This is TeX, C Version 3.141 (format=lplain 93.2.23) 20 NOV 1995 08:57 **22900_images.tex (22900_images.tex LaTeX Version 2.09 <25 March 1992> (/usr/local/lib/TeX/inputs/book.sty Standard Document Style `book' <14 Jan 92>. (/usr/local/lib/TeX/inputs/bk10.sty) \descriptionmargin=\dimen99 \c@part=\count79 \c@chapter=\count80 \c@section=\count81 \c@subsection=\count82 \c@subsubsection=\count83 \c@paragraph=\count84 \c@subparagraph=\count85 \c@figure=\count86 \c@table=\count87 ) (/usr/local/lib/TeX/inputs/makeidx.sty Document style option `makeidx' - released 21 Oct 91 ) (/usr/local/lib/TeX/inputs/epsf.sty \epsffilein=\read1 \epsfxsize=\dimen100 \epsfysize=\dimen101 \epsftsize=\dimen102 \epsfrsize=\dimen103 \epsftmp=\dimen104 \pspoints=\dimen105 ) (/usr/local/lib/TeX/inputs/psfig.sty \@unused=\write3 psfig/tex 1.9 \ps@stream=\read2 \p@intvaluex=\dimen106 \p@intvaluey=\dimen107 ) (/usr/local/lib/TeX/inputs/fleqn.sty Document style option `fleqn' - Released 04 Nov 91 \mathindent=\dimen108 ) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/comment.sty E xcluding comment 'comment') \@indexfile=\write4 Writing index file 22900_images.idx (22900_images.aux (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ ed/pageone.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed /preface.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/table-of-symbol s.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/affiliations.au x) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/acknowledgement s.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/intro-chapter.a ux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/iterative-metho ds.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/preconditioners .aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/related-issues. aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/remaining-topic s.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/software .aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/blas.aux) (/a/dasher/white/homes/dongarra/PAPERS/TEX/TEMPLATES/NEW/2nd_ed/glossary.aux)) \c@utk-thanks=\count88 \c@ornl-thanks=\count89 \c@ucla-thanks=\count90 [1 ] Underfull \hbox (badness 10000) in paragraph at lines 74--113 [][] \hbox(196.06055+191.06055)x373.215 .\hbox(0.0+0.0)x15.0 .\hbox(196.06055+191.06055)x357.64662 ..\mathon ..\vbox(196.06055+191.06055)x357.64662 ...\hbox(8.39996+3.60004)x357.64662 [] ...\glue(\lineskip) 0.0 ...\hbox(8.39996+3.60004)x357.64662 [] ...\glue(\lineskip) 0.0 ...\hbox(8.39996+3.60004)x357.64662 [] ...etc. ..\mathoff .\glue(\rightskip) 0.0 Underfull \hbox (badness 10000) in paragraph at lines 74--113 \hbox(0.0+0.0)x373.215 .\glue(\rightskip) 0.0 [2 ] [3 ] [4 ] [5 ] [6 ] [7 ] [8 ] [9 ] [10 ] [11 ] [12 ] [13 ] [14 ] [15 ] [16 ] [17 ] [18 ] [19 ] [20 ] [21 ] [22 ] [23 ] [24 ] [25 ] [26 ] [27 ] [28 ] [29 ] [30 ] [31 ] [32 ] [33 ] [34 ] [35 ] [36] [37 ] Overfull \hbox (12.81262pt too wide) detected at line 383 $ []$ \hbox(8.64003+2.5)x373.215 .\mathon .\glue 25.0 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[524 ] [525 ] [526 ] [527 ] [528 ] [529 ] [530 ] [531 ] [532 ] [533 ] [534 ] [535 ] [536 ] [537 ] [538 ] [539 ] [540 ] [541 ] [542 ] [543 ] [544 ] [545 ] [546 ] [547 ] [548 ] [549 ] [550 ] [551 ] ! Missing } inserted. } $ l.4433 ...ot counting the initial zeroing of the $ w$~array.} x\leftarrow {\t... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Extra }, or forgotten $. l.4433 ...g the initial zeroing of the $w$~array.} x\leftarrow {\tt \vbox{ I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. Overfull \hbox (164.26816pt too wide) in paragraph at lines 4433--4460 []$[]$\tenrm w$ \tenmi array:x \tensy []\tenmi x \tenrm + \hbox(265.7475+2.22223)x373.215, glue set - 1.0 .\hbox(0.0+0.0)x15.0 .\mathon .\hbox(6.11111+2.22223)x204.74821 ..\tentt T ..\tentt h ..\tentt i ..\tentt s ..\tentt i ..etc. .\mathoff .\tenrm w .etc. [552 ] [553 ] [554 ] [555 ] [556 ] [557 ] [558 ] [559 ] [560 ] [561 ] [562 ] [563 ] [564 ] [565 ] [566 ] [567 ] [568 ] [569 ] [570] [571 ] [572 ] [573 ] [574 ] [575 ] [576 ] [577 ] [578 ] [579 ] [580 ] [581 ] [582 ] [583 ] [584 ] [585 ] [586 ] [587 ] [588 ] [589 ] [590 ] [591 ] [592 ] [593 ] [594 ] [595 ] [596 ] [597 ] [598 ] [599 ] [600 ] [601 ] [602 ] [603 ] [604 ] [605 ] [606 ] [607 ] [608 ] [609 ] [610 ] [611 ] [612 ] [613 ] [614 ] [615 ] [616 ] [617 ] [618 ] [619 ] [620 ] [621 ] [622 ] [623 ] [624 ] [625 ] [626 ] [627 ] [628 ] [629 ] [630 ] [631 ] [632 ] [633 ] [634 ] [635 ] [636 ] [637 ] [638 ] [639 ] [640 ] [641 ] [642 ] [643 ] [644 ] [645 ] [646 ] [647 ] [648 ] [649 ] [650 ] [651 ] [652 ] [653 ] [654 ] ! Missing } inserted. } $ l.5146 {\samepage \clearpage \begin{displaymath}$ p\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5146 ...e \begin{displaymath}$p\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5146 ...e \begin{displaymath}$p\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5146 ...e \begin{displaymath}$p\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5146 $ []$\tenrm p \hbox(4.30554+1.94444)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm p ! Extra }, or forgotten \endgroup. l.5147 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [655 ] ! Missing } inserted. } $ l.5152 {\samepage \clearpage \begin{displaymath}$ A'_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5152 ...epage \clearpage \begin{displaymath}$A'_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5152 ...begin{displaymath}$A'_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [656 ] ! Missing } inserted. } $ l.5158 {\samepage \clearpage \begin{displaymath}$ A_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5158 ...mepage \clearpage \begin{displaymath}$A_ H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5158 ...