This is TeX, C Version 3.141 (format=lplain 93.2.23) 29 NOV 1994 15:18 **18064_images.tex (18064_images.tex LaTeX Version 2.09 <25 March 1992> (/usr/local/lib/TeX/inputs/report.sty Standard Document Style `report' <14 Jan 92>. (/usr/local/lib/TeX/inputs/rep11.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/titlepag.sty Document Style Option `titlepage' -- Released 16 June 1991. )) \c@footnoteapproxerrorbound=\count88 \c@footnoteDEC5000=\count89 \colwidth=\skip41 \c@descitem=\count90 \@indexfileK=\write3 Writing index file 18064_images.idxK \@indexfileR=\write4 Writing index file 18064_images.idxR (/home/judi/lib/TeX/inputs/psfig.tex \@unused=\write5 psfig/tex 1.2-dvi2ps-li \ps@stream=\read1 ) (18064_images.aux) [1 ] [2 ] [3 ] [4 ] [5 ] [6 ] [5 ] [6 ] [7 ] [8 ] [11 ] [12 ] Overfull \hbox (6.79999pt too wide) in paragraph at lines 330--332 [][] \hbox(24.60416+19.12917)x469.75499 .\hbox(0.0+0.0)x0.0 .\hbox(24.60416+19.12917)x476.55498 ..\hbox(43.73332+0.0)x476.55498, shifted 19.12917 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See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... ...etric case)<<1126>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1720 } 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... ...etric case)<<1126>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1720 } 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. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...etric case)<<1126>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1720 } 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. ! Display math should end with $$. \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...etric case)<<1126>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1720 } The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. [174 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... ...itian case)<<1130>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1726 } 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... ...itian case)<<1130>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1726 } 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. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...itian case)<<1130>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1726 } 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. ! Display math should end with $$. \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...itian case)<<1130>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1726 } The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. [175 ] [176 ] [177 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... ...etric case)<<1137>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1745 } 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... ...etric case)<<1137>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1745 } 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. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...etric case)<<1137>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1745 } 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. ! Display math should end with $$. \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...etric case)<<1137>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1745 } The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. [178 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... ...itian case)<<1141>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1751 } 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... ...itian case)<<1141>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1751 } 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. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...itian case)<<1141>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1751 } 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. ! Display math should end with $$. \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...itian case)<<1141>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1751 } The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. [179 ] [180 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... ...etric case)<<1145>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1763 } 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... ...etric case)<<1145>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1763 } 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. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...etric case)<<1145>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1763 } 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. ! Display math should end with $$. \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...etric case)<<1145>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1763 } The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. [181 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... ...itian case)<<1147>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1769 } 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... ...itian case)<<1147>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1769 } 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. