Francisco Coelho / zugzwang

Download as
Browse Code »

Commit 53b3b48cfde788f3f9debe40228b3edfc0f823ad

Authored by Francisco Coelho
1 parent 237d62bd
Exists in master

Started pre-paper, to arXiv, maybe?

Showing 23 changed files with 991 additions and 3057 deletions   Show diff stats
.gitignore 0 → 100644
  Diff comments   View file @53b3b48
@@ -0,0 +1,301 @@ @@ -0,0 +1,301 @@
  1 +## Core latex/pdflatex auxiliary files:
  2 +*.aux
  3 +*.lof
  4 +*.log
  5 +*.lot
  6 +*.fls
  7 +*.out
  8 +*.toc
  9 +*.fmt
  10 +*.fot
  11 +*.cb
  12 +*.cb2
  13 +.*.lb
  14 +
  15 +## Intermediate documents:
  16 +*.dvi
  17 +*.xdv
  18 +*-converted-to.*
  19 +# these rules might exclude image files for figures etc.
  20 +# *.ps
  21 +# *.eps
  22 +# *.pdf
  23 +
  24 +## Generated if empty string is given at "Please type another file name for output:"
  25 +.pdf
  26 +
  27 +## Bibliography auxiliary files (bibtex/biblatex/biber):
  28 +*.bbl
  29 +*.bcf
  30 +*.blg
  31 +*-blx.aux
  32 +*-blx.bib
  33 +*.run.xml
  34 +
  35 +## Build tool auxiliary files:
  36 +*.fdb_latexmk
  37 +*.synctex
  38 +*.synctex(busy)
  39 +*.synctex.gz
  40 +*.synctex.gz(busy)
  41 +*.pdfsync
  42 +
  43 +## Build tool directories for auxiliary files
  44 +# latexrun
  45 +latex.out/
  46 +
  47 +## Auxiliary and intermediate files from other packages:
  48 +# algorithms
  49 +*.alg
  50 +*.loa
  51 +
  52 +# achemso
  53 +acs-*.bib
  54 +
  55 +# amsthm
  56 +*.thm
  57 +
  58 +# beamer
  59 +*.nav
  60 +*.pre
  61 +*.snm
  62 +*.vrb
  63 +
  64 +# changes
  65 +*.soc
  66 +
  67 +# comment
  68 +*.cut
  69 +
  70 +# cprotect
  71 +*.cpt
  72 +
  73 +# elsarticle (documentclass of Elsevier journals)
  74 +*.spl
  75 +
  76 +# endnotes
  77 +*.ent
  78 +
  79 +# fixme
  80 +*.lox
  81 +
  82 +# feynmf/feynmp
  83 +*.mf
  84 +*.mp
  85 +*.t[1-9]
  86 +*.t[1-9][0-9]
  87 +*.tfm
  88 +
  89 +#(r)(e)ledmac/(r)(e)ledpar
  90 +*.end
  91 +*.?end
  92 +*.[1-9]
  93 +*.[1-9][0-9]
  94 +*.[1-9][0-9][0-9]
  95 +*.[1-9]R
  96 +*.[1-9][0-9]R
  97 +*.[1-9][0-9][0-9]R
  98 +*.eledsec[1-9]
  99 +*.eledsec[1-9]R
  100 +*.eledsec[1-9][0-9]
  101 +*.eledsec[1-9][0-9]R
  102 +*.eledsec[1-9][0-9][0-9]
  103 +*.eledsec[1-9][0-9][0-9]R
  104 +
  105 +# glossaries
  106 +*.acn
  107 +*.acr
  108 +*.glg
  109 +*.glo
  110 +*.gls
  111 +*.glsdefs
  112 +*.lzo
  113 +*.lzs
  114 +*.slg
  115 +*.slo
  116 +*.sls
  117 +
  118 +# uncomment this for glossaries-extra (will ignore makeindex's style files!)
  119 +# *.ist
  120 +
  121 +# gnuplot
  122 +*.gnuplot
  123 +*.table
  124 +
  125 +# gnuplottex
  126 +*-gnuplottex-*
  127 +
  128 +# gregoriotex
  129 +*.gaux
  130 +*.glog
  131 +*.gtex
  132 +
  133 +# htlatex
  134 +*.4ct
  135 +*.4tc
  136 +*.idv
  137 +*.lg
  138 +*.trc
  139 +*.xref
  140 +
  141 +# hyperref
  142 +*.brf
  143 +
  144 +# knitr
  145 +*-concordance.tex
  146 +# TODO Uncomment the next line if you use knitr and want to ignore its generated tikz files
  147 +# *.tikz
  148 +*-tikzDictionary
  149 +
  150 +# listings
  151 +*.lol
  152 +
  153 +# luatexja-ruby
  154 +*.ltjruby
  155 +
  156 +# makeidx
  157 +*.idx
  158 +*.ilg
  159 +*.ind
  160 +
  161 +# minitoc
  162 +*.maf
  163 +*.mlf
  164 +*.mlt
  165 +*.mtc[0-9]*
  166 +*.slf[0-9]*
  167 +*.slt[0-9]*
  168 +*.stc[0-9]*
  169 +
  170 +# minted
  171 +_minted*
  172 +*.pyg
  173 +
  174 +# morewrites
  175 +*.mw
  176 +
  177 +# newpax
  178 +*.newpax
  179 +
  180 +# nomencl
  181 +*.nlg
  182 +*.nlo
  183 +*.nls
  184 +
  185 +# pax
  186 +*.pax
  187 +
  188 +# pdfpcnotes
  189 +*.pdfpc
  190 +
  191 +# sagetex
  192 +*.sagetex.sage
  193 +*.sagetex.py
  194 +*.sagetex.scmd
  195 +
  196 +# scrwfile
  197 +*.wrt
  198 +
  199 +# svg
  200 +svg-inkscape/
  201 +
  202 +# sympy
  203 +*.sout
  204 +*.sympy
  205 +sympy-plots-for-*.tex/
  206 +
  207 +# pdfcomment
  208 +*.upa
  209 +*.upb
  210 +
  211 +# pythontex
  212 +*.pytxcode
  213 +pythontex-files-*/
  214 +
  215 +# tcolorbox
  216 +*.listing
  217 +
  218 +# thmtools
  219 +*.loe
  220 +
  221 +# TikZ & PGF
  222 +*.dpth
  223 +*.md5
  224 +*.auxlock
  225 +
  226 +# titletoc
  227 +*.ptc
  228 +
  229 +# todonotes
  230 +*.tdo
  231 +
  232 +# vhistory
  233 +*.hst
  234 +*.ver
  235 +
  236 +# easy-todo
  237 +*.lod
  238 +
  239 +# xcolor
  240 +*.xcp
  241 +
  242 +# xmpincl
  243 +*.xmpi
  244 +
  245 +# xindy
  246 +*.xdy
  247 +
  248 +# xypic precompiled matrices and outlines
  249 +*.xyc
  250 +*.xyd
  251 +
  252 +# endfloat
  253 +*.ttt
  254 +*.fff
  255 +
  256 +# Latexian
  257 +TSWLatexianTemp*
  258 +
  259 +## Editors:
  260 +# WinEdt
  261 +*.bak
  262 +*.sav
  263 +
  264 +# Texpad
  265 +.texpadtmp
  266 +
  267 +# LyX
  268 +*.lyx~
  269 +
  270 +# Kile
  271 +*.backup
  272 +
  273 +# gummi
  274 +.*.swp
  275 +
  276 +# KBibTeX
  277 +*~[0-9]*
  278 +
  279 +# TeXnicCenter
  280 +*.tps
  281 +
  282 +# auto folder when using emacs and auctex
  283 +./auto/*
  284 +*.el
  285 +
  286 +# expex forward references with \gathertags
  287 +*-tags.tex
  288 +
  289 +# standalone packages
  290 +*.sta
  291 +
  292 +# Makeindex log files
  293 +*.lpz
  294 +
  295 +# xwatermark package
  296 +*.xwm
  297 +
  298 +# REVTeX puts footnotes in the bibliography by default, unless the nofootinbib
  299 +# option is specified. Footnotes are the stored in a file with suffix Notes.bib.
  300 +# Uncomment the next line to have this generated file ignored.
  301 +#*Notes.bib
code/asp/bachelor.lp
  Diff comments   View file @53b3b48
1 person(joey). 1 person(joey).
2 -%married(X); -married(X) :- person(X). 2 +married(X); -married(X) :- person(X).
3 male(X); female(X) :- person(X). 3 male(X); female(X) :- person(X).
4 bachelor(X) :- male(X), not married(X). 4 bachelor(X) :- male(X), not married(X).
5 \ No newline at end of file 5 \ No newline at end of file
code/asp/color.lp
  Diff comments   View file @53b3b48
@@ -9,7 +9,7 @@ edge(5,6). edge(6,5). @@ -9,7 +9,7 @@ edge(5,6). edge(6,5).
9 9
10 col(r). col(b). col(g). 10 col(r). col(b). col(g).
11 11
12 -1 { color(X,C) : col(C)} 1 :- node(X). 12 +1 { color(X,C) : col(C) } 1 :- node(X).
13 :- edge(X,Y), color(X,C), color(Y,C). 13 :- edge(X,Y), color(X,C), color(Y,C).
14 14
15 #show color/2. 15 #show color/2.
16 \ No newline at end of file 16 \ No newline at end of file
code/asp/disj.lp 0 → 100644
  Diff comments   View file @53b3b48
@@ -0,0 +1,2 @@ @@ -0,0 +1,2 @@
  1 +a ; -a.
  2 +b ; c :- a.
0 \ No newline at end of file 3 \ No newline at end of file
code/asp/py_01.lp
  Diff comments   View file @53b3b48
@@ -10,11 +10,13 @@ def gcd(a, b): @@ -10,11 +10,13 @@ def gcd(a, b):
10 else: 10 else:
11 na = a.number 11 na = a.number
12 nb = b.number 12 nb = b.number
13 - nc = nb % na  
14 - return gcd(N(nc), a) 13 + nc = N(nb % na)
  14 + return gcd(nc, a)
15 15
16 #end. 16 #end.
17 17
18 p(210, 213). 18 p(210, 213).
19 p(1364, 385). 19 p(1364, 385).
20 -gcd(X, Y, @gcd(X,Y)) :- p(X, Y).  
21 \ No newline at end of file 20 \ No newline at end of file
  21 +gcd(X, Y, @gcd(X,Y)) :- p(X, Y).
  22 +
  23 +#show gcd/3.
22 \ No newline at end of file 24 \ No newline at end of file
code/asp/tutotial_01.lp
  Diff comments   View file @53b3b48
@@ -2,3 +2,4 @@ p(1;2). @@ -2,3 +2,4 @@ p(1;2).
2 q(1;2). 2 q(1;2).
3 r(X,Y) :- p(X), q(Y), X != Y. 3 r(X,Y) :- p(X), q(Y), X != Y.
4 4
  5 +#show r/2.
5 \ No newline at end of file 6 \ No newline at end of file
msc/Empty File
View file @237d62b
task_01/proposal.pdf
View file @53b3b48
No preview for this file type
task_01/proposal.tex 0 → 100644
  Diff comments   View file @53b3b48
@@ -0,0 +1,92 @@ @@ -0,0 +1,92 @@
  1 +\documentclass[a4paper]{article}
  2 +
  3 +\usepackage{commath}
  4 +\usepackage{hyperref}
  5 +\hypersetup{
  6 + colorlinks=true,
  7 + linkcolor=blue,
  8 +}
  9 +
  10 +\title{Zugzwang\\\textit{Logic and Artificial Intelligence}}
  11 +\author{Francisco Coelho\\ \texttt{fc@uevora.pt}}
  12 +
  13 +\begin{document}
  14 +\maketitle
  15 +
  16 +\begin{abstract}
  17 + A major limitation of logical representations is the implicit assumption that the Background Knowledge (BK) is perfect. This assumption is problematic if data is noisy, which is often the case. Here we aim to explore how ASP specifications with probabilistic facts can lead to characterizations of probability functions on the specification's domain.
  18 +\end{abstract}
  19 +
  20 +\section{Introduction and Motivation }
  21 +
  22 +Answer Set Programming (ASP) is a logic programming paradigm based on the Stable Model semantics of Normal Logic Programs (NP) that can be implemented using the latest advances in SAT solving technology. ASP is a truly declarative language that supports language constructs such as disjunction in the head of a clause, choice rules, and hard and weak constraints.
  23 +
  24 +The Distribution Semantics (DS) is a key approach to extend logical representations with probabilistic reasoning. Probabilistic Facts (PF) are the most basic stochastic DS primitive and they take the form of logical facts, $a$, labelled with a probability, such as $p::a$; Each probabilistic fact represents a boolean random variable that is true with probability $p$ and false with probability $1 - p$. A (consistent) combination of the PFs defines a \textit{total choice} $\theta = \set{p::a, \ldots}$ such that
  25 +
  26 +\begin{equation}
  27 + P(\theta) = \prod_{a\in\theta} p \prod_{a \not\in \theta} (1- p).
  28 +\end{equation}
  29 +
  30 +Our goal is to extend this probability, from total choices, to cover the specification domain. We can foresee two key applications of this extended probability:
  31 +
  32 +\begin{enumerate}
  33 + \item Support any probabilistic reasoning/task on the specification domain.
  34 + \item Also, given a dataset and a divergence measure, now the specification can be scored (by the divergence w.r.t. the \emph{empiric} distribution of the dataset), and sorted amongst other specifications. This is a key ingredient in algorithms searching, for example, an \textit{optimal specification} of the dataset.
  35 +\end{enumerate}
  36 +
  37 +This goal faces a critical problem concerning situations where \textit{multiple} standard models result from a given total choice, illustrated by the following example. The specification
  38 +$$
  39 +\begin{aligned}
  40 + 0.3::a&,\cr
  41 + b \vee c& \leftarrow a.
  42 +\end{aligned}
  43 +$$
  44 +has three stable models, $\set{\neg a}, \set{a, b}$ and $\set{a, c}$. While it is straightforward to set $P(\neg a)=0.7$, there is \textit{no further information} to assign values to $P(a,b)$ and $P(a,c)$. At best, we can use a parameter $\alpha$ such that
  45 +$$
  46 +\begin{aligned}
  47 +P(a,b) &= 0.3 \alpha,\cr
  48 +P(a,c) &= 0.3 (1 - \alpha).
  49 +\end{aligned}
  50 +$$
  51 +
  52 +This uncertainty in inherent to the specification, but can be mitigated with the help of a dataset: the parameter $\alpha$ can be estimated from the empirical distribution.
  53 +
  54 +In summary, if an ASP specification is intended to describe some system that can be observed then:
  55 +
  56 +\begin{enumerate}
  57 + \item The observations can be used to estimate the value of the parameters (such as $\alpha$ above and others entailed from further clauses).
  58 + \item With a probability set for the stable models, we want to extend it to all the samples (\textit{i.e.} consistent sets of literals) of the specification.
  59 + \item This extended probability can then be related to the \textit{empirical distribution}, using a probability divergence, such as Kullback-Leibler; and the divergence value used as a \textit{performance} measure of the specification with respect to the observations.
  60 + \item If that specification is only but one of many possible candidates then that performance measure can be used, \textit{e.g.} as fitness, by algorithms searching (optimal) specifications of a dataset of observations.
  61 +\end{enumerate}
  62 +
  63 +Currently, we are on the step two above: Extending a probability function (with parameters such as $\alpha$), defined on the stable sets of a specification, to all the samples of the specification. This extension must, of course, respect the axioms of probability so that probabilistic reasoning is consistent with the ASP specification.
