From f9fe36a48227fdad415f8e473a1c706efb1c63d8 Mon Sep 17 00:00:00 2001 From: =?utf8?q?Jean-Fran=C3=A7ois=20Couchot?= Date: Thu, 7 Apr 2016 20:25:11 +0200 Subject: [PATCH] khkhj --- hamilton.tex | 4 +- main.aux | 47 ++++++++ main.log | 308 ++++++++++++++++++++++++++++++++++++++++++--------- main.pdf | Bin 536444 -> 613533 bytes 4 files changed, 302 insertions(+), 57 deletions(-) diff --git a/hamilton.tex b/hamilton.tex index f4dc64a..e6fd339 100644 --- a/hamilton.tex +++ b/hamilton.tex @@ -181,8 +181,8 @@ c_{\mathsf{N}}a_{\mathsf{N}} + d_{\mathsf{N}}(a_{\mathsf{N}}+2) & = & 2^{\mathsf \qquad \left\{ \begin{array}{lcl} -d_{\mathsf{N}} & = & \dfrac{2^{\mathsf{N} -n.a_{\mathsf{N}}}{2} \\ -c_{\mathsf{N}} = \mathsf{N} - d_{\mathsf{N}} +d_{\mathsf{N}} & = & \dfrac{2^{\mathsf{N}} -n.a_{\mathsf{N}}}{2} \\ +c_{\mathsf{N}} &= &\mathsf{N} - d_{\mathsf{N}} \end{array} \right. $$ diff --git a/main.aux b/main.aux index af7621c..0bd4d61 100644 --- a/main.aux +++ b/main.aux @@ -70,3 +70,50 @@ \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.1}{Analysis of the Robinson-Cohn extension algorithm}}{12}} \newlabel{item:nondet}{{1}{12}} \@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.2}{Balanced Codes}}{12}} +\newlabel{prop:balanced}{{5.1}{13}} +\@writefile{toc}{\contentsline {subsection}{\tocsubsection {}{5.3}{Toward a local uniform distribution of switches}}{13}} +\@writefile{toc}{\contentsline {section}{\tocsection {}{6}{Stopping Time}}{13}} +\newlabel{sec:hypercube}{{6}{13}} +\citation{LevinPeresWilmer2006} +\newlabel{eq:Markov:rairo}{{3}{15}} +\newlabel{lm:h}{{6.2}{15}} +\citation{proba} +\newlabel{prop:stop}{{6.4}{16}} +\newlabel{prop:lambda}{{6.5}{16}} +\newlabel{lm:stopprime}{{6.6}{17}} +\@writefile{toc}{\contentsline {section}{\tocsection {}{7}{Experiments}}{18}} +\newlabel{sec:prng}{{7}{18}} +\@writefile{loa}{\contentsline {algocf}{\numberline {2}{\ignorespaces Pseudo Code of the $\chi _{\textit {15Rairo}}$ PRNG\relax }}{18}} +\newlabel{CI Algorithm:2}{{2}{18}} +\@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Functions with DSCC Matrix and smallest MT\relax }}{19}} +\newlabel{table:nc}{{1}{19}} +\bibstyle{alpha} +\bibdata{biblio} +\bibcite{Banks92}{BBCS92} +\@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces NIST SP 800-22 test results ($\mathbb {P}_T$)\relax }}{20}} +\newlabel{The passing rate}{{2}{20}} +\@writefile{toc}{\contentsline {section}{\tocsection {}{8}{Conclusion}}{20}} +\bibcite{bcgr11:ip}{BCGR11} +\bibcite{Nist10}{BR10} +\bibcite{DBLP:journals/combinatorics/BhatS96}{BS96} +\bibcite{Bykov2016}{Byk16} +\bibcite{chgw14oip}{CHG{$^{+}$}14a} +\bibcite{DBLP:conf/secrypt/CouchotHGWB14}{CHG{$^{+}$}14b} +\bibcite{5376454}{CMZ09} +\bibcite{Devaney}{Dev89} +\bibcite{guyeuxTaiwan10}{GWB10} +\bibcite{LevinPeresWilmer2006}{LPW06} +\bibcite{LEcuyerS07}{LS07} +\bibcite{Marsaglia1996}{Mar96} +\bibcite{proba}{MU05} +\bibcite{Robinson:1981:CS}{RC81} +\bibcite{915385}{SK01} +\bibcite{915396}{SPK01} +\bibcite{ZanSup04}{SZ04} +\bibcite{wbg10ip}{WBGF10} +\@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{21}} +\newlabel{tocindent-1}{0pt} +\newlabel{tocindent0}{12.77466pt} +\newlabel{tocindent1}{17.77344pt} +\newlabel{tocindent2}{25.54932pt} +\newlabel{tocindent3}{0pt} diff --git a/main.log b/main.log index 8af4a0a..24b84b6 100644 --- a/main.log +++ b/main.log @@ -1,4 +1,4 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex 2015.4.13) 7 APR 2016 20:22 +This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex 2015.4.13) 7 APR 2016 20:24 entering extended mode restricted \write18 enabled. %&-line parsing enabled. @@ -1558,64 +1558,262 @@ I've inserted a begin-math/end-math symbol since I think you left one out. Proceed, with