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...itian case)<<1147>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1769 } 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. ! Display math should end with $$. \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... ...itian case)<<1147>\end {displaymath} \mbox #1->\leavevmode \hbox {#1 } l.1769 } The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. [182 ] [183 ] [184 ] [185 ] [186 ] [187 ] Overfull \hbox (35.53146pt too wide) in paragraph at lines 1808--1872 [] \hbox(262.93729+257.46231)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(262.93729+257.46231)x505.28645 ..\mathon ..\vbox(262.93729+257.46231)x505.28645 ...\rule(0.4+0.0)x505.28645 ...\hbox(9.51996+4.08003)x505.28645 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x505.28645 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [188] Overfull \hbox (32.18564pt too wide) in paragraph at lines 1883--1939 [] \hbox(228.93732+223.46233)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(228.93732+223.46233)x501.94063 ..\mathon ..\vbox(228.93732+223.46233)x501.94063 ...\rule(0.4+0.0)x501.94063 ...\hbox(9.51996+4.08003)x501.94063 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x501.94063 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [189] [190 ] [191 ] [192 ] [193 ] [194 ] [195 ] [196 ] [197 ] [198 ] [199 ] [200 ] [201 ] [202 ] [203 ] [204 ] [205 ] [206 ] [207 ] [208 ] [209 ] [210 ] [211 ] [212 ] [213 ] [214 ] [215 ] [216 ] [217 ] [218 ] [219 ] [220 ] [221 ] [222 ] [223 ] [224 ] [225 ] [226 ] [227 ] [228 ] [229 ] [230 ] [231 ] [232 ] Overfull \hbox (20.47522pt too wide) in paragraph at lines 2233--2263 [] \hbox(112.9374+107.46242)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(112.9374+107.46242)x490.23021 ..\mathon ..\vbox(112.9374+107.46242)x490.23021 ...\rule(0.4+0.0)x490.23021 ...\hbox(9.51996+4.08003)x490.23021 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x490.23021 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [233] [234 ] [235 ] [236 ] [237 ] [238 ] [239 ] [240 ] [241 ] [242 ] [243 ] [244 ] [245 ] [246 ] [247 ] [248 ] [249 ] [250 ] [251 ] [252 ] [253 ] [254 ] [255 ] [256 ] [257 ] [258 ] [259 ] [260 ] [261 ] [262 ] [263 ] [264 ] [265 ] [266 ] [267 ] [268 ] [269 ] [270 ] [271 ] [272 ] [273 ] [274 ] [275 ] [276 ] [277 ] [278 ] [279 ] [280 ] [281 ] [282 ] [283 ] [284 ] Overfull \hbox (6.55927pt too wide) in paragraph at lines 2629--2663 [] \hbox(208.53732+203.06235)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(208.53732+203.06235)x476.31425 ..\mathon ..\vbox(208.53732+203.06235)x476.31425 ...\rule(0.4+0.0)x476.31425 ...\hbox(9.51996+4.08003)x476.31425 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x476.31425 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [285] [286 ] [287 ] [288 ] [289 ] [290 ] [291 ] [292 ] [293 ] [294 ] [295 ] [296 ] [297 ] [298 ] [299 ] [300 ] [301 ] [302 ] [303 ] [304 ] [305 ] [306 ] Overfull \hbox (1.54048pt too wide) in paragraph at lines 2816--2840 [] \hbox(146.73738+141.26239)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(146.73738+141.26239)x471.29547 ..\mathon ..\vbox(146.73738+141.26239)x471.29547 ...\rule(0.4+0.0)x471.29547 ...\hbox(9.51996+4.08003)x471.29547 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x471.29547 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [307] [308 ] [309 ] [310 ] [311 ] [312 ] [313 ] [314 ] [315 ] [316 ] [317 ] [318 ] [319 ] [320 ] [321 ] [322 ] [323 ] [324 ] [325 ] [326 ] [327 ] [328 ] [329 ] [330 ] [331 ] [332 ] [333] [334 ] [335 ] [336 ] [337 ] [338 ] [339 ] [340 ] [341 ] [342 ] [343 ] [344 ] [345] [346 ] [347 ] [348 ] [349 ] [350 ] [351 ] [352 ] [353 ] [354 ] [355] [356 ] [357 ] [358 ] [359 ] [360 ] [361 ] [362 ] [363 ] [364 ] [365 ] [366 ] [367 ] [368 ] [369 ] [370 ] [371 ] [372 ] [373 ] [374 ] [375 ] [376 ] [377 ] [378 ] [379 ] [380 ] [381 ] [382 ] [383 ] [384 ] [385 ] [386 ] [387 ] [388 ] [389 ] [390] [391 ] [392 ] [393 ] [394 ] [395 ] [396 ] [397 ] [398 ] [399] [400 ] [401 ] [402 ] [403 ] [404 ] [405 ] [406] [407 ] [408 ] ! Display math should end with $$. j l.3621 {\samepage \clearpage \begin{displaymath}$j ^{th}\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ ^ l.3621 ...mepage \clearpage \begin{displaymath}$j^ {th}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3621 ...gin{displaymath}$j^{th}\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.3621 ...gin{displaymath}$j^{th}\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. [409 ] [410 ] ! Display math should end with $$. U l.3635 {\samepage \clearpage \begin{displaymath}$U _{11}\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3635 ...mepage \clearpage \begin{displaymath}$U_ {11}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3635 ...gin{displaymath}$U_{11}\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.3635 ...gin{displaymath}$U_{11}\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. [411 ] ! Display math should end with $$. u l.3641 {\samepage \clearpage \begin{displaymath}$u _j\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3641 ...mepage \clearpage \begin{displaymath}$u_ j\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3641 ...\begin{displaymath}$u_j\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.3641 ...