  64 +
  65 +\section{Work Plan}
  66 +
  67 +A team of two researchers and a undergraduate, master, or Ph.D. student, working over six months with adequate resources, should be able to advance substantial contributions and produce an intermediate progress report for a workshop, a final comprehensive paper for a conference, or start a Ph.D. project with greater reach and depth, describing:
  68 +
  69 +\begin{itemize}
  70 + \item The formalization of the methods outlined above, including the parameter estimation from observations and the probability distribution over the specification samples.
  71 + \item Application and evaluation of this approach, using tools such as \hyperlink{https://ciao-lang.org/playground/scasp.html}{s(casp)}, or the \hyperlink{https://potassco.org/}{Potassco suit} to a range of problems from the simple \textit{Burglar, Earthquake, Alarm} to measuring a specification accuracy on a given dataset, or finding an optimal specification for a given dataset given some background knowledge.
  72 +\end{itemize}
  73 +
  74 +While the theoretical word for this project has yet to be completed, there are some relevant tasks that, with different levels of ambition, can be solved right now: \marginpar{Estas tarefas precisam de maior\ldots\ folego.}
  75 +\begin{enumerate}
  76 + \item \textit{Extract Probability Annotations}. For example, convert the annotated specification \verb!0.3::a. b ; c :- a.! to \verb! a ; -a. b ; c :- a!. This is a simple, syntactical task that can be implemented either with \texttt{prolog} or using \texttt{python} and the API provided by the Potassco suite.
  77 + \item \textit{Extended Probability to Stable Models}. Application of the method outlined before, where the probability of total choices is extended to standard models using parameters, which are next estimated with a dataset.
  78 + \item \textit{Relate Samples, Stable Models and Total Choices}. Determine which stable models, or total choices, contain and which are contained in a given sample.
  79 +\end{enumerate}
  80 +
  81 +\section*{References}
  82 +
  83 +
  84 +\begin{enumerate}
  85 + \item Victor Verreet, Vincent Derkinderen, Pedro Zuidberg Dos Martires, Luc De Raedt, Inference and Learning with Model Uncertainty in Probabilistic Logic Programs (2022)
  86 + \item Andrew Cropper, Sebastijan Dumancic, Richard Evans, Stephen H. Muggleton, Inductive logic programming at 30 (2021)
  87 + \item Fabio Gagliardi Cozman, Denis Deratani Mauá, The joy of Probabilistic Answer Set Programming: Semantics - complexity, expressivity, inference (2020)
  88 + \item Fabrizio Riguzzi, Foundations of Probabilistic Logic Programming Languages, Semantics, Inference and Learning. Rivers Publishers (2018)
  89 + \item Martin Gebser, Roland Kaminski, Benjamin Kaufmann, and Torsten Schaub, Answer Set Solving in Practice, Morgan \& Claypool Publishers (2013)
  90 +\end{enumerate}
  91 +
  92 +\end{document}
0 \ No newline at end of file 93 \ No newline at end of file
text/00_PASP.aux
View file @237d62b
@@ -1,170 +0,0 @@ @@ -1,170 +0,0 @@
1 -\relax  
2 -\providecommand\hyper@newdestlabel[2]{}  
3 -\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}  
4 -\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined  
5 -\global\let\oldcontentsline\contentsline  
6 -\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}  
7 -\global\let\oldnewlabel\newlabel  
8 -\gdef\newlabel#1#2{\newlabelxx{#1}#2}  
9 -\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}  
10 -\AtEndDocument{\ifx\hyper@anchor\@undefined  
11 -\let\contentsline\oldcontentsline  
12 -\let\newlabel\oldnewlabel  
13 -\fi}  
14 -\fi}  
15 -\global\let\hyper@last\relax  
16 -\gdef\HyperFirstAtBeginDocument#1{#1}  
17 -\providecommand*\HyPL@Entry[1]{}  
18 -\HyPL@Entry{0<</P(\376\377\0001)>>}  
19 -\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}  
20 -\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}  
21 -\HyPL@Entry{1<</P(\376\377\0002)>>}  
22 -\@writefile{toc}{\beamer@sectionintoc {1}{Introduction}{2}{0}{1}}  
23 -\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{1}}}  
24 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{1}}}  
25 -\@writefile{nav}{\headcommand {\sectionentry {1}{Introduction}{2}{Introduction}{0}}}  
26 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}}  
27 -\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}  
28 -\HyPL@Entry{2<</P(\376\377\0003)>>}  
29 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{2}{3/3}{}{0}}}  
30 -\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}  
31 -\HyPL@Entry{3<</P(\376\377\0004)>>}  
32 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{3}{4/4}{}{0}}}  
33 -\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}  
34 -\HyPL@Entry{4<</P(\376\377\0005)>>}  
35 -\@writefile{snm}{\beamer@slide {eq:prob.tc}{5}}  
36 -\newlabel{eq:prob.tc}{{1}{5}{Introduction}{Doc-Start}{}}  
37 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{4}{5/5}{}{0}}}  
38 -\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}  
39 -\HyPL@Entry{5<</P(\376\377\0006)>>}  
40 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{5}{6/6}{}{0}}}  
41 -\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}  
42 -\HyPL@Entry{6<</P(\376\377\0007)>>}  
43 -\newlabel{prop:unique.ext.tcsm}{{7}{7}{Introduction}{Doc-Start}{}}  
44 -\@writefile{snm}{\beamer@slide {prop:unique.ext.tcsm}{7}}  
45 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{6}{7/7}{}{0}}}  
46 -\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}  
47 -\HyPL@Entry{7<</P(\376\377\0008)>>}  
48 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{7}{8/8}{}{0}}}  
49 -\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}  
50 -\HyPL@Entry{8<</P(\376\377\0009)>>}  
51 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{8}{9/9}{}{0}}}  
52 -\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}  
53 -\HyPL@Entry{9<</P(\376\377\0001\0000)>>}  
54 -\@writefile{nav}{\headcommand {\slideentry {1}{0}{9}{10/10}{}{0}}}  
55 -\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}  
56 -\HyPL@Entry{10<</P(\376\377\0001\0001)>>}  
57 -\@writefile{toc}{\beamer@sectionintoc {2}{Extending Probability to Samples}{11}{0}{2}}  
58 -\@writefile{nav}{\headcommand {\beamer@sectionpages {2}{10}}}  
59 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {2}{10}}}  
60 -\@writefile{nav}{\headcommand {\sectionentry {2}{Extending Probability to Samples}{11}{Extending Probability to Samples}{0}}}  
61 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{1}{11/11}{}{0}}}  
62 -\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}  
63 -\HyPL@Entry{11<</P(\376\377\0001\0002)>>}  
64 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{2}{12/12}{}{0}}}  
65 -\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}  
66 -\HyPL@Entry{12<</P(\376\377\0001\0003)>>}  
67 -\newlabel{prop:lucases}{{13}{13}{Extending Probability to Samples}{Doc-Start}{}}  
68 -\@writefile{snm}{\beamer@slide {prop:lucases}{13}}  
69 -\newlabel{prop:lucases.a}{{1}{13}{Extending Probability to Samples}{Doc-Start}{}}  
70 -\@writefile{snm}{\beamer@slide {prop:lucases.a}{13}}  
71 -\newlabel{prop:lucases.b}{{2}{13}{Extending Probability to Samples}{Doc-Start}{}}  
72 -\@writefile{snm}{\beamer@slide {prop:lucases.b}{13}}  
73 -\newlabel{prop:lucases.c}{{3}{13}{Extending Probability to Samples}{Doc-Start}{}}  
74 -\@writefile{snm}{\beamer@slide {prop:lucases.c}{13}}  
75 -\newlabel{prop:lucases.d}{{4}{13}{Extending Probability to Samples}{Doc-Start}{}}  
76 -\@writefile{snm}{\beamer@slide {prop:lucases.d}{13}}  
77 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{3}{13/13}{}{0}}}  
78 -\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}  
79 -\HyPL@Entry{13<</P(\376\377\0001\0004)>>}  
80 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{4}{14/14}{}{0}}}  
81 -\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}  
82 -\HyPL@Entry{14<</P(\376\377\0001\0005)>>}  
83 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{5}{15/15}{}{0}}}  
84 -\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}  
85 -\HyPL@Entry{15<</P(\376\377\0001\0006)>>}  
86 -\@writefile{snm}{\beamer@slide {def:w.inconsistent}{16}}  
87 -\newlabel{def:w.inconsistent}{{2}{16}{Extending Probability to Samples}{Doc-Start}{}}  
88 -\@writefile{snm}{\beamer@slide {eq:prob.sm}{16}}  
89 -\newlabel{eq:prob.sm}{{3}{16}{Extending Probability to Samples}{Doc-Start}{}}  
90 -\@writefile{snm}{\beamer@slide {def:w.disj}{16}}  
91 -\newlabel{def:w.disj}{{4}{16}{Extending Probability to Samples}{Doc-Start}{}}  
92 -\@writefile{snm}{\beamer@slide {def:w.conj}{16}}  
93 -\newlabel{def:w.conj}{{5}{16}{Extending Probability to Samples}{Doc-Start}{}}  
94 -\@writefile{snm}{\beamer@slide {def:w.empty}{16}}  
95 -\newlabel{def:w.empty}{{6}{16}{Extending Probability to Samples}{Doc-Start}{}}  
96 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{6}{16/16}{}{0}}}  
97 -\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}  
98 -\HyPL@Entry{16<</P(\376\377\0001\0007)>>}  
99 -\@writefile{snm}{\beamer@slide {eq:def.prob}{17}}  
100 -\newlabel{eq:def.prob}{{7}{17}{Extending Probability to Samples}{Doc-Start}{}}  
101 -\@writefile{snm}{\beamer@slide {eq:def.prob.event}{17}}  
102 -\newlabel{eq:def.prob.event}{{8}{17}{Extending Probability to Samples}{Doc-Start}{}}  
103 -\@writefile{nav}{\headcommand {\slideentry {2}{0}{7}{17/17}{}{0}}}  
104 -\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}  
105 -\HyPL@Entry{17<</P(\376\377\0001\0008)>>}  
106 -\@writefile{toc}{\beamer@sectionintoc {3}{Cases \& Examples}{18}{0}{3}}  
107 -\@writefile{nav}{\headcommand {\beamer@sectionpages {11}{17}}}  
108 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {11}{17}}}  
109 -\@writefile{nav}{\headcommand {\sectionentry {3}{Cases \& Examples}{18}{Cases \& Examples}{0}}}  
110 -\@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{18/18}{}{0}}}  
111 -\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}  
112 -\HyPL@Entry{18<</P(\376\377\0001\0009)>>}  
113 -\@writefile{toc}{\beamer@subsectionintoc {3}{1}{Programs with disjunctive heads}{19}{0}{3}}  
114 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {18}{18}}}  
115 -\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{3}{1}{19}{Programs with disjunctive heads}}}  
116 -\@writefile{nav}{\headcommand {\slideentry {3}{1}{1}{19/19}{Programs with disjunctive heads}{0}}}  
117 -\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}  
118 -\HyPL@Entry{19<</P(\376\377\0002\0000)>>}  
119 -\@writefile{nav}{\headcommand {\slideentry {3}{1}{2}{20/20}{Programs with disjunctive heads}{0}}}  
120 -\@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}  
121 -\HyPL@Entry{20<</P(\376\377\0002\0001)>>}  
122 -\@writefile{nav}{\headcommand {\slideentry {3}{1}{3}{21/21}{Programs with disjunctive heads}{0}}}  
123 -\@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}}  
124 -\HyPL@Entry{21<</P(\376\377\0002\0002)>>}  
125 -\@writefile{nav}{\headcommand {\slideentry {3}{1}{4}{22/22}{Programs with disjunctive heads}{0}}}  
126 -\@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}}  
127 -\HyPL@Entry{22<</P(\376\377\0002\0003)>>}  
128 -\@writefile{toc}{\beamer@subsectionintoc {3}{2}{Non-stratified programs}{23}{0}{3}}  
129 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {19}{22}}}  
130 -\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{3}{2}{23}{Non-stratified programs}}}  
131 -\@writefile{nav}{\headcommand {\slideentry {3}{2}{1}{23/23}{Non-stratified programs}{0}}}  
132 -\@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}}  
133 -\HyPL@Entry{23<</P(\376\377\0002\0004)>>}  
134 -\@writefile{nav}{\headcommand {\slideentry {3}{2}{2}{24/24}{Non-stratified programs}{0}}}  
135 -\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}  
136 -\HyPL@Entry{24<</P(\376\377\0002\0005)>>}  
137 -\@writefile{nav}{\headcommand {\slideentry {3}{2}{3}{25/25}{Non-stratified programs}{0}}}  
138 -\@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}  
139 -\HyPL@Entry{25<</P(\376\377\0002\0006)>>}  
140 -\@writefile{nav}{\headcommand {\slideentry {3}{2}{4}{26/26}{Non-stratified programs}{0}}}  
141 -\@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}}  
142 -\HyPL@Entry{26<</P(\376\377\0002\0007)>>}  
143 -\@writefile{nav}{\headcommand {\slideentry {3}{2}{5}{27/27}{Non-stratified programs}{0}}}  
144 -\@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}}  
145 -\HyPL@Entry{27<</P(\376\377\0002\0008)>>}  
146 -\@writefile{toc}{\beamer@sectionintoc {4}{Conclusions}{28}{0}{4}}  
147 -\@writefile{nav}{\headcommand {\beamer@sectionpages {18}{27}}}  
148 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {23}{27}}}  
149 -\@writefile{nav}{\headcommand {\sectionentry {4}{Conclusions}{28}{Conclusions}{0}}}  
150 -\@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{28/28}{}{0}}}  
151 -\@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}  
152 -\HyPL@Entry{28<</P(\376\377\0002\0009)>>}  
153 -\@writefile{nav}{\headcommand {\slideentry {4}{0}{2}{29/29}{}{0}}}  
154 -\@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}  
155 -\HyPL@Entry{29<</P(\376\377\0003\0000)>>}  
156 -\@writefile{nav}{\headcommand {\beamer@sectionpages {28}{29}}}  
157 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {28}{29}}}  
158 -\@writefile{nav}{\headcommand {\sectionentry {5}{ASP \& related definitions}{30}{ASP \& related definitions}{0}}}  
159 -\@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{30/30}{}{0}}}  
160 -\@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}  
161 -\HyPL@Entry{30<</P(\376\377\0003\0001)>>}  
162 -\@writefile{nav}{\headcommand {\slideentry {5}{0}{2}{31/31}{}{0}}}  
163 -\@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}  
164 -\@writefile{nav}{\headcommand {\beamer@partpages {1}{31}}}  
165 -\@writefile{nav}{\headcommand {\beamer@subsectionpages {30}{31}}}  
166 -\@writefile{nav}{\headcommand {\beamer@sectionpages {30}{31}}}  
167 -\@writefile{nav}{\headcommand {\beamer@documentpages {31}}}  
168 -\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {31}}}  
169 -\newlabel{TotPages}{{31}{31}{}{page.31}{}}  
170 -\gdef \@abspage@last{31}  
text/00_PASP.fdb_latexmk
View file @237d62b
@@ -1,241 +0,0 @@ @@ -1,241 +0,0 @@
1 -# Fdb version 3  
2 -["xdvipdfmx"] 1668012215 "00_PASP.xdv" "00_PASP.pdf" "00_PASP" 1668012216  
3 - "00_PASP.xdv" 1668012215 203892 0858b8d4b4e7e8aa8085e0bea6b8815a "xelatex"  
4 - (generated)  
5 - "00_PASP.pdf"  
6 -["xelatex"] 1668012209 "/home/fc/sci/projetos/zugzwang/text/00_PASP.tex" "00_PASP.xdv" "00_PASP" 1668012216  
7 - "/home/fc/sci/projetos/zugzwang/text/00_PASP.tex" 1668012208 32880 d2ff92ff8b2ef9e5a1bd016ddcdcb92a ""  
8 - "/usr/share/texmf-dist/fonts/map/fontname/texfonts.map" 1650183167 3524 cb3e574dea2d1052e39280babc910dc8 ""  
9 - "/usr/share/texmf-dist/fonts/tfm/adobe/zapfding/pzdr.tfm" 1650183167 1528 f853c4d1b4e0550255e02831fdc8496f ""  
10 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm" 1650183167 1004 54797486969f23fa377b128694d548df ""  
11 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm" 1650183167 988 bdf658c3bfc2d96d3c8b02cfc1c94c20 ""  
12 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm" 1650183167 916 f87d7c45f9c908e672703b83b72241a3 ""  
13 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam5.tfm" 1650183167 924 9904cf1d39e9767e7a3622f2a125a565 ""  
14 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm" 1650183167 928 2dc8d444221b7a635bb58038579b861a ""  
15 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm" 1650183167 908 2921f8a10601f252058503cc6570e581 ""  
16 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm5.tfm" 1650183167 940 75ac932a52f80982a9f8ea75d03a34cf ""  
17 - "/usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm" 1650183167 940 228d6584342e91276bf566bcf9716b83 ""  
18 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmex10.tfm" 1650183167 992 662f679a0b3d2d53c1b94050fdaa3f50 ""  
19 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmmi10.tfm" 1650183167 1528 abec98dbc43e172678c11b3b9031252a ""  
20 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm" 1650183167 1512 f21f83efb36853c0b70002322c1ab3ad ""  
21 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm" 1650183167 1520 eccf95517727cb11801f4f1aee3a21b4 ""  
22 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmss10.tfm" 1650183167 1316 b636689f1933f24d1294acdf6041daaa ""  
23 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmss8.tfm" 1650183167 1296 d77f431d10d47c8ea2cc18cf45346274 ""  
24 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm" 1650183167 1124 6c73e740cf17375f03eec0ee63599741 ""  
25 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm" 1650183167 1116 933a60c408fc0a863a92debe84b2d294 ""  
26 - "/usr/share/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm" 1650183167 1120 8b7d695260f3cff42e636090a8002094 ""  
27 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr10.tfm" 1650183167 12056 7e13df7fe4cbce21b072ba7c4f4deb6e ""  
28 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr5.tfm" 1650183167 12020 46464c854bf317de2a7a0bbe4a1160ca ""  
29 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr6.tfm" 1650183167 12048 c1068d0f4772be9b0ec447692e1d6d82 ""  
30 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr7.tfm" 1650183167 12064 09aa3eeac96bf141d673bb1b0385ce55 ""  
31 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr8.tfm" 1650183167 12064 a35db870f0b76c338d749c56dc030ef5 ""  
32 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss10.tfm" 1650183167 11176 53ebf7a171df1f9447b387b178768bb5 ""  
33 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss12.tfm" 1650183167 11232 955a7245396175d9219648eadc654ac9 ""  
34 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss8.tfm" 1650183167 11180 705632ac6b4fb69204ad970192cdf4e5 ""  
35 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmssbx10.tfm" 1650183167 11168 06d87f5698fd1b642d96449b7c8d90b0 ""  
36 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso10.tfm" 1650183167 11316 701b7748a8cc1abea04b4bcc027674ae ""  
37 - "/usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso8.tfm" 1650183167 11312 6908420b41cb9ad797e206f7391721ea ""  
38 - "/usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty" 1650183167 24708 5584a51a7101caf7e6bbf1fc27d8f7b1 ""  
39 - "/usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty" 1650183167 40635 c40361e206be584d448876bba8a64a3b ""  
40 - "/usr/share/texmf-dist/tex/generic/bitset/bitset.sty" 1650183167 33961 6b5c75130e435b2bfdb9f480a09a39f9 ""  
41 - "/usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty" 1650183167 7734 b98cbb34c81f667027c1e3ebdbfce34b ""  
42 - "/usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty" 1650183167 8371 9d55b8bd010bc717624922fb3477d92e ""  
43 - "/usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty" 1650183167 492 1994775aa15b0d1289725a0b1bbc2d4c ""  
44 - "/usr/share/texmf-dist/tex/generic/iftex/iftex.sty" 1650183167 7237 bdd120a32c8fdb4b433cf9ca2e7cd98a ""  
45 - "/usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty" 1650183167 1057 525c2192b5febbd8c1f662c9468335bb ""  
46 - "/usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty" 1650183167 8356 7bbb2c2373aa810be568c29e333da8ed ""  
47 - "/usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty" 1650183167 31769 002a487f55041f8e805cfbf6385ffd97 ""  
48 - "/usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty" 1650183167 5412 d5a2436094cd7be85769db90f29250a6 ""  
49 - "/usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty" 1650183167 13807 952b0226d4efca026f0e19dd266dcc22 ""  
50 - "/usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty" 1650183167 17859 4409f8f50cd365c68e684407e5350b1b ""  
51 - "/usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty" 1650183167 19007 15924f7228aca6c6d184b115f4baa231 ""  
52 - "/usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty" 1650183167 20089 80423eac55aa175305d35b49e04fe23b ""  
53 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex" 1650183167 992 855ff26741653ab54814101ca36e153c ""  
54 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex" 1650183167 43820 1fef971b75380574ab35a0d37fd92608 ""  
55 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex" 1650183167 19324 f4e4c6403dd0f1605fd20ed22fa79dea ""  
56 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex" 1650183167 6038 ccb406740cc3f03bbfb58ad504fe8c27 ""  
57 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex" 1650183167 6944 e12f8f7a7364ddf66f93ba30fb3a3742 ""  
58 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex" 1650183167 4883 42daaf41e27c3735286e23e48d2d7af9 ""  
59 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex" 1650183167 2544 8c06d2a7f0f469616ac9e13db6d2f842 ""  
60 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex" 1650183167 44195 5e390c414de027626ca5e2df888fa68d ""  
61 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex" 1650183167 17311 2ef6b2e29e2fc6a2fc8d6d652176e257 ""  
62 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex" 1650183167 21302 788a79944eb22192a4929e46963a3067 ""  
63 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex" 1650183167 9690 01feb7cde25d4293ef36eef45123eb80 ""  
64 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex" 1650183167 33335 dd1fa4814d4e51f18be97d88bf0da60c ""  
65 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex" 1650183167 2965 4c2b1f4e0826925746439038172e5d6f ""  
66 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex" 1650183167 5196 2cc249e0ee7e03da5f5f6589257b1e5b ""  
67 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex" 1650183167 20726 d4c8db1e2e53b72721d29916314a22ea ""  
68 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex" 1650183167 35249 abd4adf948f960299a4b3d27c5dddf46 ""  
69 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex" 1650183167 21989 fdc867d05d228316de137a9fc5ec3bbe ""  
70 - "/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex" 1650183167 8893 e851de2175338fdf7c17f3e091d94618 ""  
71 - "/usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex" 1650183167 11518 738408f795261b70ce8dd47459171309 ""  
72 - "/usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex" 1650183167 186007 6e7dfe0bd57520fd5f91641aa72dcac8 ""  
73 - "/usr/share/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex" 1650183167 32995 ac577023e12c0e4bd8aa420b2e852d1a ""  
74 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfint.code.tex" 1650183167 3063 8c415c68a0f3394e45cfeca0b65f6ee6 ""  
75 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex" 1650183167 521 8e224a7af69b7fee4451d1bf76b46654 ""  
76 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex" 1650183167 13391 84d29568c13bdce4133ab4a214711112 ""  
77 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex" 1650183167 104935 184ed87524e76d4957860df4ce0cd1c3 ""  
78 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex" 1650183167 10165 cec5fa73d49da442e56efc2d605ef154 ""  
79 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex" 1650183167 28178 41c17713108e0795aac6fef3d275fbca ""  
80 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex" 1650183167 9989 c55967bf45126ff9b061fa2ca0c4694f ""  
81 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex" 1650183167 3865 ac538ab80c5cf82b345016e474786549 ""  
82 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex" 1650183167 3177 27d85c44fbfe09ff3b2cf2879e3ea434 ""  
83 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex" 1650183167 11024 0179538121bc2dba172013a3ef89519f ""  
84 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex" 1650183167 7854 4176998eeefd8745ac6d2d4bd9c98451 ""  
85 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex" 1650183167 3379 781797a101f647bab82741a99944a229 ""  
86 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex" 1650183167 92405 f515f31275db273f97b9d8f52e1b0736 ""  
87 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex" 1650183167 37376 11cd75aac3da1c1b152b2848f30adc14 ""  
88 - "/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex" 1650183167 8471 c2883569d03f69e8e1cabfef4999cfd7 ""  
89 - "/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex" 1650183167 21201 08d231a2386e2b61d64641c50dc15abd ""  
90 - "/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex" 1650183167 16121 346f9013d34804439f7436ff6786cef7 ""  
91 - "/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex" 1650183167 44784 cedaa399d15f95e68e22906e2cc09ef8 ""  
92 - "/usr/share/texmf-dist/tex/generic/pgf/pgf.revision.tex" 1650183167 465 d68603f8b820ea4a08cce534944db581 ""  
93 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg" 1650183167 926 2963ea0dcf6cc6c0a770b69ec46a477b ""  
94 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def" 1650183167 5546 f3f24d7898386cb7daac70bdd2c4d6dc ""  
95 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def" 1650183167 18491 d0e112cb6dad363566090fd455960cec ""  
96 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def" 1650183167 2926 cf943e23420d552258ae428601f26fbf ""  
97 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex" 1650183167 61163 9b2eefc24e021323e0fc140e9826d016 ""  
98 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex" 1650183167 1896 b8e0ca0ac371d74c0ca05583f6313c91 ""  
99 - "/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex" 1650183167 7778 53c8b5623d80238f6a20aa1df1868e63 ""  
100 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex" 1650183167 23997 a4bed72405fa644418bea7eac2887006 ""  
101 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex" 1650183167 37060 797782f0eb50075c9bc952374d9a659a ""  
102 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex" 1650183167 37431 9abe862035de1b29c7a677f3205e3d9f ""  
103 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex" 1650183167 4494 af17fb7efeafe423710479858e42fa7e ""  
104 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex" 1650183167 7251 fb18c67117e09c64de82267e12cd8aa4 ""  
105 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex" 1650183167 29274 e15c5b7157d21523bd9c9f1dfa146b8e ""  
106 - "/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def" 1650183167 6825 a2b0ea5b539dda0625e99dd15785ab59 ""  
107 - "/usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def" 1650183167 5108 8920602307ea1294ccbce2300c7c6ccb ""  
108 - "/usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def" 1650183167 4522 e5705d4a9ee01991c69cc376d6ca9bc0 ""  
109 - "/usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty" 1650183167 21514 b7557edcee22835ef6b03ede1802dad4 ""  
110 - "/usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty" 1650183167 7008 f92eaa0a3872ed622bbf538217cd2ab7 ""  
111 - "/usr/share/texmf-dist/tex/generic/xstring/xstring.sty" 1650181202 123 a302f2c651a95033260db60e51527ae8 ""  
112 - "/usr/share/texmf-dist/tex/generic/xstring/xstring.tex" 1650181202 48190 9b86e8476d1d94df049e99d192261166 ""  
113 - "/usr/share/texmf-dist/tex/latex/amscls/amsthm.sty" 1650183167 12594 0d51ac3a545aaaa555021326ff22a6cc ""  
114 - "/usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty" 1650183167 5949 3f3fd50a8cc94c3d4cbf4fc66cd3df1c ""  
115 - "/usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty" 1650183167 13829 94730e64147574077f8ecfea9bb69af4 ""  
116 - "/usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd" 1650183167 961 6518c6525a34feb5e8250ffa91731cff ""  
117 - "/usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd" 1650183167 961 d02606146ba5601b5645f987c92e6193 ""  
118 - "/usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty" 1650183167 2222 da905dc1db75412efd2d8f67739f0596 ""  
119 - "/usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty" 1650183167 4173 bc0410bcccdff806d6132d3c1ef35481 ""  
120 - "/usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty" 1650183167 87648 07fbb6e9169e00cb2a2f40b31b2dbf3c ""  
121 - "/usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty" 1650183167 4128 8eea906621b6639f7ba476a472036bbe ""  
122 - "/usr/share/texmf-dist/tex/latex/amsmath/amstext.sty" 1650183167 2444 926f379cc60fcf0c6e3fee2223b4370d ""  
123 - "/usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty" 1650183167 19336 ce7ae9438967282886b3b036cfad1e4d ""  
124 - "/usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty" 1650183167 3935 57aa3c3e203a5c2effb4d2bd2efbc323 ""  
125 - "/usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty" 1650183167 3034 3bfb87122e6fa8758225c0dd3cbaceba ""  
126 - "/usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty" 1650183167 2462 754d6b31b2ab5a09bb72c348ace2ec75 ""  
127 - "/usr/share/texmf-dist/tex/latex/base/fontenc.sty" 1650183167 4946 461cc78f6f26901410d9f1d725079cc6 ""  
128 - "/usr/share/texmf-dist/tex/latex/base/ifthen.sty" 1650183167 5157 f308c7c04889e16c588e78aa42599fae ""  
129 - "/usr/share/texmf-dist/tex/latex/base/size11.clo" 1650183167 8464 74db94825c407b51399ca17d9bd38a3d ""  
130 - "/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd" 1650183167 2430 06a89bcded389391906798ea7a3f3aaa ""  
131 - "/usr/share/texmf-dist/tex/latex/beamer/beamer.cls" 1650183167 12335 462ad8600e699286ae5bd068fe78594b ""  
132 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty" 1650183167 24160 45a13ef4310e1e6ae8a2702a712b5f37 ""  
133 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty" 1650183167 7344 4b669c019e50a1be48999086dfa79ba1 ""  
134 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty" 1650183167 12589 c2e8a707f95e114b40e2be10f5aefffa ""  
135 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty" 1650183167 26232 66f0c0fc1c3ea04aadb9c1402292d0ac ""  
136 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty" 1650183167 9407 98317d4428bbbc4430035c0c0e3898d5 ""  
137 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty" 1650183167 13642 ba13518fbcbdad62e3935775004ddea2 ""  
138 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty" 1650183167 25572 d822973a753f02ba1f37616065f21678 ""  
139 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty" 1650183167 12171 76b69a0f505c817a764f41b6d7fb98e1 ""  
140 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty" 1650183167 9209 8a4ea3057cafb3e094ef6fcec6ff5abc ""  
141 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty" 1650183167 17622 85760d86f730e8faf1f7378f6e67e409 ""  
142 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty" 1650183167 8313 358d4bb860bd9098eb24099f36b27af1 ""  
143 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty" 1650183167 7574 6d0e29b16443d86a896479ec2aabff07 ""  
144 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty" 1650183167 29020 6cae2187b2d2bc4f39b6bb5bddbcf031 ""  
145 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty" 1650183167 5712 f2473ee53b8c7edb3cfb0b157f067562 ""  
146 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty" 1650183167 1753 c10ec1df45e4b4c7ee05e306d23f95d7 ""  
147 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty" 1650183167 27425 7f090822023c1cb57d609b70b5e7cc42 ""  
148 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty" 1650183167 1593 48c3729494fa250d34789fd6af677f99 ""  
149 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty" 1650183167 13527 6266cecef9dcaa294ba1dc5ff2d8a798 ""  
150 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty" 1650183167 5753 fbf8c2f7c7d6d5d1d2b900c353f094e8 ""  
151 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty" 1650183167 1140 cdaff8d445bd2a4e7afdec5190a758c0 ""  
152 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty" 1650183167 4548 cdde9ae4b614ce5ea4cf7a232ceeb6a8 ""  
153 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty" 1650183167 5356 d32dea458460fce4541d4f9aa765b876 ""  
154 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty" 1650183167 7755 23d097ce0f5b45524f920565fe65e8ae ""  
155 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty" 1650183167 637 685bd3d40aca2fa87965a39bc31aca7f ""  
156 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty" 1650183167 1808 098e1772761e9b4a016e74f1a4c1cb74 ""  
157 - "/usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty" 1650183167 4026 1ba2c6a2acf275d63cb85d60d8597fe8 ""  
158 - "/usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty" 1650183167 7089 c34bc77851d46db7348b94bd5e51168a ""  
159 - "/usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty" 1650183167 853 82dd210288d1106dcf8014b257a62279 ""  
160 - "/usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty" 1650183167 4236 21e590075d6781cc58fee783316ee268 ""  