\begin{displaymath}$A_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [657 ] ! Missing } inserted. } $ l.5164 {\samepage \clearpage \begin{displaymath}$ R_i^T {A'}_i^{-1} R_i v \e... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5164 ...epage \clearpage \begin{displaymath}$ R_ i^T {A'}_i^{-1} R_i v \end... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5164 ..._i^T {A'}_i^{-1} R_i v \end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [658 ] ! Missing } inserted. } $ l.5170 {\samepage \clearpage \begin{displaymath}$ v_i=R_i v\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5170 ...mepage \clearpage \begin{displaymath}$v_ i=R_i v\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5170 ...{displaymath}$v_i=R_i v\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [659 ] ! Missing } inserted. } $ l.5176 {\samepage \clearpage \begin{displaymath}$ w_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5176 ...mepage \clearpage \begin{displaymath}$w_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5176 ...\begin{displaymath}$w_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [660 ] ! Missing } inserted. } $ l.5182 {\samepage \clearpage \begin{displaymath}$ A'_i w_i=v_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5182 ...epage \clearpage \begin{displaymath}$A'_ i w_i=v_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5182 ...splaymath}$A'_i w_i=v_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [661 ] ! Missing } inserted. } $ l.5188 {\samepage \clearpage \begin{displaymath}$ y_i=R^T_i w_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5188 ...mepage \clearpage \begin{displaymath}$y_ i=R^T_i w_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5188 ...playmath}$y_i=R^T_i w_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [662 ] ! Missing } inserted. } $ l.5194 {\samepage \clearpage \begin{displaymath}$ K_{as}^{-1}A\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5194 ...mepage \clearpage \begin{displaymath}$K_ {as}^{-1}A\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5194 ...splaymath}$K_{as}^{-1}A\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [663 ] ! Missing } inserted. } $ l.5200 {\samepage \clearpage \begin{displaymath}$ H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5200 ...e \begin{displaymath}$H\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5200 ...e \begin{displaymath}$H\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5200 ...e \begin{displaymath}$H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5200 $ []$\tenrm H \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm H ! Extra }, or forgotten \endgroup. l.5201 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [664 ] ! Missing } inserted. } $ l.5206 {\samepage \clearpage \begin{displaymath}$ h\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5206 ...e \begin{displaymath}$h\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5206 ...e \begin{displaymath}$h\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5206 ...e \begin{displaymath}$h\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5206 $ []$\tenrm h \hbox(6.94444+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm h ! Extra }, or forgotten \endgroup. l.5207 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [665 ] ! Missing } inserted. } $ l.5212 {\samepage \clearpage \begin{displaymath}$ \Omega_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \Omega l.5212 ...ge \clearpage \begin{displaymath}$\Omega _i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5212 ...n{displaymath}$\Omega_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [666 ] ! Missing } inserted. } $ l.5218 {\samepage \clearpage \begin{displaymath}$ \omip\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \Omega \omip ->\Omega '_i l.5218 ...age \clearpage \begin{displaymath}$\omip \end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5218 ...egin{displaymath}$\omip\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [667 ] ! Missing } inserted. } $ l.5224 {\samepage \clearpage \begin{displaymath}$ \delta/H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \delta l.5224 ...ge \clearpage \begin{displaymath}$\delta /H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5224 ...n{displaymath}$\delta/H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [668 ] ! Missing } inserted. } $ l.5230 {\samepage \clearpage \begin{displaymath}$ \delta\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \delta l.5230 ...ge \clearpage \begin{displaymath}$\delta \end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5230 ...gin{displaymath}$\delta\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [669 ] ! Missing } inserted. } $ l.5236 {\samepage \clearpage \begin{displaymath}$ \partial \omip\end{display... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \partial l.5236 ...\clearpage \begin{displaymath}$ \partial \omip\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5236 ...aymath}$ \partial \omip\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [670 ] ! Missing } inserted. } $ l.5242 {\samepage \clearpage \begin{displaymath}$ \partial \Omega_i\end{disp... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \partial l.5242 ...\clearpage \begin{displaymath}$ \partial \Omega_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5242 ...ath}$ \partial \Omega_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [671 ] ! Missing } inserted. } $ l.5248 {\samepage \clearpage \begin{displaymath}$ h \rightarrow 0\end{display... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \rightarrow l.5248 ...arpage \begin{displaymath}$h \rightarrow 0\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5248 ...aymath}$h \rightarrow 0\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [672 ] ! Missing } inserted. } $ l.5254 {\samepage \clearpage \begin{displaymath}$ O(1/H^2)\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5254 ...ge \clearpage \begin{displaymath}$O(1/H^ 2)\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5254 ...n{displaymath}$O(1/H^2)\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [673 ] ! Missing } inserted. } $ l.5260 {\samepage \clearpage \begin{displaymath}$ K_{as}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5260 ...mepage \clearpage \begin{displaymath}$K_ {as}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5260 ...gin{displaymath}$K_{as}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [674 ] ! Missing } inserted. } $ l.5266 {\samepage \clearpage \begin{displaymath}$ \Omega\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \Omega l.5266 ...ge \clearpage \begin{displaymath}$\Omega \end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5266 ...gin{displaymath}$\Omega\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [675 ] ! Missing } inserted. } $ l.5272 {\samepage \clearpage \begin{displaymath}$ u\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5272 ...e \begin{displaymath}$u\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5272 ...e \begin{displaymath}$u\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5272 ...e \begin{displaymath}$u\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5272 $ []$\tenrm u \hbox(4.30554+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm u ! Extra }, or forgotten \endgroup. l.5273 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [676 ] ! Missing } inserted. } $ l.5278 {\samepage \clearpage \begin{displaymath}$ I_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5278 ...mepage \clearpage \begin{displaymath}$I_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5278 ...\begin{displaymath}$I_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [677 ] ! Missing } inserted. } $ l.5284 {\samepage \clearpage \begin{displaymath}$ n'_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5284 ...epage \clearpage \begin{displaymath}$n'_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5284 ...begin{displaymath}$n'_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [678 ] ! Missing } inserted. } $ l.5290 {\samepage \clearpage \begin{displaymath}$ n'_i \times n'_i\end{displa... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5290 ...epage \clearpage \begin{displaymath}$n'_ i \times n'_i\end{displaym... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5290 ...ymath}$n'_i \times n'_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [679 ] ! Missing } inserted. } $ l.5296 {\samepage \clearpage \begin{displaymath}$ A\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5296 ...e \begin{displaymath}$A\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5296 ...e \begin{displaymath}$A\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5296 ...e \begin{displaymath}$A\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5296 $ []$\tenrm A \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm A ! Extra }, or forgotten \endgroup. l.5297 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [680 ] ! Missing } inserted. } $ l.5302 {\samepage \clearpage \begin{displaymath}$ R^T_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5302 ...mepage \clearpage \begin{displaymath}$R^ T_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5302 ...egin{displaymath}$R^T_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [681 ] ! Missing } inserted. } $ l.5308 {\samepage \clearpage \begin{displaymath}$ n \times n'_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \times l.5308 ... \clearpage \begin{displaymath}$n \times n'_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5308 ...playmath}$n \times n'_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [682 ] ! Missing } inserted. } $ l.5314 {\samepage \clearpage \begin{displaymath}$ u_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5314 ...mepage \clearpage \begin{displaymath}$u_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5314 ...\begin{displaymath}$u_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [683 ] ! Missing } inserted. } $ l.5320 {\samepage \clearpage \begin{displaymath}$ T'_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5320 ...epage \clearpage \begin{displaymath}$T'_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5320 ...begin{displaymath}$T'_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [684 ] ! Missing } inserted. } $ l.5326 {\samepage \clearpage \begin{displaymath}$ (R^T_i u_i)_j=(u_i)_j\end{d... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5326 ...epage \clearpage \begin{displaymath}$(R^ T_i u_i)_j=(u_i)_j\end{dis... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5326 ...}$(R^T_i u_i)_j=(u_i)_j\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [685 ] ! Missing } inserted. } $ l.5332 {\samepage \clearpage \begin{displaymath}$ j \in I_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \in l.5332 ...age \clearpage \begin{displaymath}$j \in I_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5332 ...