\begin{displaymath}$u_j\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. [412 ] ! Display math should end with $$. u l.3647 {\samepage \clearpage \begin{displaymath}$u _{jj}\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3647 ...mepage \clearpage \begin{displaymath}$u_ {jj}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3647 ...gin{displaymath}$u_{jj}\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.3647 ...gin{displaymath}$u_{jj}\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. [413 ] [414 ] [415 ] [416 ] ! Display math should end with $$. U l.3690 {\samepage \clearpage \begin{displaymath}$U _{12}\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3690 ...mepage \clearpage \begin{displaymath}$U_ {12}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3690 ...gin{displaymath}$U_{12}\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.3690 ...gin{displaymath}$U_{12}\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. [417 ] [418 ] ! Display math should end with $$. U l.3703 {\samepage \clearpage \begin{displaymath}$U _{22}\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3703 ...mepage \clearpage \begin{displaymath}$U_ {22}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3703 ...gin{displaymath}$U_{22}\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.3703 ...gin{displaymath}$U_{22}\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. [419 ] [420 ] ! Display math should end with $$. A l.3716 {\samepage \clearpage \begin{displaymath}$A _{22}\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3716 ...mepage \clearpage \begin{displaymath}$A_ {22}\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3716 ...gin{displaymath}$A_{22}\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.3716 ...gin{displaymath}$A_{22}\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. [421 ] ! Display math should end with $$. U l.3722 {\samepage \clearpage \begin{displaymath}$U \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3722 ...e \begin{displaymath}$U\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [422 ] ! Display math should end with $$. i l.3728 {\samepage \clearpage \begin{displaymath}$i \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3728 ...e \begin{displaymath}$i\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [423 ] ! Display math should end with $$. j l.3734 {\samepage \clearpage \begin{displaymath}$j \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3734 ...e \begin{displaymath}$j\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [424 ] ! Display math should end with $$. k l.3740 {\samepage \clearpage \begin{displaymath}$k \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3740 ...e \begin{displaymath}$k\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [425 ] [426] [427] [428] [429 ] [430] [431 ] ! Display math should end with $$. v l.3848 {\samepage \clearpage \begin{displaymath}$v \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3848 ...e \begin{displaymath}$v\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [432 ] ! Display math should end with $$. \tau l.3854 ...page \clearpage \begin{displaymath}$\tau \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ \tau l.3854 ...page \clearpage \begin{displaymath}$\tau \end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3854 ...begin{displaymath}$\tau\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.3854 ...begin{displaymath}$\tau\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. [433 ] ! Display math should end with $$. b l.3860 {\samepage \clearpage \begin{displaymath}$b \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3860 ...e \begin{displaymath}$b\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [434 ] ! Display math should end with $$. n l.3866 {\samepage \clearpage \begin{displaymath}$n \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3866 ...e \begin{displaymath}$n\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [435 ] [436 ] ! Display math should end with $$. V l.3879 {\samepage \clearpage \begin{displaymath}$V \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3879 ...e \begin{displaymath}$V\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [437 ] ! Display math should end with $$. v l.3885 {\samepage \clearpage \begin{displaymath}$v _1, v_2, \ldots , v_b\end{... The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3885 ...mepage \clearpage \begin{displaymath}$v_ 1, v_2, \ldots , v_b\end{d... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3885 ...$v_1, v_2, \ldots , v_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.3885 ...$v_1, v_2, \ldots , 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. [438 ] ! Display math should end with $$. H l.3891 {\samepage \clearpage \begin{displaymath}$H _1, H_2, The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.3891 ...mepage \clearpage \begin{displaymath}$H_ 1, H_2, I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3892 \ldots , H_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.3892 \ldots , H_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. [439 ] ! Display math should end with $$. T l.3898 {\samepage \clearpage \begin{displaymath}$T \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3898 ...e \begin{displaymath}$T\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [440 ] LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... \@preamble ...colsep {\hfil \ignorespaces \@sharp \unskip \hfil }\hskip \tab... \multicolumn ...x \@@endpbox \@arstrut \@preamble \hbox {}\endgroup \ignores... l.3909 ... \begin{displaymath}$n\end{displaymath}} \\ \cline{4-5} 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... \@preamble ...colsep {\hfil \ignorespaces \@sharp \unskip \hfil }\hskip \tab... \multicolumn ...x \@@endpbox \@arstrut \@preamble \hbox {}\endgroup \ignores... l.3909 ... \begin{displaymath}$n\end{displaymath}} \\ \cline{4-5} 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. [441] ! Missing { inserted. $ \]->\relax \ifmmode \ifinner \@badmath \else $ $\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3930 ...tarrow A - U X^T - X U^\end{displaymath} A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) ! Missing } inserted. } $ \]->\relax \ifmmode \ifinner \@badmath \else $ $\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3930 ...tarrow A - U X^T - X 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. [442 ] ! Missing { inserted. $ \]->\relax \ifmmode \ifinner \@badmath \else $ $\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3936 ...tarrow A - U X^T - Y V^\end{displaymath} A left brace was mandatory here, so I've put one in. You might want to delete and/or insert some corrections so that I will find a matching right brace soon. (If you're confused by all this, try typing `I}' now.) ! Missing } inserted. } $ \]->\relax \ifmmode \ifinner \@badmath \else $ $\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.3936 ...tarrow A - U X^T - Y 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. [443 ] [444 ] [445 ] [446] [447 ] [448 ] [449 ] [450 ] [451 ] [452 ] [453 ] [454 ] [455 ] [456 ] [457 ] [458 ] [459 ] [460 ] [461 ] [462 ] [463 ] [464 ] [465 ] [466 ] [467 ] [468 ] [469 ] [470 ] [471 ] Overfull \hbox (13.49612pt too wide) in paragraph at lines 4146--4169 [] \hbox(81.09999+76.09999)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(81.09999+76.09999)x483.25111 ..\mathon ..\vbox(81.09999+76.09999)x483.25111 ...\rule(0.4+0.0)x483.25111 ...\hbox(8.39996+3.60004)x483.25111 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x483.25111 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [472] [473] [474] [475] Overfull \hbox (43.05984pt too wide) in paragraph at lines 4260--4285 [] \hbox(85.17442+79.69943)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(85.17442+79.69943)x512.81483 ..\mathon ..\vbox(85.17442+79.69943)x512.81483 ...\rule(0.4+0.0)x512.81483 ...\hbox(9.51996+4.08003)x512.81483 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x512.81483 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [476] Overfull \hbox (46.06325pt too wide) in paragraph at lines 4295--4320 [] \hbox(85.17442+79.69943)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(85.17442+79.69943)x515.81824 ..\mathon ..\vbox(85.17442+79.69943)x515.81824 ...\rule(0.4+0.0)x515.81824 ...\hbox(9.51996+4.08003)x515.81824 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x515.81824 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 10000 .\glue(\parfillskip) 0.0 .\glue(\rightskip) 0.0 plus 1.0fil [477] Overfull \hbox (37.58484pt too wide) in paragraph at lines 4330--4355 [] \hbox(85.17442+79.69943)x469.75499 .\glue(\leftskip) 0.0 plus 1.0fil .\hbox(85.17442+79.69943)x507.33983 ..\mathon ..\vbox(85.17442+79.69943)x507.33983 ...\rule(0.4+0.0)x507.33983 ...\hbox(9.51996+4.08003)x507.33983 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x507.33983 [] ...\glue -0.4 ...etc. ..\mathoff .\penalty 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[977 ] [978 ] [979 ] [980 ] [981 ] [982 ] [983 ] [984 ] [985 ] [986 ] [987 ] [988 ] [989 ] [990 ] [991 ] ! Display math should end with $$. \mathaccent \widehat ->\mathaccent "0362 \Xhat ->\widehat X l.7945 ...age \clearpage \begin{displaymath}$\Xhat \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ \mathaccent \widehat ->\mathaccent "0362 \Xhat ->\widehat X l.7945 ...age \clearpage \begin{displaymath}$\Xhat \end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7945 ...egin{displaymath}$\Xhat\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.7945 ...egin{displaymath}$\Xhat\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. [992 ] ! Display math should end with $$. T l.7951 {\samepage \clearpage \begin{displaymath}$T X=B\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7951 ...begin{displaymath}$TX=B\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [993 ] ! Display math should end with $$. m l.7957 {\samepage \clearpage \begin{displaymath}$m \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7957 ...e \begin{displaymath}$m\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [994 ] ! Display math should end with $$. B l.7963 {\samepage \clearpage \begin{displaymath}$B \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7963 ...e \begin{displaymath}$B\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [995 ] ! Display math should end with $$. p l.7969 {\samepage \clearpage \begin{displaymath}$p \end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]...finner \@badmath \else $$\fi \else \@badmath \fi \ignorespaces \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7969 ...e \begin{displaymath}$p\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. [996 ] [997 ] ! Display math should end with $$. c l.7983 {\samepage \clearpage \begin{displaymath}$c _1(m,n,p) = n^2\end{displa... The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.7983 ...mepage \clearpage \begin{displaymath}$c_ 1(m,n,p) = n^2\end{display... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7983 ...ymath}$c_1(m,n,p) = n^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.7983 ...ymath}$c_1(m,n,p) = n^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. [998 ] ! Display math should end with $$. c l.7989 {\samepage \clearpage \begin{displaymath}$c _2(m,p)= m(m+1)\end{displa... The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.7989 ...mepage \clearpage \begin{displaymath}$c_ 2(m,p)= m(m+1)\end{display... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7989 ...ymath}$c_2(m,p)= m(m+1)\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.7989 ...ymath}$c_2(m,p)= m(m+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. [999 ] ! Display math should end with $$. c l.7995 {\samepage \clearpage \begin{displaymath}$c _1\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.7995 ...mepage \clearpage \begin{displaymath}$c_ 1\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.7995 ...\begin{displaymath}$c_1\end{displaymath} Your command was ignored. Type I to replace it with another command, or to continue without it. ! Missing $ inserted. $ \endgroup \end ...ndafter \endgroup \if@endpe \@doendpe \fi \if@ignore \global \@ignor... l.7995 ...\begin{displaymath}$c_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. [1000 ] ! Display math should end with $$. c l.8001 {\samepage \clearpage \begin{displaymath}$c _2\end{displaymath} The `$' that I just saw supposedly matches a previous `$$'. So I shall assume that you typed `$$' both times. ! Missing $ inserted. $ _ l.8001 ...mepage \clearpage \begin{displaymath}$c_ 2\end{displaymath} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX error. See LaTeX manual for explanation. Type H for immediate help. ! Bad math environment delimiter. \@latexerr ...for immediate help.}\errmessage {#1} \]->\relax \ifmmode \ifinner \@badmath \else $$\fi \else \@badmath \fi \igno... \enddisplaymath ->\] \global \@ignoretrue \end #1->\csname end#1\endcsname \@checkend {#1}\expandafter \endgroup \if@e... l.8001 ...\begin{displaymath}$c_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.8001 ...\begin{displaymath}$c_2\end{displaymath} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. [1001 ] [1002 ] [1003 ] [1004 ] [1005 ] [1006 ] [1007 ] [1008 ] [1009 ] [1010 ] [1011 ] [1012 ] [1013 ] [1014 ] [1015 ] [1016 ] [1017 ] [1018 ] [1019 ] [1020 ] [1021 ] [1022 ] [1023 ] [1024 ] [1025 ] [1026 ] [1027 ] [1028 ] [1029 ] [1030 ] [1031 ] [1032 ] [1033 ] [1034 ] [1035 ] [1036 ] [1037 ] [1038 ] [1039 ] [1040 ] [1041 ] [1042 ] [1043 ] [1044 ] [1045 ] [1046 ] [1047 ] [1048 ] [1049 ] [1050 ] [1051] [1052 ] [1053 ] [1054 ] [1055 ] psfig: searching qrcray.eps for bounding box psfig: including qrcray.eps [1056] [1057 ] [1058 ] Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53748+305.06248)x469.75499, glue set - 0.81352 ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53748+305.06248)x467.09477 ...\mathon ...\vbox(310.53748+305.06248)x467.09477 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1059 ] Underfull \hbox (badness 1320) in paragraph at lines 8750--8753 \elvmi B$ \elvrm or $\elvmi A[]X \elvrm = \elvmi B$\elvrm , us-ing the $\elvmi LU$ \elvrm fac-tor-iza-tion com-puted by \hbox(9.44032+2.12917)x325.215, glue set 2.36395 .\elvmi B .\kern0.54938 .\mathoff .\glue 3.65 plus 1.825 minus 1.21666 .\elvrm o .etc. Overfull \hbox (0.9593pt too wide) in paragraph at lines 8683--8756 [][] \hbox(310.53745+305.06247)x469.75499, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\hbox(310.53745+305.06247)x468.28096 ..\mathon ..\vbox(310.53745+305.06247)x468.28096 ...\rule(0.4+0.0)x468.28096 ...\hbox(9.51996+4.08003)x468.28096 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x468.28096 [] ...\glue -0.4 ...etc. ..\mathoff .\glue 3.65 plus 1.825 minus 1.21666 .\penalty 10000 .\glue(\parfillskip) 0.0 plus 1.0fil .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53745+305.06247)x469.75499, glue set - 1.0 ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53745+305.06247)x468.28096 ...\mathon ...\vbox(310.53745+305.06247)x468.28096 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1060 ] Overfull \hbox (6.00854pt too wide) in paragraph at lines 8760--8831 [][] \hbox(303.73746+298.26248)x469.75499 .\hbox(0.0+0.0)x0.0 .\hbox(303.73746+298.26248)x475.76353 ..\mathon ..\vbox(303.73746+298.26248)x475.76353 ...\rule(0.4+0.0)x475.76353 ...\hbox(9.51996+4.08003)x475.76353 [] ...\glue(\lineskip) 0.0 ...\hbox(0.4+0.0)x475.76353 [] ...\glue -0.4 ...etc. ..\mathoff .\glue(\rightskip) 0.0 Underfull \hbox (badness 10000) in paragraph at lines 8760--8831 \hbox(0.0+0.0)x469.75499 .