161 - "/usr/share/texmf-dist/tex/latex/beamer/beamericonarticle.20.pdf" 1650183167 2958 4e0c4a6e994e5c4d9da11c477e927f0f ""  
162 - "/usr/share/texmf-dist/tex/latex/beamer/beamericonarticle.pdf" 1650183167 2936 6cc3ef0682cbb62be8aa1b19f0a84ed6 ""  
163 - "/usr/share/texmf-dist/tex/latex/beamer/beamericonbook.20.pdf" 1650183167 2734 0bcf939051dd2a936cdfe5982f7c233b ""  
164 - "/usr/share/texmf-dist/tex/latex/beamer/beamericonbook.pdf" 1650183167 2667 7624351b441ffe4bd2d14e08fbcf063d ""  
165 - "/usr/share/texmf-dist/tex/latex/beamer/beamericononline.20.pdf" 1650183167 24451 195d2c060e84f339954bc6d9b52131d7 ""  
166 - "/usr/share/texmf-dist/tex/latex/beamer/beamericononline.pdf" 1650183167 24611 df07010540266b2b205b492a4d02e7e1 ""  
167 - "/usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty" 1650183167 402 e195c2bcc25433d9ad026b309024fcf9 ""  
168 - "/usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty" 1650183167 13080 71b38252cbe3d689bcd03161d205eb84 ""  
169 - "/usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty" 1650183167 6946 ef0e875be97ab827b5cf3232042f1628 ""  
170 - "/usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty" 1650183167 355 75c98e7b8f427eb7c625ed391b140c5b ""  
171 - "/usr/share/texmf-dist/tex/latex/commath/commath.sty" 1650181575 9537 ecb0f152230e8d1c561906edc314dcbc ""  
172 - "/usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty" 1650183167 46845 3b58f70c6e861a13d927bff09d35ecbc ""  
173 - "/usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty" 1650183167 2368 ef01f98551a0f54407358b67f8a6c5e1 ""  
174 - "/usr/share/texmf-dist/tex/latex/geometry/geometry.sty" 1650183167 41601 9cf6c5257b1bc7af01a58859749dd37a ""  
175 - "/usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg" 1650183167 1213 620bba36b25224fa9b7e1ccb4ecb76fd ""  
176 - "/usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg" 1650183167 1224 978390e9c2234eab29404bc21b268d1e ""  
177 - "/usr/share/texmf-dist/tex/latex/graphics-def/xetex.def" 1650183167 14363 d3c336f2f510c0b73629f44e987d2e6a ""  
178 - "/usr/share/texmf-dist/tex/latex/graphics/color.sty" 1650183167 7197 eb6c1ebf41667a05cb50c23c19d5e8bc ""  
179 - "/usr/share/texmf-dist/tex/latex/graphics/graphics.sty" 1650183167 18399 7e40f80366dffb22c0e7b70517db5cb4 ""  
180 - "/usr/share/texmf-dist/tex/latex/graphics/graphicx.sty" 1650183167 7996 a8fb260d598dcaf305a7ae7b9c3e3229 ""  
181 - "/usr/share/texmf-dist/tex/latex/graphics/keyval.sty" 1650183167 2671 4de6781a30211fe0ea4c672e4a2a8166 ""  
182 - "/usr/share/texmf-dist/tex/latex/graphics/trig.sty" 1650183167 4009 187ea2dc3194cd5a76cd99a8d7a6c4d0 ""  
183 - "/usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty" 1650183167 17914 4c28a13fc3d975e6e81c9bea1d697276 ""  
184 - "/usr/share/texmf-dist/tex/latex/hyperref/hxetex.def" 1650183167 45016 0a35faa45750bcb80114f8df2443e9c1 ""  
185 - "/usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty" 1650183167 220999 6145ea83914c186e178d1d31c50b37df ""  
186 - "/usr/share/texmf-dist/tex/latex/hyperref/nameref.sty" 1650183167 13242 133e617c5eebffdd05e421624022b267 ""  
187 - "/usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def" 1650183167 14132 e8e7e61e51ade521a7238fac8362786c ""  
188 - "/usr/share/texmf-dist/tex/latex/hyperref/puenc.def" 1650183167 117004 ed1c2cc82bb9836e9d59549dd8c33098 ""  
189 - "/usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty" 1650181202 61409 611a1d217ee1bcaa96feb7a3165f8767 ""  
190 - "/usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty" 1650181202 318 019510c713feab56160631df4423d2aa ""  
191 - "/usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty" 1650183167 11081 5538240709a5dbcdc97e4d1524f034a8 ""  
192 - "/usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty" 1650183167 3225 54deb0fdd4552a94c6525a4a8ff74efc ""  
193 - "/usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty" 1650183167 1954 94f3677c5f3a58b3854eb25278202694 ""  
194 - "/usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty" 1650183167 22521 d2fceb764a442a2001d257ef11db7618 ""  
195 - "/usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def" 1650183167 35763 558b6bb076dfa9b058fe5c58dc6e0434 ""  
196 - "/usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty" 1650183167 5766 13a9e8766c47f30327caf893ece86ac8 ""  
197 - "/usr/share/texmf-dist/tex/latex/lm/t1lmr.fd" 1650183167 1867 996fe743d88a01aca041ed22cc10e1bb ""  
198 - "/usr/share/texmf-dist/tex/latex/lm/t1lmss.fd" 1650183167 1641 f48673bce41ac279099d0c9523459753 ""  
199 - "/usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty" 1650183167 1922 5bdcc31b0573e5e7f31c36f1b88b6a7d ""  
200 - "/usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty" 1650181202 5526 5ffff551ead72b2c156114adf6316943 ""  
201 - "/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty" 1650183167 1090 bae35ef70b3168089ef166db3e66f5b2 ""  
202 - "/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty" 1650183167 410 615550c46f918fcbee37641b02a862d9 ""  
203 - "/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty" 1650183167 21013 f4ff83d25bb56552493b030f27c075ae ""  
204 - "/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty" 1650183167 989 c49c8ae06d96f8b15869da7428047b1e ""  
205 - "/usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty" 1650183167 339 c2e180022e3afdb99c7d0ea5ce469b7d ""  
206 - "/usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty" 1650183167 306 c56a323ca5bf9242f54474ced10fca71 ""  
207 - "/usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty" 1650183167 443 8c872229db56122037e86bcda49e14f3 ""  
208 - "/usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty" 1650183167 348 ee405e64380c11319f0e249fed57e6c5 ""  
209 - "/usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty" 1650183167 274 5ae372b7df79135d240456a1c6f2cf9a ""  
210 - "/usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty" 1650183167 325 f9f16d12354225b7dd52a3321f085955 ""  
211 - "/usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty" 1650183167 2232 b9a67bccba736ed334b4b1a860a85c6f ""  
212 - "/usr/share/texmf-dist/tex/latex/refcount/refcount.sty" 1650183167 9878 9e94e8fa600d95f9c7731bb21dfb67a4 ""  
213 - "/usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty" 1650183167 9715 b051d5b493d9fe5f4bc251462d039e5f ""  
214 - "/usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty" 1650179560 4282 5d27280ace1239baaa4a225df16125ff ""  
215 - "/usr/share/texmf-dist/tex/latex/tools/enumerate.sty" 1650183167 3468 068d84ef9735e15f11c5a120c0a1a139 ""  
216 - "/usr/share/texmf-dist/tex/latex/totpages/totpages.sty" 1650181202 7670 b07e668265cf485332abe582e7ed306e ""  
217 - "/usr/share/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict" 1650183167 3535 7dc96051305a7e943219126c49c44cd6 ""  
218 - "/usr/share/texmf-dist/tex/latex/translator/translator-bibliography-dictionary-English.dict" 1650183167 903 c6d17f0656e9e1abb172b4faebabd617 ""  
219 - "/usr/share/texmf-dist/tex/latex/translator/translator-environment-dictionary-English.dict" 1650183167 433 bfb8d1c2c020defd2de8e5c276710094 ""  
220 - "/usr/share/texmf-dist/tex/latex/translator/translator-months-dictionary-English.dict" 1650183167 1337 9a6c05e8f0c8b3c5f27cbd0e455cf475 ""  
221 - "/usr/share/texmf-dist/tex/latex/translator/translator-numbers-dictionary-English.dict" 1650183167 1638 2bf1a1dea98f8a4d28033fce76e9cc67 ""  
222 - "/usr/share/texmf-dist/tex/latex/translator/translator-theorem-dictionary-English.dict" 1650183167 3523 1f9d9b91f7d78b73e74c7e97bca30fb0 ""  
223 - "/usr/share/texmf-dist/tex/latex/translator/translator.sty" 1650183167 8765 56d370785f0143111ff9898b5adfe08e ""  
224 - "/usr/share/texmf-dist/tex/latex/url/url.sty" 1650183167 12796 8edb7d69a20b857904dd0ea757c14ec9 ""  
225 - "/usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty" 1650183167 56029 3f7889dab51d620aa43177c391b7b190 ""  
226 - "/usr/share/texmf-dist/web2c/texmf.cnf" 1650183167 39911 2da6c67557ec033436fe5418a70a8a61 ""  
227 - "/var/lib/texmf/web2c/xetex/xelatex.fmt" 1667607223 5825155 acc75abcaf8e6f881414fa8770610f6c ""  
228 - "00_PASP.aux" 1668012215 10175 631506c17974104545ec9f7326871ea2 "xelatex"  
229 - "00_PASP.nav" 1668012215 4415 70ff7441078bcca01fe957123d46aa96 "xelatex"  
230 - "00_PASP.out" 1668012215 1123 b2bcf7d8938de98bdfd00e76ac45d7c1 "xelatex"  
231 - "00_PASP.tex" 1668012208 32880 d2ff92ff8b2ef9e5a1bd016ddcdcb92a ""  
232 - "00_PASP.toc" 1668012215 359 90550d08e709a3bd1267d8fa48d5648b "xelatex"  
233 - "Pabc_alpha03.pdf" 1663331875 12659 e50124c327299028f63ecb501d23eb0d ""  
234 - (generated)  
235 - "00_PASP.aux"  
236 - "00_PASP.log"  
237 - "00_PASP.nav"  
238 - "00_PASP.out"  
239 - "00_PASP.snm"  
240 - "00_PASP.toc"  
241 - "00_PASP.xdv"  
text/00_PASP.fls
View file @237d62b
@@ -1,1510 +0,0 @@ @@ -1,1510 +0,0 @@
1 -PWD /home/fc/sci/projetos/zugzwang/text  
2 -INPUT /usr/share/texmf-dist/web2c/texmf.cnf  
3 -INPUT /var/lib/texmf/web2c/xetex/xelatex.fmt  
4 -INPUT /home/fc/sci/projetos/zugzwang/text/00_PASP.tex  
5 -OUTPUT 00_PASP.log  
6 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
7 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
8 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
9 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
10 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
11 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
12 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
13 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
14 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
15 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
16 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
17 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
18 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
19 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
20 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
21 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
22 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
23 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
24 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
25 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
26 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
27 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty  
28 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
29 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
30 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
31 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
32 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
33 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
34 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
35 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
36 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
37 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
38 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
39 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
40 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
41 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
42 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
43 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
44 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
45 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
46 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
47 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
48 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
49 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
50 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
51 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
52 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
53 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
54 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
55 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
56 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
57 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
58 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
59 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
60 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
61 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
62 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
63 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
64 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
65 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
66 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
67 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
68 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
69 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
70 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
71 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty  
72 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
73 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
74 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
75 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
76 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
77 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
78 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
79 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
80 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
81 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
82 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
83 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
84 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
85 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
86 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
87 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
88 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
89 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
90 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
91 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
92 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
93 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
94 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
95 -INPUT /usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
96 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
97 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
98 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
99 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
100 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
101 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
102 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
103 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
104 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
105 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
106 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
107 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
108 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
109 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
110 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
111 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
112 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
113 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
114 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
115 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
116 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
117 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
118 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
119 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
120 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
121 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
122 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
123 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
124 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
125 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
126 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
127 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
128 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
129 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
130 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
131 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex  
132 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex  
133 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def  
134 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex  
135 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex  
136 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex  
137 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex  
138 -INPUT /usr/share/texmf-dist/tex/generic/pgf/pgf.revision.tex  
139 -INPUT /usr/share/texmf-dist/tex/generic/pgf/pgf.revision.tex  
140 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
141 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
142 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
143 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
144 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
145 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
146 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
147 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
148 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
149 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
150 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
151 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex  
152 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex  
153 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex  
154 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex  
155 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex  
156 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex  
157 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex  
158 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex  
159 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex  
160 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex  
161 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex  
162 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex  
163 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex  
164 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex  
165 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex  
166 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex  
167 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex  
168 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex  
169 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex  
170 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex  
171 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex  
172 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex  
173 -INPUT /usr/share/texmf-dist/tex/latex/base/size11.clo  
174 -INPUT /usr/share/texmf-dist/tex/latex/base/size11.clo  
175 -INPUT /usr/share/texmf-dist/tex/latex/base/size11.clo  
176 -INPUT /usr/share/texmf-dist/tex/latex/base/size11.clo  
177 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
178 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
179 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
180 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
181 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
182 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
183 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
184 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
185 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
186 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
187 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
188 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
189 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
190 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
191 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
192 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
193 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
194 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
195 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
196 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
197 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
198 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
199 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
200 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
201 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
202 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
203 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
204 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
205 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
206 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
207 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
208 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
209 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
210 -INPUT /usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
211 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
212 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
213 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
214 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
215 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
216 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
217 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
218 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
219 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
220 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
221 -INPUT /usr/share/texmf-dist/tex/latex/graphics/trig.sty  
222 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg  
223 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg  
224 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg  
225 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg  
226 -INPUT /usr/share/texmf-dist/tex/latex/graphics-def/xetex.def  
227 -INPUT /usr/share/texmf-dist/tex/latex/graphics-def/xetex.def  
228 -INPUT /usr/share/texmf-dist/tex/latex/graphics-def/xetex.def  
229 -INPUT /usr/share/texmf-dist/tex/latex/graphics-def/xetex.def  
230 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
231 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
232 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
233 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
234 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
235 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
236 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
237 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
238 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
239 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
240 -INPUT /usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty  
241 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
242 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex  
243 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex  
244 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex  
245 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex  
246 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex  
247 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg  
248 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def  
249 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def  
250 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def  
251 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def  
252 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex  
253 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex  
254 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex  
255 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex  
256 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex  
257 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex  
258 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex  
259 -INPUT /usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex  
260 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
261 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
262 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
263 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
264 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
265 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
266 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
267 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
268 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
269 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
270 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
271 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
272 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg  
273 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg  
274 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg  
275 -INPUT /usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg  
276 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex  
277 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex  
278 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex  
279 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex  
280 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex  
281 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfint.code.tex  
282 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex  
283 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex  
284 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex  
285 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex  
286 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex  
287 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex  
288 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex  
289 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex  
290 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex  
291 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex  
292 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex  
293 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex  
294 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex  
295 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex  
296 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex  
297 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex  
298 -INPUT /usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex  
299 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
300 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
301 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
302 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
303 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
304 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
305 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
306 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
307 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
308 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
309 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
310 -INPUT /usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
311 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
312 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
313 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
314 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
315 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
316 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
317 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
318 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
319 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
320 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
321 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
322 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
323 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
324 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
325 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
326 -INPUT /usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
327 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
328 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
329 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
330 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
331 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
332 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
333 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
334 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
335 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
336 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
337 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
338 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
339 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
340 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
341 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
342 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
343 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
344 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
345 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
346 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
347 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
348 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
349 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
350 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
351 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
352 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
353 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
354 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
355 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
356 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
357 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
358 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
359 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
360 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
361 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
362 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
363 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
364 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
365 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
366 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
367 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
368 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
369 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
370 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
371 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
372 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
373 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
374 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
375 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
376 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
377 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
378 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
379 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
380 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
381 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
382 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
383 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
384 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
385 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
386 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
387 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
388 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
389 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
390 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
391 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
392 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
393 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
394 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
395 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
396 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
397 -INPUT /usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
398 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
399 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
400 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
401 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
402 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
403 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
404 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
405 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