{displaymath}$j \in I_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [686 ] ! Missing } inserted. } $ l.5338 {\samepage \clearpage \begin{displaymath}$ R_i u\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5338 ...mepage \clearpage \begin{displaymath}$R_ i u\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5338 ...egin{displaymath}$R_i u\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [687 ] ! Missing } inserted. } $ l.5344 {\samepage \clearpage \begin{displaymath}$ R^T_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5344 ...mepage \clearpage \begin{displaymath}$R^ T_H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5344 ...egin{displaymath}$R^T_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [688 ] ! Missing } inserted. } $ l.5350 {\samepage \clearpage \begin{displaymath}$ n \times n_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \times l.5350 ... \clearpage \begin{displaymath}$n \times n_H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5350 ...splaymath}$n \times n_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [689 ] ! Missing } inserted. } $ l.5356 {\samepage \clearpage \begin{displaymath}$ T_h\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5356 ...mepage \clearpage \begin{displaymath}$T_ h\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5356 ...\begin{displaymath}$T_h\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [690 ] ! Missing } inserted. } $ l.5362 {\samepage \clearpage \begin{displaymath}$ T_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5362 ...mepage \clearpage \begin{displaymath}$T_ H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5362 ...\begin{displaymath}$T_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [691 ] ! Missing } inserted. } $ l.5368 {\samepage \clearpage \begin{displaymath}$ R_H, R^T_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5368 ...mepage \clearpage \begin{displaymath}$R_ H, R^T_H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5368 ...displaymath}$R_H, R^T_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [692 ] ! Missing } inserted. } $ l.5374 {\samepage \clearpage \begin{displaymath}$ R^T_i, R_i, R^T_H, R_H\end{... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5374 ...mepage \clearpage \begin{displaymath}$R^ T_i, R_i, R^T_H, R_H\end{d... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5374 ...$R^T_i, R_i, R^T_H, R_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [693 ] ! Missing } inserted. } $ l.5380 {\samepage \clearpage \begin{displaymath}$ R_i, A'_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5380 ...mepage \clearpage \begin{displaymath}$R_ i, A'_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5380 ...{displaymath}$R_i, A'_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [694 ] ! Missing } inserted. } $ l.5386 {\samepage \clearpage \begin{displaymath}$ A_H, R_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5386 ...mepage \clearpage \begin{displaymath}$A_ H, R_H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5386 ...n{displaymath}$A_H, R_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [695 ] [696 ] [697 ] [698 ] [699 ] [700 ] [701 ] [702 ] [703 ] ! Missing } inserted. } $ l.5457 {\samepage \clearpage \begin{displaymath}$ A_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5457 ...mepage \clearpage \begin{displaymath}$A_ B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5457 ...\begin{displaymath}$A_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [704 ] ! Missing } inserted. } $ l.5463 {\samepage \clearpage \begin{displaymath}$ u_I\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5463 ...mepage \clearpage \begin{displaymath}$u_ I\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5463 ...\begin{displaymath}$u_I\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [705 ] ! Missing } inserted. } $ l.5469 {\samepage \clearpage \begin{displaymath}$ u_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5469 ...mepage \clearpage \begin{displaymath}$u_ B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5469 ...\begin{displaymath}$u_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [706 ] [707 ] ! Missing } inserted. } $ l.5482 {\samepage \clearpage \begin{displaymath}$ S_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5482 ...mepage \clearpage \begin{displaymath}$S_ B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5482 ...\begin{displaymath}$S_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [708 ] ! Missing } inserted. } $ l.5488 {\samepage \clearpage \begin{displaymath}$ O(h^{-1})\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5488 ...page \clearpage \begin{displaymath}$O(h^ {-1})\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5488 ...{displaymath}$O(h^{-1})\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [709 ] ! Missing } inserted. } $ l.5494 {\samepage \clearpage \begin{displaymath}$ O(h^{-2})\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5494 ...page \clearpage \begin{displaymath}$O(h^ {-2})\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5494 ...{displaymath}$O(h^{-2})\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [710 ] ! Missing } inserted. } $ l.5500 {\samepage \clearpage \begin{displaymath}$ v_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5500 ...mepage \clearpage \begin{displaymath}$v_ B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5500 ...\begin{displaymath}$v_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [711 ] ! Missing } inserted. } $ l.5506 {\samepage \clearpage \begin{displaymath}$ B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5506 ...e \begin{displaymath}$B\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5506 ...e \begin{displaymath}$B\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5506 ...e \begin{displaymath}$B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5506 $ []$\tenrm B \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm B ! Extra }, or forgotten \endgroup. l.5507 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [712 ] ! Missing } inserted. } $ l.5512 {\samepage \clearpage \begin{displaymath}$ S_B v_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5512 ...mepage \clearpage \begin{displaymath}$S_ B v_B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5512 ...in{displaymath}$S_B v_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [713 ] ! Missing } inserted. } $ l.5518 {\samepage \clearpage \begin{displaymath}$ A_Bv_B - A_{IB}^T (A_I^{-1}... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5518 ...mepage \clearpage \begin{displaymath}$A_ Bv_B - A_{IB}^T (A_I^{-1} ... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5518 ... (A_I^{-1} (A_{IB}v_B))\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [714 ] ! Missing } inserted. } $ l.5524 {\samepage \clearpage \begin{displaymath}$ A_{I}^{-1}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5524 ...mepage \clearpage \begin{displaymath}$A_ {I}^{-1}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5524 ...displaymath}$A_{I}^{-1}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [715 ] ! Missing } inserted. } $ l.5530 {\samepage \clearpage \begin{displaymath}$ A_i^{-1}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5530 ...mepage \clearpage \begin{displaymath}$A_ i^{-1}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5530 ...n{displaymath}$A_i^{-1}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [716 ] ! Missing } inserted. } $ l.5536 {\samepage \clearpage \begin{displaymath}$ g_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5536 ...mepage \clearpage \begin{displaymath}$g_ B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5536 ...\begin{displaymath}$g_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [717 ] [718 ] ! Missing } inserted. } $ l.5549 {\samepage \clearpage \begin{displaymath}$ V_H=\bigcup_k V_k\end{displ... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5549 ...mepage \clearpage \begin{displaymath}$V_ H=\bigcup_k V_k\end{displa... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5549 ...math}$V_H=\bigcup_k V_k\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [719 ] ! Missing } inserted. } $ l.5555 {\samepage \clearpage \begin{displaymath}$ V_k\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5555 ...mepage \clearpage \begin{displaymath}$V_ k\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5555 ...\begin{displaymath}$V_k\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [720 ] ! Missing } inserted. } $ l.5561 {\samepage \clearpage \begin{displaymath}$ E=\bigcup_i E_i\end{display... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \bigcup l.5561 ...\clearpage \begin{displaymath}$E=\bigcup _i E_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5561 ...aymath}$E=\bigcup_i E_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [721 ] ! Missing } inserted. } $ l.5567 {\samepage \clearpage \begin{displaymath}$ E_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5567 ...mepage \clearpage \begin{displaymath}$E_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5567 ...\begin{displaymath}$E_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [722 ] ! Missing } inserted. } $ l.5573 {\samepage \clearpage \begin{displaymath}$ V_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5573 ...mepage \clearpage \begin{displaymath}$V_ H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5573 ...\begin{displaymath}$V_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [723 ] ! Missing } inserted. } $ l.5579 {\samepage \clearpage \begin{displaymath}$ R_{E_i}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5579 ...mepage \clearpage \begin{displaymath}$R_ {E_i}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5579 ...in{displaymath}$R_{E_i}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [724 ] ! Missing } inserted. } $ l.5585 {\samepage \clearpage \begin{displaymath}$ n_{E_i} \times n\end{displa... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5585 ...mepage \clearpage \begin{displaymath}$n_ {E_i} \times n\end{display... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5585 ...ymath}$n_{E_i} \times n\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [725 ] ! Missing } inserted. } $ l.5591 {\samepage \clearpage \begin{displaymath}$ n_{E_i}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5591 ...mepage \clearpage \begin{displaymath}$n_ {E_i}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5591 ...in{displaymath}$n_{E_i}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [726 ] ! Missing } inserted. } $ l.5597 {\samepage \clearpage \begin{displaymath}$ (R_{E_i} u_B)_j = (u_B)_j\e... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5597 ...epage \clearpage \begin{displaymath}$(R_ {E_i} u_B)_j = (u_B)_j\end... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5597 ..._{E_i} u_B)_j = (u_B)_j\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [727 ] ! Missing } inserted. } $ l.5603 {\samepage \clearpage \begin{displaymath}$ j \in E_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \in l.5603 ...age \clearpage \begin{displaymath}$j \in E_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5603 ...{displaymath}$j \in E_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [728 ] ! Missing } inserted. } $ l.5609 {\samepage \clearpage \begin{displaymath}$ S\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5609 ...e \begin{displaymath}$S\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5609 ...e \begin{displaymath}$S\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5609 ...e \begin{displaymath}$S\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5609 $ []$\tenrm S \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm S ! Extra }, or forgotten \endgroup. l.5610 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [729 ] [730 ] ! Missing } inserted. } $ l.5625 {\samepage \clearpage \begin{displaymath}$ S_E\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5625 ...mepage \clearpage \begin{displaymath}$S_ E\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5625 ...