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final_paper.log
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This is pdfTeX, Version 3.1415926-2.5-1.40.14 (TeX Live 2013) (format=pdflatex 2013.5.30) 15 MAY 2015 22:33
entering extended mode
restricted \write18 enabled.
file:line:error style messages enabled.
%&-line parsing enabled.
**final_paper.tex
(./final_paper.tex
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./final_paper.tex:5: Undefined control sequence.
<recently read> \package
l.5 \package
{graphics}
?
./final_paper.tex:5: LaTeX Error: Missing \begin{document}.
See the LaTeX manual or LaTeX Companion for explanation.
Type H <return> for immediate help.
...
l.5 \package{g
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?
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[1
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[]
[2] [3]
./final_paper.tex:93: Undefined control sequence.
l.93 \includegraphics
[scale=1]{three_alg.PNG}
?
./final_paper.tex:93: Missing $ inserted.
<inserted text>
$
l.93 \includegraphics[scale=1]{three_
alg.PNG}
?
./final_paper.tex:93: Extra }, or forgotten $.
l.93 \includegraphics[scale=1]{three_alg.PNG}
?
./final_paper.tex:94: Missing $ inserted.
<inserted text>
$
l.94
?
[4]
Underfull \hbox (badness 10000) in paragraph at lines 111--112
[]
[5]
Underfull \hbox (badness 10000) in paragraph at lines 133--134
[]
./final_paper.tex:151: Undefined control sequence.
l.151 \includegraphics
[scale=1]{tradeoff_graph}
?
./final_paper.tex:151: Missing $ inserted.
<inserted text>
$
l.151 \includegraphics[scale=1]{tradeoff_
graph}
?
./final_paper.tex:151: Extra }, or forgotten $.
l.151 \includegraphics[scale=1]{tradeoff_graph}
?
./final_paper.tex:152: Missing $ inserted.
<inserted text>
$
l.152
?
[6]
Overfull \hbox (58.02603pt too wide) in paragraph at lines 206--207
\OML/cmm/m/it/10.95 x[] \OMS/cmsy/m/n/10.95 2 \OML/cmm/m/it/10.95 C[]$ \OT1/cmr
/m/n/10.95 vec-tor. More pre-cisely, for ev-ery clause 3MAJ clause $\OML/cmm/m/
it/10.95 C\OT1/cmr/m/n/10.95 (\OML/cmm/m/it/10.95 x\OT1/cmr/m/n/10.95 ) = \OML/
cmm/m/it/10.95 MAJ\OT1/cmr/m/n/10.95 ((\OMS/cmsy/m/n/10.95 ^^@\OT1/cmr/m/n/10.9
5 1)[]\OML/cmm/m/it/10.95 x[]; \OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10.95 ^^@\OT1/
cmr/m/n/10.95 1)[]\OML/cmm/m/it/10.95 x[]; \OT1/cmr/m/n/10.95 (\OMS/cmsy/m/n/10
.95 ^^@\OT1/cmr/m/n/10.95 1)[]\OML/cmm/m/it/10.95 x[]\OT1/cmr/m/n/10.95 )$
[]
[7]
Overfull \hbox (16.92856pt too wide) in paragraph at lines 224--225
[]\OT1/cmr/bx/n/10.95 step4) \OT1/cmr/m/n/10.95 Given $\OML/c