406 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
407 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
408 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
409 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
410 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
411 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
412 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
413 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
414 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
415 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
416 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
417 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
418 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
419 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
420 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
421 -INPUT /usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
422 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
423 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
424 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
425 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
426 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
427 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
428 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
429 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
430 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
431 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
432 -INPUT /usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
433 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
434 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
435 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
436 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
437 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
438 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
439 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
440 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
441 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
442 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
443 -INPUT /usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
444 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
445 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
446 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
447 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
448 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
449 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
450 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
451 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
452 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
453 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
454 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
455 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
456 -INPUT /usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
457 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def  
458 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def  
459 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def  
460 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def  
461 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
462 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
463 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
464 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
465 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
466 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
467 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
468 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
469 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
470 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
471 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
472 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
473 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
474 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
475 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
476 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
477 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
478 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
479 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
480 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
481 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
482 -INPUT /usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
483 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
484 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
485 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/puenc.def  
486 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/puenc.def  
487 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/puenc.def  
488 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/puenc.def  
489 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
490 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
491 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
492 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
493 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
494 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
495 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
496 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
497 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
498 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
499 -INPUT /usr/share/texmf-dist/tex/latex/url/url.sty  
500 -INPUT /usr/share/texmf-dist/fonts/map/fontname/texfonts.map  
501 -INPUT /usr/share/texmf-dist/fonts/tfm/adobe/zapfding/pzdr.tfm  
502 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
503 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
504 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
505 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
506 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
507 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
508 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
509 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
510 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
511 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
512 -INPUT /usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
513 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
514 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
515 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
516 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
517 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
518 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
519 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
520 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
521 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
522 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
523 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
524 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
525 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
526 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
527 -INPUT /usr/share/texmf-dist/tex/generic/atbegshi/atbegshi.sty  
528 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hxetex.def  
529 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hxetex.def  
530 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hxetex.def  
531 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hxetex.def  
532 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
533 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
534 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
535 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
536 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
537 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
538 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
539 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
540 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
541 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
542 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
543 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
544 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
545 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
546 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
547 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
548 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
549 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
550 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
551 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
552 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
553 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
554 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
555 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
556 -INPUT /usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
557 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
558 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
559 -INPUT /usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
560 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
561 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
562 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
563 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
564 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
565 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
566 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
567 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
568 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
569 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
570 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
571 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
572 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
573 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
574 -INPUT /usr/share/texmf-dist/tex/latex/atveryend/atveryend.sty  
575 -INPUT /usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
576 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
577 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
578 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
579 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
580 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
581 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
582 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
583 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
584 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
585 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
586 -INPUT /usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
587 -INPUT /usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
588 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
589 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
590 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
591 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
592 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
593 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
594 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
595 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
596 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
597 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
598 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
599 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty  
600 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
601 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
602 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
603 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
604 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
605 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
606 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
607 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
608 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
609 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
610 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty  
611 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
612 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
613 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
614 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
615 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
616 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
617 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
618 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
619 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
620 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
621 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty  
622 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
623 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
624 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
625 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
626 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
627 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
628 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
629 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
630 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
631 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
632 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
633 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
634 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
635 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
636 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
637 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
638 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
639 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
640 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
641 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
642 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
643 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
644 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
645 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
646 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
647 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
648 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
649 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
650 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
651 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
652 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
653 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
654 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
655 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
656 -INPUT /usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
657 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
658 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
659 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
660 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
661 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
662 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
663 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
664 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
665 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
666 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
667 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
668 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
669 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
670 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
671 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
672 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
673 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
674 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
675 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
676 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
677 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
678 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
679 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
680 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
681 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
682 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
683 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
684 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
685 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
686 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
687 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
688 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
689 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
690 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
691 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
692 -INPUT /usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
693 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
694 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
695 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
696 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
697 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
698 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
699 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
700 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
701 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
702 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
703 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty  
704 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
705 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
706 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
707 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
708 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
709 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
710 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
711 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
712 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
713 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
714 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator.sty  
715 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
716 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
717 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
718 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
719 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
720 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
721 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
722 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
723 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
724 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
725 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
726 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty  
727 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
728 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
729 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
730 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
731 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
732 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
733 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
734 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
735 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
736 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
737 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty  
738 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
739 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
740 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
741 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
742 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
743 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
744 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
745 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
746 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
747 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
748 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
749 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
750 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
751 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
752 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
753 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
754 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
755 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
756 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
757 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
758 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
759 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty  
760 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
761 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
762 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
763 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
764 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
765 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
766 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
767 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
768 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
769 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
770 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
771 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
772 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
773 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
774 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
775 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
776 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
777 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
778 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
779 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
780 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
781 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
782 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
783 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
784 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
785 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
786 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
787 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
788 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
789 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
790 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
791 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
792 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
793 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
794 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
795 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
796 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
797 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
798 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
799 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
800 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
801 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
802 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
803 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
804 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
805 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
806 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
807 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
808 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
809 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
810 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
811 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
812 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
813 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
814 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
815 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
816 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
817 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
818 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
819 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
820 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
821 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
822 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
823 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
824 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
825 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty  
826 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
827 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
828 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
829 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
830 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
831 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
832 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
833 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
834 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
835 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
836 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
837 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
838 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
839 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
840 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
841 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
842 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
843 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
844 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
845 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
846 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
847 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty  
848 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
849 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
850 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
851 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
852 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
853 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
854 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
855 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
856 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
857 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
858 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
859 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
860 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
861 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
862 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
863 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
864 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
865 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
866 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
867 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
868 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
869 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty  
870 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
871 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
872 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
873 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
874 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
875 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
876 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
877 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
878 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
879 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
880 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
881 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
882 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
883 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
884 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
885 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
886 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
887 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
888 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
889 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
890 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
891 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty  
892 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
893 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
894 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
895 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
896 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
897 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
898 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
899 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
900 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
901 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
902 -INPUT /usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
903 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
904 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
905 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
906 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
907 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
908 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
909 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
910 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
911 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
912 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
913 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
914 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
915 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
916 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
917 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
918 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
919 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
920 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
921 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
922 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
923 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
924 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty  
925 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
926 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
927 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
928 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
929 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
930 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
931 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
932 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
933 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
934 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
935 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
936 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
937 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
938 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
939 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
940 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
941 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
942 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
943 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
944 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
945 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
946 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
947 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
948 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
949 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
950 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
951 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
952 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
953 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
954 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
955 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
956 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
957 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
958 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
959 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
960 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
961 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
962 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
