This is pdfTeX, Version 3.1415926-2.4-1.40.13 (MiKTeX 2.9 64-bit) (preloaded format=pdflatex 2013.9.4) 1 JAN 2015 15:54 entering extended mode **decision_tree_orig_virgil.tex (C:\Users\bahmed01\Dropbox\CCIS_CS6140\1_intro_DT_RULES_REG\lecture_notes\decision_tree_orig_virgil.tex LaTeX2e <2011/06/27> Babel and hyphenation patterns for english, afrikaans, ancientgreek, arabic, armenian, assamese, basque, bengali , bokmal, bulgarian, catalan, coptic, croatian, czech, danish, dutch, esperanto, estonian, farsi, finnish, french, galic ian, german, german-x-2012-05-30, greek, gujarati, hindi, hungarian, icelandic, indonesian, interlingua, irish, italian, kannada, kurmanji, latin, latvian, lithuanian, malayalam, marathi, mongolian, mongolianlmc, monogreek, ngerman, ngerman -x-2012-05-30, nynorsk, oriya, panjabi, pinyin, polish, portuguese, romanian, russian, sanskrit, serbian, slovak, sloven ian, spanish, swedish, swissgerman, tamil, telugu, turkish, turkmen, ukenglish, ukrainian, uppersorbian, usenglishmax, w elsh, loaded. ! Undefined control sequence. l.1 \section {Supervised learning} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.1 \section {S upervised learning} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no S in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 1--2 [] [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.5 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. ! LaTeX Error: Missing \begin{document}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.5 \begin{figure}[ h!] You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 5--6 [] [] ! Undefined control sequence. l.8 \includegraphics [width=0.9\columnwidth]{data_table} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 9 in font nullfont! ! Missing number, treated as zero. ] l.8 \includegraphics[width=0.9\columnwidth] {data_table} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.8 \includegraphics[width=0.9\columnwidth] {data_table} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! ! Missing $ inserted. $ l.8 \includegraphics[width=0.9\columnwidth]{data_ table} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. LaTeX Font Info: External font `cmex10' loaded for size (Font) <7> on input line 8. LaTeX Font Info: External font `cmex10' loaded for size (Font) <5> on input line 8. ! Extra }, or forgotten $. l.8 ...graphics[width=0.9\columnwidth]{data_table} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.11 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.11 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.11 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.11 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.11 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.12 \caption {Toy set of records (UCI)} \label{data_table} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no T in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no ( in font nullfont! Missing character: There is no U in font nullfont! Missing character: There is no C in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no ) in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.13 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (20.93523pt too wide) in paragraph at lines 8--14 []\OML/cmm/m/it/10 able$ [] ! Undefined control sequence. l.19 \section {Univariate trees for classification} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no U in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 19--20 [] [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.21 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 21--22 [] [] ! Undefined control sequence. l.24 \includegraphics [width=0.99\columnwidth]{tree_1} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 9 in font nullfont! Missing character: There is no 9 in font nullfont! ! Missing number, treated as zero. ] l.24 \includegraphics[width=0.99\columnwidth] {tree_1} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.24 \includegraphics[width=0.99\columnwidth] {tree_1} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! ! Missing $ inserted. $ l.24 ...ludegraphics[width=0.99\columnwidth]{tree_ 1} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.24 ...degraphics[width=0.99\columnwidth]{tree_1} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.27 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.27 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.27 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.28 \caption {Decision tree, 1 layer.} \label{tree_1} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 1 in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.29 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (4.48613pt too wide) in paragraph at lines 24--30 []$ [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.31 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 31--32 [] [] ! Undefined control sequence. l.34 \includegraphics [width=0.8\columnwidth]{tree_2} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 8 in font nullfont! ! Missing number, treated as zero. ] l.34 \includegraphics[width=0.8\columnwidth] {tree_2} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.34 \includegraphics[width=0.8\columnwidth] {tree_2} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! ! Missing $ inserted. $ l.34 \includegraphics[width=0.8\columnwidth]{tree_ 2} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.34 ...udegraphics[width=0.8\columnwidth]{tree_2} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.37 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.37 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.37 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.37 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.37 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.38 \caption {Decision tree, 2 layers.