fingers crossed. ) -! Interruption. +! Missing $ inserted. + + $ +l.122 + +I've inserted a begin-math/end-math symbol since I think +you left one out. Proceed, with fingers crossed. + +! Missing \endgroup inserted. + + \endgroup +l.122 + +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 \right. inserted. + + \right . +l.122 + +I've inserted something that you may have forgotten. +(See the above.) +With luck, this will get me unwedged. But if you +really didn't forget anything, try typing `2' now; then +my insertion and my current dilemma will both disappear. + +! Display math should end with $$. - \vskip -l.124 \section{Stopping Time} - \label{sec:hypercube} -? X - + \par +l.122 + +The `$' that I just saw supposedly matches a previous `$$'. +So I shall assume that you typed `$$' both times. + + +Overfull \hbox (482.90009pt too wide) detected at line 122 +[] \OMS/cmsy/m/n/10 , [] + [] + +(./stopping.tex [13] + +LaTeX Warning: Citation `LevinPeresWilmer2006' on page 14 undefined on input li +ne 85. + +[14] [15] + +LaTeX Warning: Reference `lm:h' on page 16 undefined on input line 301. + + +LaTeX Warning: Citation `proba' on page 16 undefined on input line 314. + +[16] + +LaTeX Warning: Reference `prop:stop' on page 17 undefined on input line 360. + + +LaTeX Warning: Reference `prop:stop' on page 17 undefined on input line 367. + + +LaTeX Warning: Reference `prop:lambda' on page 17 undefined on input line 368. + + +LaTeX Warning: Reference `lm:stopprime' on page 17 undefined on input line 368. + + +) [17] (./prng.tex + +LaTeX Warning: Reference `CI Algorithm:2' on page 18 undefined on input line 13 +. + + +LaTeX Warning: Reference `sec:hypercube' on page 18 undefined on input line 44. + + + +LaTeX Warning: Reference `eq:Markov:rairo' on page 18 undefined on input line 5 +9. + + +LaTeX Warning: Reference `table:nc' on page 18 undefined on input line 62. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 64. + +LaTeX Font Info: Font shape `OMS/cmr/m/n' in size <10> not available +(Font) Font shape `OMS/cmsy/m/n' tried instead on input line 64. + +LaTeX Warning: Command \textcircled invalid in math mode on input line 64. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 67. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 67. + +[18] + +LaTeX Warning: Reference `sec:hypercube' on page 19 undefined on input line 76. + + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 89. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 89. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 92. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 92. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 105. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 105. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 122. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 122. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 172. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 172. + + +LaTeX Warning: Reference `The passing rate' on page 19 undefined on input line +214. + + +LaTeX Warning: Reference `The passing rate' on page 19 undefined on input line +217. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +LaTeX Warning: Command \textcircled invalid in math mode on input line 231. + + +Overfull \hbox (4.26556pt too wide) in paragraph at lines 229--250 + [] + [] + +) (./conclusion.tex +Missing character: There is no p in font dsrom8! +Missing character: There is no p in font dsrom8! + [19]) (./main.bbl +Underfull \vbox (badness 10000) has occurred while \output is active [] + + [20] +Underfull \hbox (badness 10000) in paragraph at lines 81--84 +[]\T1/cmr/m/n/8 G. 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