963 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
964 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
965 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
966 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
967 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
968 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
969 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
970 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
971 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
972 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
973 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
974 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
975 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
976 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
977 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
978 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
979 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
980 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
981 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
982 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
983 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
984 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
985 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
986 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
987 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
988 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
989 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
990 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
991 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
992 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
993 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
994 -INPUT /usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
995 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
996 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
997 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
998 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
999 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1000 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1001 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1002 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1003 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1004 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1005 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty  
1006 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1007 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1008 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1009 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1010 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1011 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1012 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1013 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1014 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1015 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1016 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty  
1017 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1018 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1019 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1020 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1021 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1022 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1023 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1024 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1025 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1026 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1027 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty  
1028 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1029 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1030 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1031 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1032 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1033 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1034 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1035 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1036 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1037 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1038 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty  
1039 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1040 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1041 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1042 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1043 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1044 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1045 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1046 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1047 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1048 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1049 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
1050 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamericonbook.pdf  
1051 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamericonbook.20.pdf  
1052 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamericonarticle.pdf  
1053 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamericonarticle.20.pdf  
1054 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamericononline.pdf  
1055 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamericononline.20.pdf  
1056 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1057 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1058 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1059 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1060 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1061 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1062 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1063 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1064 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1065 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1066 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty  
1067 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1068 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1069 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1070 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1071 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1072 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1073 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1074 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1075 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1076 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1077 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty  
1078 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1079 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1080 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1081 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1082 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1083 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1084 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1085 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1086 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1087 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1088 -INPUT /usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty  
1089 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1090 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1091 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1092 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1093 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1094 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1095 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1096 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1097 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1098 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1099 -INPUT /usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
1100 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
1101 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1102 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1103 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1104 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1105 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1106 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1107 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1108 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1109 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1110 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1111 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.sty  
1112 -INPUT /usr/share/texmf-dist/tex/generic/xstring/xstring.tex  
1113 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
1114 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1115 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1116 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1117 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1118 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1119 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1120 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1121 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1122 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1123 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1124 -INPUT /usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
1125 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
1126 -INPUT /usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
1127 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
1128 -INPUT /usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
1129 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
1130 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1131 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1132 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1133 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1134 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1135 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1136 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1137 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1138 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1139 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1140 -INPUT /usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
1141 -INPUT /usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
1142 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1143 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1144 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1145 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1146 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1147 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1148 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1149 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1150 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1151 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1152 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1153 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1154 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1155 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1156 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1157 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1158 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1159 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1160 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1161 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1162 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1163 -INPUT /usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
1164 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1165 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1166 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1167 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1168 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1169 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1170 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1171 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1172 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1173 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1174 -INPUT /usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
1175 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1176 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1177 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1178 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1179 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1180 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1181 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1182 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1183 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1184 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1185 -INPUT /usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
1186 -INPUT /usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
1187 -INPUT ./00_PASP.log  
1188 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1189 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1190 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1191 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1192 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1193 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1194 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1195 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1196 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1197 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1198 -INPUT /usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
1199 -INPUT /usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
1200 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1201 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1202 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1203 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1204 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1205 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1206 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1207 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1208 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1209 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1210 -INPUT /usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty  
1211 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1212 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1213 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1214 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1215 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1216 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1217 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1218 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1219 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1220 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1221 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
1222 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
1223 -INPUT /usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty  
1224 -INPUT /usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex  
1225 -INPUT /usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex  
1226 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1227 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1228 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1229 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1230 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1231 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1232 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1233 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1234 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1235 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1236 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
1237 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
1238 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1239 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1240 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1241 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1242 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1243 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1244 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1245 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1246 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1247 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1248 -INPUT /usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
1249 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
1250 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1251 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1252 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1253 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1254 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1255 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1256 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1257 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1258 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1259 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1260 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty  
1261 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty  
1262 -INPUT /usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty  
1263 -INPUT /usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty  
1264 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex  
1265 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex  
1266 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex  
1267 -INPUT /usr/share/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex  
1268 -INPUT /usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex  
1269 -INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex  
1270 -INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex  
1271 -INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex  
1272 -INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex  
1273 -INPUT /usr/share/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex  
1274 -INPUT /usr/share/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex  
1275 -INPUT /usr/share/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex  
1276 -INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex  
1277 -INPUT /usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex  
1278 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1279 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1280 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1281 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1282 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1283 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1284 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1285 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1286 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1287 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1288 -INPUT /usr/share/texmf-dist/tex/latex/commath/commath.sty  
1289 -INPUT /usr/share/texmf-dist/tex/latex/base/ifthen.sty  
1290 -INPUT /usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
1291 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
1292 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1293 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1294 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1295 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1296 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1297 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1298 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1299 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1300 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1301 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1302 -INPUT /usr/share/texmf-dist/tex/latex/base/fontenc.sty  
1303 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmss.fd  
1304 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmss.fd  
1305 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmss.fd  
1306 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmss.fd  
1307 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss10.tfm  
1308 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
1309 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
1310 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1311 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1312 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1313 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1314 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1315 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1316 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1317 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1318 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1319 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1320 -INPUT /usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
1321 -INPUT ./00_PASP.aux  
1322 -INPUT 00_PASP.aux  
1323 -INPUT 00_PASP.aux  
1324 -OUTPUT 00_PASP.aux  
1325 -INPUT /usr/share/texmf-dist/tex/latex/base/ts1cmr.fd  
1326 -INPUT /usr/share/texmf-dist/tex/latex/base/ts1cmr.fd  
1327 -INPUT /usr/share/texmf-dist/tex/latex/base/ts1cmr.fd  
1328 -INPUT /usr/share/texmf-dist/tex/latex/base/ts1cmr.fd  
1329 -INPUT /usr/share/texmf-dist/tex/latex/graphics/color.sty  
1330 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1331 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1332 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1333 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1334 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1335 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1336 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1337 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1338 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1339 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1340 -INPUT /usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
1341 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1342 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1343 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1344 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1345 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1346 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1347 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1348 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1349 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1350 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1351 -INPUT /usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
1352 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
1353 -INPUT /usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
1354 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1355 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1356 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1357 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1358 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1359 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1360 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1361 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1362 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1363 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1364 -INPUT /usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
1365 -INPUT /usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
1366 -INPUT /usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
1367 -INPUT ./00_PASP.out  
1368 -INPUT 00_PASP.out  
1369 -INPUT ./00_PASP.out  
1370 -INPUT 00_PASP.out  
1371 -INPUT ./00_PASP.out  
1372 -INPUT 00_PASP.out  
1373 -INPUT ./00_PASP.out  
1374 -INPUT 00_PASP.out  
1375 -INPUT ./00_PASP.out  
1376 -INPUT ./00_PASP.out  
1377 -OUTPUT 00_PASP.out  
1378 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict  
1379 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict  
1380 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict  
1381 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict  
1382 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-bibliography-dictionary-English.dict  
1383 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-bibliography-dictionary-English.dict  
1384 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-bibliography-dictionary-English.dict  
1385 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-bibliography-dictionary-English.dict  
1386 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-environment-dictionary-English.dict  
1387 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-environment-dictionary-English.dict  
1388 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-environment-dictionary-English.dict  
1389 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-environment-dictionary-English.dict  
1390 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-months-dictionary-English.dict  
1391 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-months-dictionary-English.dict  
1392 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-months-dictionary-English.dict  
1393 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-months-dictionary-English.dict  
1394 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-numbers-dictionary-English.dict  
1395 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-numbers-dictionary-English.dict  
1396 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-numbers-dictionary-English.dict  
1397 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-numbers-dictionary-English.dict  
1398 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-theorem-dictionary-English.dict  
1399 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-theorem-dictionary-English.dict  
1400 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-theorem-dictionary-English.dict  
1401 -INPUT /usr/share/texmf-dist/tex/latex/translator/translator-theorem-dictionary-English.dict  
1402 -INPUT ./00_PASP.nav  
1403 -INPUT 00_PASP.nav  
1404 -INPUT 00_PASP.nav  
1405 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss8.tfm  
1406 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss12.tfm  
1407 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss8.tfm  
1408 -OUTPUT 00_PASP.xdv  
1409 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss10.tfm  
1410 -INPUT ./00_PASP.toc  
1411 -INPUT 00_PASP.toc  
1412 -INPUT 00_PASP.toc  
1413 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss8.tfm  
1414 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmss10.tfm  
1415 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmss8.tfm  
1416 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmss8.tfm  
1417 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmmi10.tfm  
1418 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmmi8.tfm  
1419 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmmi6.tfm  
1420 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmsy10.tfm  
1421 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmsy8.tfm  
1422 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmsy6.tfm  
1423 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmex10.tfm  
1424 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex8.tfm  
1425 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm  
1426 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd  
1427 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd  
1428 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd  
1429 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd  
1430 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm  
1431 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm  
1432 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm  
1433 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd  
1434 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd  
1435 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd  
1436 -INPUT /usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd  
1437 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm  
1438 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm  
1439 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm  
1440 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso10.tfm  
1441 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso8.tfm  
1442 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso8.tfm  
1443 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmssbx10.tfm  
1444 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmr.fd  
1445 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmr.fd  
1446 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmr.fd  
1447 -INPUT /usr/share/texmf-dist/tex/latex/lm/t1lmr.fd  
1448 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr10.tfm  
1449 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr8.tfm  
1450 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr6.tfm  
1451 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmss10.tfm  
1452 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmss8.tfm  
1453 -INPUT /usr/share/texmf-dist/fonts/tfm/public/cm/cmss8.tfm  
1454 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr10.tfm  
1455 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr7.tfm  
1456 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmr5.tfm  
1457 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm  
1458 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmex7.tfm  
1459 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam10.tfm  
1460 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam7.tfm  
1461 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msam5.tfm  
1462 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm10.tfm  
1463 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm7.tfm  
1464 -INPUT /usr/share/texmf-dist/fonts/tfm/public/amsfonts/symbols/msbm5.tfm  
1465 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss8.tfm  
1466 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss8.tfm  
1467 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso10.tfm  
1468 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso8.tfm  
1469 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmsso8.tfm  
1470 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmss12.tfm  
1471 -INPUT ./00_PASP.toc  
1472 -INPUT 00_PASP.toc  
1473 -INPUT 00_PASP.toc  
1474 -INPUT /usr/share/texmf-dist/fonts/tfm/public/lm/ec-lmssbx10.tfm  
1475 -INPUT ./00_PASP.toc  
1476 -INPUT 00_PASP.toc  
1477 -INPUT 00_PASP.toc  
1478 -INPUT ./00_PASP.toc  
1479 -INPUT 00_PASP.toc  
1480 -INPUT 00_PASP.toc  
1481 -INPUT ./Pabc_alpha03.pdf  
1482 -INPUT ./Pabc_alpha03.pdf  
1483 -INPUT Pabc_alpha03.pdf  
1484 -INPUT ./00_PASP.toc  
1485 -INPUT 00_PASP.toc  
1486 -INPUT 00_PASP.toc  
1487 -INPUT ./00_PASP.toc  
1488 -INPUT 00_PASP.toc  
1489 -INPUT 00_PASP.toc  
1490 -INPUT ./00_PASP.toc  
1491 -INPUT 00_PASP.toc  
1492 -INPUT 00_PASP.toc  
1493 -OUTPUT 00_PASP.nav  
1494 -OUTPUT 00_PASP.toc  
1495 -OUTPUT 00_PASP.snm  
1496 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
1497 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
1498 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
1499 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
1500 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
1501 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
1502 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
1503 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
1504 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
1505 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
1506 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
1507 -INPUT /usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
1508 -INPUT 00_PASP.aux  
1509 -INPUT ./00_PASP.out  
1510 -INPUT ./00_PASP.out  
text/00_PASP.log
View file @237d62b
@@ -1,893 +0,0 @@ @@ -1,893 +0,0 @@
1 -This is XeTeX, Version 3.141592653-2.6-0.999994 (TeX Live 2022/Arch Linux) (preloaded format=xelatex 2022.11.5) 9 NOV 2022 16:43  
2 -entering extended mode  
3 - \write18 enabled.  