\glue(\rightskip) 0.0 [1061 ] Underfull \hbox (badness 1308) in paragraph at lines 8893--8896 []\elvrm Computes row and col-umn scal-ings to equi-li-brate a sym-met- \hbox(7.60416+2.12917)x325.215, glue set 2.35832 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. [1062 ] Underfull \hbox (badness 1308) in paragraph at lines 8937--8940 []\elvrm Computes row and col-umn scal-ings to equi-li-brate a sym-met- \hbox(7.60416+2.12917)x325.215, glue set 2.35832 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \hbox (badness 1430) in paragraph at lines 8956--8959 []\elvrm Computes the in-verse of a sym-met-ric/Hermitian pos-i-tive def- \hbox(8.2125+2.73749)x325.215, glue set 2.43094 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \hbox (badness 3088) in paragraph at lines 8956--8959 \elvrm i-nite ma-trix, us-ing the Cholesky fac-tor-iza-tion com-puted by \hbox(7.60416+2.12917)x325.215, glue set 3.14021 .\elvrm i .\discretionary ..\elvrm - .\elvrm n .\elvrm i .\elvrm t .etc. Underfull \hbox (badness 1308) in paragraph at lines 8968--8971 []\elvrm Computes row and col-umn scal-ings to equi-li-brate a sym-met- \hbox(7.60416+2.12917)x325.215, glue set 2.35832 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53748+305.0625)x469.75499, glue set 0.59192fil ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53748+305.0625)x465.51308 ...\mathon ...\vbox(310.53748+305.0625)x465.51308 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1063 ] Overfull \hbox (1.15549pt too wide) in paragraph at lines 9043--9043 []\elvbf CHBEVD[]| \hbox(9.51996+4.08003)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf H .\elvbf B .\elvbf E .etc. Overfull \hbox (1.01862pt too wide) in paragraph at lines 9047--9047 []\elvbf CHBEVX[]| \hbox(9.51996+4.08003)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf H .\elvbf B .\elvbf E .etc. Underfull \hbox (badness 1389) in paragraph at lines 9048--9050 []\elvrm Computes se-lected eigen-val-ues and eigen-vec-tors of a sym-met- \hbox(7.60416+2.12917)x325.215, glue set 2.40712 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53748+305.0625)x469.75499, glue set 0.28741fil ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53748+305.0625)x465.81758 ...\mathon ...\vbox(310.53748+305.0625)x465.81758 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1064 ] Underfull \hbox (badness 10000) in paragraph at lines 9074--9074 []\elvrm CSPCON[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm P .\elvrm C .etc. Underfull \hbox (badness 2310) in paragraph at lines 9075--9079 []\elvrm Estimates the re-cip-ro-cal of the con-di-tion num-ber of a real \hbox(7.60416+2.12917)x325.215, glue set 2.84999 .\hbox(0.0+0.0)x0.0 .\elvrm E .\elvrm s .\elvrm t .\elvrm i .etc. Underfull \hbox (badness 2042) in paragraph at lines 9075--9079 \elvrm trix in packed stor-age, us-ing the fac-tor-iza-tion com-puted by \hbox(7.60416+2.12917)x325.215, glue set 2.73737 .\elvrm t .\elvrm r .\elvrm i .\elvrm x .\glue 3.65 plus 1.825 minus 1.21666 .etc. Overfull \hbox (0.8057pt too wide) in paragraph at lines 9082--9082 []\elvbf CHPEVD[]| \hbox(9.51996+4.08003)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf H .\elvbf P .\elvbf E .etc. Overfull \hbox (0.66882pt too wide) in paragraph at lines 9086--9086 []\elvbf CHPEVX[]| \hbox(9.51996+4.08003)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf H .\elvbf P .\elvbf E .etc. Underfull \hbox (badness 1389) in paragraph at lines 9087--9089 []\elvrm Computes se-lected eigen-val-ues and eigen-vec-tors of a sym-met- \hbox(7.60416+2.12917)x325.215, glue set 2.40712 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \hbox (badness 10000) in paragraph at lines 9100--9100 []\elvrm CSPRFS[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm P .\elvrm R .etc. Underfull \hbox (badness 10000) in paragraph at lines 9107--9107 []\elvbf CSPSV[] \hbox(7.51291+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf S .\elvbf P .\elvbf S .etc. Underfull \hbox (badness 10000) in paragraph at lines 9112--9112 []\elvbf CSPSVX[] \hbox(7.51291+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf S .\elvbf P .\elvbf S .etc. Underfull \hbox (badness 10000) in paragraph at lines 9123--9123 []\elvrm CSPTRF[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm P .\elvrm T .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53749+305.06252)x469.75499, glue set 0.6372fil ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53749+305.06252)x465.46779 ...\mathon ...\vbox(310.53749+305.06252)x465.46779 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1065 ] Underfull \hbox (badness 10000) in paragraph at lines 9140--9140 []\elvrm CSPTRI[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm P .\elvrm T .etc. Underfull \hbox (badness 2277) in paragraph at lines 9141--9145 []\elvrm Computes the in-verse of a real sym-met-ric/complex sym-met- \hbox(8.2125+2.73749)x325.215, glue set 2.8357 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \hbox (badness 10000) in paragraph at lines 9145--9145 []\elvrm CSPTRS[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm P .\elvrm T .etc. Underfull \hbox (badness 1297) in paragraph at lines 9146--9151 \elvrm in-def-i-nite sys-tem of lin-ear equa-tions $\elvmi AX \elvrm = \elvmi B $\elvrm , where $\elvmi A$ \elvrm is \hbox(7.60416+2.12917)x325.215, glue set 2.35162 .\elvrm i .\elvrm n .\discretionary ..\elvrm - .\elvrm d .\elvrm e .etc. Underfull \hbox (badness 1668) in paragraph at lines 9146--9151 \elvrm held in packed stor-age, us-ing the fac-tor-iza-tion com-puted by \hbox(7.60416+2.12917)x325.215, glue set 2.55756 .\elvrm h .\elvrm e .\elvrm l .\elvrm d .\glue 3.65 plus 1.825 minus 1.21666 .etc. Underfull \hbox (badness 10000) in paragraph at lines 9177--9177 []\elvrm CSYCON[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm Y .