistical. The purpose of this paper is to give precise descriptions of certain probabilistic models for roundoff error, and then to describe a series of experiments for testing the validity of these munctional Characteristics", publisher = pub-IBM, address = pub-IBM:adr, year = "1966", bibdate = "Fri Aug 20 09:34:43 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "File No. S360-01, Form A22-6907-2.", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }@ BB4AP#/_G'E%;1q,bookfparith.bibIsaac߆K@N#%w#=m;QMMmanualfparith.bibIBM:1966:ISMIBM System / 360 Model 91: Functional Characteristicspub-IBMpub-IBM:adr108--1131966Fri Aug 20 09:34:43 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib2010.08.20 09:34:43 ???File No. S360-01, Form A22-6907-2.Cited in cite Sterbenz:1974:FPC.ack-nhfbIBM @Manual{IBM:1966:ISM, key = "IBM", title = "{IBM System\slash 360 Model 91}: Functional Characteristics", publisher = pub-IBM, address = pub-IBM:adr, year = "1966", bibdate = "Fri Aug 20 09:34:43 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "File No. S360-01, Form A22-6907-2.", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", } "Analysis of numerical methods", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "xv + 541", year = "1966", LCCN = "QA297 .I8", bibdate = "Fri Aug 20 09:37:14 MDT 2010", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; z3950.loc.gov:7090/Voyager", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}. 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Veselovski{\u\i}Wed Sep 22 18:01:23 2010http://www.math.utah.edu/pub/tex/bib/fparith.bib; MathSciNet database2010.09.22 18:01:23 ???British Journal for the History of Sciencehistory0143.24202ack-nhfbhttp://journals.cambridgefloating-point conversion from decimal-to-binary and vice versa", journal = j-CACM, volume = "9", number = "5", pages = "347--348", month = may, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:20:06 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Decimal-to-binary and binary-to-decimal floating-point conversion is often performed by using a table of the powers $ 10^i $ ($i$ a positive integer) for converting from base $ 10 $ to base $2$, and by using a table of the coefficients of a polynomial approximation of $ 10^x (0 \leq x < 1) $ for converting from base $2$ to base $ 10 $. These tables occupy a large storage region in the case of a nonsingle precision conversion. This paper shows that a single small table suffices for a floating-point conversion from decimal to binary, and vice versa, in any useful precision.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "floating-point arithmetic; Multiple precision arithmetic; number base conversion", }Fnversion. This paper shows that a single small table suffices for a floating-point conversion from decimal to binary, and vice versa, in any useful precision.Communications of the ACMfloating-point arithmetic; Multiple precision arithmetic; number base conversionack-nhfbhttp://portal.acm.org/browse_dl.cfm?idx=J79 @Article{Mancino:1966:MPF, author = "O. G. Mancino", title = "Multiple precision floating-point conversion from decimal-to-binary and vice versa", journal = j-CACM, volume = "9", number = "5", pages = "347--348", month = may, year = "1966", CODEN = "CACMA2", ISSN = "0001-0782 (print), 1557-7317 (electronic)", ISSN-L = "0001-0782", bibdate = "Fri Nov 25 18:20:06 MST 2005", bibsource = "http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib", abstract = "Decimal-to-binary and binary-to-decimal floating-point conversion is often performed by using a table of the powers $ 10^i $ ($i$ a positive integer) for converting from base $ 10 $ to base $2$, and by using a table of the coefficients of a polynomial approximation of $ 10^x (0 \leq x < 1) $ for converting from base $2$ to base $ 10 $. These tables occupy a large storage region in the case of a nonsingle precision conversion. This paper shows that a single small table suffices for a floating-point conversion from decimal to binary, and vice versa, in any useful precision.", acknowledgement = ack-nhfb, fjournal = "Communications of the ACM", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J79", keywords = "floating-point arithmetic; Multiple precision arithmetic; number base conversion", } 22>FS #-'157E5;?