4 - file:line:error style messages enabled.  
5 - %&-line parsing enabled.  
6 -**/home/fc/sci/projetos/zugzwang/text/00_PASP.tex  
7 -(/home/fc/sci/projetos/zugzwang/text/00_PASP.tex  
8 -LaTeX2e <2021-11-15> patch level 1  
9 -L3 programming layer <2022-04-10> (/usr/share/texmf-dist/tex/latex/beamer/beamer.cls  
10 -Document Class: beamer 2022/02/08 v3.66 A class for typesetting presentations  
11 -(/usr/share/texmf-dist/tex/latex/beamer/beamerbasemodes.sty (/usr/share/texmf-dist/tex/latex/etoolbox/etoolbox.sty  
12 -Package: etoolbox 2020/10/05 v2.5k e-TeX tools for LaTeX (JAW)  
13 -\etb@tempcnta=\count181  
14 -)  
15 -\beamer@tempbox=\box50  
16 -\beamer@tempcount=\count182  
17 -\c@beamerpauses=\count183  
18 - (/usr/share/texmf-dist/tex/latex/beamer/beamerbasedecode.sty  
19 -\beamer@slideinframe=\count184  
20 -\beamer@minimum=\count185  
21 -\beamer@decode@box=\box51  
22 -)  
23 -\beamer@commentbox=\box52  
24 -\beamer@modecount=\count186  
25 -) (/usr/share/texmf-dist/tex/generic/iftex/iftex.sty  
26 -Package: iftex 2022/02/03 v1.0f TeX engine tests  
27 -)  
28 -\headdp=\dimen138  
29 -\footheight=\dimen139  
30 -\sidebarheight=\dimen140  
31 -\beamer@tempdim=\dimen141  
32 -\beamer@finalheight=\dimen142  
33 -\beamer@animht=\dimen143  
34 -\beamer@animdp=\dimen144  
35 -\beamer@animwd=\dimen145  
36 -\beamer@leftmargin=\dimen146  
37 -\beamer@rightmargin=\dimen147  
38 -\beamer@leftsidebar=\dimen148  
39 -\beamer@rightsidebar=\dimen149  
40 -\beamer@boxsize=\dimen150  
41 -\beamer@vboxoffset=\dimen151  
42 -\beamer@descdefault=\dimen152  
43 -\beamer@descriptionwidth=\dimen153  
44 -\beamer@lastskip=\skip47  
45 -\beamer@areabox=\box53  
46 -\beamer@animcurrent=\box54  
47 -\beamer@animshowbox=\box55  
48 -\beamer@sectionbox=\box56  
49 -\beamer@logobox=\box57  
50 -\beamer@linebox=\box58  
51 -\beamer@sectioncount=\count187  
52 -\beamer@subsubsectionmax=\count188  
53 -\beamer@subsectionmax=\count189  
54 -\beamer@sectionmax=\count190  
55 -\beamer@totalheads=\count191  
56 -\beamer@headcounter=\count192  
57 -\beamer@partstartpage=\count193  
58 -\beamer@sectionstartpage=\count194  
59 -\beamer@subsectionstartpage=\count195  
60 -\beamer@animationtempa=\count196  
61 -\beamer@animationtempb=\count197  
62 -\beamer@xpos=\count198  
63 -\beamer@ypos=\count199  
64 -\beamer@ypos@offset=\count266  
65 -\beamer@showpartnumber=\count267  
66 -\beamer@currentsubsection=\count268  
67 -\beamer@coveringdepth=\count269  
68 -\beamer@sectionadjust=\count270  
69 -\beamer@toclastsection=\count271  
70 -\beamer@tocsectionnumber=\count272  
71 - (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseoptions.sty (/usr/share/texmf-dist/tex/latex/graphics/keyval.sty  
72 -Package: keyval 2014/10/28 v1.15 key=value parser (DPC)  
73 -\KV@toks@=\toks16  
74 -))  
75 -\beamer@paperwidth=\skip48  
76 -\beamer@paperheight=\skip49  
77 - (/usr/share/texmf-dist/tex/latex/geometry/geometry.sty  
78 -Package: geometry 2020/01/02 v5.9 Page Geometry  
79 - (/usr/share/texmf-dist/tex/generic/iftex/ifvtex.sty  
80 -Package: ifvtex 2019/10/25 v1.7 ifvtex legacy package. Use iftex instead.  
81 -)  
82 -\Gm@cnth=\count273  
83 -\Gm@cntv=\count274  
84 -\c@Gm@tempcnt=\count275  
85 -\Gm@bindingoffset=\dimen154  
86 -\Gm@wd@mp=\dimen155  
87 -\Gm@odd@mp=\dimen156  
88 -\Gm@even@mp=\dimen157  
89 -\Gm@layoutwidth=\dimen158  
90 -\Gm@layoutheight=\dimen159  
91 -\Gm@layouthoffset=\dimen160  
92 -\Gm@layoutvoffset=\dimen161  
93 -\Gm@dimlist=\toks17  
94 -) (/usr/share/texmf-dist/tex/latex/pgf/math/pgfmath.sty (/usr/share/texmf-dist/tex/latex/pgf/utilities/pgfrcs.sty (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common.tex  
95 -\pgfutil@everybye=\toks18  
96 -\pgfutil@tempdima=\dimen162  
97 -\pgfutil@tempdimb=\dimen163  
98 - (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-common-lists.tex)) (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfutil-latex.def  
99 -\pgfutil@abb=\box59  
100 -) (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfrcs.code.tex (/usr/share/texmf-dist/tex/generic/pgf/pgf.revision.tex)  
101 -Package: pgfrcs 2021/05/15 v3.1.9a (3.1.9a)  
102 -)) (/usr/share/texmf-dist/tex/latex/pgf/utilities/pgfkeys.sty (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex  
103 -\pgfkeys@pathtoks=\toks19  
104 -\pgfkeys@temptoks=\toks20  
105 - (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeysfiltered.code.tex  
106 -\pgfkeys@tmptoks=\toks21  
107 -))) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathcalc.code.tex (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathutil.code.tex  
108 -\pgf@x=\dimen164  
109 -\pgf@xa=\dimen165  
110 -\pgf@xb=\dimen166  
111 -\pgf@xc=\dimen167  
112 -\pgf@y=\dimen168  
113 -\pgf@ya=\dimen169  
114 -\pgf@yb=\dimen170  
115 -\pgf@yc=\dimen171  
116 -\c@pgf@counta=\count276  
117 -\c@pgf@countb=\count277  
118 -\c@pgf@countc=\count278  
119 -\c@pgf@countd=\count279  
120 -) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathparser.code.tex  
121 -\pgfmath@dimen=\dimen172  
122 -\pgfmath@count=\count280  
123 -\pgfmath@box=\box60  
124 -\pgfmath@toks=\toks22  
125 -\pgfmath@stack@operand=\toks23  
126 -\pgfmath@stack@operation=\toks24  
127 -) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.code.tex (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.basic.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.trigonometric.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.random.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.comparison.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.base.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.round.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.misc.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfunctions.integerarithmetics.code.tex))) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmathfloat.code.tex  
128 -\c@pgfmathroundto@lastzeros=\count281  
129 -))) (/usr/share/texmf-dist/tex/latex/base/size11.clo  
130 -File: size11.clo 2021/10/04 v1.4n Standard LaTeX file (size option)  
131 -) (/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgfcore.sty (/usr/share/texmf-dist/tex/latex/graphics/graphicx.sty  
132 -Package: graphicx 2021/09/16 v1.2d Enhanced LaTeX Graphics (DPC,SPQR)  
133 - (/usr/share/texmf-dist/tex/latex/graphics/graphics.sty  
134 -Package: graphics 2021/03/04 v1.4d Standard LaTeX Graphics (DPC,SPQR)  
135 - (/usr/share/texmf-dist/tex/latex/graphics/trig.sty  
136 -Package: trig 2021/08/11 v1.11 sin cos tan (DPC)  
137 -) (/usr/share/texmf-dist/tex/latex/graphics-cfg/graphics.cfg  
138 -File: graphics.cfg 2016/06/04 v1.11 sample graphics configuration  
139 -)  
140 -Package graphics Info: Driver file: xetex.def on input line 107.  
141 - (/usr/share/texmf-dist/tex/latex/graphics-def/xetex.def  
142 -File: xetex.def 2022/04/12 v5.0l Graphics/color driver for xetex  
143 -))  
144 -\Gin@req@height=\dimen173  
145 -\Gin@req@width=\dimen174  
146 -) (/usr/share/texmf-dist/tex/latex/pgf/systemlayer/pgfsys.sty (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys.code.tex  
147 -Package: pgfsys 2021/05/15 v3.1.9a (3.1.9a)  
148 - (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgfkeys.code.tex)  
149 -\pgf@x=\dimen175  
150 -\pgf@y=\dimen176  
151 -\pgf@xa=\dimen177  
152 -\pgf@ya=\dimen178  
153 -\pgf@xb=\dimen179  
154 -\pgf@yb=\dimen180  
155 -\pgf@xc=\dimen181  
156 -\pgf@yc=\dimen182  
157 -\pgf@xd=\dimen183  
158 -\pgf@yd=\dimen184  
159 -\w@pgf@writea=\write3  
160 -\r@pgf@reada=\read2  
161 -\c@pgf@counta=\count282  
162 -\c@pgf@countb=\count283  
163 -\c@pgf@countc=\count284  
164 -\c@pgf@countd=\count285  
165 -\t@pgf@toka=\toks25  
166 -\t@pgf@tokb=\toks26  
167 -\t@pgf@tokc=\toks27  
168 -\pgf@sys@id@count=\count286  
169 - (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgf.cfg  
170 -File: pgf.cfg 2021/05/15 v3.1.9a (3.1.9a)  
171 -)  
172 -Driver file for pgf: pgfsys-xetex.def  
173 - (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-xetex.def  
174 -File: pgfsys-xetex.def 2021/05/15 v3.1.9a (3.1.9a)  
175 - (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-dvipdfmx.def  
176 -File: pgfsys-dvipdfmx.def 2021/05/15 v3.1.9a (3.1.9a)  
177 - (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsys-common-pdf.def  
178 -File: pgfsys-common-pdf.def 2021/05/15 v3.1.9a (3.1.9a)  
179 -)  
180 -\pgfsys@objnum=\count287  
181 -))) (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsyssoftpath.code.tex  
182 -File: pgfsyssoftpath.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
183 -\pgfsyssoftpath@smallbuffer@items=\count288  
184 -\pgfsyssoftpath@bigbuffer@items=\count289  
185 -) (/usr/share/texmf-dist/tex/generic/pgf/systemlayer/pgfsysprotocol.code.tex  
186 -File: pgfsysprotocol.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
187 -)) (/usr/share/texmf-dist/tex/latex/xcolor/xcolor.sty  
188 -Package: xcolor 2021/10/31 v2.13 LaTeX color extensions (UK)  
189 - (/usr/share/texmf-dist/tex/latex/graphics-cfg/color.cfg  
190 -File: color.cfg 2016/01/02 v1.6 sample color configuration  
191 -)  
192 -Package xcolor Info: Driver file: xetex.def on input line 227.  
193 -Package xcolor Info: Model `cmy' substituted by `cmy0' on input line 1352.  
194 -Package xcolor Info: Model `RGB' extended on input line 1368.  
195 -Package xcolor Info: Model `HTML' substituted by `rgb' on input line 1370.  
196 -Package xcolor Info: Model `Hsb' substituted by `hsb' on input line 1371.  
197 -Package xcolor Info: Model `tHsb' substituted by `hsb' on input line 1372.  
