diff options
Diffstat (limited to 'buch/papers/reedsolomon')
38 files changed, 2396 insertions, 365 deletions
diff --git a/buch/papers/reedsolomon/.gitignor b/buch/papers/reedsolomon/.gitignor new file mode 100644 index 0000000..52a02ac --- /dev/null +++ b/buch/papers/reedsolomon/.gitignor @@ -0,0 +1,24 @@ +RS.aux +RS.bbl +RS.bib +RS.blg +RS.idx +RS.ilg +RS.ind +RS.log +RS.out +RS.pdf +RS.run.xml +RS.toc +*.aux +*.lof +*.log +*.lot +*.fls +*.out +*.toc +*.fmt +*.fot +*.cb +*.cb2 +.*.lb diff --git a/buch/papers/reedsolomon/RS presentation/RS.aux b/buch/papers/reedsolomon/RS presentation/RS.aux index 17ce46b..005172f 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.aux +++ b/buch/papers/reedsolomon/RS presentation/RS.aux @@ -14,17 +14,64 @@ \fi} \global\let\hyper@last\relax \gdef\HyperFirstAtBeginDocument#1{#1} -\providecommand\HyField@AuxAddToFields[1]{} -\providecommand\HyField@AuxAddToCoFields[2]{} -\@nameuse{bbl@beforestart} +\providecommand*\HyPL@Entry[1]{} +\bbl@beforestart \catcode `"\active +\HyPL@Entry{0<</P(1)>>} \babel@aux{ngerman}{} \@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}} -\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}} +\HyPL@Entry{1<</P(2)>>} +\@writefile{toc}{\beamer@sectionintoc {1}{Einführung}{2}{0}{1}} +\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{1}}} +\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{1}}} +\@writefile{nav}{\headcommand {\sectionentry {1}{Einführung}{2}{Einführung}{0}}} +\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}} -\@writefile{nav}{\headcommand {\beamer@partpages {1}{2}}} -\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}} -\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}} -\@writefile{nav}{\headcommand {\beamer@documentpages {2}}} -\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {2}}} +\HyPL@Entry{2<</P(3)>>} +\@writefile{toc}{\beamer@sectionintoc {2}{Polynom Ansatz}{3}{0}{2}} +\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{2}}} +\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{2}}} +\@writefile{nav}{\headcommand {\sectionentry {2}{Polynom Ansatz}{3}{Polynom Ansatz}{0}}} +\@writefile{nav}{\headcommand {\slideentry {2}{0}{1}{3/3}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}} +\HyPL@Entry{3<</P(4)>>} +\@writefile{nav}{\headcommand {\slideentry {2}{0}{2}{4/5}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {4}{5}}} +\HyPL@Entry{5<</P(5)>>} +\@writefile{nav}{\headcommand {\slideentry {2}{0}{3}{6/6}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}} +\HyPL@Entry{6<</P(6)>>} +\@writefile{toc}{\beamer@sectionintoc {3}{Fourier Transformation}{7}{0}{3}} +\@writefile{nav}{\headcommand {\beamer@sectionpages {3}{6}}} +\@writefile{nav}{\headcommand {\beamer@subsectionpages {3}{6}}} +\@writefile{nav}{\headcommand {\sectionentry {3}{Fourier Transformation}{7}{Fourier Transformation}{0}}} +\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{7/7}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}} +\HyPL@Entry{7<</P(7)>>} +\@writefile{nav}{\headcommand {\slideentry {3}{0}{2}{8/14}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {8}{14}}} +\HyPL@Entry{14<</P(8)>>} +\@writefile{toc}{\beamer@sectionintoc {4}{Diskrete Fourier Transformation}{15}{0}{4}} +\@writefile{nav}{\headcommand {\beamer@sectionpages {7}{14}}} +\@writefile{nav}{\headcommand {\beamer@subsectionpages {7}{14}}} +\@writefile{nav}{\headcommand {\sectionentry {4}{Diskrete Fourier Transformation}{15}{Diskrete Fourier Transformation}{0}}} +\@writefile{snm}{\beamer@slide {ft_discrete}{15}} +\newlabel{ft_discrete}{{8}{15}{Diskrete Fourier Transformation}{Doc-Start}{}} +\@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{15/15}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}} +\HyPL@Entry{15<</P(9)>>} +\@writefile{nav}{\headcommand {\slideentry {4}{0}{2}{16/16}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}} +\HyPL@Entry{16<</P(10)>>} +\@writefile{toc}{\beamer@sectionintoc {5}{Probleme und Fragen}{17}{0}{5}} +\@writefile{nav}{\headcommand {\beamer@sectionpages {15}{16}}} +\@writefile{nav}{\headcommand {\beamer@subsectionpages {15}{16}}} +\@writefile{nav}{\headcommand {\sectionentry {5}{Probleme und Fragen}{17}{Probleme und Fragen}{0}}} +\@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{17/18}{}{0}}} +\@writefile{nav}{\headcommand {\beamer@framepages {17}{18}}} +\@writefile{nav}{\headcommand {\beamer@partpages {1}{18}}} +\@writefile{nav}{\headcommand {\beamer@subsectionpages {17}{18}}} +\@writefile{nav}{\headcommand {\beamer@sectionpages {17}{18}}} +\@writefile{nav}{\headcommand {\beamer@documentpages {18}}} +\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {10}}} diff --git a/buch/papers/reedsolomon/RS presentation/RS.bbl b/buch/papers/reedsolomon/RS presentation/RS.bbl deleted file mode 100644 index e69de29..0000000 --- a/buch/papers/reedsolomon/RS presentation/RS.bbl +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/RS.log b/buch/papers/reedsolomon/RS presentation/RS.log index f7dc931..4e1c806 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.log +++ b/buch/papers/reedsolomon/RS presentation/RS.log @@ -1,10 +1,10 @@ -This is pdfTeX, Version 3.14159265-2.6-1.40.20 (TeX Live 2019/W32TeX) (preloaded format=pdflatex 2019.11.30) 20 APR 2021 12:21 +This is XeTeX, Version 3.14159265-2.6-0.999991 (TeX Live 2019/W32TeX) (preloaded format=xelatex 2019.10.25) 21 APR 2021 18:18 entering extended mode restricted \write18 enabled. %&-line parsing enabled. **RS.tex (./RS.tex -LaTeX2e <2019-10-01> patch level 3 +LaTeX2e <2019-10-01> patch level 1 (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamer.cls Document Class: beamer 2019/09/29 v3.57 A class for typesetting presentations (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasemodes.sty @@ -24,12 +24,9 @@ Package: etoolbox 2019/09/21 v2.5h e-TeX tools for LaTeX (JAW) \beamer@commentbox=\box29 \beamer@modecount=\count85 ) -(c:/texlive/2019/texmf-dist/tex/generic/iftex/ifpdf.sty -Package: ifpdf 2019/10/25 v3.4 ifpdf legacy package. Use iftex instead. - -(c:/texlive/2019/texmf-dist/tex/generic/iftex/iftex.sty -Package: iftex 2019/11/07 v1.0c TeX engine tests -)) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifpdf.sty +Package: ifpdf 2018/09/07 v3.3 Provides the ifpdf switch +) \headdp=\dimen102 \footheight=\dimen103 \sidebarheight=\dimen104 @@ -84,11 +81,12 @@ Package: keyval 2014/10/28 v1.15 key=value parser (DPC) (c:/texlive/2019/texmf-dist/tex/latex/geometry/geometry.sty Package: geometry 2018/04/16 v5.8 Page Geometry -(c:/texlive/2019/texmf-dist/tex/generic/iftex/ifvtex.sty -Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead. +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifvtex.sty +Package: ifvtex 2016/05/16 v1.6 Detect VTeX and its facilities (HO) +Package ifvtex Info: VTeX not detected. ) -(c:/texlive/2019/texmf-dist/tex/generic/iftex/ifxetex.sty -Package: ifxetex 2019/10/25 v0.7 ifxetex legacy package. Use iftex instead. +(c:/texlive/2019/texmf-dist/tex/generic/ifxetex/ifxetex.sty +Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional ) \Gm@cnth=\count105 \Gm@cntv=\count106 @@ -104,14 +102,14 @@ Package: ifxetex 2019/10/25 v0.7 ifxetex legacy package. Use iftex instead. \Gm@dimlist=\toks15 ) (c:/texlive/2019/texmf-dist/tex/latex/base/size11.clo -File: size11.clo 2019/10/25 v1.4k Standard LaTeX file (size option) +File: size11.clo 2019/08/27 v1.4j Standard LaTeX file (size option) ) (c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty (c:/texlive/2019/texmf-dist/tex/latex/graphics/graphicx.sty Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR) (c:/texlive/2019/texmf-dist/tex/latex/graphics/graphics.sty -Package: graphics 2019/11/01 v1.3d Standard LaTeX Graphics (DPC,SPQR) +Package: graphics 2019/10/08 v1.3c Standard LaTeX Graphics (DPC,SPQR) (c:/texlive/2019/texmf-dist/tex/latex/graphics/trig.sty Package: trig 2016/01/03 v1.10 sin cos tan (DPC) @@ -119,10 +117,10 @@ Package: trig 2016/01/03 v1.10 sin cos tan (DPC) (c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/graphics.cfg File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration ) -Package graphics Info: Driver file: pdftex.def on input line 105. +Package graphics Info: Driver file: xetex.def on input line 105. -(c:/texlive/2019/texmf-dist/tex/latex/graphics-def/pdftex.def -File: pdftex.def 2018/01/08 v1.0l Graphics/color driver for pdftex +(c:/texlive/2019/texmf-dist/tex/latex/graphics-def/xetex.def +File: xetex.def 2017/06/24 v5.0h Graphics/color driver for xetex )) \Gin@req@height=\dimen126 \Gin@req@width=\dimen127 @@ -178,18 +176,23 @@ Package: pgfsys 2019/08/03 v3.1.4b (3.1.4b) (c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg File: pgf.cfg 2019/08/03 v3.1.4b (3.1.4b) ) -Driver file for pgf: pgfsys-pdftex.def +Driver file for pgf: pgfsys-xetex.def + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def +File: pgfsys-xetex.def 2019/08/03 v3.1.4b (3.1.4b) -(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-pdftex.def -File: pgfsys-pdftex.def 2019/08/03 v3.1.4b (3.1.4b) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def +File: pgfsys-dvipdfmx.def 2019/08/03 v3.1.4b (3.1.4b) (c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def File: pgfsys-common-pdf.def 2019/08/03 v3.1.4b (3.1.4b) +) +\pgfsys@objnum=\count113 ))) (c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex File: pgfsyssoftpath.code.tex 2019/08/03 v3.1.4b (3.1.4b) -\pgfsyssoftpath@smallbuffer@items=\count113 -\pgfsyssoftpath@bigbuffer@items=\count114 +\pgfsyssoftpath@smallbuffer@items=\count114 +\pgfsyssoftpath@bigbuffer@items=\count115 ) (c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex File: pgfsysprotocol.code.tex 2019/08/03 v3.1.4b (3.1.4b) @@ -199,9 +202,8 @@ Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) (c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/color.cfg File: color.cfg 2016/01/02 v1.6 sample color configuration ) -Package xcolor Info: Driver file: pdftex.def on input line 225. +Package xcolor Info: Driver file: xetex.def on input line 225. Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. -Package xcolor Info: Model `hsb' substituted by `rgb' on input line 1352. Package xcolor Info: Model `RGB' extended on input line 1364. Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. @@ -218,7 +220,7 @@ Package: pgfcore 2019/08/03 v3.1.4b (3.1.4b) (c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) (c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex \pgfmath@dimen=\dimen140 -\pgfmath@count=\count115 +\pgfmath@count=\count116 \pgfmath@box=\box37 \pgfmath@toks=\toks23 \pgfmath@stack@operand=\toks24 @@ -242,7 +244,7 @@ x) (c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithm etics.code.tex))) (c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex -\c@pgfmathroundto@lastzeros=\count116 +\c@pgfmathroundto@lastzeros=\count117 )) (c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) (c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex @@ -279,7 +281,7 @@ File: pgfcorescopes.code.tex 2019/08/03 v3.1.4b (3.1.4b) \pgfpic=\box38 \pgf@hbox=\box39 \pgf@layerbox@main=\box40 -\pgf@picture@serial@count=\count117 +\pgf@picture@serial@count=\count118 ) (c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code .tex @@ -310,8 +312,8 @@ File: pgfcorearrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) (c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex File: pgfcoreshade.code.tex 2019/08/03 v3.1.4b (3.1.4b) \pgf@max=\dimen164 -\pgf@sys@shading@range@num=\count118 -\pgf@shadingcount=\count119 +\pgf@sys@shading@range@num=\count119 +\pgf@shadingcount=\count120 ) (c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex File: pgfcoreimage.code.tex 2019/08/03 v3.1.4b (3.1.4b) @@ -333,8 +335,8 @@ File: pgfcorepatterns.code.tex 2019/08/03 v3.1.4b (3.1.4b) File: pgfcorerdf.code.tex 2019/08/03 v3.1.4b (3.1.4b) ))) (c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty Package: xxcolor 2003/10/24 ver 0.1 -\XC@nummixins=\count120 -\XC@countmixins=\count121 +\XC@nummixins=\count121 +\XC@countmixins=\count122 ) (c:/texlive/2019/texmf-dist/tex/generic/oberdiek/atbegshi.sty Package: atbegshi 2016/06/09 v1.18 At begin shipout hook (HO) @@ -346,41 +348,46 @@ Package: infwarerr 2016/05/16 v1.4 Providing info/warning/error messages (HO) Package: ltxcmds 2016/05/16 v1.23 LaTeX kernel commands for general use (HO) )) (c:/texlive/2019/texmf-dist/tex/latex/hyperref/hyperref.sty -Package: hyperref 2019/11/10 v7.00c Hypertext links for LaTeX +Package: hyperref 2019/09/28 v7.00a Hypertext links for LaTeX -(c:/texlive/2019/texmf-dist/tex/latex/pdftexcmds/pdftexcmds.sty -Package: pdftexcmds 2019/11/24 v0.31 Utility functions of pdfTeX for LuaTeX (HO -) -Package pdftexcmds Info: \pdf@primitive is available. -Package pdftexcmds Info: \pdf@ifprimitive is available. -Package pdftexcmds Info: \pdfdraftmode found. -) -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/kvsetkeys.sty -Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/hobsub-hyperref.sty +Package: hobsub-hyperref 2016/05/16 v1.14 Bundle oberdiek, subset hyperref (HO) -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/etexcmds.sty -Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO) -(c:/texlive/2019/texmf-dist/tex/generic/iftex/ifluatex.sty -Package: ifluatex 2019/10/25 v1.5 ifluatex legacy package. Use iftex instead. -))) -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/kvdefinekeys.sty +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/hobsub-generic.sty +Package: hobsub-generic 2016/05/16 v1.14 Bundle oberdiek, subset generic (HO) +Package: hobsub 2016/05/16 v1.14 Construct package bundles (HO) +Package hobsub Info: Skipping package `infwarerr' (already loaded). +Package hobsub Info: Skipping package `ltxcmds' (already loaded). +Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) +Package ifluatex Info: LuaTeX not detected. +Package hobsub Info: Skipping package `ifvtex' (already loaded). +Package: intcalc 2016/05/16 v1.2 Expandable calculations with integers (HO) +Package hobsub Info: Skipping package `ifpdf' (already loaded). +Package: etexcmds 2016/05/16 v1.6 Avoid name clashes with e-TeX commands (HO) +Package: kvsetkeys 2016/05/16 v1.17 Key value parser (HO) Package: kvdefinekeys 2016/05/16 v1.4 Define keys (HO) +Package: pdftexcmds 2019/07/25 v0.30 Utility functions of pdfTeX for LuaTeX (HO ) -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/pdfescape.sty +Package pdftexcmds Info: LuaTeX not detected. +Package pdftexcmds Info: pdfTeX >= 1.30 not detected. +Package pdftexcmds Info: \pdf@primitive is available. +Package pdftexcmds Info: \pdf@ifprimitive is available. +Package pdftexcmds Info: \pdfdraftmode not found. Package: pdfescape 2016/05/16 v1.14 Implements pdfTeX's escape features (HO) +Package: bigintcalc 2016/05/16 v1.4 Expandable calculations on big integers (HO ) -(c:/texlive/2019/texmf-dist/tex/latex/oberdiek/hycolor.sty -Package: hycolor 2016/05/16 v1.8 Color options for hyperref/bookmark (HO) - -(c:/texlive/2019/texmf-dist/tex/latex/oberdiek/xcolor-patch.sty -Package: xcolor-patch 2016/05/16 xcolor patch - -(c:/texlive/2019/texmf-dist/tex/latex/oberdiek/hopatch.sty -Package: hopatch 2016/05/16 v1.3 Wrapper for package hooks (HO) -))) -(c:/texlive/2019/texmf-dist/tex/latex/oberdiek/letltxmacro.sty +Package: bitset 2016/05/16 v1.2 Handle bit-vector datatype (HO) +Package: uniquecounter 2016/05/16 v1.3 Provide unlimited unique counter (HO) +) +Package hobsub Info: Skipping package `hobsub' (already loaded). Package: letltxmacro 2016/05/16 v1.5 Let assignment for LaTeX macros (HO) +Package: hopatch 2016/05/16 v1.3 Wrapper for package hooks (HO) +Package: xcolor-patch 2016/05/16 xcolor patch +Package: atveryend 2016/05/16 v1.9 Hooks at the very end of document (HO) +Package hobsub Info: Skipping package `atbegshi' (already loaded). +Package: refcount 2016/05/16 v3.5 Data extraction from label references (HO) +Package: hycolor 2016/05/16 v1.8 Color options for hyperref/bookmark (HO) ) (c:/texlive/2019/texmf-dist/tex/latex/oberdiek/auxhook.sty Package: auxhook 2016/05/16 v1.4 Hooks for auxiliary files (HO) @@ -389,85 +396,79 @@ Package: auxhook 2016/05/16 v1.4 Hooks for auxiliary files (HO) Package: kvoptions 2016/05/16 v3.12 Key value format for package options (HO) ) \@linkdim=\dimen165 -\Hy@linkcounter=\count122 -\Hy@pagecounter=\count123 +\Hy@linkcounter=\count123 +\Hy@pagecounter=\count124 (c:/texlive/2019/texmf-dist/tex/latex/hyperref/pd1enc.def -File: pd1enc.def 2019/11/10 v7.00c Hyperref: PDFDocEncoding definition (HO) -Now handling font encoding PD1 ... -... no UTF-8 mapping file for font encoding PD1 +File: pd1enc.def 2019/09/28 v7.00a Hyperref: PDFDocEncoding definition (HO) ) -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/intcalc.sty -Package: intcalc 2016/05/16 v1.2 Expandable calculations with integers (HO) -) -\Hy@SavedSpaceFactor=\count124 +\Hy@SavedSpaceFactor=\count125 (c:/texlive/2019/texmf-dist/tex/latex/latexconfig/hyperref.cfg File: hyperref.cfg 2002/06/06 v1.2 hyperref configuration of TeXLive ) -Package hyperref Info: Option `bookmarks' set `true' on input line 4409. -Package hyperref Info: Option `bookmarksopen' set `true' on input line 4409. -Package hyperref Info: Option `implicit' set `false' on input line 4409. -Package hyperref Info: Hyper figures OFF on input line 4535. -Package hyperref Info: Link nesting OFF on input line 4540. -Package hyperref Info: Hyper index ON on input line 4543. -Package hyperref Info: Plain pages OFF on input line 4550. -Package hyperref Info: Backreferencing OFF on input line 4555. +Package hyperref Info: Option `bookmarks' set `true' on input line 4414. +Package hyperref Info: Option `bookmarksopen' set `true' on input line 4414. +Package hyperref Info: Option `implicit' set `false' on input line 4414. +Package hyperref Info: Hyper figures OFF on input line 4540. +Package hyperref Info: Link nesting OFF on input line 4545. +Package hyperref Info: Hyper index ON on input line 4548. +Package hyperref Info: Plain pages OFF on input line 4555. +Package hyperref Info: Backreferencing OFF on input line 4560. Package hyperref Info: Implicit mode OFF; no redefinition of LaTeX internals. -Package hyperref Info: Bookmarks ON on input line 4788. -\c@Hy@tempcnt=\count125 +Package hyperref Info: Bookmarks ON on input line 4793. +\c@Hy@tempcnt=\count126 (c:/texlive/2019/texmf-dist/tex/latex/url/url.sty \Urlmuskip=\muskip10 Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc. ) -LaTeX Info: Redefining \url on input line 5147. +LaTeX Info: Redefining \url on input line 5152. \XeTeXLinkMargin=\dimen166 - -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/bitset.sty -Package: bitset 2016/05/16 v1.2 Handle bit-vector datatype (HO) - -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/bigintcalc.sty -Package: bigintcalc 2016/05/16 v1.4 Expandable calculations on big integers (HO -) -)) -\Fld@menulength=\count126 +\Fld@menulength=\count127 \Field@Width=\dimen167 \Fld@charsize=\dimen168 -Package hyperref Info: Hyper figures OFF on input line 6418. -Package hyperref Info: Link nesting OFF on input line 6423. -Package hyperref Info: Hyper index ON on input line 6426. -Package hyperref Info: backreferencing OFF on input line 6433. -Package hyperref Info: Link coloring OFF on input line 6438. -Package hyperref Info: Link coloring with OCG OFF on input line 6443. -Package hyperref Info: PDF/A mode OFF on input line 6448. -LaTeX Info: Redefining \ref on input line 6488. -LaTeX Info: Redefining \pageref on input line 6492. -\Hy@abspage=\count127 +Package hyperref Info: Hyper figures OFF on input line 6423. +Package hyperref Info: Link nesting OFF on input line 6428. +Package hyperref Info: Hyper index ON on input line 6431. +Package hyperref Info: backreferencing OFF on input line 6438. +Package hyperref Info: Link coloring OFF on input line 6443. +Package hyperref Info: Link coloring with OCG OFF on input line 6448. +Package hyperref Info: PDF/A mode OFF on input line 6453. +LaTeX Info: Redefining \ref on input line 6493. +LaTeX Info: Redefining \pageref on input line 6497. +\Hy@abspage=\count128 Package hyperref Message: Stopped early. ) -Package hyperref Info: Driver (autodetected): hpdftex. - (c:/texlive/2019/texmf-dist/tex/latex/hyperref/hpdftex.def -File: hpdftex.def 2019/11/10 v7.00c Hyperref driver for pdfTeX +Package hyperref Info: Driver (autodetected): hxetex. + (c:/texlive/2019/texmf-dist/tex/latex/hyperref/hxetex.def +File: hxetex.def 2019/09/28 v7.00a Hyperref driver for XeTeX -(c:/texlive/2019/texmf-dist/tex/latex/oberdiek/atveryend.sty -Package: atveryend 2016/05/16 v1.9 Hooks at the very end of document (HO) +(c:/texlive/2019/texmf-dist/tex/latex/hyperref/puenc.def +File: puenc.def 2019/09/28 v7.00a Hyperref: PDF Unicode definition (HO) +) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/stringenc.sty +Package: stringenc 2016/05/16 v1.11 Convert strings between diff. encodings (HO ) -\Fld@listcount=\count128 -\c@bookmark@seq@number=\count129 +) +\pdfm@box=\box42 +\c@Hy@AnnotLevel=\count129 +\HyField@AnnotCount=\count130 +\Fld@listcount=\count131 +\c@bookmark@seq@number=\count132 (c:/texlive/2019/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty Package: rerunfilecheck 2016/05/16 v1.8 Rerun checks for auxiliary files (HO) - -(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/uniquecounter.sty -Package: uniquecounter 2016/05/16 v1.3 Provide unlimited unique counter (HO) -) Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 2 -85. +82. )) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/se-ascii-print.def +File: se-ascii-print.def 2016/05/16 v1.11 stringenc: Printable ASCII characters + +) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaserequires.sty (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasefont.sty @@ -496,50 +497,50 @@ Package: translator 2019-05-31 v1.12a Easy translation of strings in LaTeX (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasemisc.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty -\beamer@argscount=\count130 +\beamer@argscount=\count133 \beamer@lastskipcover=\skip44 -\beamer@trivlistdepth=\count131 +\beamer@trivlistdepth=\count134 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasetitle.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasesection.sty -\c@lecture=\count132 -\c@part=\count133 -\c@section=\count134 -\c@subsection=\count135 -\c@subsubsection=\count136 +\c@lecture=\count135 +\c@part=\count136 +\c@section=\count137 +\c@subsection=\count138 +\c@subsubsection=\count139 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseframe.sty -\beamer@framebox=\box42 -\beamer@frametitlebox=\box43 -\beamer@zoombox=\box44 -\beamer@zoomcount=\count137 -\beamer@zoomframecount=\count138 +\beamer@framebox=\box43 +\beamer@frametitlebox=\box44 +\beamer@zoombox=\box45 +\beamer@zoomcount=\count140 +\beamer@zoomframecount=\count141 \beamer@frametextheight=\dimen169 -\c@subsectionslide=\count139 +\c@subsectionslide=\count142 \beamer@frametopskip=\skip45 \beamer@framebottomskip=\skip46 \beamer@frametopskipautobreak=\skip47 \beamer@framebottomskipautobreak=\skip48 \beamer@envbody=\toks27 \framewidth=\dimen170 -\c@framenumber=\count140 +\c@framenumber=\count143 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty \beamer@verbatimfileout=\write4 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty -\beamer@splitbox=\box45 -\beamer@autobreakcount=\count141 +\beamer@splitbox=\box46 +\beamer@autobreakcount=\count144 \beamer@autobreaklastheight=\dimen171 \beamer@frametitletoks=\toks28 \beamer@framesubtitletoks=\toks29 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty -\beamer@footins=\box46 +\beamer@footins=\box47 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasecolor.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasenotes.sty -\beamer@frameboxcopy=\box47 +\beamer@frameboxcopy=\box48 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasetoc.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty @@ -547,11 +548,11 @@ Package: translator 2019-05-31 v1.12a Easy translation of strings in LaTeX (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty -\bmb@box=\box48 -\bmb@colorbox=\box49 -\bmb@boxshadow=\box50 -\bmb@boxshadowball=\box51 -\bmb@boxshadowballlarge=\box52 +\bmb@box=\box49 +\bmb@colorbox=\box50 +\bmb@boxshadow=\box51 +\bmb@boxshadowball=\box52 +\bmb@boxshadowballlarge=\box53 \bmb@temp=\dimen172 \bmb@dima=\dimen173 \bmb@dimb=\dimen174 @@ -564,8 +565,8 @@ Package: translator 2019-05-31 v1.12a Easy translation of strings in LaTeX Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC) \@enLab=\toks31 ) -\c@figure=\count142 -\c@table=\count143 +\c@figure=\count145 +\c@table=\count146 \abovecaptionskip=\skip49 \belowcaptionskip=\skip50 ) @@ -574,7 +575,7 @@ Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC) ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty (c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsmath.sty -Package: amsmath 2019/11/16 v2.17d AMS math features +Package: amsmath 2019/04/01 v2.17c AMS math features \@mathmargin=\skip51 For additional information on amsmath, use the `?' option. @@ -593,30 +594,30 @@ Package: amsbsy 1999/11/29 v1.2d Bold Symbols (c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsopn.sty Package: amsopn 2016/03/08 v2.02 operator names ) -\inf@bad=\count144 +\inf@bad=\count147 LaTeX Info: Redefining \frac on input line 227. -\uproot@=\count145 -\leftroot@=\count146 +\uproot@=\count148 +\leftroot@=\count149 LaTeX Info: Redefining \overline on input line 389. -\classnum@=\count147 -\DOTSCASE@=\count148 +\classnum@=\count150 +\DOTSCASE@=\count151 LaTeX Info: Redefining \ldots on input line 486. LaTeX Info: Redefining \dots on input line 489. LaTeX Info: Redefining \cdots on input line 610. -\Mathstrutbox@=\box53 -\strutbox@=\box54 +\Mathstrutbox@=\box54 +\strutbox@=\box55 \big@size=\dimen180 LaTeX Font Info: Redeclaring font encoding OML on input line 733. LaTeX Font Info: Redeclaring font encoding OMS on input line 734. -\macc@depth=\count149 -\c@MaxMatrixCols=\count150 +\macc@depth=\count152 +\c@MaxMatrixCols=\count153 \dotsspace@=\muskip11 -\c@parentequation=\count151 -\dspbrk@lvl=\count152 +\c@parentequation=\count154 +\dspbrk@lvl=\count155 \tag@help=\toks33 -\row@=\count153 -\column@=\count154 -\maxfields@=\count155 +\row@=\count156 +\column@=\count157 +\maxfields@=\count158 \andhelp@=\toks34 \eqnshift@=\dimen181 \alignsep@=\dimen182 @@ -628,8 +629,8 @@ LaTeX Font Info: Redeclaring font encoding OMS on input line 734. \multlinegap=\skip52 \multlinetaggap=\skip53 \mathdisplay@stack=\toks36 -LaTeX Info: Redefining \[ on input line 2858. -LaTeX Info: Redefining \] on input line 2859. +LaTeX Info: Redefining \[ on input line 2855. +LaTeX Info: Redefining \] on input line 2856. ) (c:/texlive/2019/texmf-dist/tex/latex/amscls/amsthm.sty Package: amsthm 2017/10/31 v2.20.4 @@ -643,7 +644,7 @@ Package: amsthm 2017/10/31 v2.20.4 \thm@headsep=\skip56 \dth@everypar=\toks42 ) -\c@theorem=\count156 +\c@theorem=\count159 ) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerbasethemes.sty)) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerthemedefault.sty @@ -658,13 +659,22 @@ Package: amsthm 2017/10/31 v2.20.4 Package: inputenc 2018/08/11 v1.3c Input encoding file \inpenc@prehook=\toks43 \inpenc@posthook=\toks44 -) -(c:/texlive/2019/texmf-dist/tex/latex/base/fontenc.sty + + +Package inputenc Warning: inputenc package ignored with utf8 based engines. + +) (c:/texlive/2019/texmf-dist/tex/latex/base/fontenc.sty Package: fontenc 2018/08/11 v2.0j Standard LaTeX package (c:/texlive/2019/texmf-dist/tex/latex/base/t1enc.def File: t1enc.def 2018/08/11 v2.0j Standard LaTeX file LaTeX Font Info: Redeclaring font encoding T1 on input line 48. +) +LaTeX Font Info: Trying to load font information for T1+lmss on input line 1 +05. + +(c:/texlive/2019/texmf-dist/tex/latex/lm/t1lmss.fd +File: t1lmss.fd 2009/10/30 v1.6 Font defs for Latin Modern )) (c:/texlive/2019/texmf-dist/tex/latex/lm/lmodern.sty Package: lmodern 2009/10/30 v1.6 Latin Modern Fonts @@ -702,10 +712,10 @@ LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' (Font) OT1/cmtt/m/n --> OT1/lmtt/m/n on input line 38. ) (c:/texlive/2019/texmf-dist/tex/generic/babel/babel.sty -Package: babel 2019/11/14 3.36 The Babel package +Package: babel 2019/10/15 3.35 The Babel package (c:/texlive/2019/texmf-dist/tex/generic/babel/switch.def -File: switch.def 2019/11/14 3.36 Babel switching mechanism +File: switch.def 2019/10/15 3.35 Babel switching mechanism ) (c:/texlive/2019/texmf-dist/tex/generic/babel-german/ngerman.ldf Language: ngerman 2018/12/08 v2.11 German support for babel (post-1996 orthogra @@ -716,50 +726,122 @@ Language: ngermanb 2018/12/08 v2.11 German support for babel (post-1996 orthogr aphy) (c:/texlive/2019/texmf-dist/tex/generic/babel/babel.def -File: babel.def 2019/11/14 3.36 Babel common definitions -\babel@savecnt=\count157 +File: babel.def 2019/10/15 3.35 Babel common definitions +\babel@savecnt=\count160 \U@D=\dimen189 -(c:/texlive/2019/texmf-dist/tex/generic/babel/txtbabel.def) -LaTeX Info: Redefining \textlatin on input line 2250. -\bbl@dirlevel=\count158 +(c:/texlive/2019/texmf-dist/tex/generic/babel/xebabel.def +(c:/texlive/2019/texmf-dist/tex/generic/babel/txtbabel.def)) +LaTeX Info: Redefining \textlatin on input line 2185. +\bbl@dirlevel=\count161 ) Package babel Info: Making " an active character on input line 121. ))) -(c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerthemeHannover.sty -(c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerouterthemesidebar.sty -\beamer@sidebarwidth=\dimen190 -\beamer@headheight=\dimen191 -LaTeX Font Info: Trying to load font information for T1+lmss on input line 1 -7. +(c:/texlive/2019/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +Package: pgf 2019/08/03 v3.1.4b (3.1.4b) -(c:/texlive/2019/texmf-dist/tex/latex/lm/t1lmss.fd -File: t1lmss.fd 2009/10/30 v1.6 Font defs for Latin Modern +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex +File: pgfmoduleshapes.