\elvrm C .etc. Underfull \hbox (badness 1389) in paragraph at lines 9189--9191 []\elvrm Computes se-lected eigen-val-ues and eigen-vec-tors of a sym-met- \hbox(7.60416+2.12917)x325.215, glue set 2.40712 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. [1066 ] Underfull \hbox (badness 10000) in paragraph at lines 9211--9211 []\elvrm CSYRFS[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm Y .\elvrm R .etc. Underfull \hbox (badness 10000) in paragraph at lines 9217--9217 []\elvbf CSYSV[] \hbox(7.51291+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf S .\elvbf Y .\elvbf S .etc. Underfull \hbox (badness 10000) in paragraph at lines 9221--9221 []\elvbf CSYSVX[] \hbox(7.51291+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvbf C .\elvbf S .\elvbf Y .\elvbf S .etc. Underfull \hbox (badness 10000) in paragraph at lines 9231--9231 []\elvrm CSYTRF[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm Y .\elvrm T .etc. Underfull \hbox (badness 10000) in paragraph at lines 9235--9235 []\elvrm CSYTRI[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm Y .\elvrm T .etc. Underfull \hbox (badness 2277) in paragraph at lines 9236--9239 []\elvrm Computes the in-verse of a real sym-met-ric/complex sym-met- \hbox(8.2125+2.73749)x325.215, glue set 2.8357 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm o .\elvrm m .\elvrm p .etc. Underfull \hbox (badness 10000) in paragraph at lines 9239--9239 []\elvrm CSYTRS[] \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm Y .\elvrm T .etc. [1067 ] Underfull \hbox (badness 1292) in paragraph at lines 9295--9297 []\elvrm Reorders the Schur fac-tor-iza-tion of a ma-trix by an or-thog-o- \hbox(7.60416+2.12917)x325.215, glue set 2.34999 .\hbox(0.0+0.0)x0.0 .\elvrm R .\elvrm e .\elvrm o .\elvrm r .etc. [1068 ] [1069 ] Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x0.0 .\write-{} .\glue 0.0 [1070 ] Overfull \vbox (10.9049pt too high) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\glue(\topskip) 0.0 .\hbox(317.33745+311.86246)x469.75499, glue set 12.11903fil ..\hbox(0.0+0.0)x0.0 ..\hbox(317.33745+311.86246)x453.98596 ...\mathon ...\vbox(317.33745+311.86246)x453.98596 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1071] Underfull \hbox (badness 1742) in paragraph at lines 9514--9517 \elvrm ma-trix in Schur canon-i-cal form, by an or-thog-o-nal sim-i-lar-ity \hbox(7.60416+2.12917)x325.215, glue set 2.59595 .\elvrm m .\elvrm a .\discretionary ..\elvrm - .\elvrm t .\elvrm r .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53748+305.06248)x469.75499, glue set 3.16139fil ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53748+305.06248)x462.9436 ...\mathon ...\vbox(310.53748+305.06248)x462.9436 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1072 ] Underfull \hbox (badness 10000) in paragraph at lines 9585--9585 []\elvrm CLANSB \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 9589--9589 []\elvrm CLANSP \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 9598--9598 []\elvrm CLANSY \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 2726) in paragraph at lines 9622--9624 []\elvrm Returns $[]$, avoid-ing un-nec-es-sary over-flow or harm-ful \hbox(9.94487+2.45522)x325.215, glue set 3.01262 .\hbox(0.0+0.0)x0.0 .\elvrm R .\elvrm e .\elvrm t .\elvrm u .etc. [1073 ] Underfull \hbox (badness 1845) in paragraph at lines 9673--9675 []\elvrm Generates a vec-tor of plane ro-ta-tions with real cosines and \hbox(7.60416+2.12917)x325.215, glue set 2.64351 .\hbox(0.0+0.0)x0.0 .\elvrm G .\elvrm e .\elvrm n .\elvrm e .etc. [1074 ] Underfull \hbox (badness 10000) in paragraph at lines 9737--9737 []\elvrm CLASYF \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm L .\elvrm A .\elvrm S .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\write-{} .\glue(\topskip) 0.0 .\hbox(310.53748+305.0625)x469.75499, glue set 3.38953fil ..\hbox(0.0+0.0)x0.0 ..\hbox(310.53748+305.0625)x462.71547 ...\mathon ...\vbox(310.53748+305.0625)x462.71547 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1075 ] Underfull \hbox (badness 10000) in paragraph at lines 9832--9832 []\elvrm CSYTF2 \hbox(7.48248+0.0)x54.2025 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm S .\elvrm Y .\elvrm T .etc. [1076 ] [1077 ] [1078 ] [1079 ] [1080 ] [1081 ] [1082 ] [1083 ] [1084 ] [1085 ] Underfull \hbox (badness 10000) in paragraph at lines 10077--10077 []\elvrm SLANGB \hbox(7.48248+0.0)x50.58878 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10077--10077 \elvrm SG-B-TRF[][] \hbox(7.48248+0.0)x50.58878 .\elvrm S .\elvrm G .\discretionary ..\elvrm - .\elvrm B .\discretionary ..\elvrm - .etc. Underfull \hbox (badness 10000) in paragraph at lines 10091--10091 []\elvrm SLANGE \hbox(7.48248+0.0)x50.58878 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10091--10091 \elvrm SGETRF[][] \hbox(7.48248+0.0)x50.58878 .\elvrm S .\elvrm G .\elvrm E .\elvrm T .\elvrm R .etc. Underfull \hbox (badness 10000) in paragraph at lines 10107--10107 []\elvrm SLANSB \hbox(7.48248+0.0)x50.58878 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10107--10107 \elvrm SPB-TRF[][] \hbox(7.48248+0.0)x50.58878 .\elvrm S .\elvrm P .\elvrm B .\discretionary ..\elvrm - .