aboutsummaryrefslogtreecommitdiffstats
path: root/buch/papers/reedsolomon/RS presentation/images
diff options
context:
space:
mode:
Diffstat (limited to '')
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig1.pdfbin3071 -> 11898 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig1.pdf_tex81
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig1.pngbin27373 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig2.pdfbin0 -> 13901 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig2.pngbin30489 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig3.pdfbin0 -> 13099 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig3.pngbin16007 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig4.pdfbin0 -> 14995 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig4.pngbin27548 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig5.pdfbin0 -> 13298 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig5.pngbin30167 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig6.pdfbin0 -> 13688 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig6.pngbin22604 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig7.pdfbin0 -> 13278 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/fig7.pngbin28677 -> 0 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom1.aux1
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom1.log747
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom1.pdfbin0 -> 5938 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gzbin0 -> 2399 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom1.tex59
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom2.aux1
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom2.log747
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom2.pdfbin0 -> 6995 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gzbin0 -> 2410 bytes
-rw-r--r--buch/papers/reedsolomon/RS presentation/images/polynom2.tex57
25 files changed, 1612 insertions, 81 deletions
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig1.pdf b/buch/papers/reedsolomon/RS presentation/images/fig1.pdf
index 5cff7fe..abde60c 100644
--- a/buch/papers/reedsolomon/RS presentation/images/fig1.pdf
+++ b/buch/papers/reedsolomon/RS presentation/images/fig1.pdf
Binary files differ
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
deleted file mode 100644
index a0395d7..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig1.png
+++ /dev/null
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig2.pdf b/buch/papers/reedsolomon/RS presentation/images/fig2.pdf
new file mode 100644
index 0000000..8281ce7
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/fig2.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig2.png b/buch/papers/reedsolomon/RS presentation/images/fig2.png
deleted file mode 100644
index bd8faa0..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig2.png
+++ /dev/null
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig3.pdf b/buch/papers/reedsolomon/RS presentation/images/fig3.pdf
new file mode 100644
index 0000000..7d29d1e
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/fig3.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig3.png b/buch/papers/reedsolomon/RS presentation/images/fig3.png
deleted file mode 100644
index e14358d..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig3.png
+++ /dev/null
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig4.pdf b/buch/papers/reedsolomon/RS presentation/images/fig4.pdf
new file mode 100644
index 0000000..394a673
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/fig4.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig4.png b/buch/papers/reedsolomon/RS presentation/images/fig4.png
deleted file mode 100644
index 1821c3b..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig4.png
+++ /dev/null
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig5.pdf b/buch/papers/reedsolomon/RS presentation/images/fig5.pdf
new file mode 100644
index 0000000..37416a9
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/fig5.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig5.png b/buch/papers/reedsolomon/RS presentation/images/fig5.png
deleted file mode 100644
index e4abbaa..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig5.png
+++ /dev/null
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig6.pdf b/buch/papers/reedsolomon/RS presentation/images/fig6.pdf
new file mode 100644
index 0000000..61cbc01
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/fig6.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig6.png b/buch/papers/reedsolomon/RS presentation/images/fig6.png
deleted file mode 100644
index 5447949..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig6.png
+++ /dev/null
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig7.pdf b/buch/papers/reedsolomon/RS presentation/images/fig7.pdf
new file mode 100644
index 0000000..7397ffe
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/fig7.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/fig7.png b/buch/papers/reedsolomon/RS presentation/images/fig7.png
deleted file mode 100644
index a850402..0000000
--- a/buch/papers/reedsolomon/RS presentation/images/fig7.png
+++ /dev/null
Binary files differ
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
new file mode 100644
index 0000000..1f632d8
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gz b/buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gz
new file mode 100644
index 0000000..578f2a3
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/polynom1.synctex.gz
Binary files differ
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
new file mode 100644
index 0000000..05f4ba0
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.pdf
Binary files differ
diff --git a/buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gz b/buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gz
new file mode 100644
index 0000000..24859aa
--- /dev/null
+++ b/buch/papers/reedsolomon/RS presentation/images/polynom2.synctex.gz
Binary files differ
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}