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfnodeparttextbox=\box56 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +File: pgfmoduleplot.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.st +y +Package: pgfcomp-version-0-65 2019/08/03 v3.1.4b (3.1.4b) +\pgf@nodesepstart=\dimen190 +\pgf@nodesepend=\dimen191 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.st +y +Package: pgfcomp-version-1-18 2019/08/03 v3.1.4b (3.1.4b) +)) (c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex)) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/math/pgfmath.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +Package: pgffor 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) +\pgffor@iter=\dimen192 +\pgffor@skip=\dimen193 +\pgffor@stack=\toks45 +\pgffor@toks=\toks46 )) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +Package: tikz 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.co +de.tex +File: pgflibraryplothandlers.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@plot@mark@count=\count162 +\pgfplotmarksize=\dimen194 +) +\tikz@lastx=\dimen195 +\tikz@lasty=\dimen196 +\tikz@lastxsaved=\dimen197 +\tikz@lastysaved=\dimen198 +\tikz@lastmovetox=\dimen199 +\tikz@lastmovetoy=\dimen256 +\tikzleveldistance=\dimen257 +\tikzsiblingdistance=\dimen258 +\tikz@figbox=\box57 +\tikz@figbox@bg=\box58 +\tikz@tempbox=\box59 +\tikz@tempbox@bg=\box60 +\tikztreelevel=\count163 +\tikznumberofchildren=\count164 +\tikznumberofcurrentchild=\count165 +\tikz@fig@count=\count166 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +File: pgfmodulematrix.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfmatrixcurrentrow=\count167 +\pgfmatrixcurrentcolumn=\count168 +\pgf@matrix@numberofcolumns=\count169 +) +\tikz@expandcount=\count170 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarytopaths.code.tex +File: tikzlibrarytopaths.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) +(c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerthemeHannover.sty +(c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerouterthemesidebar.sty +\beamer@sidebarwidth=\dimen259 +\beamer@headheight=\dimen260 +) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamercolorthemeseahorse.sty) (c:/texlive/2019/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty)) (./RS.aux) \openout1 = `RS.aux'. -LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 7. -LaTeX Font Info: ... okay on input line 7. -LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 7. -LaTeX Font Info: ... okay on input line 7. -LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 7. -LaTeX Font Info: ... okay on input line 7. -LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 7. -LaTeX Font Info: ... okay on input line 7. -LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 7. -LaTeX Font Info: ... okay on input line 7. -LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 7. -LaTeX Font Info: ... okay on input line 7. -LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 7. -LaTeX Font Info: ... okay on input line 7. +LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for TU/lmr/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. +LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 9. +LaTeX Font Info: ... okay on input line 9. *geometry* driver: auto-detecting -*geometry* detected driver: pdftex +*geometry* detected driver: xetex *geometry* verbose mode - [ preamble ] result: -* driver: pdftex +* driver: xetex * paper: custom * layout: <same size as paper> * layoutoffset:(h,v)=(0.0pt,0.0pt) @@ -790,96 +872,71 @@ LaTeX Font Info: ... okay on input line 7. * \@reversemarginfalse * (1in=72.27pt=25.4mm, 1cm=28.453pt) -(c:/texlive/2019/texmf-dist/tex/context/base/mkii/supp-pdf.mkii -[Loading MPS to PDF converter (version 2006.09.02).] -\scratchcounter=\count159 -\scratchdimen=\dimen192 -\scratchbox=\box55 -\nofMPsegments=\count160 -\nofMParguments=\count161 -\everyMPshowfont=\toks45 -\MPscratchCnt=\count162 -\MPscratchDim=\dimen193 -\MPnumerator=\count163 -\makeMPintoPDFobject=\count164 -\everyMPtoPDFconversion=\toks46 -) (c:/texlive/2019/texmf-dist/tex/latex/epstopdf-pkg/epstopdf-base.sty -Package: epstopdf-base 2019/11/27 v2.8 Base part for package epstopdf -Package epstopdf-base Info: Redefining graphics rule for `.eps' on input line 4 -85. - -(c:/texlive/2019/texmf-dist/tex/latex/latexconfig/epstopdf-sys.cfg -File: epstopdf-sys.cfg 2010/07/13 v1.3 Configuration of (r)epstopdf for TeX Liv -e -)) ABD: EveryShipout initializing macros -\AtBeginShipoutBox=\box56 -Package hyperref Info: Link coloring OFF on input line 7. +\AtBeginShipoutBox=\box61 +Package hyperref Info: Link coloring OFF on input line 9. (c:/texlive/2019/texmf-dist/tex/latex/hyperref/nameref.sty Package: nameref 2019/09/16 v2.46 Cross-referencing by name of section -(c:/texlive/2019/texmf-dist/tex/latex/oberdiek/refcount.sty -Package: refcount 2016/05/16 v3.5 Data extraction from label references (HO) -) (c:/texlive/2019/texmf-dist/tex/generic/oberdiek/gettitlestring.sty Package: gettitlestring 2016/05/16 v1.5 Cleanup title references (HO) ) -\c@section@level=\count165 +\c@section@level=\count171 ) -LaTeX Info: Redefining \ref on input line 7. -LaTeX Info: Redefining \pageref on input line 7. -LaTeX Info: Redefining \nameref on input line 7. +LaTeX Info: Redefining \ref on input line 9. +LaTeX Info: Redefining \pageref on input line 9. +LaTeX Info: Redefining \nameref on input line 9. (./RS.out) (./RS.out) \@outlinefile=\write5 \openout5 = `RS.out'. LaTeX Font Info: Overwriting symbol font `operators' in version `normal' -(Font) OT1/lmr/m/n --> OT1/cmss/m/n on input line 7. +(Font) OT1/lmr/m/n --> OT1/cmss/m/n on input line 9. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' -(Font) OT1/lmr/bx/n --> OT1/cmss/bx/n on input line 7. +(Font) OT1/lmr/bx/n --> OT1/cmss/bx/n on input line 9. LaTeX Font Info: Overwriting symbol font `operators' in version `normal' -(Font) OT1/cmss/m/n --> OT1/lmss/m/n on input line 7. +(Font) OT1/cmss/m/n --> OT1/lmss/m/n on input line 9. LaTeX Font Info: Overwriting symbol font `operators' in version `bold' -(Font) OT1/cmss/bx/n --> OT1/lmss/bx/n on input line 7. +(Font) OT1/cmss/bx/n --> OT1/lmss/bx/n on input line 9. \symnumbers=\mathgroup6 \sympureletters=\mathgroup7 LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `normal' -(Font) OT1/lmss/m/n --> T1/lmr/m/n on input line 7. -LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 7. +(Font) OT1/lmss/m/n --> T1/lmr/m/n on input line 9. +LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' -(Font) OT1/lmr/bx/n --> T1/lmss/bx/n on input line 7. +(Font) OT1/lmr/bx/n --> T1/lmss/bx/n on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' -(Font) OT1/lmr/bx/n --> T1/lmss/bx/n on input line 7. -LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 7. +(Font) OT1/lmr/bx/n --> T1/lmss/bx/n on input line 9. +LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' -(Font) OT1/lmss/m/n --> T1/lmss/m/n on input line 7. +(Font) OT1/lmss/m/n --> T1/lmss/m/n on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' -(Font) OT1/lmss/bx/n --> T1/lmss/m/n on input line 7. -LaTeX Font Info: Redeclaring math alphabet \mathit on input line 7. +(Font) OT1/lmss/bx/n --> T1/lmss/m/n on input line 9. +LaTeX Font Info: Redeclaring math alphabet \mathit on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' -(Font) OT1/lmr/m/it --> T1/lmss/m/it on input line 7. +(Font) OT1/lmr/m/it --> T1/lmss/m/it on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' -(Font) OT1/lmr/bx/it --> T1/lmss/m/it on input line 7. -LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 7. +(Font) OT1/lmr/bx/it --> T1/lmss/m/it on input line 9. +LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' -(Font) OT1/lmtt/m/n --> T1/lmtt/m/n on input line 7. +(Font) OT1/lmtt/m/n --> T1/lmtt/m/n on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' -(Font) OT1/lmtt/m/n --> T1/lmtt/m/n on input line 7. +(Font) OT1/lmtt/m/n --> T1/lmtt/m/n on input line 9. LaTeX Font Info: Overwriting symbol font `numbers' in version `bold' -(Font) T1/lmss/m/n --> T1/lmss/bx/n on input line 7. +(Font) T1/lmss/m/n --> T1/lmss/bx/n on input line 9. LaTeX Font Info: Overwriting symbol font `pureletters' in version `bold' -(Font) T1/lmss/m/it --> T1/lmss/bx/it on input line 7. +(Font) T1/lmss/m/it --> T1/lmss/bx/it on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `bold' -(Font) OT1/lmss/bx/n --> T1/lmr/bx/n on input line 7. +(Font) OT1/lmss/bx/n --> T1/lmr/bx/n on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' -(Font) T1/lmss/bx/n --> T1/lmss/bx/n on input line 7. +(Font) T1/lmss/bx/n --> T1/lmss/bx/n on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' -(Font) T1/lmss/m/n --> T1/lmss/bx/n on input line 7. +(Font) T1/lmss/m/n --> T1/lmss/bx/n on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' -(Font) T1/lmss/m/it --> T1/lmss/bx/it on input line 7. +(Font) T1/lmss/m/it --> T1/lmss/bx/it on input line 9. LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' -(Font) T1/lmtt/m/n --> T1/lmtt/bx/n on input line 7. +(Font) T1/lmtt/m/n --> T1/lmtt/bx/n on input line 9. (c:/texlive/2019/texmf-dist/tex/latex/translator/translator-basic-dictionary-En glish.dict @@ -907,15 +964,151 @@ Dictionary: translator-theorem-dictionary, Language: English ) (./RS.nav) Package hyperref Warning: Option `pdfauthor' has already been used, -(hyperref) setting the option has no effect on input line 8. +(hyperref) setting the option has no effect on input line 10. Package hyperref Warning: Option `pdfsubject' has already been used, -(hyperref) setting the option has no effect on input line 14. +(hyperref) setting the option has no effect on input line 16. [1 -{c:/texlive/2019/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] [2 +] +LaTeX Font Info: Trying to load font information for OT1+lmss on input line +29. + (c:/texlive/2019/texmf-dist/tex/latex/lm/ot1lmss.fd +File: ot1lmss.fd 2009/10/30 v1.6 Font defs for Latin Modern +) +LaTeX Font Info: Trying to load font information for OML+lmm on input line 2 +9. + +(c:/texlive/2019/texmf-dist/tex/latex/lm/omllmm.fd +File: omllmm.fd 2009/10/30 v1.6 Font defs for Latin Modern +) +LaTeX Font Info: Trying to load font information for OMS+lmsy on input line +29. + +(c:/texlive/2019/texmf-dist/tex/latex/lm/omslmsy.fd +File: omslmsy.fd 2009/10/30 v1.6 Font defs for Latin Modern +) +LaTeX Font Info: Trying to load font information for OMX+lmex on input line +29. + +(c:/texlive/2019/texmf-dist/tex/latex/lm/omxlmex.fd +File: omxlmex.fd 2009/10/30 v1.6 Font defs for Latin Modern +) +LaTeX Font Info: External font `lmex10' loaded for size +(Font) <10.95> on input line 29. +LaTeX Font Info: External font `lmex10' loaded for size +(Font) <8> on input line 29. +LaTeX Font Info: External font `lmex10' loaded for size +(Font) <6> on input line 29. +LaTeX Font Info: Trying to load font information for U+msa on input line 29. + + +(c:/texlive/2019/texmf-dist/tex/latex/amsfonts/umsa.fd +File: umsa.fd 2013/01/14 v3.01 AMS symbols A +) +LaTeX Font Info: Trying to load font information for U+msb on input line 29. + + +(c:/texlive/2019/texmf-dist/tex/latex/amsfonts/umsb.fd +File: umsb.fd 2013/01/14 v3.01 AMS symbols B +) +LaTeX Font Info: Font shape `T1/lmss/m/it' in size <10.95> not available +(Font) Font shape `T1/lmss/m/sl' tried instead on input line 29. +LaTeX Font Info: Font shape `T1/lmss/m/it' in size <8> not available +(Font) Font shape `T1/lmss/m/sl' tried instead on input line 29. +LaTeX Font Info: Font shape `T1/lmss/m/it' in size <6> not available +(Font) Font shape `T1/lmss/m/sl' tried instead on input line 29. + [2 + +] [3 + +] +File: images/polynom1.pdf Graphic file (type pdf) +<use images/polynom1.pdf> + [4 + +] +File: images/polynom2.pdf Graphic file (type pdf) +<use images/polynom2.pdf> + [5 + +] +[6 + +] [7 + +] +File: images/fig1.pdf Graphic file (type pdf) +<use images/fig1.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[8 + +] +File: images/fig2.pdf Graphic file (type pdf) +<use images/fig2.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[9 + +] +File: images/fig3.pdf Graphic file (type pdf) +<use images/fig3.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[10 + +] +File: images/fig4.pdf Graphic file (type pdf) +<use images/fig4.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[11 + +] +File: images/fig5.pdf Graphic file (type pdf) +<use images/fig5.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[12 + +] +File: images/fig6.pdf Graphic file (type pdf) +<use images/fig6.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[13 + +] +File: images/fig7.pdf Graphic file (type pdf) +<use images/fig7.pdf> + +Overfull \vbox (14.63716pt too high) detected at line 105 + [] + +[14 + +] [15 + +] [16 + +] [17 + +] [18 ] \tf@nav=\write6 @@ -927,30 +1120,21 @@ Package hyperref Warning: Option `pdfsubject' has already been used, \tf@snm=\write8 \openout8 = `RS.snm'. -Package atveryend Info: Empty hook `BeforeClearDocument' on input line 25. -Package atveryend Info: Empty hook `AfterLastShipout' on input line 25. +Package atveryend Info: Empty hook `BeforeClearDocument' on input line 160. +Package atveryend Info: Empty hook `AfterLastShipout' on input line 160. (./RS.aux) -Package atveryend Info: Executing hook `AtVeryEndDocument' on input line 25. -Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 25. +Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 160. +Package atveryend Info: Executing hook `AtEndAfterFileList' on input line 160. Package rerunfilecheck Info: File `RS.out' has not changed. -(rerunfilecheck) Checksum: D41D8CD98F00B204E9800998ECF8427E;0. +(rerunfilecheck) Checksum: 74C688051BF542B3A11E9793A97790F4. ) Here is how much of TeX's memory you used: - 18359 strings out of 492164 - 341776 string characters out of 6129087 - 431862 words of memory out of 5000000 - 22272 multiletter control sequences out of 15000+600000 - 19654 words of font info for 23 fonts, out of 8000000 for 9000 - 1141 hyphenation exceptions out of 8191 - 58i,12n,57p,796b,459s stack positions out of 5000i,500n,10000p,200000b,80000s -{c:/texlive/2019/texmf-dist/fonts/enc/dvips/lm/lm-ec.enc}<c:/texlive/2019/tex -mf-dist/fonts/type1/public/lm/lmss10.pfb><c:/texlive/2019/texmf-dist/fonts/type -1/public/lm/lmss12.pfb><c:/texlive/2019/texmf-dist/fonts/type1/public/lm/lmss8. -pfb> -Output written on RS.pdf (2 pages, 53965 bytes). -PDF statistics: - 42 PDF objects out of 1000 (max. 8388607) - 28 compressed objects within 1 object stream - 5 named destinations out of 1000 (max. 500000) - 43 words of extra memory for PDF output out of 10000 (max. 10000000) + 24400 strings out of 492483 + 451960 string characters out of 6132858 + 534889 words of memory out of 5000000 + 28378 multiletter control sequences out of 15000+600000 + 37892 words of font info for 41 fonts, out of 8000000 for 9000 + 1348 hyphenation exceptions out of 8191 + 58i,15n,61p,796b,549s stack positions out of 5000i,500n,10000p,200000b,80000s +Output written on RS.pdf (18 pages). diff --git a/buch/papers/reedsolomon/RS presentation/RS.nav b/buch/papers/reedsolomon/RS