} \label{tree_2} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.39 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (4.48613pt too wide) in paragraph at lines 34--40 []$ [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.42 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 42--43 [] [] ! Undefined control sequence. l.45 \includegraphics [width=0.99\columnwidth]{tree_3} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 9 in font nullfont! Missing character: There is no 9 in font nullfont! ! Missing number, treated as zero. ] l.45 \includegraphics[width=0.99\columnwidth] {tree_3} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.45 \includegraphics[width=0.99\columnwidth] {tree_3} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! ! Missing $ inserted. $ l.45 ...ludegraphics[width=0.99\columnwidth]{tree_ 3} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.45 ...degraphics[width=0.99\columnwidth]{tree_3} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.48 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.48 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.48 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.48 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.48 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.49 \caption {Decision tree, complete} \label{tree_3} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no D in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no , in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.50 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no R in font nullfont! Missing character: There is no E in font nullfont! Missing character: There is no M in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no R in font nullfont! Missing character: There is no K in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Overfull \hbox (4.48613pt too wide) in paragraph at lines 45--52 []$ [] ! Undefined control sequence. l.54 \section {Tree splitting} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no T in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no F in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no N in font nullfont! Missing character: There is no P in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no U in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 54--56 [] [] Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! ! Undefined control sequence. l.63 \subsection {Entropy-based gain} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no E in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 63--64 [] [] Overfull \hbox (133.02855pt too wide) detected at line 66 \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 ) = [] [] [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.68 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 68--69 [] [] ! Undefined control sequence. l.71 \includegraphics [width=0.3\columnwidth]{plot_entropy} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 3 in font nullfont! ! Missing number, treated as zero. ] l.71 \includegraphics[width=0.3\columnwidth] {plot_entropy} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.71 \includegraphics[width=0.3\columnwidth] {plot_entropy} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no t in font nullfont! ! Missing $ inserted. $ l.71 \includegraphics[width=0.3\columnwidth]{plot_ entropy} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.71 ...phics[width=0.3\columnwidth]{plot_entropy} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.74 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.74 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.74 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.74 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.74 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.75 \caption {Entropy for 2-valued distribution} \label{plot_entropy} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no E in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no 2 in font nullfont! Missing character: There is no - in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.76 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (33.83702pt too wide) in paragraph at lines 71--77 []\OML/cmm/m/it/10 ntropy$ [] Overfull \hbox (60.72202pt too wide) in paragraph at lines 81--82 []\OT1/cmr/bx/n/10 Entropy [] Overfull \hbox (12.93741pt too wide) in paragraph at lines 81--82 \OT1/cmr/bx/n/10 af- [] Overfull \hbox (14.47911pt too wide) in paragraph at lines 81--82 \OT1/cmr/bx/n/10 ter [] Overfull \hbox (21.78598pt too wide) in paragraph at lines 81--82 \OT1/cmr/bx/n/10 split [] Overfull \hbox (12.13882pt too wide) in paragraph at lines 81--82 \OT1/cmr/bx/n/10 by [] Overfull \hbox (9.06943pt too wide) in paragraph at lines 81--82 \OML/cmm/m/it/10 X$ [] Overfull \hbox (18.20822pt too wide) in paragraph at lines 81--82 \OT1/cmr/bx/n/10 fea- [] Overfull \hbox (20.86797pt too wide) in paragraph at lines 81--82 \OT1/cmr/bx/n/10 ture [] Overfull \hbox (20.0pt too wide) in paragraph at lines 83--83 [][] [] Overfull \hbox (210.92957pt too wide) detected at line 85 \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 ) = [] \OML/cmm /m/it/10 P\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 x[]\OT1/cmr/m/n/10 ) [] [] [] Missing character: There is no . in font nullfont! Overfull \hbox (56.95117pt too wide) in paragraph at lines 87--88 []\OT1/cmr/bx/n/10 Mutual [] Overfull \hbox (13.4166pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 in- [] Overfull \hbox (17.83325pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 for- [] Overfull \hbox (19.00682pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 ma- [] Overfull \hbox (19.80545pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 tion [] Overfull \hbox (14.95827pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 (or [] Overfull \hbox (14.58325pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 In- [] Overfull \hbox (17.83325pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 for- [] Overfull \hbox (19.00682pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 ma- [] Overfull \hbox (19.80545pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 tion [] Overfull \hbox (28.68732pt too wide) in paragraph at lines 87--88 \OT1/cmr/bx/n/10 Gain) [] Overfull \hbox (112.70961pt too wide) detected at line 90 \OML/cmm/m/it/10 IG\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 ) = \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/ it/10 Y\OT1/cmr/m/n/10 ) \OMS/cmsy/m/n/10 \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/ cmm/m/it/10 X\OT1/cmr/m/n/10 ) [] Missing character: There is no A in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no v in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no . in font nullfont! ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.93 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 92--94 [] [] ! Undefined control sequence. l.96 \includegraphics [width=0.2\columnwidth]{IG_1} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 2 in font nullfont! ! Missing number, treated as zero. ] l.96 \includegraphics[width=0.2\columnwidth] {IG_1} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.96 \includegraphics[width=0.2\columnwidth] {IG_1} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no G in font nullfont! ! Missing $ inserted. $ l.96 \includegraphics[width=0.2\columnwidth]{IG_ 1} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.96 \includegraphics[width=0.2\columnwidth]{IG_1} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.99 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.99 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.99 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.99 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.99 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.100 \caption {2 possible features to split by} \label{IG_1} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no 2 in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no b in font nullfont! Missing character: There is no y in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.101 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (4.48613pt too wide) in paragraph at lines 96--102 []$ [] Overfull \hbox (366.00418pt too wide) in alignment at lines 102--105 [][][] [] [] Overfull \hbox (459.47629pt too wide) in alignment at lines 106--109 [][][] [] [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.112 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 112--113 [] [] ! Undefined control sequence. l.115 \includegraphics [width=0.57\columnwidth]{IG_3} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 5 in font nullfont! Missing character: There is no 7 in font nullfont! ! Missing number, treated as zero. ] l.115 \includegraphics[width=0.57\columnwidth] {IG_3} A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.115 \includegraphics[width=0.57\columnwidth] {IG_3} Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no G in font nullfont! ! Missing $ inserted. $ l.115 \includegraphics[width=0.57\columnwidth]{IG_ 3} I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.115 ...udegraphics[width=0.57\columnwidth]{IG_3} I've deleted a group-closing symbol because it seems to be spurious, as in `$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$}'. ! LaTeX Error: Command \end{center} invalid in math mode. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.118 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.118 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! LaTeX Error: Something's wrong--perhaps a missing \item. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.118 \end{center} Try typing to proceed. If that doesn't work, type X to quit. ! Missing $ inserted. $ l.118 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get 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.118 \end{center} I've inserted something that you may have forgotten. (See the above.) With luck, this will get me unwedged. But if you really didn't forget anything, try typing `2' now; then my insertion and my current dilemma will both disappear. ! LaTeX Error: \caption outside float. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.119 \caption {Information gain} \label{IG_all} You're in trouble here. Try typing to proceed. If that doesn't work, type X to quit. Missing character: There is no I in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! ! LaTeX Error: \begin{document} ended by \end{figure}. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.120 \end{figure} Your command was ignored. Type I to replace it with another command, or to continue without it. Overfull \hbox (4.48613pt too wide) in paragraph at lines 115--121 []$ [] ! LaTeX Error: The font size command \normalsize is not defined: there is probably something wrong with the class file. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.123 \newpage Your command was ignored. Type I to replace it with another command, or to continue without it. [1{C:/ProgramData/MiKTeX/2.9/pdftex/config/pdftex.map} ! Undefined control sequence. \newlabel{data_table}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{data_table}{{}{}} ! Undefined control sequence. \newlabel{tree_1}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{tree_1}{{}{}} ! Undefined control sequence. \newlabel{tree_2}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{tree_2}{{}{}} ! Undefined control sequence. \newlabel{tree_3}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{tree_3}{{}{}} ! Undefined control sequence. \newlabel{plot_entropy}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{plot_entropy}{{}{}} ! Undefined control sequence. \newlabel{IG_1}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{IG_1}{{}{}} ! Undefined control sequence. \newlabel{IG_all}{{}{\thepage }} l.123 \newpage The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. \newlabel{IG_all}{{}{}} ] ! Undefined control sequence. l.124 \section {When to stop splitting} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no W in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no p in font nullfont! Missing character: There is no l in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 124--125 [] [] Missing character: There is no . in font nullfont! Missing character: There is no R in font nullfont! Missing character: There is no E in font nullfont! Missing character: There is no M in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no R in font nullfont! Missing character: There is no K in font nullfont! Missing character: There is no : in font nullfont! Overfull \hbox (46.15945pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 matching [] Overfull \hbox (36.52899pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 records [] Overfull \hbox (22.68042pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 have [] Overfull \hbox (16.13187pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 the [] Overfull \hbox (24.9804pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 same [] Overfull \hbox (13.89574pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 at- [] Overfull \hbox (34.92345pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 tribute [] Overfull \hbox (25.87485pt too wide) in paragraph at lines 127--129 \OT1/cmr/bx/n/10 value [] Overfull \hbox (35.48607pt too wide) in paragraph at lines 127--129 \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 ) = [] Overfull \hbox (5.00002pt too wide) in paragraph at lines 127--129 \OT1/cmr/m/n/10 0$ [] Missing character: There is no . in font nullfont! Missing character: There is no R in font nullfont! Missing character: There is no E in font nullfont! Missing character: There is no M in font nullfont! Missing character: There is no A in font nullfont! Missing character: There is no R in font nullfont! Missing character: There is no K in font nullfont! Missing character: There is no : in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no y in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no u in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no e in font nullfont! Overfull \hbox (14.74992pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 No [] Overfull \hbox (13.89574pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 at- [] Overfull \hbox (39.45952pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 tributes [] Overfull \hbox (17.09016pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 can [] Overfull \hbox (18.47214pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 fur- [] Overfull \hbox (20.86797pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 ther [] Overfull \hbox (17.95267pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 dis- [] Overfull \hbox (17.8888pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 tin- [] Overfull \hbox (26.25818pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 guish [] Overfull \hbox (36.52899pt too wide) in paragraph at lines 129--130 \OT1/cmr/bx/n/10 records [] Overfull \hbox (47.33328pt too wide) in paragraph at lines 129--130 \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OMS/cmsy/m/n/10 j\OML/cmm/m/it/10 X\OT1/cmr/m/n/10 ) = [] Overfull \hbox (24.93056pt too wide) in paragraph at lines 129--130 \OML/cmm/m/it/10 H\OT1/cmr/m/n/10 (\OML/cmm/m/it/10 Y\OT1/cmr/m/n/10 )$ [] Overfull \hbox (9.06943pt too wide) in paragraph at lines 129--130 \OML/cmm/m/it/10 X$ [] ! Undefined control sequence. l.133 \subsubsection {0 information gain case in general} The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no 0 in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no f in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no m in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no o in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no c in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no s in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no g in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no n in font nullfont! Missing character: There is no e in font nullfont! Missing character: There is no r in font nullfont! Missing character: There is no a in font nullfont! Missing character: There is no l in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 133--134 [] [] ! LaTeX Error: Environment figure undefined. See the LaTeX manual or LaTeX Companion for explanation. Type H for immediate help. ... l.135 \begin{figure} [h!] Your command was ignored. Type I to replace it with another command, or to continue without it. Missing character: There is no [ in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no ! in font nullfont! Missing character: There is no ] in font nullfont! Overfull \hbox (20.0pt too wide) in paragraph at lines 135--136 [] [] ! Undefined control sequence. l.138 \includegraphics [width=0.6\columnwidth]{0IG_notsplit.jpg} & The control sequence at the end of the top line of your error message was never \def'ed. If you have misspelled it (e.g., `\hobx'), type `I' and the correct spelling (e.g., `I\hbox'). Otherwise just continue, and I'll forget about whatever was undefined. Missing character: There is no [ in font nullfont! Missing character: There is no w in font nullfont! Missing character: There is no i in font nullfont! Missing character: There is no d in font nullfont! Missing character: There is no t in font nullfont! Missing character: There is no h in font nullfont! Missing character: There is no = in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no . in font nullfont! Missing character: There is no 6 in font nullfont! ! Missing number, treated as zero. ] l.138 \includegraphics[width=0.6\columnwidth] {0IG_notsplit.jpg} & A number should have been here; I inserted `0'. (If you can't figure out why I needed to see a number, look up `weird error' in the index to The TeXbook.) ! Illegal unit of measure (pt inserted). ] l.138 \includegraphics[width=0.6\columnwidth] {0IG_notsplit.jpg} & Dimensions can be in units of em, ex, in, pt, pc, cm, mm, dd, cc, nd, nc, bp, or sp; but yours is a new one! I'll assume that you meant to say pt, for printer's points. To recover gracefully from this error, it's best to delete the erroneous units; e.g., type `2' to delete two letters. (See Chapter 27 of The TeXbook.) Missing character: There is no ] in font nullfont! Missing character: There is no 0 in font nullfont! Missing character: There is no I in font nullfont! Missing character: There is no G in font nullfont! ! Missing $ inserted. $ l.138 \includegraphics[width=0.6\columnwidth]{0IG_ notsplit.jpg} & I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ! Extra }, or forgotten $. l.138 ...[width=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & 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. ! Extra }, or forgotten $. } l.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & I've deleted a group-closing symbol because it seems to be spurious, as in `$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.138 ...idth=0.6\columnwidth]{0IG_notsplit.jpg} & (That makes 100 errors; please try again.) Here is how much of TeX's memory you used: 19 strings out of 493921 534 string characters out of 3147274 56031 words of memory out of 3000000 3409 multiletter control sequences out of 15000+200000 3948 words of font info for 15 fonts, out of 3000000 for 9000 841 hyphenation exceptions out of 8191 18i,7n,12p,262b,131s stack positions out of 5000i,500n,10000p,200000b,50000s ! ==> Fatal error occurred, no output PDF file produced!