198 -Package xcolor Info: Model `HSB' substituted by `hsb' on input line 1373.  
199 -Package xcolor Info: Model `Gray' substituted by `gray' on input line 1374.  
200 -Package xcolor Info: Model `wave' substituted by `hsb' on input line 1375.  
201 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcore.code.tex  
202 -Package: pgfcore 2021/05/15 v3.1.9a (3.1.9a)  
203 - (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/math/pgfint.code.tex) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepoints.code.tex  
204 -File: pgfcorepoints.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
205 -\pgf@picminx=\dimen185  
206 -\pgf@picmaxx=\dimen186  
207 -\pgf@picminy=\dimen187  
208 -\pgf@picmaxy=\dimen188  
209 -\pgf@pathminx=\dimen189  
210 -\pgf@pathmaxx=\dimen190  
211 -\pgf@pathminy=\dimen191  
212 -\pgf@pathmaxy=\dimen192  
213 -\pgf@xx=\dimen193  
214 -\pgf@xy=\dimen194  
215 -\pgf@yx=\dimen195  
216 -\pgf@yy=\dimen196  
217 -\pgf@zx=\dimen197  
218 -\pgf@zy=\dimen198  
219 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathconstruct.code.tex  
220 -File: pgfcorepathconstruct.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
221 -\pgf@path@lastx=\dimen199  
222 -\pgf@path@lasty=\dimen256  
223 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathusage.code.tex  
224 -File: pgfcorepathusage.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
225 -\pgf@shorten@end@additional=\dimen257  
226 -\pgf@shorten@start@additional=\dimen258  
227 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorescopes.code.tex  
228 -File: pgfcorescopes.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
229 -\pgfpic=\box61  
230 -\pgf@hbox=\box62  
231 -\pgf@layerbox@main=\box63  
232 -\pgf@picture@serial@count=\count290  
233 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoregraphicstate.code.tex  
234 -File: pgfcoregraphicstate.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
235 -\pgflinewidth=\dimen259  
236 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransformations.code.tex  
237 -File: pgfcoretransformations.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
238 -\pgf@pt@x=\dimen260  
239 -\pgf@pt@y=\dimen261  
240 -\pgf@pt@temp=\dimen262  
241 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorequick.code.tex  
242 -File: pgfcorequick.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
243 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreobjects.code.tex  
244 -File: pgfcoreobjects.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
245 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepathprocessing.code.tex  
246 -File: pgfcorepathprocessing.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
247 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorearrows.code.tex  
248 -File: pgfcorearrows.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
249 -\pgfarrowsep=\dimen263  
250 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreshade.code.tex  
251 -File: pgfcoreshade.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
252 -\pgf@max=\dimen264  
253 -\pgf@sys@shading@range@num=\count291  
254 -\pgf@shadingcount=\count292  
255 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreimage.code.tex  
256 -File: pgfcoreimage.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
257 - (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoreexternal.code.tex  
258 -File: pgfcoreexternal.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
259 -\pgfexternal@startupbox=\box64  
260 -)) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorelayers.code.tex  
261 -File: pgfcorelayers.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
262 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcoretransparency.code.tex  
263 -File: pgfcoretransparency.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
264 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorepatterns.code.tex  
265 -File: pgfcorepatterns.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
266 -) (/usr/share/texmf-dist/tex/generic/pgf/basiclayer/pgfcorerdf.code.tex  
267 -File: pgfcorerdf.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
268 -))) (/usr/share/texmf-dist/tex/latex/pgf/utilities/xxcolor.sty  
269 -Package: xxcolor 2003/10/24 ver 0.1  
270 -\XC@nummixins=\count293  
271 -\XC@countmixins=\count294  
272 -) (/usr/share/texmf-dist/tex/latex/base/atbegshi-ltx.sty  
273 -Package: atbegshi-ltx 2021/01/10 v1.0c Emulation of the original atbegshi  
274 -package with kernel methods  
275 -) (/usr/share/texmf-dist/tex/latex/hyperref/hyperref.sty  
276 -Package: hyperref 2022-02-21 v7.00n Hypertext links for LaTeX  
277 - (/usr/share/texmf-dist/tex/generic/ltxcmds/ltxcmds.sty  
278 -Package: ltxcmds 2020-05-10 v1.25 LaTeX kernel commands for general use (HO)  
279 -) (/usr/share/texmf-dist/tex/generic/pdftexcmds/pdftexcmds.sty  
280 -Package: pdftexcmds 2020-06-27 v0.33 Utility functions of pdfTeX for LuaTeX (HO)  
281 - (/usr/share/texmf-dist/tex/generic/infwarerr/infwarerr.sty  
282 -Package: infwarerr 2019/12/03 v1.5 Providing info/warning/error messages (HO)  
283 -)  
284 -Package pdftexcmds Info: \pdf@primitive is available.  
285 -Package pdftexcmds Info: \pdf@ifprimitive is available.  
286 -Package pdftexcmds Info: \pdfdraftmode not found.  
287 -) (/usr/share/texmf-dist/tex/generic/kvsetkeys/kvsetkeys.sty  
288 -Package: kvsetkeys 2019/12/15 v1.18 Key value parser (HO)  
289 -) (/usr/share/texmf-dist/tex/generic/kvdefinekeys/kvdefinekeys.sty  
290 -Package: kvdefinekeys 2019-12-19 v1.6 Define keys (HO)  
291 -) (/usr/share/texmf-dist/tex/generic/pdfescape/pdfescape.sty  
292 -Package: pdfescape 2019/12/09 v1.15 Implements pdfTeX's escape features (HO)  
293 -) (/usr/share/texmf-dist/tex/latex/hycolor/hycolor.sty  
294 -Package: hycolor 2020-01-27 v1.10 Color options for hyperref/bookmark (HO)  
295 -) (/usr/share/texmf-dist/tex/latex/letltxmacro/letltxmacro.sty  
296 -Package: letltxmacro 2019/12/03 v1.6 Let assignment for LaTeX macros (HO)  
297 -) (/usr/share/texmf-dist/tex/latex/auxhook/auxhook.sty  
298 -Package: auxhook 2019-12-17 v1.6 Hooks for auxiliary files (HO)  
299 -) (/usr/share/texmf-dist/tex/latex/kvoptions/kvoptions.sty  
300 -Package: kvoptions 2020-10-07 v3.14 Key value format for package options (HO)  
301 -)  
302 -\@linkdim=\dimen265  
303 -\Hy@linkcounter=\count295  
304 -\Hy@pagecounter=\count296  
305 - (/usr/share/texmf-dist/tex/latex/hyperref/pd1enc.def  
306 -File: pd1enc.def 2022-02-21 v7.00n Hyperref: PDFDocEncoding definition (HO)  
307 -) (/usr/share/texmf-dist/tex/generic/intcalc/intcalc.sty  
308 -Package: intcalc 2019/12/15 v1.3 Expandable calculations with integers (HO)  
309 -) (/usr/share/texmf-dist/tex/generic/etexcmds/etexcmds.sty  
310 -Package: etexcmds 2019/12/15 v1.7 Avoid name clashes with e-TeX commands (HO)  
311 -)  
312 -\Hy@SavedSpaceFactor=\count297  
313 - (/usr/share/texmf-dist/tex/latex/hyperref/puenc.def  
314 -File: puenc.def 2022-02-21 v7.00n Hyperref: PDF Unicode definition (HO)  
315 -)  
316 -Package hyperref Info: Option `bookmarks' set `true' on input line 4018.  
317 -Package hyperref Info: Option `bookmarksopen' set `true' on input line 4018.  
318 -Package hyperref Info: Option `implicit' set `false' on input line 4018.  
319 -Package hyperref Info: Hyper figures OFF on input line 4137.  
320 -Package hyperref Info: Link nesting OFF on input line 4142.  
321 -Package hyperref Info: Hyper index ON on input line 4145.  
322 -Package hyperref Info: Plain pages OFF on input line 4152.  
323 -Package hyperref Info: Backreferencing OFF on input line 4157.  
324 -Package hyperref Info: Implicit mode OFF; no redefinition of LaTeX internals.  
325 -Package hyperref Info: Bookmarks ON on input line 4390.  
326 -\c@Hy@tempcnt=\count298  
327 - (/usr/share/texmf-dist/tex/latex/url/url.sty  
328 -\Urlmuskip=\muskip16  
329 -Package: url 2013/09/16 ver 3.4 Verb mode for urls, etc.  
330 -)  
331 -LaTeX Info: Redefining \url on input line 4749.  
332 -\XeTeXLinkMargin=\dimen266  
333 - (/usr/share/texmf-dist/tex/generic/bitset/bitset.sty  
334 -Package: bitset 2019/12/09 v1.3 Handle bit-vector datatype (HO)  
335 - (/usr/share/texmf-dist/tex/generic/bigintcalc/bigintcalc.sty  
336 -Package: bigintcalc 2019/12/15 v1.5 Expandable calculations on big integers (HO)  
337 -))  
338 -\Fld@menulength=\count299  
339 -\Field@Width=\dimen267  
340 -\Fld@charsize=\dimen268  
341 -Package hyperref Info: Hyper figures OFF on input line 6027.  
342 -Package hyperref Info: Link nesting OFF on input line 6032.  
343 -Package hyperref Info: Hyper index ON on input line 6035.  
344 -Package hyperref Info: backreferencing OFF on input line 6042.  
345 -Package hyperref Info: Link coloring OFF on input line 6047.  
346 -Package hyperref Info: Link coloring with OCG OFF on input line 6052.  
347 -Package hyperref Info: PDF/A mode OFF on input line 6057.  
348 -LaTeX Info: Redefining \ref on input line 6097.  
349 -LaTeX Info: Redefining \pageref on input line 6101.  
350 -\Hy@abspage=\count300  
351 -  
352 -  
353 -Package hyperref Message: Stopped early.  
354 -  
355 -)  
356 -Package hyperref Info: Driver (autodetected): hxetex.  
357 - (/usr/share/texmf-dist/tex/latex/hyperref/hxetex.def  
358 -File: hxetex.def 2022-02-21 v7.00n Hyperref driver for XeTeX  
359 - (/usr/share/texmf-dist/tex/generic/stringenc/stringenc.sty  
360 -Package: stringenc 2019/11/29 v1.12 Convert strings between diff. encodings (HO)  
361 -)  
362 -\pdfm@box=\box65  
363 -\c@Hy@AnnotLevel=\count301  
364 -\HyField@AnnotCount=\count302  
365 -\Fld@listcount=\count303  
366 -\c@bookmark@seq@number=\count304  
367 - (/usr/share/texmf-dist/tex/latex/rerunfilecheck/rerunfilecheck.sty  
368 -Package: rerunfilecheck 2019/12/05 v1.9 Rerun checks for auxiliary files (HO)  
369 - (/usr/share/texmf-dist/tex/latex/base/atveryend-ltx.sty  
370 -Package: atveryend-ltx 2020/08/19 v1.0a Emulation of the original atveryend package  
371 -with kernel methods  
372 -) (/usr/share/texmf-dist/tex/generic/uniquecounter/uniquecounter.sty  
373 -Package: uniquecounter 2019/12/15 v1.4 Provide unlimited unique counter (HO)  
374 -)  
375 -Package uniquecounter Info: New unique counter `rerunfilecheck' on input line 286.  
376 -)) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaserequires.sty (/usr/share/texmf-dist/tex/latex/beamer/beamerbasecompatibility.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasefont.sty (/usr/share/texmf-dist/tex/latex/amsfonts/amssymb.sty  
377 -Package: amssymb 2013/01/14 v3.01 AMS font symbols  
378 - (/usr/share/texmf-dist/tex/latex/amsfonts/amsfonts.sty  
379 -Package: amsfonts 2013/01/14 v3.01 Basic AMSFonts support  
380 -\@emptytoks=\toks28  
381 -\symAMSa=\mathgroup4  
382 -\symAMSb=\mathgroup5  
383 -LaTeX Font Info: Redeclaring math symbol \hbar on input line 98.  
384 -LaTeX Font Info: Overwriting math alphabet `\mathfrak' in version `bold'  
385 -(Font) U/euf/m/n --> U/euf/b/n on input line 106.  
386 -)) (/usr/share/texmf-dist/tex/latex/sansmathaccent/sansmathaccent.sty  
387 -Package: sansmathaccent 2020/01/31  
388 - (/usr/share/texmf-dist/tex/latex/koma-script/scrlfile.sty  
389 -Package: scrlfile 2021/11/13 v3.35 KOMA-Script package (file load hooks)  
390 - (/usr/share/texmf-dist/tex/latex/koma-script/scrlfile-hook.sty  
391 -Package: scrlfile-hook 2021/11/13 v3.35 KOMA-Script package (using LaTeX hooks)  
392 - (/usr/share/texmf-dist/tex/latex/koma-script/scrlogo.sty  
393 -Package: scrlogo 2021/11/13 v3.35 KOMA-Script package (logo)  
394 -))))) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasetranslator.sty (/usr/share/texmf-dist/tex/latex/translator/translator.sty  
395 -Package: translator 2021-05-31 v1.12d Easy translation of strings in LaTeX  
396 -)) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasemisc.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasetwoscreens.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseoverlay.sty  
397 -\beamer@argscount=\count305  
398 -\beamer@lastskipcover=\skip50  
399 -\beamer@trivlistdepth=\count306  
400 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasetitle.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasesection.sty  
401 -\c@lecture=\count307  
402 -\c@part=\count308  
403 -\c@section=\count309  
404 -\c@subsection=\count310  
405 -\c@subsubsection=\count311  
406 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseframe.sty  
407 -\beamer@framebox=\box66  
408 -\beamer@frametitlebox=\box67  
409 -\beamer@zoombox=\box68  
410 -\beamer@zoomcount=\count312  
411 -\beamer@zoomframecount=\count313  
412 -\beamer@frametextheight=\dimen269  
413 -\c@subsectionslide=\count314  
414 -\beamer@frametopskip=\skip51  
415 -\beamer@framebottomskip=\skip52  
416 -\beamer@frametopskipautobreak=\skip53  
417 -\beamer@framebottomskipautobreak=\skip54  
418 -\beamer@envbody=\toks29  
419 -\framewidth=\dimen270  
420 -\c@framenumber=\count315  
421 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseverbatim.sty  
422 -\beamer@verbatimfileout=\write4  
423 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseframesize.sty  
424 -\beamer@splitbox=\box69  
425 -\beamer@autobreakcount=\count316  
426 -\beamer@autobreaklastheight=\dimen271  
427 -\beamer@frametitletoks=\toks30  
428 -\beamer@framesubtitletoks=\toks31  
429 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseframecomponents.sty  
430 -\beamer@footins=\box70  
431 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasecolor.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasenotes.sty  
432 -\beamer@frameboxcopy=\box71  
433 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasetoc.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasetemplates.sty  
434 -\beamer@sbttoks=\toks32  
435 - (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseauxtemplates.sty (/usr/share/texmf-dist/tex/latex/beamer/beamerbaseboxes.sty  
436 -\bmb@box=\box72  
437 -\bmb@colorbox=\box73  
438 -\bmb@boxwidth=\dimen272  
439 -\bmb@boxheight=\dimen273  
440 -\bmb@prevheight=\dimen274  
441 -\bmb@temp=\dimen275  
442 -\bmb@dima=\dimen276  
443 -\bmb@dimb=\dimen277  
444 -\bmb@prevheight=\dimen278  
445 -)  
446 -\beamer@blockheadheight=\dimen279  
447 -)) (/usr/share/texmf-dist/tex/latex/beamer/beamerbaselocalstructure.sty (/usr/share/texmf-dist/tex/latex/tools/enumerate.sty  
448 -Package: enumerate 2015/07/23 v3.00 enumerate extensions (DPC)  
449 -\@enLab=\toks33  
450 -)  
451 -\beamer@bibiconwidth=\skip55  
452 -\c@figure=\count317  
453 -\c@table=\count318  
454 -\abovecaptionskip=\skip56  
455 -\belowcaptionskip=\skip57  
456 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasenavigation.sty  
457 -\beamer@section@min@dim=\dimen280  
458 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasetheorems.sty (/usr/share/texmf-dist/tex/latex/amsmath/amsmath.sty  
459 -Package: amsmath 2021/10/15 v2.17l AMS math features  
460 -\@mathmargin=\skip58  
461 -  
462 -For additional information on amsmath, use the `?' option.  