presentation/RS.nav index 9033d8b..1d67391 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.nav +++ b/buch/papers/reedsolomon/RS presentation/RS.nav @@ -1,9 +1,40 @@ \headcommand {\slideentry {0}{0}{1}{1/1}{}{0}} \headcommand {\beamer@framepages {1}{1}} -\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}} +\headcommand {\beamer@sectionpages {1}{1}} +\headcommand {\beamer@subsectionpages {1}{1}} +\headcommand {\sectionentry {1}{Einführung}{2}{Einführung}{0}} +\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}} \headcommand {\beamer@framepages {2}{2}} -\headcommand {\beamer@partpages {1}{2}} -\headcommand {\beamer@subsectionpages {1}{2}} -\headcommand {\beamer@sectionpages {1}{2}} -\headcommand {\beamer@documentpages {2}} -\headcommand {\gdef \inserttotalframenumber {2}} +\headcommand {\beamer@sectionpages {2}{2}} +\headcommand {\beamer@subsectionpages {2}{2}} +\headcommand {\sectionentry {2}{Polynom Ansatz}{3}{Polynom Ansatz}{0}} +\headcommand {\slideentry {2}{0}{1}{3/3}{}{0}} +\headcommand {\beamer@framepages {3}{3}} +\headcommand {\slideentry {2}{0}{2}{4/5}{}{0}} +\headcommand {\beamer@framepages {4}{5}} +\headcommand {\slideentry {2}{0}{3}{6/6}{}{0}} +\headcommand {\beamer@framepages {6}{6}} +\headcommand {\beamer@sectionpages {3}{6}} +\headcommand {\beamer@subsectionpages {3}{6}} +\headcommand {\sectionentry {3}{Fourier Transformation}{7}{Fourier Transformation}{0}} +\headcommand {\slideentry {3}{0}{1}{7/7}{}{0}} +\headcommand {\beamer@framepages {7}{7}} +\headcommand {\slideentry {3}{0}{2}{8/14}{}{0}} +\headcommand {\beamer@framepages {8}{14}} +\headcommand {\beamer@sectionpages {7}{14}} +\headcommand {\beamer@subsectionpages {7}{14}} +\headcommand {\sectionentry {4}{Diskrete Fourier Transformation}{15}{Diskrete Fourier Transformation}{0}} +\headcommand {\slideentry {4}{0}{1}{15/15}{}{0}} +\headcommand {\beamer@framepages {15}{15}} +\headcommand {\slideentry {4}{0}{2}{16/16}{}{0}} +\headcommand {\beamer@framepages {16}{16}} +\headcommand {\beamer@sectionpages {15}{16}} +\headcommand {\beamer@subsectionpages {15}{16}} +\headcommand {\sectionentry {5}{Probleme und Fragen}{17}{Probleme und Fragen}{0}} +\headcommand {\slideentry {5}{0}{1}{17/18}{}{0}} +\headcommand {\beamer@framepages {17}{18}} +\headcommand {\beamer@partpages {1}{18}} +\headcommand {\beamer@subsectionpages {17}{18}} +\headcommand {\beamer@sectionpages {17}{18}} +\headcommand {\beamer@documentpages {18}} +\headcommand {\gdef \inserttotalframenumber {10}} diff --git a/buch/papers/reedsolomon/RS presentation/RS.out b/buch/papers/reedsolomon/RS presentation/RS.out index e69de29..32b9a2c 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.out +++ b/buch/papers/reedsolomon/RS presentation/RS.out @@ -0,0 +1,5 @@ +\BOOKMARK [2][]{Outline0.1}{Einführung}{}% 1 +\BOOKMARK [2][]{Outline0.2}{Polynom\040Ansatz}{}% 2 +\BOOKMARK [2][]{Outline0.3}{Fourier\040Transformation}{}% 3 +\BOOKMARK [2][]{Outline0.4}{Diskrete\040Fourier\040Transformation}{}% 4 +\BOOKMARK [2][]{Outline0.5}{Probleme\040und\040Fragen}{}% 5 diff --git a/buch/papers/reedsolomon/RS presentation/RS.pdf b/buch/papers/reedsolomon/RS presentation/RS.pdf Binary files differindex 459d7e8..913bc42 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.pdf +++ b/buch/papers/reedsolomon/RS presentation/RS.pdf diff --git a/buch/papers/reedsolomon/RS presentation/RS.snm b/buch/papers/reedsolomon/RS presentation/RS.snm index e69de29..6607ea8 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.snm +++ b/buch/papers/reedsolomon/RS presentation/RS.snm @@ -0,0 +1 @@ +\beamer@slide {ft_discrete}{15} diff --git a/buch/papers/reedsolomon/RS presentation/RS.synctex.gz b/buch/papers/reedsolomon/RS presentation/RS.synctex.gz Binary files differindex fe8adf5..001b5c8 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.synctex.gz +++ b/buch/papers/reedsolomon/RS presentation/RS.synctex.gz diff --git a/buch/papers/reedsolomon/RS presentation/RS.tex b/buch/papers/reedsolomon/RS presentation/RS.tex index 400e654..eecd66b 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.tex +++ b/buch/papers/reedsolomon/RS presentation/RS.tex @@ -3,7 +3,9 @@ \usepackage[T1]{fontenc} \usepackage{lmodern} \usepackage[ngerman]{babel} +\usepackage{tikz} \usetheme{Hannover} + \begin{document} \author{Joshua Bär und Michael Steiner} \title{Reed-Solomon-Code} @@ -17,13 +19,152 @@ \begin{frame}[plain] \maketitle \end{frame} -%------------------------------------------------------------------------------- + \section{Einführung} + \begin{frame} + \frametitle{Einführung} + \begin{itemize} + \item Reed-Solomon-Code beschäftigt sich mit der Übertragung von Daten + und deren Fehler Erkennung. + \end{itemize} + \end{frame} +\section{Polynom Ansatz} \begin{frame} - \frametitle{Test} - Ich mag Züge. + Beispiel 2, 1, 5 Versenden und auf 2 Fehler absichern. + \end{frame} + \begin{frame} + Übertragen von + ${f}_2=$\textcolor{blue}{2}, ${f}_1$\textcolor{blue}{1}, ${f}_0$\textcolor{blue}{5} + als $ p(w) = \textcolor{blue}{2}w^2 + \textcolor{blue}{1}w + \textcolor{blue}{5} $. + + \only<1>{ + Versende $ (p(1),p(2),...,p(7)) = (\textcolor{green}{8}, + \textcolor{green}{15}, \textcolor{green}{26}, + \textcolor{green}{ 41}, \textcolor{green}{60}, + \textcolor{green}{83}, \textcolor{green}{110})$ + \includegraphics[scale = 1.2]{images/polynom1.pdf}} + \only<2>{ + Versende $ (p(1),p(2),...,p(7)) = (\textcolor{green}{8}, + \textcolor{red}{50}, \textcolor{red}{37}, + \textcolor{green}{ 41}, \textcolor{green}{60}, + \textcolor{green}{83}, \textcolor{green}{110})$ + \includegraphics[scale = 1.2]{images/polynom2.pdf} + \textcolor{green}{7} Zahlen versenden, um \textcolor{blue}{3} Zahlen gegen \textcolor{red}{2} Fehlern abzusichern.} \end{frame} \begin{frame} + \frametitle{Parameter} + \begin{center} + \begin{tabular}{ c c c } + \hline + "Nutzlast" & Fehler & Versenden \\ + \hline + 3 & 2 & 7 Werte eines Polynoms vom Grad 2 \\ + 4 & 2 & 8 Werte eines Polynoms vom Grad 3 \\ + 3 & 2 & 7 Werte eines Polynoms vom Grad 2 \\ + &&\\ + k & t & k+2t Werte eines Polynoms vom Grad k-1 \\ + \hline + &&\\ + &&\\ + &Ausserdem können bis zu 2t Fehler erkannt werden!\\ + \end{tabular} + \end{center} + + + + \end{frame} +\section{Diskrete Fourier Transformation} + \begin{frame} + \frametitle{Idee} + \begin{itemize} + \item Idee mit Fourier Transformieren und dann senden. + \item Danach Empfangen und Rücktransformieren. + \end{itemize} + \end{frame} + + \begin{frame} + \begin{figure} + \only<1>{ + \includegraphics[width=0.9\linewidth]{images/fig1.pdf} + } + \only<2>{ + \includegraphics[width=0.9\linewidth]{images/fig2.pdf} + } + \only<3>{ + \includegraphics[width=0.9\linewidth]{images/fig3.pdf} + } + \only<4>{ + \includegraphics[width=0.9\linewidth]{images/fig4.pdf} + } + \only<5>{ + \includegraphics[width=0.9\linewidth]{images/fig5.pdf} + } + \only<6>{ + \includegraphics[width=0.9\linewidth]{images/fig6.pdf} + } + \only<7>{ + \includegraphics[width=0.9\linewidth]{images/fig7.pdf} + } + \end{figure} + \end{frame} + + + \begin{frame} + \frametitle{Diskrete Fourier Transformation} + Die Diskrete Fourier Transformation ist so gegeben: + \[ + \label{ft_discrete} + \hat{c}_{k} + = \frac{1}{N} \sum_{n=0}^{N-1} + {f}_n \cdot e^{-\frac{2\pi j}{N} \cdot kn} + \]. + + \[ + w = e^{-\frac{2\pi j}{N} k} + \] + Wenn $N$ konstant: + \[ + \hat{c}_{k}=\frac{1}{N}( {f}_0 w^0 + {f}_1 w^1 + {f}_2 w^2 + \dots + {f}_{N-1} w^N) + \] + \end{frame} + + + \begin{frame} + \frametitle{Diskrete Fourier Transformation} + \[ + \begin{pmatrix} + \hat{c}_1 \\\hat{c}_2 \\\hat{c}_3 \\ \vdots \\\hat{c}_n + \end{pmatrix} + = + \begin{pmatrix} + w^0 & w^0 & w^0 & \dots &w^0 \\ + w^0 & w^1 &w^2 & \dots &w^N \\ + w^0 & w^2 &w^4 & \dots &w^{2N} \\ + \vdots & \vdots &\vdots &\ddots &\vdots \\ + w^0 & w^{1(N-1)}&w^{2(N-1)}& \dots &w^{(N-1)(N-1)} \\ + \end{pmatrix} + \begin{pmatrix} + \textcolor{blue}{f_0} \\ + \textcolor{blue}{f_1} \\ + \textcolor{blue}{f_2} \\ + \vdots \\ + 0 \\ + \end{pmatrix} + \] + \end{frame} + +\section{Probleme und Fragen} + \begin{frame} + \frametitle{Probleme und Fragen} + + Wie wird der Fehler lokalisiert? + \only<2>{ + \newline + Indem in einem Endlichen Körper gerechnet wird. + } + \end{frame} + + \begin{frame} \frametitle{Reed-Solomon in Endlichen Körpern} \begin{itemize} @@ -728,4 +869,5 @@ \end{frame} %------------------------------------------------------------------------------- -\end{document}
\ No newline at end of file + +\end{document} diff --git a/buch/papers/reedsolomon/RS presentation/RS.toc b/buch/papers/reedsolomon/RS presentation/RS.toc index 4cd1c86..44c06ab 100644 --- a/buch/papers/reedsolomon/RS presentation/RS.toc +++ b/buch/papers/reedsolomon/RS presentation/RS.toc @@ -1 +1,6 @@ \babel@toc {ngerman}{} +\beamer@sectionintoc {1}{Einführung}{2}{0}{1} +\beamer@sectionintoc {2}{Polynom Ansatz}{3}{0}{2} +\beamer@sectionintoc {3}{Fourier Transformation}{7}{0}{3} +\beamer@sectionintoc {4}{Diskrete Fourier Transformation}{15}{0}{4} +\beamer@sectionintoc {5}{Probleme und Fragen}{17}{0}{5} diff --git a/buch/papers/reedsolomon/RS presentation/Thumbs.db b/buch/papers/reedsolomon/RS presentation/Thumbs.db Binary files differdeleted file mode 100644 index 1626e26..0000000 --- a/buch/papers/reedsolomon/RS presentation/Thumbs.db +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig1.pdf b/buch/papers/reedsolomon/RS presentation/images/fig1.pdf Binary files differindex 5cff7fe..abde60c 100644 --- a/buch/papers/reedsolomon/RS presentation/images/fig1.pdf +++ b/buch/papers/reedsolomon/RS presentation/images/fig1.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig1.pdf_tex b/buch/papers/reedsolomon/RS presentation/images/fig1.pdf_tex deleted file mode 100644 index cb323ae..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig1.pdf_tex +++ /dev/null @@ -1,81 +0,0 @@ -%% Creator: Inkscape 1.0.2 (e86c870879, 2021-01-15, custom), www.inkscape.org -%% PDF/EPS/PS + LaTeX output extension by Johan Engelen, 2010 -%% Accompanies image file 'fig1.pdf' (pdf, eps, ps) -%% -%% To include the image in your LaTeX document, write -%% \input{<filename>.pdf_tex} -%% instead of -%% \includegraphics{<filename>.pdf} -%% To scale the image, write -%% \def\svgwidth{<desired width>} -%% \input{<filename>.pdf_tex} -%% instead of -%% \includegraphics[width=<desired width>]{<filename>.pdf} -%% -%% Images with a different path to the parent latex file can -%% be accessed with the `import' package (which may need to be -%% installed) using -%% \usepackage{import} -%% in the preamble, and then including the image with -%% \import{<path to file>}{<filename>.pdf_tex} -%% Alternatively, one can specify -%% \graphicspath{{<path to file>/}} -%% -%% For more information, please see info/svg-inkscape on CTAN: -%% http://tug.ctan.org/tex-archive/info/svg-inkscape -%% -\begingroup% - \makeatletter% - \providecommand\color[2][]{% - \errmessage{(Inkscape) Color is used for the text in Inkscape, but the package 'color.sty' is not loaded}% - \renewcommand\color[2][]{}% - }% - \providecommand\transparent[1]{% - \errmessage{(Inkscape) Transparency is used (non-zero) for the text in Inkscape, but the package 'transparent.sty' is not loaded}% - \renewcommand\transparent[1]{}% - }% - \providecommand\rotatebox[2]{#2}% - \newcommand*\fsize{\dimexpr\f@size pt\relax}% - \newcommand*\lineheight[1]{\fontsize{\fsize}{#1\fsize}\selectfont}% - \ifx\svgwidth\undefined% - \setlength{\unitlength}{420bp}% - \ifx\svgscale\undefined% - \relax% - \else% - \setlength{\unitlength}{\unitlength * \real{\svgscale}}% - \fi% - \else% - \setlength{\unitlength}{\svgwidth}% - \fi% - \global\let\svgwidth\undefined% - \global\let\svgscale\undefined% - \makeatother% - \begin{picture}(1,0.75)% - \lineheight{1}% - \setlength\tabcolsep{0pt}% - \put(0,0){\includegraphics[width=\unitlength,page=1]{fig1.pdf}}% - \put(0.19038536,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}10\end{tabular}}}}% - \put(0.27196429,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}20\end{tabular}}}}% - \put(0.35354321,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}30\end{tabular}}}}% - \put(0.43512214,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}40\end{tabular}}}}% - \put(0.51670107,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}50\end{tabular}}}}% - \put(0.59828,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}60\end{tabular}}}}% - \put(0.67985893,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}70\end{tabular}}}}% - \put(0.76143804,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}80\end{tabular}}}}% - \put(0.84301696,0.04761911){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}90\end{tabular}}}}% - \put(0,0){\includegraphics[width=\unitlength,page=2]{fig1.pdf}}% - \put(0.10654768,0.07232143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}0\end{tabular}}}}% - \put(0.10654768,0.13357143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}1\end{tabular}}}}% - \put(0.10654768,0.19482143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}2\end{tabular}}}}% - \put(0.10654768,0.25607143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}3\end{tabular}}}}% - \put(0.10654768,0.31732143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}4\end{tabular}}}}% - \put(0.10654768,0.37857143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}5\end{tabular}}}}% - \put(0.10654768,0.43982143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}6\end{tabular}}}}% - \put(0.10654768,0.50107143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}7\end{tabular}}}}% - \put(0.10654768,0.56232143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}8\end{tabular}}}}% - \put(0.10654768,0.62357143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}9\end{tabular}}}}% - \put(0.09404768,0.68482143){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}10\end{tabular}}}}% - \put(0.47857196,0.70669643){\makebox(0,0)[lt]{\lineheight{1.25}\smash{\begin{tabular}[t]{l}\textbf{Signal}\end{tabular}}}}% - \put(0,0){\includegraphics[width=\unitlength,page=3]{fig1.pdf}}% - \end{picture}% -\endgroup% diff --git a/buch/papers/reedsolomon/RS presentation/images/fig1.png b/buch/papers/reedsolomon/RS presentation/images/fig1.png Binary files differdeleted file mode 100644 index a0395d7..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig1.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig2.pdf b/buch/papers/reedsolomon/RS presentation/images/fig2.pdf Binary files differnew file mode 100644 index 0000000..8281ce7 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/fig2.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig2.png b/buch/papers/reedsolomon/RS presentation/images/fig2.png Binary files differdeleted file mode 100644 index bd8faa0..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig2.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig3.pdf b/buch/papers/reedsolomon/RS presentation/images/fig3.pdf Binary files differnew file mode 100644 index 0000000..7d29d1e --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/fig3.