-c articlefparith.bibMancino:1966:MPFO. G. MancinoMultiple precision floating-point conversion from decimal-to-binary and vice versaj-CACM95347--348may51966CACMA20001-0782 (print), 1557-7317 (electronic) OR 00010782 (print), 15577317 (electronic)0001-0782 OR 00010782Fri Nov 25 18:20:06 MST 2005http://www.acm.org/pubs/contents/journals/cacm/; http://www.math.utah.edu/pub/tex/bib/cacm1960.bib; http://www.math.utah.edu/pub/tex/bib/fparith.bib2005.11.25 18:20:06 MSTDecimal-to-binary and binary-to-decimal floating-point conversion is often performed by using a table of the powers $ 10^i $ ($i$ a positive integer) for converting from base $ 10 $ to base $2$, and by using a table of the coefficients of a polynomial approximation of $ 10^x (0 leq x < 1) $ for converting from base $2$ to base $ 10 $. These tables occupy a large storage region in the case of a nonsingle precision co} Decimal Floating Point Unit", year = "1966", bibdate = "Wed Nov 22 21:18:53 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Cited in \cite[p. 106]{Cowlishaw:2003:DFP}.", acknowledgement = ack-nhfb, keywords = "decimal floating-point arithmetic", }G GN ##)!k=m;_OSunpublishedfparith.bibMazor:1966:FSIStan MazorFairchild Symbol II Decimal Floating Point Unit347--3481966Wed Nov 22 21:18:53 2006http://www.math.utah.edu/pub/tex/bib/fparith.bib2006.11.22 21:18:53 ???Cited in cite [p. 106]Cowlishaw:2003:DFP.decimal floating-point arithmeticack-nhfb @Unpublished{Mazor:1966:FSI, author = "Stan Mazor", title = "{Fairchild Symbol II} Decimal Floating Point Unit", year = "1966", bibdate = "Wed Nov 22 21:18:53 2006", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", note = "Cited in \cite[p. 106]{Cowlishaw:2003:DFP}.", acknowledgement = ack-nhfb, keywords = "decimal floating-point arithmetic", }blisher = pub-PH, address = pub-PH:adr, pages = "xi + 145", year = "1966", LCCN = "QA297 .M63", bibdate = "Sat Feb 14 08:15:54 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }H lIP #+%!57=m;7Sarticlefparith.bibNickel:1966:NjHN #')/!!=m;Mqbookfparith.bibMoore:1966:IARamon E. MooreInterval analysispub-PHpub-PH:adrxi + 1451966QA297 .M63Sat Feb 14 08:15:54 1998http://www.math.utah.edu/pub/tex/bib/fparith.bib1998.02.14 08:15:54 ???Cited in cite Sterbenz:1974:FPC.ack-nhfb @Book{Moore:1966:IA, author = "Ramon E. Moore", title = "Interval analysis", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 145", year = "1966", LCCN = "QA297 .M63", bibdate = "Sat Feb 14 08:15:54 1998", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nhfb, remark = "Cited in \cite{Sterbenz:1974:FPC}.", }eit einer Fehlerschranken- Arithmetik f{\"u}r Rechenautomaten}", journal = j-NUM-MATH, volume = "9", pages = "69--79", year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-jr, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/16", }IFAK. NickelUber die Notwendigkeit einer Fehlerschranken- Arithmetik fur Rechenautomatenj-NUM-MATH969--791966NUMMA70029-599X (print), 0945-3245 (electronic) OR 0029599X (print), 09453245 (electronic)0029-599X OR 0029599XFri Jan 12 11:37:56 1996http://www.math.utah.edu/pub/tex/bib/fparith.bib1996.01.12 11:37:56 ???Numerische Mathematikack-jrhttp://link.springer.com/journal/16 @Article{Nickel:1966:NFA, author = "K. Nickel", title = "{{\"U}ber die Notwendigkeit einer Fehlerschranken- Arithmetik f{\"u}r Rechenautomaten}", journal = j-NUM-MATH, volume = "9", pages = "69--79", year = "1966", CODEN = "NUMMA7", ISSN = "0029-599X (print), 0945-3245 (electronic)", ISSN-L = "0029-599X", bibdate = "Fri Jan 12 11:37:56 1996", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-jr, fjournal = "Numerische Mathematik", journal-URL = "http://link.springer.com/journal/16", }mber systems", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 137", year = "1966", LCCN = "QA241 .P3; QA241 .P239", bibdate = "Fri Nov 9 19:10:47 MST 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; melvyl.cdlib.org:210/CDL90", series = "Teachers' mathematics reference series", acknowledgement = ack-nhfb, subject = "Number theory", }J VV0 w1ys @Article{Williams:1993:BFM, authorti @Article{Wichmann:1989:SPI, author = "B. A. Wichmann", title = "Scientific procesaR% @Article{Wichmann:1989:TFS, author = "B. A. Wichmann", title = "Towards a formal hE @Article{Wichmann:1992:NUF, author = "Brian A. Wichmann", title = "A Note on the $kA @Article{Wichmann:1992:SFW, author = "Brian A. Wichmann", title = "{Surveyor's Fo$pH @Article{Wichmann:1994:CSP, author = "B. A. Wichmann", title = "Contribution of s) @Article{Wigley:1990:MRR, author = "N. M. Wigley and G. A. Jullien", title = "On e%K @Article{Wigley:1991:FMR, author = "N. W. Wigley and G. A. Jullien", title = "Flexible modulus residue number system for complex d"*qc @Article{Wilkes:1992:E, author = "Maurice V. Wilkes", title = "{EDSAC 2}", jour$s KK1JO #+/K!9C%;Y'[bookfparith.bibParker:1966:SNSFrancis D. ParkerThe structure of number systemspub-PHpub-PH:adrxi + 1371966QA241 .P3; QA241 .P239Fri Nov 9 19:10:47 MST 2007http://www.math.utah.edu/pub/tex/bib/fparith.bib; melvyl.cdlib.org:210/CDL902007.11.09 19:10:47 MSTTeachers' mathematics reference seriesNumber theoryack-nhfb @Book{Parker:1966:SNS, author = "Francis D. Parker", title = "The structure of number systems", publisher = pub-PH, address = pub-PH:adr, pages = "xi + 137", year = "1966", LCCN = "QA241 .P3; QA241 .P239", bibdate = "Fri Nov 9 19:10:47 MST 2007", bibsource = "http://www.math.utah.edu/pub/tex/bib/fparith.bib; melvyl.cdlib.org:210/CDL90", series = "Teachers' mathematics reference series", acknowledgement = ack-nhfb, subject = "Number theory", }^x $ with the use of large tables", journal = j-IBM-SYS-J, volume = "5", number = "2", pages = "102--114", year = "1966", CODEN = "IBMSA7", ISSN = "0018-8670", bibdate = "Thu Sep 15 18:43:03 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IBM Systems Journal", xxmonth = "(none)", }Kberg:1966:CEUK. SpielbergComputation of $ e^x $ with the use of large tablesj-IBM-SYS-J52102--1141966IBMSA70018-8670 OR 00188670Thu Sep 15 18:43:03 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.15 18:43:03 ???IBM Systems Journalack-nj @Article{Spielberg:1966:CEU, author = "K. Spielberg", title = "Computation of $ e^x $ with the use of large tables", journal = j-IBM-SYS-J, volume = "5", number = "2", pages = "102--114", year = "1966", CODEN = "IBMSA7", ISSN = "0018-8670", bibdate = "Thu Sep 15 18:43:03 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", acknowledgement = ack-nj, fjournal = "IBM Systems Journal", xxmonth = "(none)", } ULS#-G?I)+57=K;KY?articlefparith.bibTienari:1966:SPMM. Tienari and V. SuokonautioA Set of Procedures Making Real Arithmetic of Unlimited Accuracy Possible Within Algol 60j-NORDISK-TIDSKR-INFORM-BEHAND64332--338jul71966BITTEL, NBITABhttp://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF019660930006-3835 (print), 1572-9125 (electronic) OR 00063835 (print), 15729125 (electronic)0006-3835 OR 00063835Mon Sep 12 08:07:38 1994ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib1994.09.12 08:07:38 ???http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=6&issue=4&spage=332ack-njhtt`KO #1%s#7=K;31 articlefparith.bibSpielet of Procedures Making Real Arithmetic of Unlimited Accuracy Possible Within {Algol 60}", journal = j-NORDISK-TIDSKR-INFORM-BEHAND, volume = "6", number = "4", pages = "332--338", month = jul, year = "1966", CODEN = "BITTEL, NBITAB", DOI = "http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/BF01966093", ISSN = "0006-3835 (print), 1572-9125 (electronic)", ISSN-L = "0006-3835", bibdate = "Mon Sep 12 08:07:38 1994", bibsource = "ftp://garbo.uwasa.fi/pc/doc-soft/fpbibl18.zip; http://www.math.utah.edu/pub/tex/bib/fparith.bib", URL = "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=6&issue=4&spage=332", acknowledgement = ack-nj, journal-URL = "http://link.springer.com/journal/10543", }L rL& @Book{Intel:1983:HRM, author = "Intel", title = "The {iAPX} 286 Hardware Referenc @Book{Intel:1983:HRM, author = "Intel", title = "The {iAPX} 286 Hardware Referenc;w @Book{Intel:1985:FPL, author = "{Intel Staff}", title = "Floating Point Library f -[ @Book{Intel:1985:PRM, author = "Intel", title = "The {iAPX} 286 Programmer's Refexq @Book{Isaacson:1966:ANM, author = "Eugene Isaacson and Herbert Bishop Keller", title = ކ,Y @Book{Isaacson:1994:ANM, author = "Eugene Isaacson and Herbert Bishop Keller", title = (JI @Book{Jacobs:1977:SAN, editor = "D. Jacobs", booktitle = "The state of the art in numL]; @Book{Jorke:1989:AAM, author = "G{\"u}nter Jorke and Bernhard Lampe and Norbert >} @Book{Kane:1987:MRR, author = "Gerry Kane", title = "{MIPS R2000 RISC} Architectup://link.springer.com/journal/10543 @Article{Tienari:1966:SPM, author = "M. Tienari and V. Suokonautio", title =