\elvrm T .etc. Underfull \hbox (badness 10000) in paragraph at lines 10122--10122 []\elvrm SLANSY \hbox(7.48248+0.0)x50.58878 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10122--10122 \elvrm SPOTRF[][] \hbox(7.48248+0.0)x50.58878 .\elvrm S .\elvrm P .\elvrm O .\elvrm T .\elvrm R .etc. Underfull \hbox (badness 10000) in paragraph at lines 10138--10138 []\elvrm SLANSY \hbox(7.48248+0.0)x50.58878 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10138--10138 \elvrm SPP-TRF[][] \hbox(7.48248+0.0)x50.58878 .\elvrm S .\elvrm P .\elvrm P .\discretionary ..\elvrm - .\elvrm T .etc. Overfull \hbox (1.59291pt too wide) in paragraph at lines 10058--10144 [][] \hbox(314.93736+309.46239)x469.75499, glue set - 1.0 .\hbox(0.0+0.0)x0.0 .\hbox(314.93736+309.46239)x468.91457 ..\mathon ..\vbox(314.93736+309.46239)x468.91457 ...\rule(0.4+0.0)x468.91457 ...\hbox(9.51996+4.08003)x468.91457 [] ...\rule(0.4+0.0)x468.91457 ...\hbox(9.51996+4.08003)x468.91457 [] ...\rule(0.4+0.0)x468.91457 ...etc. ..\mathoff .\glue 3.65 plus 1.825 minus 1.21666 .\penalty 10000 .\glue(\parfillskip) 0.0 plus 1.0fil .etc. Underfull \vbox (badness 10000) has occurred while \output is active \vbox(614.295+0.0)x0.0 .\write-{} .\glue 0.0 [1086 ] Overfull \vbox (6.10475pt too high) has occurred while \output is active \vbox(614.295+0.0)x469.75499 .\glue(\topskip) 0.0 .\hbox(314.93736+309.46239)x469.75499, glue set - 1.0 ..\hbox(0.0+0.0)x0.0 ..\hbox(314.93736+309.46239)x468.91457 ...\mathon ...\vbox(314.93736+309.46239)x468.91457 [] ...\mathoff ..\glue 3.65 plus 1.825 minus 1.21666 ..\penalty 10000 ..\glue(\parfillskip) 0.0 plus 1.0fil ..etc. .\glue -4.0 [1087] Underfull \hbox (badness 10000) in paragraph at lines 10171--10171 []\elvrm SGEQPF[][] \hbox(7.48248+2.12917)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm G .\elvrm E .\elvrm Q .etc. Underfull \hbox (badness 10000) in paragraph at lines 10171--10171 \elvrm or \hbox(4.71457+0.0)x46.97505 .\elvrm o .\elvrm r .\glue(\rightskip) 0.0 Overfull \hbox (2.30005pt too wide) in paragraph at lines 10174--10174 []\elvrm SORMQR[][] \hbox(7.48248+2.12917)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm O .\elvrm R .\elvrm M .etc. Underfull \hbox (badness 10000) in paragraph at lines 10178--10178 []\elvrm SLANSY \hbox(7.48248+0.0)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10178--10178 \elvrm SSYTRF[][] \hbox(7.48248+0.0)x46.97505 .\elvrm S .\elvrm S .\elvrm Y .\elvrm T .\elvrm R .etc. Underfull \hbox (badness 10000) in paragraph at lines 10195--10195 []\elvrm SLANSP \hbox(7.48248+0.0)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm L .\elvrm A .\elvrm N .etc. Underfull \hbox (badness 10000) in paragraph at lines 10195--10195 \elvrm SSPTRF[][] \hbox(7.48248+0.0)x46.97505 .\elvrm S .\elvrm S .\elvrm P .\elvrm T .\elvrm R .etc. [1088 ] Overfull \hbox (1.23543pt too wide) in paragraph at lines 10237--10237 []\elvrm CHECON[][]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm H .\elvrm E .\elvrm C .etc. Overfull \hbox (1.23543pt too wide) in paragraph at lines 10251--10251 []\elvrm CHPCON[][]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm H .\elvrm P .\elvrm C .etc. [1089 ] Underfull \hbox (badness 1057) in paragraph at lines 10285--10286 []\elvrm Backtransform eigen-vec-tors of a real ma-trix af-ter bal-anc-ing by \hbox(7.60416+2.12917)x332.44243, glue set 2.1971 .\hbox(0.0+0.0)x0.0 .\elvrm B .\elvrm a .\elvrm c .\kern-0.30418 .etc. Underfull \hbox (badness 10000) in paragraph at lines 10290--10290 []\elvrm SSBEVX[] \hbox(7.48248+0.0)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm S .\elvrm B .\elvrm E .etc. Overfull \hbox (1.69168pt too wide) in paragraph at lines 10296--10296 []\elvrm SSBEVX[][]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm S .\elvrm B .\elvrm E .etc. Overfull \hbox (1.46358pt too wide) in paragraph at lines 10299--10299 []\elvrm CGEBAK[]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm G .\elvrm E .\elvrm B .etc. Overfull \hbox (8.53543pt too wide) in paragraph at lines 10316--10316 []\elvrm CUNMHR[][]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm U .\elvrm N .\elvrm M .etc. Overfull \hbox (6.4823pt too wide) in paragraph at lines 10319--10319 []\elvrm CGEHRD[][]| \hbox(9.51996+4.08003)x46.97505 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10389--10389 []\elvrm CHPTRD[]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm H .\elvrm P .\elvrm T .etc. Overfull \hbox (0.93124pt too wide) in paragraph at lines 10392--10392 []\elvrm CHETRD[]| \hbox(9.51996+4.08003)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm C .\elvrm H .\elvrm E .\elvrm T .etc. Underfull \hbox (badness 10000) in paragraph at lines 10395--10395 []\elvrm SSTEQR[] \hbox(7.48248+2.12917)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm S .\elvrm T .\elvrm E .etc. Underfull \hbox (badness 10000) in paragraph at lines 10395--10395 \elvrm or \hbox(4.71457+0.0)x46.97505 .\elvrm o .\elvrm r .\glue(\rightskip) 0.0 Overfull \hbox (0.62709pt too wide) in paragraph at lines 10395--10395 \elvrm SSTERF[][]| \hbox(9.51996+4.08003)x46.97505 .\elvrm S .\elvrm S .\elvrm T .\elvrm E .\elvrm R .etc. Underfull \hbox (badness 10000) in paragraph at lines 10399--10399 []\elvrm SSTEQR[] \hbox(7.48248+2.12917)x46.97505 .\hbox(0.0+0.0)x0.0 .\elvrm S .\elvrm S .\elvrm T 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