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig3.png b/buch/papers/reedsolomon/RS presentation/images/fig3.png Binary files differdeleted file mode 100644 index e14358d..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig3.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig4.pdf b/buch/papers/reedsolomon/RS presentation/images/fig4.pdf Binary files differnew file mode 100644 index 0000000..394a673 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/fig4.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig4.png b/buch/papers/reedsolomon/RS presentation/images/fig4.png Binary files differdeleted file mode 100644 index 1821c3b..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig4.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig5.pdf b/buch/papers/reedsolomon/RS presentation/images/fig5.pdf Binary files differnew file mode 100644 index 0000000..37416a9 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/fig5.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig5.png b/buch/papers/reedsolomon/RS presentation/images/fig5.png Binary files differdeleted file mode 100644 index e4abbaa..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig5.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig6.pdf b/buch/papers/reedsolomon/RS presentation/images/fig6.pdf Binary files differnew file mode 100644 index 0000000..61cbc01 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/fig6.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig6.png b/buch/papers/reedsolomon/RS presentation/images/fig6.png Binary files differdeleted file mode 100644 index 5447949..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig6.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/fig7.pdf b/buch/papers/reedsolomon/RS presentation/images/fig7.pdf Binary files differnew file mode 100644 index 0000000..7397ffe --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/fig7.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/fig7.png b/buch/papers/reedsolomon/RS presentation/images/fig7.png Binary files differdeleted file mode 100644 index a850402..0000000 --- a/buch/papers/reedsolomon/RS presentation/images/fig7.png +++ /dev/null diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom1.aux b/buch/papers/reedsolomon/RS presentation/images/polynom1.aux new file mode 100644 index 0000000..f23e546 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.aux @@ -0,0 +1 @@ +\relax diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom1.log b/buch/papers/reedsolomon/RS presentation/images/polynom1.log new file mode 100644 index 0000000..183eaea --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.log @@ -0,0 +1,747 @@ +This is XeTeX, Version 3.14159265-2.6-0.999991 (TeX Live 2019/W32TeX) (preloaded format=xelatex 2019.10.25) 21 APR 2021 12:27 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**polynom1.tex +(./polynom1.tex +LaTeX2e <2019-10-01> patch level 1 +(c:/texlive/2019/texmf-dist/tex/latex/standalone/standalone.cls +Document Class: standalone 2018/03/26 v1.3a Class to compile TeX sub-files stan +dalone +(c:/texlive/2019/texmf-dist/tex/latex/tools/shellesc.sty +Package: shellesc 2016/06/07 v0.02b unified shell escape interface for LaTeX +Package shellesc Info: Restricted shell escape enabled on input line 72. +) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifluatex.sty +Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) +Package ifluatex Info: LuaTeX not detected. +) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifpdf.sty +Package: ifpdf 2018/09/07 v3.3 Provides the ifpdf switch +) +(c:/texlive/2019/texmf-dist/tex/generic/ifxetex/ifxetex.sty +Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional +) +(c:/texlive/2019/texmf-dist/tex/latex/xkeyval/xkeyval.sty +Package: xkeyval 2014/12/03 v2.7a package option processing (HA) + +(c:/texlive/2019/texmf-dist/tex/generic/xkeyval/xkeyval.tex +(c:/texlive/2019/texmf-dist/tex/generic/xkeyval/xkvutils.tex +\XKV@toks=\toks14 +\XKV@tempa@toks=\toks15 + +(c:/texlive/2019/texmf-dist/tex/generic/xkeyval/keyval.tex)) +\XKV@depth=\count80 +File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA) +)) +\sa@internal=\count81 +\c@sapage=\count82 + +(c:/texlive/2019/texmf-dist/tex/latex/standalone/standalone.cfg +File: standalone.cfg 2018/03/26 v1.3a Default configuration file for 'standalon +e' class +) +(c:/texlive/2019/texmf-dist/tex/latex/base/article.cls +Document Class: article 2019/08/27 v1.4j Standard LaTeX document class +(c:/texlive/2019/texmf-dist/tex/latex/base/size10.clo +File: size10.clo 2019/08/27 v1.4j Standard LaTeX file (size option) +) +\c@part=\count83 +\c@section=\count84 +\c@subsection=\count85 +\c@subsubsection=\count86 +\c@paragraph=\count87 +\c@subparagraph=\count88 +\c@figure=\count89 +\c@table=\count90 +\abovecaptionskip=\skip41 +\belowcaptionskip=\skip42 +\bibindent=\dimen102 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +\pgfutil@everybye=\toks16 +\pgfutil@tempdima=\dimen103 +\pgfutil@tempdimb=\dimen104 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex) +) (c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +\pgfutil@abb=\box27 + +(c:/texlive/2019/texmf-dist/tex/latex/ms/everyshi.sty +Package: everyshi 2001/05/15 v3.00 EveryShipout Package (MS) +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/pgf.revision.tex) +Package: pgfrcs 2019/08/03 v3.1.4b (3.1.4b) +)) +Package: pgf 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +(c:/texlive/2019/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR) + +(c:/texlive/2019/texmf-dist/tex/latex/graphics/graphics.sty +Package: graphics 2019/10/08 v1.3c Standard LaTeX Graphics (DPC,SPQR) + +(c:/texlive/2019/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +) +(c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: xetex.def on input line 105. + +(c:/texlive/2019/texmf-dist/tex/latex/graphics-def/xetex.def +File: xetex.def 2017/06/24 v5.0h Graphics/color driver for xetex +)) +\Gin@req@height=\dimen105 +\Gin@req@width=\dimen106 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +Package: pgfsys 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +\pgfkeys@pathtoks=\toks17 +\pgfkeys@temptoks=\toks18 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex +\pgfkeys@tmptoks=\toks19 +)) +\pgf@x=\dimen107 +\pgf@y=\dimen108 +\pgf@xa=\dimen109 +\pgf@ya=\dimen110 +\pgf@xb=\dimen111 +\pgf@yb=\dimen112 +\pgf@xc=\dimen113 +\pgf@yc=\dimen114 +\pgf@xd=\dimen115 +\pgf@yd=\dimen116 +\w@pgf@writea=\write3 +\r@pgf@reada=\read1 +\c@pgf@counta=\count91 +\c@pgf@countb=\count92 +\c@pgf@countc=\count93 +\c@pgf@countd=\count94 +\t@pgf@toka=\toks20 +\t@pgf@tokb=\toks21 +\t@pgf@tokc=\toks22 +\pgf@sys@id@count=\count95 + (c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +File: pgf.cfg 2019/08/03 v3.1.4b (3.1.4b) +) +Driver file for pgf: pgfsys-xetex.def + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def +File: pgfsys-xetex.def 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def +File: pgfsys-dvipdfmx.def 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +File: pgfsys-common-pdf.def 2019/08/03 v3.1.4b (3.1.4b) +) +\pgfsys@objnum=\count96 +))) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +File: pgfsyssoftpath.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfsyssoftpath@smallbuffer@items=\count97 +\pgfsyssoftpath@bigbuffer@items=\count98 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +File: pgfsysprotocol.code.tex 2019/08/03 v3.1.4b (3.1.4b) +)) (c:/texlive/2019/texmf-dist/tex/latex/xcolor/xcolor.sty +Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) + +(c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/color.cfg +File: color.cfg 2016/01/02 v1.6 sample color configuration +) +Package xcolor Info: Driver file: xetex.def on input line 225. +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. +Package xcolor Info: Model `RGB' extended on input line 1364. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +Package: pgfcore 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +\pgfmath@dimen=\dimen117 +\pgfmath@count=\count99 +\pgfmath@box=\box28 +\pgfmath@toks=\toks23 +\pgfmath@stack@operand=\toks24 +\pgfmath@stack@operation=\toks25 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.te +x) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric +.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.t +ex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.co +de.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.te +x) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithm +etics.code.tex))) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +\c@pgfmathroundto@lastzeros=\count100 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +File: pgfcorepoints.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@picminx=\dimen118 +\pgf@picmaxx=\dimen119 +\pgf@picminy=\dimen120 +\pgf@picmaxy=\dimen121 +\pgf@pathminx=\dimen122 +\pgf@pathmaxx=\dimen123 +\pgf@pathminy=\dimen124 +\pgf@pathmaxy=\dimen125 +\pgf@xx=\dimen126 +\pgf@xy=\dimen127 +\pgf@yx=\dimen128 +\pgf@yy=\dimen129 +\pgf@zx=\dimen130 +\pgf@zy=\dimen131 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.cod +e.tex +File: pgfcorepathconstruct.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@path@lastx=\dimen132 +\pgf@path@lasty=\dimen133 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.te +x +File: pgfcorepathusage.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@shorten@end@additional=\dimen134 +\pgf@shorten@start@additional=\dimen135 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +File: pgfcorescopes.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfpic=\box29 +\pgf@hbox=\box30 +\pgf@layerbox@main=\box31 +\pgf@picture@serial@count=\count101 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code +.tex +File: pgfcoregraphicstate.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgflinewidth=\dimen136 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.c +ode.tex +File: pgfcoretransformations.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@pt@x=\dimen137 +\pgf@pt@y=\dimen138 +\pgf@pt@temp=\dimen139 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +File: pgfcorequick.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +File: pgfcoreobjects.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.co +de.tex +File: pgfcorepathprocessing.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +File: pgfcorearrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfarrowsep=\dimen140 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +File: pgfcoreshade.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@max=\dimen141 +\pgf@sys@shading@range@num=\count102 +\pgf@shadingcount=\count103 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +File: pgfcoreimage.code.tex 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +File: pgfcoreexternal.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfexternal@startupbox=\box32 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +File: pgfcorelayers.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code +.tex +File: pgfcoretransparency.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +File: pgfcorepatterns.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) (c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +File: pgfcorerdf.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) (c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.te +x +File: pgfmoduleshapes.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfnodeparttextbox=\box33 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +File: pgfmoduleplot.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.st +y +Package: pgfcomp-version-0-65 2019/08/03 v3.1.4b (3.1.4b) +\pgf@nodesepstart=\dimen142 +\pgf@nodesepend=\dimen143 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.st +y +Package: pgfcomp-version-1-18 2019/08/03 v3.1.4b (3.1.4b) +)) (c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex)) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/math/pgfmath.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +Package: pgffor 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) +\pgffor@iter=\dimen144 +\pgffor@skip=\dimen145 +\pgffor@stack=\toks26 +\pgffor@toks=\toks27 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +Package: tikz 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.co +de.tex +File: pgflibraryplothandlers.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@plot@mark@count=\count104 +\pgfplotmarksize=\dimen146 +) +\tikz@lastx=\dimen147 +\tikz@lasty=\dimen148 +\tikz@lastxsaved=\dimen149 +\tikz@lastysaved=\dimen150 +\tikz@lastmovetox=\dimen151 +\tikz@lastmovetoy=\dimen152 +\tikzleveldistance=\dimen153 +\tikzsiblingdistance=\dimen154 +\tikz@figbox=\box34 +\tikz@figbox@bg=\box35 +\tikz@tempbox=\box36 +\tikz@tempbox@bg=\box37 +\tikztreelevel=\count105 +\tikznumberofchildren=\count106 +\tikznumberofcurrentchild=\count107 +\tikz@fig@count=\count108 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +File: pgfmodulematrix.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfmatrixcurrentrow=\count109 +\pgfmatrixcurrentcolumn=\count110 +\pgf@matrix@numberofcolumns=\count111 +) +\tikz@expandcount=\count112 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarytopaths.code.tex +File: tikzlibrarytopaths.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) +\sa@box=\box38 +) +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2019/04/01 v2.17c AMS math features +\@mathmargin=\skip43 + +For additional information on amsmath, use the `?' option. +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2000/06/29 v2.01 AMS text + +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 generic functions +\@emptytoks=\toks28 +\ex@=\dimen155 +)) +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d Bold Symbols +\pmbraise@=\dimen156 +) +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 2016/03/08 v2.02 operator names +) +\inf@bad=\count113 +LaTeX Info: Redefining \frac on input line 227. +\uproot@=\count114 +\leftroot@=\count115 +LaTeX Info: Redefining \overline on input line 389. +\classnum@=\count116 +\DOTSCASE@=\count117 +LaTeX Info: Redefining \ldots on input line 486. +LaTeX Info: Redefining \dots on input line 489. +LaTeX Info: Redefining \cdots on input line 610. +\Mathstrutbox@=\box39 +\strutbox@=\box40 +\big@size=\dimen157 +LaTeX Font Info: Redeclaring font encoding OML on input line 733. +LaTeX Font Info: Redeclaring font encoding OMS on input line 734. +\macc@depth=\count118 +\c@MaxMatrixCols=\count119 +\dotsspace@=\muskip10 +\c@parentequation=\count120 +\dspbrk@lvl=\count121 +\tag@help=\toks29 +\row@=\count122 +\column@=\count123 +\maxfields@=\count124 +\andhelp@=\toks30 +\eqnshift@=\dimen158 +\alignsep@=\dimen159 +\tagshift@=\dimen160 +\tagwidth@=\dimen161 +\totwidth@=\dimen162 +\lineht@=\dimen163 +\@envbody=\toks31 +\multlinegap=\skip44 +\multlinetaggap=\skip45 +\mathdisplay@stack=\toks32 +LaTeX Info: Redefining \[ on input line 2855. +LaTeX Info: Redefining \] on input line 2856. +) +(c:/texlive/2019/texmf-dist/tex/latex/psnfss/times.sty +Package: times 2005/04/12 PSNFSS-v9.2a (SPQR) +) +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/txfonts.sty +Package: txfonts 2008/01/22 v3.2.1 +LaTeX Font Info: Redeclaring symbol font `operators' on input line 21. +LaTeX Font Info: Overwriting symbol font `operators' in version `normal' +(Font) OT1/cmr/m/n --> OT1/txr/m/n on input line 21. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) OT1/cmr/bx/n --> OT1/txr/m/n on input line 21. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) OT1/txr/m/n --> OT1/txr/bx/n on input line 22. +\symitalic=\mathgroup4 +LaTeX Font Info: Overwriting symbol font `italic' in version `bold' +(Font) OT1/txr/m/it --> OT1/txr/bx/it on input line 26. +LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 29. +LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' +(Font) OT1/cmr/bx/n --> OT1/txr/bx/n on input line 29. +LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' +(Font) OT1/cmr/bx/n --> OT1/txr/bx/n on input line 29. +LaTeX Font Info: Redeclaring math alphabet \mathit on input line 30. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' +(Font) OT1/cmr/m/it --> OT1/txr/m/it on input line 30. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' +(Font) OT1/cmr/bx/it --> OT1/txr/m/it on input line 30. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' +(Font) OT1/txr/m/it --> OT1/txr/bx/it on input line 31. +LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 40. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' +(Font) OT1/cmss/m/n --> OT1/txss/m/n on input line 40. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' +(Font) OT1/cmss/bx/n --> OT1/txss/m/n on input line 40. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' +(Font) OT1/txss/m/n --> OT1/txss/b/n on input line 41. +LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 50. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' +(Font) OT1/cmtt/m/n --> OT1/txtt/m/n on input line 50. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' +(Font) OT1/cmtt/m/n --> OT1/txtt/m/n on input line 50. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' +(Font) OT1/txtt/m/n --> OT1/txtt/b/n on input line 51. +LaTeX Font Info: Redeclaring symbol font `letters' on input line 58. +LaTeX Font Info: Overwriting symbol font `letters' in version `normal' +(Font) OML/cmm/m/it --> OML/txmi/m/it on input line 58. +LaTeX Font Info: Overwriting symbol font `letters' in version `bold' +(Font) OML/cmm/b/it --> OML/txmi/m/it on input line 58. +LaTeX Font Info: Overwriting symbol font `letters' in version `bold' +(Font) OML/txmi/m/it --> OML/txmi/bx/it on input line 59. +\symlettersA=\mathgroup5 +LaTeX Font Info: Overwriting symbol font `lettersA' in version `bold' +(Font) U/txmia/m/it --> U/txmia/bx/it on input line 67. +LaTeX Font Info: Redeclaring symbol font `symbols' on input line 77. +LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' +(Font) OMS/cmsy/m/n --> OMS/txsy/m/n on input line 77. +LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' +(Font) OMS/cmsy/b/n --> OMS/txsy/m/n on input line 77. +LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' +(Font) OMS/txsy/m/n --> OMS/txsy/bx/n on input line 78. +\symAMSa=\mathgroup6 +LaTeX Font Info: Overwriting symbol font `AMSa' in version `bold' +(Font) U/txsya/m/n --> U/txsya/bx/n on input line 94. +\symAMSb=\mathgroup7 +LaTeX Font Info: Overwriting symbol font `AMSb' in version `bold' +(Font) U/txsyb/m/n --> U/txsyb/bx/n on input line 103. +\symsymbolsC=\mathgroup8 +LaTeX Font Info: Overwriting symbol font `symbolsC' in version `bold' +(Font) U/txsyc/m/n --> U/txsyc/bx/n on input line 113. +LaTeX Font Info: Redeclaring symbol font `largesymbols' on input line 120. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' +(Font) OMX/cmex/m/n --> OMX/txex/m/n on input line 120. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' +(Font) OMX/cmex/m/n --> OMX/txex/m/n on input line 120. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' +(Font) OMX/txex/m/n --> OMX/txex/bx/n on input line 121. +\symlargesymbolsA=\mathgroup9 +LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `bold' +(Font) U/txexa/m/n --> U/txexa/bx/n on input line 129. +LaTeX Font Info: Redeclaring math symbol \mathsterling on input line 164. +LaTeX Font Info: Redeclaring math symbol \hbar on input line 591. +LaTeX Info: Redefining \not on input line 1043. +) +(c:/texlive/2019/texmf-dist/tex/latex/pgfplots/pgfplots.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.revision.tex) +Package: pgfplots 2018/03/28 v1.16 Data Visualization (1.16) + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotscore.code.tex +\t@pgfplots@toka=\toks33 +\t@pgfplots@tokb=\toks34 +\t@pgfplots@tokc=\toks35 +\pgfplots@tmpa=\dimen164 +\c@pgfplots@coordindex=\count125 +\c@pgfplots@scanlineindex=\count126 + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgfplotssysgeneric.code.te +x)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/libs/pgfplotslibrary.code.tex) + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfs +upp_loader.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryfpu.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsliststru +cture.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsliststru +ctureext.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsarray.co +de.tex +\c@pgfplotsarray@tmp=\count127 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsmatrix.c +ode.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/numtable/pgfplotstableshared.c +ode.tex +\c@pgfplotstable@counta=\count128 +\t@pgfplotstable@a=\toks36 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsdeque.co +de.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.data.code. +tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.verb.code.te +x) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/libs/pgflibrarypgfplots.surfsh +ading.code.tex +\c@pgfplotslibrarysurf@no=\count129 + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgflibrarypgfplots.surfsha +ding.pgfsys-xetex.def +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgflibrarypgfplots.surfsha +ding.pgfsys-dvipdfmx.def +\c@pgfplotslibrarysurf@streamlen=\count130 +)))) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotscolormap.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotscolor.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsstackedplots.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsplothandlers.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplothandler.code.t +ex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplotimage.code.tex +))) (c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.scaling.code.tex) + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotscoordprocessing.code.t +ex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.errorbars.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.markers.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsticks.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.paths.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarydecorations.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduledecorations.code.t +ex +\pgfdecoratedcompleteddistance=\dimen165 +\pgfdecoratedremainingdistance=\dimen166 +\pgfdecoratedinputsegmentcompleteddistance=\dimen167 +\pgfdecoratedinputsegmentremainingdistance=\dimen168 +\pgf@decorate@distancetomove=\dimen169 +\pgf@decorate@repeatstate=\count131 +\pgfdecorationsegmentamplitude=\dimen170 +\pgfdecorationsegmentlength=\dimen171 +) +\tikz@lib@dec@box=\box41 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarydecorations.pathmorphing.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydec +orations.pathmorphing.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarydecorations.pathreplacing.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydec +orations.pathreplacing.code.tex)) +\pgfplots@numplots=\count132 +\pgfplots@xmin@reg=\dimen172 +\pgfplots@xmax@reg=\dimen173 +\pgfplots@ymin@reg=\dimen174 +\pgfplots@ymax@reg=\dimen175 +\pgfplots@zmin@reg=\dimen176 +\pgfplots@zmax@reg=\dimen177 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryplotmarks.code.tex +File: tikzlibraryplotmarks.code.tex 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code. +tex +File: pgflibraryplotmarks.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) (c:/texlive/2019/texmf-dist/tex/latex/csvsimple/csvsimple.sty +Package: csvsimple 2019/04/09 version 1.21 LaTeX CSV file processing + +(c:/texlive/2019/texmf-dist/tex/latex/base/ifthen.sty +Package: ifthen 2014/09/29 v1.1c Standard LaTeX ifthen package (DPC) +) +(c:/texlive/2019/texmf-dist/tex/latex/etoolbox/etoolbox.sty +Package: etoolbox 2019/09/21 v2.5h e-TeX tools for LaTeX (JAW) +\etb@tempcnta=\count133 +) +\csv@file=\read2 +\c@csvinputline=\count134 +\c@csvrow=\count135 +\c@csvcol=\count136 +\csv@out=\write4 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryarrows.code.tex +File: tikzlibraryarrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex +File: pgflibraryarrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\arrowsize=\dimen178 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryintersections.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryintersections.c +ode.tex +\pgf@intersect@solutions=\count137 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarymath.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryfpu.code.tex) +\tikz@math@for@depth=\count138 +\tikz@math@dimen=\dimen179 +\tikz@math@toks=\toks37 +) (./polynom1.aux) +\openout1 = `polynom1.aux'. + +LaTeX Font Info: Checking defaults for OML/txmi/m/it on input line 11. +LaTeX Font Info: Trying to load font information for OML+txmi on input line +11. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/omltxmi.fd +File: omltxmi.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 11. +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 11. +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for OMS/txsy/m/n on input line 11. +LaTeX Font Info: Trying to load font information for OMS+txsy on input line +11. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/omstxsy.fd +File: omstxsy.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for TU/lmr/m/n on input line 11. +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for OMX/txex/m/n on input line 11. +LaTeX Font Info: Trying to load font information for OMX+txex on input line +11. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/omxtxex.fd +File: omxtxex.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for U/txexa/m/n on input line 11. +LaTeX Font Info: Trying to load font information for U+txexa on input line 1 +1. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxexa.fd +File: utxexa.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Trying to load font information for TU+txr on input line 11 +. +LaTeX Font Info: No file TUtxr.fd. on input line 11. + + +LaTeX Font Warning: Font shape `TU/txr/m/n' undefined +(Font) using `TU/lmr/m/n' instead on input line 11. + +ABD: EveryShipout initializing macros + +Package pgfplots Warning: running in backwards compatibility mode (unsuitable t +ick labels; missing features). Consider writing \pgfplotsset{compat=1.16} into +your preamble. + on input line 11. + +LaTeX Font Info: Trying to load font information for OT1+txr on input line 2 +6. +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/ot1txr.fd +File: ot1txr.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txmia on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxmia.fd +File: utxmia.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txsya on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsya.fd +File: utxsya.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txsyb on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsyb.fd +File: utxsyb.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txsyc on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsyc.fd +File: utxsyc.fd 2000/12/15 v3.1 +) [1 + +] (./polynom1.aux) + +LaTeX Font Warning: Some font shapes were not available, defaults substituted. + + ) +Here is how much of TeX's memory you used: + 25076 strings out of 492483 + 634297 string characters out of 6132858 + 794987 words of memory out of 5000000 + 29148 multiletter control sequences out of 15000+600000 + 13575 words of font info for 45 fonts, out of 8000000 for 9000 + 1348 hyphenation exceptions out of 8191 + 68i,6n,98p,840b,724s stack positions out of 5000i,500n,10000p,200000b,80000s + +Output written on polynom1.pdf (1 page). diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom1.pdf b/buch/papers/reedsolomon/RS presentation/images/polynom1.pdf Binary files differnew file mode 100644 index 0000000..1f632d8 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gz b/buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gz Binary files differnew file mode 100644 index 0000000..578f2a3 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gz diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom1.tex b/buch/papers/reedsolomon/RS presentation/images/polynom1.tex new file mode 100644 index 0000000..db83daa --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.tex @@ -0,0 +1,59 @@ +% polynome1 +%------------------- +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\newcommand{\teiler}{40} +\begin{document} + %Übertragen von den Zahlen + %\textcolor{blue}{2}, \textcolor{blue}{1}, \textcolor{blue}{5} + %als $ p(x) = \textcolor{blue}{2}x^2 + \textcolor{blue}{1}x + \textcolor{blue}{5} $.