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