This is pdfeTeX, Version 3.141592-1.21a-2.2 (Web2C 7.5.4) (format=latex 2019.7.2) 2 JUL 2019 16:34 entering extended mode **29879_43fbabb2d721f252da5aba394c7dcd64.tex (./29879_43fbabb2d721f252da5aba394c7dcd64.tex LaTeX2e <2003/12/01> Babel and hyphenation patterns for american, french, german, ngerman, b ahasa, basque, bulgarian, catalan, croatian, czech, danish, dutch, esperanto, e stonian, finnish, greek, icelandic, irish, italian, latin, magyar, norsk, polis h, portuges, romanian, russian, serbian, slovak, slovene, spanish, swedish, tur kish, ukrainian, nohyphenation, loaded. (/usr/share/texmf/tex/latex/base/article.cls Document Class: article 2004/02/16 v1.4f Standard LaTeX document class (/usr/share/texmf/tex/latex/base/size12.clo File: size12.clo 2004/02/16 v1.4f Standard LaTeX file (size option) ) \c@part=\count79 \c@section=\count80 \c@subsection=\count81 \c@subsubsection=\count82 \c@paragraph=\count83 \c@subparagraph=\count84 \c@figure=\count85 \c@table=\count86 \abovecaptionskip=\skip41 \belowcaptionskip=\skip42 \bibindent=\dimen102 ) (/usr/share/texmf/tex/latex/amsmath/amsmath.sty Package: amsmath 2000/07/18 v2.13 AMS math features \@mathmargin=\skip43 For additional information on amsmath, use the `?' option. 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LaTeX Info: Redefining \] on input line 2667. ) (/usr/share/texmf/tex/latex/amsfonts/amsfonts.sty Package: amsfonts 2001/10/25 v2.2f \symAMSa=\mathgroup4 \symAMSb=\mathgroup5 LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold' (Font) U/euf/m/n --> U/euf/b/n on input line 132. ) (/usr/share/texmf/tex/latex/amsfonts/amssymb.sty Package: amssymb 2002/01/22 v2.2d ) (/usr/share/texmf/tex/latex/cancel/cancel.sty Package: cancel 2000/03/12 v2.1 Cancel math terms ) No file 29879_43fbabb2d721f252da5aba394c7dcd64.aux. \openout1 = `29879_43fbabb2d721f252da5aba394c7dcd64.aux'. LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 8. LaTeX Font Info: ... okay on input line 8. LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 8. LaTeX Font Info: ... okay on input line 8. LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 8. LaTeX Font Info: ... okay on input line 8. LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 8. LaTeX Font Info: ... okay on input line 8. LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 8. LaTeX Font Info: ... okay on input line 8. LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 8. LaTeX Font Info: ... okay on input line 8. LaTeX Font Info: Try loading font information for U+msa on input line 9. (/usr/share/texmf/tex/latex/amsfonts/umsa.fd File: umsa.fd 2002/01/19 v2.2g AMS font definitions ) LaTeX Font Info: Try loading font information for U+msb on input line 9. (/usr/share/texmf/tex/latex/amsfonts/umsb.fd File: umsb.fd 2002/01/19 v2.2g AMS font definitions ) ! Missing $ inserted. $ l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...e {\textdef@ \displaystyle \f@size {#1}} {\textdef@ \textstyle \f@s... l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Missing $ inserted. $ l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...xtstyle \f@size {\firstchoice@false #1}} {\textdef@ \textstyle \sf@... l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Missing $ inserted. $ l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...tstyle \sf@size {\firstchoice@false #1}} {\textdef@ \textstyle \ssf... l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Missing $ inserted. $ l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...style \ssf@size {\firstchoice@false #1}} \check@mathfonts } l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...firstchoice@false #1}}\check@mathfonts } l.10 ..._{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$} }\\\gamma _{2}(2t-1)&{\tex... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. l.10 ...{1}(2t)&{\textrm {if\$0\leq t\leq 1/2\$}} \\\gamma _{2}(2t-1)&{\text... I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Misplaced \cr. \reserved@b ->\ifnum 0=`{\fi }${}\cr l.10 ...{\textrm {if\$0\leq t\leq 1/2\$}}\\\gamma _{2}(2t-1)&{\textrm {if\... I can't figure out why you would want to use a tab mark or \cr or \span just now. If something like a right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Misplaced alignment tab character &. l.10 ...f\$0\leq t\leq 1/2\$}}\\\gamma _{2}(2t-1)& {\textrm {if\$1/2\leq t\l... I can't figure out why you would want to use a tab mark here. If you just want an ampersand, the remedy is simple: Just type `I\&' now. But if some right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Missing $ inserted. $ l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...e {\textdef@ \displaystyle \f@size {#1}} {\textdef@ \textstyle \f@s... l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Missing $ inserted. $ l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...xtstyle \f@size {\firstchoice@false #1}} {\textdef@ \textstyle \sf@... l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Missing $ inserted. $ l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...tstyle \sf@size {\firstchoice@false #1}} {\textdef@ \textstyle \ssf... l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Missing $ inserted. $ l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. \textdef@ ...th {#1}\let \f@size #2\selectfont #3} } l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \textdef@ ...h {#1}\let \f@size #2\selectfont #3}} l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...style \ssf@size {\firstchoice@false #1}} \check@mathfonts } l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \text@ ...firstchoice@false #1}}\check@mathfonts } l.10 ...2}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$} }\end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. l.10 ...}(2t-1)&{\textrm {if\$1/2\leq t\leq 1\$}} \end{cases}} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Misplaced \crcr. \endarray ->\crcr \egroup \egroup l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I can't figure out why you would want to use a tab mark or \cr or \span just now. If something like a right brace up above has ended a previous alignment prematurely, you're probably due for more error messages, and you might try typing `S' now just to see what is salvageable. ! Extra }, or forgotten $. \endarray ->\crcr \egroup \egroup l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra }, or forgotten $. \endarray ->\crcr \egroup \egroup l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! Extra \right. \endcases ->\endarray \right . l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I'm ignoring a \right that had no matching \left. ! Missing $ inserted. $ l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } 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 \cr inserted. \cr l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I'm guessing that you meant to end an alignment here. ! Missing } inserted. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I've put in what seems to be necessary to fix the current column of the current alignment. Try to go on, since this might almost work. ! Missing \cr inserted. \cr l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I'm guessing that you meant to end an alignment here. ! Missing } inserted. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I've put in what seems to be necessary to fix the current column of the current alignment. Try to go on, since this might almost work. ! Missing \cr inserted. \cr l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I'm guessing that you meant to end an alignment here. ! Missing } inserted. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I've put in what seems to be necessary to fix the current column of the current alignment. Try to go on, since this might almost work. ! Missing \cr inserted. \cr l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } I'm guessing that you meant to end an alignment here. ! Missing } inserted. } l.10 ...extrm {if\$1/2\leq t\leq 1\$}}\end{cases} } (That makes 100 errors; please try again.) Here is how much of TeX's memory you used: 1131 strings out of 94501 12368 string characters out of 1176790 58623 words of memory out of 1000000 4339 multiletter control sequences out of 10000+50000 8939 words of font info for 35 fonts, out of 500000 for 2000 580 hyphenation exceptions out of 1000 27i,35n,22p,255b,281s stack positions out of 1500i,500n,5000p,200000b,5000s No pages of output.