\newline + %Versende $ (p(1),p(2),...,p(7)) = (\textcolor{green}{8}, + % \textcolor{green}{15}, \textcolor{green}{26}, + % \textcolor{green}{ 41}, \textcolor{green}{60}, + % \textcolor{green}{83}, \textcolor{green}{110})$ + + +\begin{tikzpicture}[>=latex,thick] + +\draw[color=blue, line width=1.4pt] +plot[domain=0:8, samples=100] + ({\x},{(2*\x^2+1*\x+5)/\teiler}); +\draw[->] (-0.2,0) -- (8,0) coordinate[label={$x$}]; +\draw[->] (0,-0.2) -- (0,150/\teiler) coordinate[label={right:$p(x)$}]; +\def\punkt#1{ + \fill[color=green] #1 circle[radius=0.08]; + \draw #1 circle[radius=0.07]; +} +\punkt{(1,8/\teiler)} +\punkt{(2,15/\teiler)} +\punkt{(3,26/\teiler)} +\punkt{(4,41/\teiler)} +\punkt{(5,60/\teiler)} +\punkt{(6,83/\teiler)} +\punkt{(7,110/\teiler)} +%\draw[color=gray,line width=1pt,dashed] +%plot[domain=0.5:7, samples=100] +%({\x},{(0.1958*\x^2-1.2875*\x+3.0417)}); +%\def\erpunkt#1{ +% \fill[color=red] #1 circle[radius=0.08]; +% \draw #1 circle[radius=0.07]; +%} +%\erpunkt{(2,50/\teiler)} +%\erpunkt{(3,0.9414)} +%\punkt{(4,41/\teiler)} +%\punkt{(5,60/\teiler)} + +\draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}]; +\draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}]; + + + + +\end{tikzpicture} +\end{document} + diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom2.aux b/buch/papers/reedsolomon/RS presentation/images/polynom2.aux new file mode 100644 index 0000000..f23e546 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.aux @@ -0,0 +1 @@ +\relax diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom2.log b/buch/papers/reedsolomon/RS presentation/images/polynom2.log new file mode 100644 index 0000000..169203e --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.log @@ -0,0 +1,747 @@ +This is XeTeX, Version 3.14159265-2.6-0.999991 (TeX Live 2019/W32TeX) (preloaded format=xelatex 2019.10.25) 21 APR 2021 12:28 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**polynom2.tex +(./polynom2.tex +LaTeX2e <2019-10-01> patch level 1 +(c:/texlive/2019/texmf-dist/tex/latex/standalone/standalone.cls +Document Class: standalone 2018/03/26 v1.3a Class to compile TeX sub-files stan +dalone +(c:/texlive/2019/texmf-dist/tex/latex/tools/shellesc.sty +Package: shellesc 2016/06/07 v0.02b unified shell escape interface for LaTeX +Package shellesc Info: Restricted shell escape enabled on input line 72. +) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifluatex.sty +Package: ifluatex 2016/05/16 v1.4 Provides the ifluatex switch (HO) +Package ifluatex Info: LuaTeX not detected. +) +(c:/texlive/2019/texmf-dist/tex/generic/oberdiek/ifpdf.sty +Package: ifpdf 2018/09/07 v3.3 Provides the ifpdf switch +) +(c:/texlive/2019/texmf-dist/tex/generic/ifxetex/ifxetex.sty +Package: ifxetex 2010/09/12 v0.6 Provides ifxetex conditional +) +(c:/texlive/2019/texmf-dist/tex/latex/xkeyval/xkeyval.sty +Package: xkeyval 2014/12/03 v2.7a package option processing (HA) + +(c:/texlive/2019/texmf-dist/tex/generic/xkeyval/xkeyval.tex +(c:/texlive/2019/texmf-dist/tex/generic/xkeyval/xkvutils.tex +\XKV@toks=\toks14 +\XKV@tempa@toks=\toks15 + +(c:/texlive/2019/texmf-dist/tex/generic/xkeyval/keyval.tex)) +\XKV@depth=\count80 +File: xkeyval.tex 2014/12/03 v2.7a key=value parser (HA) +)) +\sa@internal=\count81 +\c@sapage=\count82 + +(c:/texlive/2019/texmf-dist/tex/latex/standalone/standalone.cfg +File: standalone.cfg 2018/03/26 v1.3a Default configuration file for 'standalon +e' class +) +(c:/texlive/2019/texmf-dist/tex/latex/base/article.cls +Document Class: article 2019/08/27 v1.4j Standard LaTeX document class +(c:/texlive/2019/texmf-dist/tex/latex/base/size10.clo +File: size10.clo 2019/08/27 v1.4j Standard LaTeX file (size option) +) +\c@part=\count83 +\c@section=\count84 +\c@subsection=\count85 +\c@subsubsection=\count86 +\c@paragraph=\count87 +\c@subparagraph=\count88 +\c@figure=\count89 +\c@table=\count90 +\abovecaptionskip=\skip41 +\belowcaptionskip=\skip42 +\bibindent=\dimen102 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex +\pgfutil@everybye=\toks16 +\pgfutil@tempdima=\dimen103 +\pgfutil@tempdimb=\dimen104 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex) +) (c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def +\pgfutil@abb=\box27 + +(c:/texlive/2019/texmf-dist/tex/latex/ms/everyshi.sty +Package: everyshi 2001/05/15 v3.00 EveryShipout Package (MS) +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/pgf.revision.tex) +Package: pgfrcs 2019/08/03 v3.1.4b (3.1.4b) +)) +Package: pgf 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty +(c:/texlive/2019/texmf-dist/tex/latex/graphics/graphicx.sty +Package: graphicx 2017/06/01 v1.1a Enhanced LaTeX Graphics (DPC,SPQR) + +(c:/texlive/2019/texmf-dist/tex/latex/graphics/graphics.sty +Package: graphics 2019/10/08 v1.3c Standard LaTeX Graphics (DPC,SPQR) + +(c:/texlive/2019/texmf-dist/tex/latex/graphics/trig.sty +Package: trig 2016/01/03 v1.10 sin cos tan (DPC) +) +(c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/graphics.cfg +File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration +) +Package graphics Info: Driver file: xetex.def on input line 105. + +(c:/texlive/2019/texmf-dist/tex/latex/graphics-def/xetex.def +File: xetex.def 2017/06/24 v5.0h Graphics/color driver for xetex +)) +\Gin@req@height=\dimen105 +\Gin@req@width=\dimen106 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex +Package: pgfsys 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex +\pgfkeys@pathtoks=\toks17 +\pgfkeys@temptoks=\toks18 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex +\pgfkeys@tmptoks=\toks19 +)) +\pgf@x=\dimen107 +\pgf@y=\dimen108 +\pgf@xa=\dimen109 +\pgf@ya=\dimen110 +\pgf@xb=\dimen111 +\pgf@yb=\dimen112 +\pgf@xc=\dimen113 +\pgf@yc=\dimen114 +\pgf@xd=\dimen115 +\pgf@yd=\dimen116 +\w@pgf@writea=\write3 +\r@pgf@reada=\read1 +\c@pgf@counta=\count91 +\c@pgf@countb=\count92 +\c@pgf@countc=\count93 +\c@pgf@countd=\count94 +\t@pgf@toka=\toks20 +\t@pgf@tokb=\toks21 +\t@pgf@tokc=\toks22 +\pgf@sys@id@count=\count95 + (c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg +File: pgf.cfg 2019/08/03 v3.1.4b (3.1.4b) +) +Driver file for pgf: pgfsys-xetex.def + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def +File: pgfsys-xetex.def 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def +File: pgfsys-dvipdfmx.def 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def +File: pgfsys-common-pdf.def 2019/08/03 v3.1.4b (3.1.4b) +) +\pgfsys@objnum=\count96 +))) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex +File: pgfsyssoftpath.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfsyssoftpath@smallbuffer@items=\count97 +\pgfsyssoftpath@bigbuffer@items=\count98 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex +File: pgfsysprotocol.code.tex 2019/08/03 v3.1.4b (3.1.4b) +)) (c:/texlive/2019/texmf-dist/tex/latex/xcolor/xcolor.sty +Package: xcolor 2016/05/11 v2.12 LaTeX color extensions (UK) + +(c:/texlive/2019/texmf-dist/tex/latex/graphics-cfg/color.cfg +File: color.cfg 2016/01/02 v1.6 sample color configuration +) +Package xcolor Info: Driver file: xetex.def on input line 225. +Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1348. +Package xcolor Info: Model `RGB' extended on input line 1364. +Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1366. +Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1367. +Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1368. +Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1369. +Package xcolor Info: Model `Gray' substituted by `gray' on input line 1370. +Package xcolor Info: Model `wave' substituted by `hsb' on input line 1371. +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex +Package: pgfcore 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex +\pgfmath@dimen=\dimen117 +\pgfmath@count=\count99 +\pgfmath@box=\box28 +\pgfmath@toks=\toks23 +\pgfmath@stack@operand=\toks24 +\pgfmath@stack@operation=\toks25 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.te +x) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric +.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.t +ex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.co +de.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.te +x) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithm +etics.code.tex))) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex +\c@pgfmathroundto@lastzeros=\count100 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex +File: pgfcorepoints.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@picminx=\dimen118 +\pgf@picmaxx=\dimen119 +\pgf@picminy=\dimen120 +\pgf@picmaxy=\dimen121 +\pgf@pathminx=\dimen122 +\pgf@pathmaxx=\dimen123 +\pgf@pathminy=\dimen124 +\pgf@pathmaxy=\dimen125 +\pgf@xx=\dimen126 +\pgf@xy=\dimen127 +\pgf@yx=\dimen128 +\pgf@yy=\dimen129 +\pgf@zx=\dimen130 +\pgf@zy=\dimen131 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.cod +e.tex +File: pgfcorepathconstruct.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@path@lastx=\dimen132 +\pgf@path@lasty=\dimen133 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.te +x +File: pgfcorepathusage.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@shorten@end@additional=\dimen134 +\pgf@shorten@start@additional=\dimen135 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex +File: pgfcorescopes.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfpic=\box29 +\pgf@hbox=\box30 +\pgf@layerbox@main=\box31 +\pgf@picture@serial@count=\count101 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code +.tex +File: pgfcoregraphicstate.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgflinewidth=\dimen136 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.c +ode.tex +File: pgfcoretransformations.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@pt@x=\dimen137 +\pgf@pt@y=\dimen138 +\pgf@pt@temp=\dimen139 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex +File: pgfcorequick.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex +File: pgfcoreobjects.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.co +de.tex +File: pgfcorepathprocessing.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex +File: pgfcorearrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfarrowsep=\dimen140 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex +File: pgfcoreshade.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@max=\dimen141 +\pgf@sys@shading@range@num=\count102 +\pgf@shadingcount=\count103 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex +File: pgfcoreimage.code.tex 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex +File: pgfcoreexternal.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfexternal@startupbox=\box32 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex +File: pgfcorelayers.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code +.tex +File: pgfcoretransparency.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex +File: pgfcorepatterns.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) (c:/texlive/2019/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex +File: pgfcorerdf.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) (c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.te +x +File: pgfmoduleshapes.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfnodeparttextbox=\box33 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex +File: pgfmoduleplot.code.tex 2019/08/03 v3.1.4b (3.1.4b) +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.st +y +Package: pgfcomp-version-0-65 2019/08/03 v3.1.4b (3.1.4b) +\pgf@nodesepstart=\dimen142 +\pgf@nodesepend=\dimen143 +) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.st +y +Package: pgfcomp-version-1-18 2019/08/03 v3.1.4b (3.1.4b) +)) (c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgffor.sty +(c:/texlive/2019/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex)) +(c:/texlive/2019/texmf-dist/tex/latex/pgf/math/pgfmath.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex +Package: pgffor 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) +\pgffor@iter=\dimen144 +\pgffor@skip=\dimen145 +\pgffor@stack=\toks26 +\pgffor@toks=\toks27 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex +Package: tikz 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.co +de.tex +File: pgflibraryplothandlers.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgf@plot@mark@count=\count104 +\pgfplotmarksize=\dimen146 +) +\tikz@lastx=\dimen147 +\tikz@lasty=\dimen148 +\tikz@lastxsaved=\dimen149 +\tikz@lastysaved=\dimen150 +\tikz@lastmovetox=\dimen151 +\tikz@lastmovetoy=\dimen152 +\tikzleveldistance=\dimen153 +\tikzsiblingdistance=\dimen154 +\tikz@figbox=\box34 +\tikz@figbox@bg=\box35 +\tikz@tempbox=\box36 +\tikz@tempbox@bg=\box37 +\tikztreelevel=\count105 +\tikznumberofchildren=\count106 +\tikznumberofcurrentchild=\count107 +\tikz@fig@count=\count108 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex +File: pgfmodulematrix.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\pgfmatrixcurrentrow=\count109 +\pgfmatrixcurrentcolumn=\count110 +\pgf@matrix@numberofcolumns=\count111 +) +\tikz@expandcount=\count112 + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarytopaths.code.tex +File: tikzlibrarytopaths.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) +\sa@box=\box38 +) +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsmath.sty +Package: amsmath 2019/04/01 v2.17c AMS math features +\@mathmargin=\skip43 + +For additional information on amsmath, use the `?' option. +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amstext.sty +Package: amstext 2000/06/29 v2.01 AMS text + +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsgen.sty +File: amsgen.sty 1999/11/30 v2.0 generic functions +\@emptytoks=\toks28 +\ex@=\dimen155 +)) +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsbsy.sty +Package: amsbsy 1999/11/29 v1.2d Bold Symbols +\pmbraise@=\dimen156 +) +(c:/texlive/2019/texmf-dist/tex/latex/amsmath/amsopn.sty +Package: amsopn 2016/03/08 v2.02 operator names +) +\inf@bad=\count113 +LaTeX Info: Redefining \frac on input line 227. +\uproot@=\count114 +\leftroot@=\count115 +LaTeX Info: Redefining \overline on input line 389. +\classnum@=\count116 +\DOTSCASE@=\count117 +LaTeX Info: Redefining \ldots on input line 486. +LaTeX Info: Redefining \dots on input line 489. +LaTeX Info: Redefining \cdots on input line 610. +\Mathstrutbox@=\box39 +\strutbox@=\box40 +\big@size=\dimen157 +LaTeX Font Info: Redeclaring font encoding OML on input line 733. +LaTeX Font Info: Redeclaring font encoding OMS on input line 734. +\macc@depth=\count118 +\c@MaxMatrixCols=\count119 +\dotsspace@=\muskip10 +\c@parentequation=\count120 +\dspbrk@lvl=\count121 +\tag@help=\toks29 +\row@=\count122 +\column@=\count123 +\maxfields@=\count124 +\andhelp@=\toks30 +\eqnshift@=\dimen158 +\alignsep@=\dimen159 +\tagshift@=\dimen160 +\tagwidth@=\dimen161 +\totwidth@=\dimen162 +\lineht@=\dimen163 +\@envbody=\toks31 +\multlinegap=\skip44 +\multlinetaggap=\skip45 +\mathdisplay@stack=\toks32 +LaTeX Info: Redefining \[ on input line 2855. +LaTeX Info: Redefining \] on input line 2856. +) +(c:/texlive/2019/texmf-dist/tex/latex/psnfss/times.sty +Package: times 2005/04/12 PSNFSS-v9.2a (SPQR) +) +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/txfonts.sty +Package: txfonts 2008/01/22 v3.2.1 +LaTeX Font Info: Redeclaring symbol font `operators' on input line 21. +LaTeX Font Info: Overwriting symbol font `operators' in version `normal' +(Font) OT1/cmr/m/n --> OT1/txr/m/n on input line 21. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) OT1/cmr/bx/n --> OT1/txr/m/n on input line 21. +LaTeX Font Info: Overwriting symbol font `operators' in version `bold' +(Font) OT1/txr/m/n --> OT1/txr/bx/n on input line 22. +\symitalic=\mathgroup4 +LaTeX Font Info: Overwriting symbol font `italic' in version `bold' +(Font) OT1/txr/m/it --> OT1/txr/bx/it on input line 26. +LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 29. +LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal' +(Font) OT1/cmr/bx/n --> OT1/txr/bx/n on input line 29. +LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold' +(Font) OT1/cmr/bx/n --> OT1/txr/bx/n on input line 29. +LaTeX Font Info: Redeclaring math alphabet \mathit on input line 30. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal' +(Font) OT1/cmr/m/it --> OT1/txr/m/it on input line 30. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' +(Font) OT1/cmr/bx/it --> OT1/txr/m/it on input line 30. +LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold' +(Font) OT1/txr/m/it --> OT1/txr/bx/it on input line 31. +LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 40. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal' +(Font) OT1/cmss/m/n --> OT1/txss/m/n on input line 40. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' +(Font) OT1/cmss/bx/n --> OT1/txss/m/n on input line 40. +LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold' +(Font) OT1/txss/m/n --> OT1/txss/b/n on input line 41. +LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 50. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal' +(Font) OT1/cmtt/m/n --> OT1/txtt/m/n on input line 50. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' +(Font) OT1/cmtt/m/n --> OT1/txtt/m/n on input line 50. +LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold' +(Font) OT1/txtt/m/n --> OT1/txtt/b/n on input line 51. +LaTeX Font Info: Redeclaring symbol font `letters' on input line 58. +LaTeX Font Info: Overwriting symbol font `letters' in version `normal' +(Font) OML/cmm/m/it --> OML/txmi/m/it on input line 58. +LaTeX Font Info: Overwriting symbol font `letters' in version `bold' +(Font) OML/cmm/b/it --> OML/txmi/m/it on input line 58. +LaTeX Font Info: Overwriting symbol font `letters' in version `bold' +(Font) OML/txmi/m/it --> OML/txmi/bx/it on input line 59. +\symlettersA=\mathgroup5 +LaTeX Font Info: Overwriting symbol font `lettersA' in version `bold' +(Font) U/txmia/m/it --> U/txmia/bx/it on input line 67. +LaTeX Font Info: Redeclaring symbol font `symbols' on input line 77. +LaTeX Font Info: Overwriting symbol font `symbols' in version `normal' +(Font) OMS/cmsy/m/n --> OMS/txsy/m/n on input line 77. +LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' +(Font) OMS/cmsy/b/n --> OMS/txsy/m/n on input line 77. +LaTeX Font Info: Overwriting symbol font `symbols' in version `bold' +(Font) OMS/txsy/m/n --> OMS/txsy/bx/n on input line 78. +\symAMSa=\mathgroup6 +LaTeX Font Info: Overwriting symbol font `AMSa' in version `bold' +(Font) U/txsya/m/n --> U/txsya/bx/n on input line 94. +\symAMSb=\mathgroup7 +LaTeX Font Info: Overwriting symbol font `AMSb' in version `bold' +(Font) U/txsyb/m/n --> U/txsyb/bx/n on input line 103. +\symsymbolsC=\mathgroup8 +LaTeX Font Info: Overwriting symbol font `symbolsC' in version `bold' +(Font) U/txsyc/m/n --> U/txsyc/bx/n on input line 113. +LaTeX Font Info: Redeclaring symbol font `largesymbols' on input line 120. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `normal' +(Font) OMX/cmex/m/n --> OMX/txex/m/n on input line 120. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' +(Font) OMX/cmex/m/n --> OMX/txex/m/n on input line 120. +LaTeX Font Info: Overwriting symbol font `largesymbols' in version `bold' +(Font) OMX/txex/m/n --> OMX/txex/bx/n on input line 121. +\symlargesymbolsA=\mathgroup9 +LaTeX Font Info: Overwriting symbol font `largesymbolsA' in version `bold' +(Font) U/txexa/m/n --> U/txexa/bx/n on input line 129. +LaTeX Font Info: Redeclaring math symbol \mathsterling on input line 164. +LaTeX Font Info: Redeclaring math symbol \hbar on input line 591. +LaTeX Info: Redefining \not on input line 1043. +) +(c:/texlive/2019/texmf-dist/tex/latex/pgfplots/pgfplots.sty +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.revision.tex) +Package: pgfplots 2018/03/28 v1.16 Data Visualization (1.16) + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotscore.code.tex +\t@pgfplots@toka=\toks33 +\t@pgfplots@tokb=\toks34 +\t@pgfplots@tokc=\toks35 +\pgfplots@tmpa=\dimen164 +\c@pgfplots@coordindex=\count125 +\c@pgfplots@scanlineindex=\count126 + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgfplotssysgeneric.code.te +x)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/libs/pgfplotslibrary.code.tex) + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/oldpgfcompatib/pgfplotsoldpgfs +upp_loader.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryfpu.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsliststru +cture.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsliststru +ctureext.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsarray.co +de.tex +\c@pgfplotsarray@tmp=\count127 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsmatrix.c +ode.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/numtable/pgfplotstableshared.c +ode.tex +\c@pgfplotstable@counta=\count128 +\t@pgfplotstable@a=\toks36 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/liststructure/pgfplotsdeque.co +de.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsbinary.data.code. +tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotsutil.verb.code.te +x) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/libs/pgflibrarypgfplots.surfsh +ading.code.tex +\c@pgfplotslibrarysurf@no=\count129 + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgflibrarypgfplots.surfsha +ding.pgfsys-xetex.def +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/sys/pgflibrarypgfplots.surfsha +ding.pgfsys-dvipdfmx.def +\c@pgfplotslibrarysurf@streamlen=\count130 +)))) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotscolormap.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/util/pgfplotscolor.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsstackedplots.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsplothandlers.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplothandler.code.t +ex +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsmeshplotimage.code.tex +))) (c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.scaling.code.tex) + +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotscoordprocessing.code.t +ex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.errorbars.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.markers.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplotsticks.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgfplots/pgfplots.paths.code.tex) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarydecorations.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/modules/pgfmoduledecorations.code.t +ex +\pgfdecoratedcompleteddistance=\dimen165 +\pgfdecoratedremainingdistance=\dimen166 +\pgfdecoratedinputsegmentcompleteddistance=\dimen167 +\pgfdecoratedinputsegmentremainingdistance=\dimen168 +\pgf@decorate@distancetomove=\dimen169 +\pgf@decorate@repeatstate=\count131 +\pgfdecorationsegmentamplitude=\dimen170 +\pgfdecorationsegmentlength=\dimen171 +) +\tikz@lib@dec@box=\box41 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarydecorations.pathmorphing.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydec +orations.pathmorphing.code.tex)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarydecorations.pathreplacing.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/decorations/pgflibrarydec +orations.pathreplacing.code.tex)) +\pgfplots@numplots=\count132 +\pgfplots@xmin@reg=\dimen172 +\pgfplots@xmax@reg=\dimen173 +\pgfplots@ymin@reg=\dimen174 +\pgfplots@ymax@reg=\dimen175 +\pgfplots@zmin@reg=\dimen176 +\pgfplots@zmax@reg=\dimen177 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryplotmarks.code.tex +File: tikzlibraryplotmarks.code.tex 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryplotmarks.code. +tex +File: pgflibraryplotmarks.code.tex 2019/08/03 v3.1.4b (3.1.4b) +))) (c:/texlive/2019/texmf-dist/tex/latex/csvsimple/csvsimple.sty +Package: csvsimple 2019/04/09 version 1.21 LaTeX CSV file processing + +(c:/texlive/2019/texmf-dist/tex/latex/base/ifthen.sty +Package: ifthen 2014/09/29 v1.1c Standard LaTeX ifthen package (DPC) +) +(c:/texlive/2019/texmf-dist/tex/latex/etoolbox/etoolbox.sty +Package: etoolbox 2019/09/21 v2.5h e-TeX tools for LaTeX (JAW) +\etb@tempcnta=\count133 +) +\csv@file=\read2 +\c@csvinputline=\count134 +\c@csvrow=\count135 +\c@csvcol=\count136 +\csv@out=\write4 +) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryarrows.code.tex +File: tikzlibraryarrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) + +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryarrows.code.tex +File: pgflibraryarrows.code.tex 2019/08/03 v3.1.4b (3.1.4b) +\arrowsize=\dimen178 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryintersections.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/libraries/pgflibraryintersections.c +ode.tex +\pgf@intersect@solutions=\count137 +)) +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +brarymath.code.tex +(c:/texlive/2019/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzli +braryfpu.code.tex) +\tikz@math@for@depth=\count138 +\tikz@math@dimen=\dimen179 +\tikz@math@toks=\toks37 +) (./polynom2.aux) +\openout1 = `polynom2.aux'. + +LaTeX Font Info: Checking defaults for OML/txmi/m/it on input line 11. +LaTeX Font Info: Trying to load font information for OML+txmi on input line +11. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/omltxmi.fd +File: omltxmi.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 11. +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 11. +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for OMS/txsy/m/n on input line 11. +LaTeX Font Info: Trying to load font information for OMS+txsy on input line +11. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/omstxsy.fd +File: omstxsy.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for TU/lmr/m/n on input line 11. +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for OMX/txex/m/n on input line 11. +LaTeX Font Info: Trying to load font information for OMX+txex on input line +11. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/omxtxex.fd +File: omxtxex.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Checking defaults for U/txexa/m/n on input line 11. +LaTeX Font Info: Trying to load font information for U+txexa on input line 1 +1. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxexa.fd +File: utxexa.fd 2000/12/15 v3.1 +) +LaTeX Font Info: ... okay on input line 11. +LaTeX Font Info: Trying to load font information for TU+txr on input line 11 +. +LaTeX Font Info: No file TUtxr.fd. on input line 11. + + +LaTeX Font Warning: Font shape `TU/txr/m/n' undefined +(Font) using `TU/lmr/m/n' instead on input line 11. + +ABD: EveryShipout initializing macros + +Package pgfplots Warning: running in backwards compatibility mode (unsuitable t +ick labels; missing features). Consider writing \pgfplotsset{compat=1.16} into +your preamble. + on input line 11. + +LaTeX Font Info: Trying to load font information for OT1+txr on input line 2 +6. +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/ot1txr.fd +File: ot1txr.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txmia on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxmia.fd +File: utxmia.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txsya on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsya.fd +File: utxsya.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txsyb on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsyb.fd +File: utxsyb.fd 2000/12/15 v3.1 +) +LaTeX Font Info: Trying to load font information for U+txsyc on input line 2 +6. + +(c:/texlive/2019/texmf-dist/tex/latex/txfonts/utxsyc.fd +File: utxsyc.fd 2000/12/15 v3.1 +) [1 + +] (./polynom2.aux) + +LaTeX Font Warning: Some font shapes were not available, defaults substituted. + + ) +Here is how much of TeX's memory you used: + 25292 strings out of 492483 + 638772 string characters out of 6132858 + 794987 words of memory out of 5000000 + 29364 multiletter control sequences out of 15000+600000 + 13575 words of font info for 45 fonts, out of 8000000 for 9000 + 1348 hyphenation exceptions out of 8191 + 68i,6n,98p,840b,724s stack positions out of 5000i,500n,10000p,200000b,80000s + +Output written on polynom2.pdf (1 page). diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom2.pdf b/buch/papers/reedsolomon/RS presentation/images/polynom2.pdf Binary files differnew file mode 100644 index 0000000..05f4ba0 --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.pdf diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gz b/buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gz Binary files differnew file mode 100644 index 0000000..24859aa --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gz diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom2.tex b/buch/papers/reedsolomon/RS presentation/images/polynom2.tex new file mode 100644 index 0000000..aa792ce --- /dev/null +++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.tex @@ -0,0 +1,57 @@ +% polynome2 +%------------------- +\documentclass[tikz]{standalone} +\usepackage{amsmath} +\usepackage{times} +\usepackage{txfonts} +\usepackage{pgfplots} +\usepackage{csvsimple} +\usetikzlibrary{arrows,intersections,math} +\newcommand{\teiler}{40} +\begin{document} + %Übertragen von den Zahlen + %\textcolor{blue}{2}, \textcolor{blue}{1}, \textcolor{blue}{5} + %als $ p(x) = \textcolor{blue}{2}x^2 + \textcolor{blue}{1}x + \textcolor{blue}{5} $.\newline + %Versende $ (p(1),p(2),...,p(7)) = (\textcolor{green}{8}, + % \textcolor{green}{15}, \textcolor{green}{26}, + % \textcolor{green}{ 41}, \textcolor{green}{60}, + % \textcolor{green}{83}, \textcolor{green}{110})$ + + + \begin{tikzpicture}[>=latex,thick] + + \draw[color=blue, line width=1.4pt] + plot[domain=0:8, samples=100] + ({\x},{(2*\x^2+1*\x+5)/\teiler}); + \draw[->] (-0.2,0) -- (8,0) coordinate[label={$x$}]; + \draw[->] (0,-0.2) -- (0,150/\teiler) coordinate[label={right:$p(x)$}]; + \def\punkt#1{ + \fill[color=green] #1 circle[radius=0.08]; + \draw #1 circle[radius=0.07]; + } + \punkt{(1,8/\teiler)} + %\punkt{(2,15/\teiler)} + %\punkt{(3,26/\teiler)} + \punkt{(4,41/\teiler)} + \punkt{(5,60/\teiler)} + \punkt{(6,83/\teiler)} + \punkt{(7,110/\teiler)} + \draw[color=gray,line width=1pt,dashed] + plot[domain=0.5:7, samples=100] + ({\x},{(0.1958*\x^2-1.2875*\x+3.0417)}); + \def\erpunkt#1{ + \fill[color=red] #1 circle[radius=0.08]; + \draw #1 circle[radius=0.07]; + } + \erpunkt{(2,50/\teiler)} + \erpunkt{(3,0.9414)} + + + \draw(0,100/\teiler) -- (-0.1,100/\teiler) coordinate[label={left:$100$}]; + \draw(1,0) -- (1,-0.1) coordinate[label={below:$1$}]; + + + + + \end{tikzpicture} +\end{document} diff --git a/buch/papers/reedsolomon/experiments/f.m b/buch/papers/reedsolomon/experiments/f.m new file mode 100644 index 0000000..6bdc741 --- /dev/null +++ b/buch/papers/reedsolomon/experiments/f.m @@ -0,0 +1,61 @@ +# +# f.m -- Reed-Solomon-Visualisierung mit FFT +# +# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule +# +N = 64; +b = 32; +l = N + b; + +signal = zeros(l,1); +signal(1:N,1) = round(10 * rand(N,1)); +signal + +plot(abs(signal)); +xlim([1, l]); +title("Signal"); +pause() + +codiert = fft(signal) + +plot(abs(codiert)); +xlim([1, l]); +title("Codiert"); +pause() + +fehler = zeros(l,1); +fehler(21,1) = 2; +fehler(75,1) = 1; +fehler(7,1) = 2; + +plot(fehler); +xlim([1, l]); +title("Fehler"); +pause() + +empfangen = codiert + fehler; + +plot(abs(empfangen)); +xlim([1, l]); +title("Empfangen"); +pause() + +decodiert = ifft(empfangen) +plot(abs(decodiert)); +xlim([1, l]); +title("Decodiert"); +pause() + +syndrom = decodiert; +syndrom(1:N,1) = zeros(N,1) +plot(abs(syndrom)); +xlim([1, l]); +title("Syndrom"); +pause() + +locator = abs(fft(syndrom)) + +plot(locator); +xlim([1, l]); +title("Locator"); +pause() |