\begin{displaymath}$S_E\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [731 ] ! Missing } inserted. } $ l.5631 {\samepage \clearpage \begin{displaymath}$ S_{E_i}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5631 ...mepage \clearpage \begin{displaymath}$S_ {E_i}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5631 ...in{displaymath}$S_{E_i}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [732 ] ! Missing } inserted. } $ l.5637 {\samepage \clearpage \begin{displaymath}$ S_{E_i}^{-1}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5637 ...mepage \clearpage \begin{displaymath}$S_ {E_i}^{-1}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5637 ...splaymath}$S_{E_i}^{-1}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [733 ] [734 ] ! Missing } inserted. } $ l.5650 {\samepage \clearpage \begin{displaymath}$ K\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5650 ...e \begin{displaymath}$K\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5650 ...e \begin{displaymath}$K\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5650 ...e \begin{displaymath}$K\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5650 $ []$\tenrm K \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm K ! Extra }, or forgotten \endgroup. l.5651 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [735 ] ! Missing } inserted. } $ l.5656 {\samepage \clearpage \begin{displaymath}$ n_{E_i} \times n_{E_i}\end{... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5656 ...mepage \clearpage \begin{displaymath}$n_ {E_i} \times n_{E_i}\end{d... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5656 ...$n_{E_i} \times n_{E_i}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [736 ] ! Missing } inserted. } $ l.5662 {\samepage \clearpage \begin{displaymath}$ 2\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5662 ...e \begin{displaymath}$2\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5662 ...e \begin{displaymath}$2\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5662 ...e \begin{displaymath}$2\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5662 $ []$\tenrm 2 \hbox(6.44444+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm 2 ! Extra }, or forgotten \endgroup. l.5663 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [737 ] ! Missing } inserted. } $ l.5668 {\samepage \clearpage \begin{displaymath}$ -1\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5668 ... \begin{displaymath}$-1\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5668 ... \begin{displaymath}$-1\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5668 ... \begin{displaymath}$-1\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5668 $ []$\tenrm -1 \hbox(6.44444+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm - .etc. ! Extra }, or forgotten \endgroup. l.5669 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [738 ] ! Missing } inserted. } $ l.5675 $ \alpha_{E_i}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \alpha l.5675 $\alpha _{E_i}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5675 $\alpha_{E_i}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [739 ] ! Missing } inserted. } $ l.5681 {\samepage \clearpage \begin{displaymath}$ a(x,y)\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5681 ...gin{displaymath}$a(x,y)\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5681 ...gin{displaymath}$a(x,y)\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5681 ...gin{displaymath}$a(x,y)\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5681 $ []$\tenrm a(x,y) \hbox(7.5+2.5)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm a .etc. ! Extra }, or forgotten \endgroup. l.5682 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [740 ] ! Missing } inserted. } $ l.5687 {\samepage \clearpage \begin{displaymath}$ M_{E_i}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5687 ...mepage \clearpage \begin{displaymath}$M_ {E_i}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5687 ...in{displaymath}$M_{E_i}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [741 ] [742 ] ! Missing } inserted. } $ l.5701 {\samepage \clearpage \begin{displaymath}$ K_{BPS}^{-1}S_B\end{display... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5701 ...mepage \clearpage \begin{displaymath}$K_ {BPS}^{-1}S_B\end{displaym... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5701 ...aymath}$K_{BPS}^{-1}S_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [743 ] ! Missing } inserted. } $ l.5707 {\samepage \clearpage \begin{displaymath}$ O(1+\log^2(H/h))\end{displa... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathop \log ->\mathop {\rm log}\nolimits l.5707 ... \clearpage \begin{displaymath}$O(1+\log ^2(H/h))\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5707 ...ymath}$O(1+\log^2(H/h))\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [744 ] ! Missing } inserted. } $ l.5713 {\samepage \clearpage \begin{displaymath}$ \log^2(H/h)\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathop \log ->\mathop {\rm log}\nolimits l.5713 ...page \clearpage \begin{displaymath}$\log ^2(H/h)\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5713 ...isplaymath}$\log^2(H/h)\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [745 ] ! Missing } inserted. } $ l.5719 {\samepage \clearpage \begin{displaymath}$ K_{BPS}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5719 ...mepage \clearpage \begin{displaymath}$K_ {BPS}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5719 ...in{displaymath}$K_{BPS}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [746 ] ! Missing } inserted. } $ l.5725 {\samepage \clearpage \begin{displaymath}$ X=\bigcup_k X_k\end{display... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \bigcup l.5725 ...\clearpage \begin{displaymath}$X=\bigcup _k X_k\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5725 ...aymath}$X=\bigcup_k X_k\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [747 ] ! Missing } inserted. } $ l.5731 {\samepage \clearpage \begin{displaymath}$ X_k\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5731 ...mepage \clearpage \begin{displaymath}$X_ k\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5731 ...\begin{displaymath}$X_k\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [748 ] ! Missing } inserted. } $ l.5737 {\samepage \clearpage \begin{displaymath}$ X\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5737 ...e \begin{displaymath}$X\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5737 ...e \begin{displaymath}$X\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5737 ...e \begin{displaymath}$X\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5737 $ []$\tenrm X \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm X ! Extra }, or forgotten \endgroup. l.5738 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [749 ] ! Missing } inserted. } $ l.5743 {\samepage \clearpage \begin{displaymath}$ E\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5743 ...e \begin{displaymath}$E\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{trivlist} ended by \end{displaymath}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \end #1->\csname end#1\endcsname \@checkend {#1} \expandafter \endgroup \if@e... l.5743 ...e \begin{displaymath}$E\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing } inserted. } \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.5743 ...e \begin{displaymath}$E\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. Underfull \hbox (badness 10000) detected at line 5743 $ []$\tenrm E \hbox(6.83331+0.0)x373.215 .\mathon .\glue 25.0 .\hbox(0.0+0.0)x0.0 .\mathoff .\tenrm E ! Extra }, or forgotten \endgroup. l.5744 } I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [750 ] ! Missing } inserted. } $ l.5749 {\samepage \clearpage \begin{displaymath}$ S_{X_k}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5749 ...mepage \clearpage \begin{displaymath}$S_ {X_k}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5749 ...in{displaymath}$S_{X_k}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [751 ] ! Missing } inserted. } $ l.5755 {\samepage \clearpage \begin{displaymath}$ R_{X_k}, R^T_{X_k}\end{disp... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5755 ...mepage \clearpage \begin{displaymath}$R_ {X_k}, R^T_{X_k}\end{displ... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5755 ...ath}$R_{X_k}, R^T_{X_k}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [752 ] ! Missing } inserted. } $ l.5761 {\samepage \clearpage \begin{displaymath}$ K^{1/2}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ ^ l.5761 ...mepage \clearpage \begin{displaymath}$K^ {1/2}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5761 ...in{displaymath}$K^{1/2}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [753 ] ! Missing } inserted. } $ l.5767 {\samepage \clearpage \begin{displaymath}$ M_{X_k}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5767 ...mepage \clearpage \begin{displaymath}$M_ {X_k}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5767 ...in{displaymath}$M_{X_k}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [754 ] [755 ] ! Missing } inserted. } $ l.5783 {\samepage \clearpage \begin{displaymath}$ K_{VS}^{-1}S_B\end{displaym... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5783 ...mepage \clearpage \begin{displaymath}$K_ {VS}^{-1}S_B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5783 ...laymath}$K_{VS}^{-1}S_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [756 ] [757 ] [758 ] [759 ] [760 ] [761 ] [762 ] ! Missing } inserted. } $ l.5829 {\samepage \clearpage \begin{displaymath}$ A_H^{-1}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5829 ...mepage \clearpage \begin{displaymath}$A_ H^{-1}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5829 ...n{displaymath}$A_H^{-1}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [763 ] ! Missing } inserted. } $ l.5835 {\samepage \clearpage \begin{displaymath}$ \tilde{A}_H^{-1}\end{displa... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5835 ...ge \clearpage \begin{displaymath}$\tilde {A}_H^{-1}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5835 ...ymath}$\tilde{A}_H^{-1}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [764 ] ! Missing } inserted. } $ l.5841 {\samepage \clearpage \begin{displaymath}$ K_{VS}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5841 ...mepage \clearpage \begin{displaymath}$K_ {VS}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5841 ...gin{displaymath}$K_{VS}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [765 ] ! Missing } inserted. } $ l.5847 {\samepage \clearpage \begin{displaymath}$ \tilde{K}_{BPS}\end{display... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5847 ...ge \clearpage \begin{displaymath}$\tilde {K}_{BPS}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5847 ...aymath}$\tilde{K}_{BPS}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [766 ] ! Missing } inserted. } $ l.5853 {\samepage \clearpage \begin{displaymath}$ \tilde{K}_{VS}\end{displaym... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5853 ...ge \clearpage \begin{displaymath}$\tilde {K}_{VS}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5853 ...laymath}$\tilde{K}_{VS}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [767 ] ! Missing } inserted. } $ l.5859 {\samepage \clearpage \begin{displaymath}$ \tilde{A}_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5859 ...ge \clearpage \begin{displaymath}$\tilde {A}_i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5859 ...isplaymath}$\tilde{A}_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [768 ] ! Missing } inserted. } $ l.5865 {\samepage \clearpage \begin{displaymath}$ A_i\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5865 ...mepage \clearpage \begin{displaymath}$A_ i\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5865 ...\begin{displaymath}$A_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [769 ] ! Missing } inserted. } $ l.5871 {\samepage \clearpage \begin{displaymath}$ A_I, S_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5871 ...mepage \clearpage \begin{displaymath}$A_ I, S_B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5871 ...n{displaymath}$A_I, S_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [770 ] ! Missing } inserted. } $ l.5877 {\samepage \clearpage \begin{displaymath}$ \tilde{A}_I, \tilde{S}_B\en... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5877 ...ge \clearpage \begin{displaymath}$\tilde {A}_I, \tilde{S}_B\end{dis... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5877 ...tilde{A}_I, \tilde{S}_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [771 ] ! Missing } inserted. } $ l.5883 {\samepage \clearpage \begin{displaymath}$ \tilde{S}_B\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5883 ...ge \clearpage \begin{displaymath}$\tilde {S}_B\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5883 ...isplaymath}$\tilde{S}_B\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [772 ] ! Missing } inserted. } $ l.5889 {\samepage \clearpage \begin{displaymath}$ \tilde{A}_H\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5889 ...ge \clearpage \begin{displaymath}$\tilde {A}_H\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5889 ...isplaymath}$\tilde{A}_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [773 ] ! Missing } inserted. } $ l.5895 {\samepage \clearpage \begin{displaymath}$ \tilde{A}_H^{-1}A_H\end{dis... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5895 ...ge \clearpage \begin{displaymath}$\tilde {A}_H^{-1}A_H\end{displaym... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5895 ...th}$\tilde{A}_H^{-1}A_H\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [774 ] ! Missing } inserted. } $ l.5901 {\samepage \clearpage \begin{displaymath}$ \tilde{A}_i^{-1}A_i\end{dis... I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ \mathaccent \tilde ->\mathaccent "707E l.5901 ...ge \clearpage \begin{displaymath}$\tilde {A}_i^{-1}A_i\end{displaym... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5901 ...th}$\tilde{A}_i^{-1}A_i\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [775 ] ! Missing } inserted. } $ l.5907 {\samepage \clearpage \begin{displaymath}$ A_{IB}\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! Missing $ inserted. $ _ l.5907 ...mepage \clearpage \begin{displaymath}$A_ {IB}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \]->\relax \ifmmode \egroup $\hfil \egroup \end {trivlist}\else \@badmath \fi \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.5907 ...gin{displaymath}$A_{IB}\end{displaymath} I've deleted a group-closing symbol because it seems to be spurious, as in `$x}$'. But perhaps the } is legitimate and you forgot something else, as in `\hbox{$x}'. In such cases the way to recover is to insert both the forgotten and the deleted material, e.g., by typing `I$}'. [776 ] [777 ] [778 ] [779 ] [780 ] [781 ] [782 ] [783 ] [784 ] [785 ] [786 ] [787 ] [788 ] [789 ] [790 ] [791 ] [792 ] [793 ] [794 ] [795 ] [796 ] [797 ] [798 ] [799 ] [800 ] [801 ] [802 ] [803 ] [804 ] [805 ] [806 ] [807 ] [808 ] [809 ] [810 ] [811 ] [812 ] [813 ] [814 ] [815 ] [816 ] [817 ] [818 ] [819 ] [820 ] Overfull \hbox (53.17516pt too wide) detected at line 6230 $ []$ \hbox(23.82779+18.82779)x373.215 .\mathon .\glue 25.0 .\hbox(23.82779+18.82779)x401.39015 ..\tenmi A ..\glue(\thickmuskip) 2.77771 plus 2.77771 ..\tenrm = ..\glue(\thickmuskip) 2.77771 plus 2.77771 ..\hbox(23.82779+18.82779)x94.44345 ...\vbox(0.39998+41.60042)x6.66669, shifted -23.10022 [] ...\vbox(23.82779+18.82779)x81.11008 [] ...\vbox(0.39998+41.60042)x6.66669, shifted -23.10022 [] ..etc. .\mathoff .\glue 0.0 plus 1.0fil [821 ] [822 ] [823 ] [824 ] [825 ] [826 ] [827 ] [828 ] [829 ] [830 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! \begin{displaymath} ended by \end{document}. \@latexerr ...for immediate help.}\errmessage {#1} \@checkend ...empa \@currenvir \else \@badend {#1} \fi \enddocument ->\@checkend {document} \clearpage \begingroup \if@filesw \immed... \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.6306 \end{document} Your command was ignored. Type I to replace it with another command, or to continue without it. [831 ] (22900_images.aux) LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (\end occurred inside a group at level 26) Here is how much of TeX's memory you used: 940 strings out of 4479 12623 string characters out of 63194 51920 words of memory out of 262141 2812 multiletter control sequences out of 9500 19164 words of font info for 73 fonts, out of 72000 for 255 15 hyphenation exceptions out of 607 13i,17n,17p,321b,534s stack positions out of 300i,40n,60p,3000b,4000s Output written on 22900_images.dvi (831 pages, 148316 bytes).