463 -(/usr/share/texmf-dist/tex/latex/amsmath/amstext.sty  
464 -Package: amstext 2021/08/26 v2.01 AMS text  
465 - (/usr/share/texmf-dist/tex/latex/amsmath/amsgen.sty  
466 -File: amsgen.sty 1999/11/30 v2.0 generic functions  
467 -\@emptytoks=\toks34  
468 -\ex@=\dimen281  
469 -)) (/usr/share/texmf-dist/tex/latex/amsmath/amsbsy.sty  
470 -Package: amsbsy 1999/11/29 v1.2d Bold Symbols  
471 -\pmbraise@=\dimen282  
472 -) (/usr/share/texmf-dist/tex/latex/amsmath/amsopn.sty  
473 -Package: amsopn 2021/08/26 v2.02 operator names  
474 -)  
475 -\inf@bad=\count319  
476 -LaTeX Info: Redefining \frac on input line 234.  
477 -\uproot@=\count320  
478 -\leftroot@=\count321  
479 -LaTeX Info: Redefining \overline on input line 399.  
480 -\classnum@=\count322  
481 -\DOTSCASE@=\count323  
482 -LaTeX Info: Redefining \ldots on input line 496.  
483 -LaTeX Info: Redefining \dots on input line 499.  
484 -LaTeX Info: Redefining \cdots on input line 620.  
485 -\Mathstrutbox@=\box74  
486 -\strutbox@=\box75  
487 -\big@size=\dimen283  
488 -LaTeX Font Info: Redeclaring font encoding OML on input line 743.  
489 -LaTeX Font Info: Redeclaring font encoding OMS on input line 744.  
490 -\macc@depth=\count324  
491 -\c@MaxMatrixCols=\count325  
492 -\dotsspace@=\muskip17  
493 -\c@parentequation=\count326  
494 -\dspbrk@lvl=\count327  
495 -\tag@help=\toks35  
496 -\row@=\count328  
497 -\column@=\count329  
498 -\maxfields@=\count330  
499 -\andhelp@=\toks36  
500 -\eqnshift@=\dimen284  
501 -\alignsep@=\dimen285  
502 -\tagshift@=\dimen286  
503 -\tagwidth@=\dimen287  
504 -\totwidth@=\dimen288  
505 -\lineht@=\dimen289  
506 -\@envbody=\toks37  
507 -\multlinegap=\skip59  
508 -\multlinetaggap=\skip60  
509 -\mathdisplay@stack=\toks38  
510 -LaTeX Info: Redefining \[ on input line 2938.  
511 -LaTeX Info: Redefining \] on input line 2939.  
512 -) (/usr/share/texmf-dist/tex/latex/amscls/amsthm.sty  
513 -Package: amsthm 2020/05/29 v2.20.6  
514 -\thm@style=\toks39  
515 -\thm@bodyfont=\toks40  
516 -\thm@headfont=\toks41  
517 -\thm@notefont=\toks42  
518 -\thm@headpunct=\toks43  
519 -\thm@preskip=\skip61  
520 -\thm@postskip=\skip62  
521 -\thm@headsep=\skip63  
522 -\dth@everypar=\toks44  
523 -)  
524 -\c@theorem=\count331  
525 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerbasethemes.sty)) (/usr/share/texmf-dist/tex/latex/beamer/beamerthemedefault.sty (/usr/share/texmf-dist/tex/latex/beamer/beamerfontthemedefault.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamercolorthemedefault.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemedefault.sty  
526 -\beamer@dima=\dimen290  
527 -\beamer@dimb=\dimen291  
528 -) (/usr/share/texmf-dist/tex/latex/beamer/beamerouterthemedefault.sty))) (/usr/share/texmf-dist/tex/latex/beamer/beamercolorthemerose.sty) (/usr/share/texmf-dist/tex/latex/beamer/beamerinnerthemecircles.sty) (/usr/share/texmf-dist/tex/latex/pdfpc/pdfpc.sty  
529 -Package: pdfpc 2021/02/06 v0.6.0 PDFPC  
530 - (/usr/share/texmf-dist/tex/generic/xstring/xstring.sty (/usr/share/texmf-dist/tex/generic/xstring/xstring.tex  
531 -\integerpart=\count332  
532 -\decimalpart=\count333  
533 -)  
534 -Package: xstring 2021/07/21 v1.84 String manipulations (CT)  
535 -) (/usr/share/texmf-dist/tex/latex/hyperxmp/hyperxmp.sty  
536 -Package: hyperxmp 2020/11/22 v5.9 Store hyperref metadata in XMP format  
537 -\hyxmp@aep@toks=\toks45  
538 - (/usr/share/texmf-dist/tex/latex/ifmtarg/ifmtarg.sty  
539 -Package: ifmtarg 2018/04/16 v1.2b check for an empty argument  
540 -) (/usr/share/texmf-dist/tex/latex/base/ifthen.sty  
541 -Package: ifthen 2020/11/24 v1.1c Standard LaTeX ifthen package (DPC)  
542 -) (/usr/share/texmf-dist/tex/latex/oberdiek/ifdraft.sty  
543 -Package: ifdraft 2016/05/16 v1.4 Detect class options draft and final (HO)  
544 -) (/usr/share/texmf-dist/tex/latex/totpages/totpages.sty  
545 -Package: totpages 2005/09/19 v2.00 Totpages Package (muewi)  
546 - (/usr/share/texmf-dist/tex/latex/everyshi/everyshi.sty  
547 -Package: everyshi 2020/11/18 v4.00 EveryShipout Package  
548 -)) (/usr/share/texmf-dist/tex/generic/iftex/ifluatex.sty  
549 -Package: ifluatex 2019/10/25 v1.5 ifluatex legacy package. Use iftex instead.  
550 -))) (/usr/share/texmf-dist/tex/latex/pgf/frontendlayer/tikz.sty (/usr/share/texmf-dist/tex/latex/pgf/basiclayer/pgf.sty  
551 -Package: pgf 2021/05/15 v3.1.9a (3.1.9a)  
552 - (/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleshapes.code.tex  
553 -File: pgfmoduleshapes.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
554 -\pgfnodeparttextbox=\box76  
555 -) (/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmoduleplot.code.tex  
556 -File: pgfmoduleplot.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
557 -) (/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-0-65.sty  
558 -Package: pgfcomp-version-0-65 2021/05/15 v3.1.9a (3.1.9a)  
559 -\pgf@nodesepstart=\dimen292  
560 -\pgf@nodesepend=\dimen293  
561 -) (/usr/share/texmf-dist/tex/latex/pgf/compatibility/pgfcomp-version-1-18.sty  
562 -Package: pgfcomp-version-1-18 2021/05/15 v3.1.9a (3.1.9a)  
563 -)) (/usr/share/texmf-dist/tex/latex/pgf/utilities/pgffor.sty (/usr/share/texmf-dist/tex/generic/pgf/utilities/pgffor.code.tex  
564 -Package: pgffor 2021/05/15 v3.1.9a (3.1.9a)  
565 - (/usr/share/texmf-dist/tex/generic/pgf/math/pgfmath.code.tex)  
566 -\pgffor@iter=\dimen294  
567 -\pgffor@skip=\dimen295  
568 -\pgffor@stack=\toks46  
569 -\pgffor@toks=\toks47  
570 -)) (/usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/tikz.code.tex  
571 -Package: tikz 2021/05/15 v3.1.9a (3.1.9a)  
572 - (/usr/share/texmf-dist/tex/generic/pgf/libraries/pgflibraryplothandlers.code.tex  
573 -File: pgflibraryplothandlers.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
574 -\pgf@plot@mark@count=\count334  
575 -\pgfplotmarksize=\dimen296  
576 -)  
577 -\tikz@lastx=\dimen297  
578 -\tikz@lasty=\dimen298  
579 -\tikz@lastxsaved=\dimen299  
580 -\tikz@lastysaved=\dimen300  
581 -\tikz@lastmovetox=\dimen301  
582 -\tikz@lastmovetoy=\dimen302  
583 -\tikzleveldistance=\dimen303  
584 -\tikzsiblingdistance=\dimen304  
585 -\tikz@figbox=\box77  
586 -\tikz@figbox@bg=\box78  
587 -\tikz@tempbox=\box79  
588 -\tikz@tempbox@bg=\box80  
589 -\tikztreelevel=\count335  
590 -\tikznumberofchildren=\count336  
591 -\tikznumberofcurrentchild=\count337  
592 -\tikz@fig@count=\count338  
593 - (/usr/share/texmf-dist/tex/generic/pgf/modules/pgfmodulematrix.code.tex  
594 -File: pgfmodulematrix.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
595 -\pgfmatrixcurrentrow=\count339  
596 -\pgfmatrixcurrentcolumn=\count340  
597 -\pgf@matrix@numberofcolumns=\count341  
598 -)  
599 -\tikz@expandcount=\count342  
600 - (/usr/share/texmf-dist/tex/generic/pgf/frontendlayer/tikz/libraries/tikzlibrarytopaths.code.tex  
601 -File: tikzlibrarytopaths.code.tex 2021/05/15 v3.1.9a (3.1.9a)  
602 -))) (/usr/share/texmf-dist/tex/latex/commath/commath.sty  
603 -Invalid UTF-8 byte or sequence at line 6 replaced by U+FFFD.  
604 -Invalid UTF-8 byte or sequence at line 9 replaced by U+FFFD.  
605 -) (/usr/share/texmf-dist/tex/latex/base/fontenc.sty  
606 -Package: fontenc 2021/04/29 v2.0v Standard LaTeX package  
607 -LaTeX Font Info: Trying to load font information for T1+lmss on input line 112.  
608 - (/usr/share/texmf-dist/tex/latex/lm/t1lmss.fd  
609 -File: t1lmss.fd 2015/05/01 v1.6.1 Font defs for Latin Modern  
610 -))  
611 -Package hyperref Info: Option `colorlinks' set `true' on input line 46.  
612 - (/usr/share/texmf-dist/tex/latex/l3backend/l3backend-xetex.def  
613 -File: l3backend-xetex.def 2022-04-14 L3 backend support: XeTeX  
614 -\l__color_backend_stack_int=\count343  
615 -\g__color_backend_stack_int=\count344  
616 -\g__graphics_track_int=\count345  
617 -\l__pdf_internal_box=\box81  
618 -\g__pdf_backend_object_int=\count346  
619 -\g__pdf_backend_annotation_int=\count347  
620 -\g__pdf_backend_link_int=\count348  
621 -) (./00_PASP.aux)  
622 -\openout1 = `00_PASP.aux'.  
623 -  
624 -LaTeX Font Info: Checking defaults for OML/cmm/m/it on input line 77.  
625 -LaTeX Font Info: ... okay on input line 77.  
626 -LaTeX Font Info: Checking defaults for OMS/cmsy/m/n on input line 77.  
627 -LaTeX Font Info: ... okay on input line 77.  
628 -LaTeX Font Info: Checking defaults for OT1/cmr/m/n on input line 77.  
629 -LaTeX Font Info: ... okay on input line 77.  
630 -LaTeX Font Info: Checking defaults for T1/cmr/m/n on input line 77.  
631 -LaTeX Font Info: ... okay on input line 77.  
632 -LaTeX Font Info: Checking defaults for TS1/cmr/m/n on input line 77.  
633 -LaTeX Font Info: Trying to load font information for TS1+cmr on input line 77.  
634 - (/usr/share/texmf-dist/tex/latex/base/ts1cmr.fd  
635 -File: ts1cmr.fd 2019/12/16 v2.5j Standard LaTeX font definitions  
636 -)  
637 -LaTeX Font Info: ... okay on input line 77.  
638 -LaTeX Font Info: Checking defaults for TU/lmr/m/n on input line 77.  
639 -LaTeX Font Info: ... okay on input line 77.  
640 -LaTeX Font Info: Checking defaults for OMX/cmex/m/n on input line 77.  
641 -LaTeX Font Info: ... okay on input line 77.  
642 -LaTeX Font Info: Checking defaults for U/cmr/m/n on input line 77.  
643 -LaTeX Font Info: ... okay on input line 77.  
644 -LaTeX Font Info: Checking defaults for PD1/pdf/m/n on input line 77.  
645 -LaTeX Font Info: ... okay on input line 77.  
646 -LaTeX Font Info: Checking defaults for PU/pdf/m/n on input line 77.  
647 -LaTeX Font Info: ... okay on input line 77.  
648 -  
649 -*geometry* driver: auto-detecting  
650 -*geometry* detected driver: xetex  
651 -*geometry* verbose mode - [ preamble ] result:  
652 -* driver: xetex  
653 -* paper: custom  
654 -* layout: <same size as paper>  
655 -* layoutoffset:(h,v)=(0.0pt,0.0pt)  
656 -* modes: includehead includefoot  
657 -* h-part:(L,W,R)=(28.45274pt, 307.28987pt, 28.45274pt)  
658 -* v-part:(T,H,B)=(0.0pt, 273.14662pt, 0.0pt)  
659 -* \paperwidth=364.19536pt  
660 -* \paperheight=273.14662pt  
661 -* \textwidth=307.28987pt  
662 -* \textheight=244.6939pt  
663 -* \oddsidemargin=-43.81725pt  
664 -* \evensidemargin=-43.81725pt  
665 -* \topmargin=-72.26999pt  
666 -* \headheight=14.22636pt  
667 -* \headsep=0.0pt  
668 -* \topskip=11.0pt  
669 -* \footskip=14.22636pt  
670 -* \marginparwidth=4.0pt  
671 -* \marginparsep=10.0pt  
672 -* \columnsep=10.0pt  
673 -* \skip\footins=10.0pt plus 4.0pt minus 2.0pt  
674 -* \hoffset=0.0pt  
675 -* \voffset=0.0pt  
676 -* \mag=1000  
677 -* \@twocolumnfalse  
678 -* \@twosidefalse  
679 -* \@mparswitchfalse  
680 -* \@reversemarginfalse  
681 -* (1in=72.27pt=25.4mm, 1cm=28.453pt)  
682 -  
683 -Package hyperref Info: Link coloring ON on input line 77.  
684 -(/usr/share/texmf-dist/tex/latex/hyperref/nameref.sty  
685 -Package: nameref 2021-04-02 v2.47 Cross-referencing by name of section  
686 - (/usr/share/texmf-dist/tex/latex/refcount/refcount.sty  
687 -Package: refcount 2019/12/15 v3.6 Data extraction from label references (HO)  
688 -) (/usr/share/texmf-dist/tex/generic/gettitlestring/gettitlestring.sty  
689 -Package: gettitlestring 2019/12/15 v1.6 Cleanup title references (HO)  
690 -)  
691 -\c@section@level=\count349  
692 -)  
693 -LaTeX Info: Redefining \ref on input line 77.  
694 -LaTeX Info: Redefining \pageref on input line 77.  
695 -LaTeX Info: Redefining \nameref on input line 77.  
696 - (./00_PASP.out) (./00_PASP.out)  
697 -\@outlinefile=\write5  
698 -\openout5 = `00_PASP.out'.  
699 -  
700 -LaTeX Font Info: Overwriting symbol font `operators' in version `normal'  
701 -(Font) OT1/cmr/m/n --> OT1/cmss/m/n on input line 77.  
702 -LaTeX Font Info: Overwriting symbol font `operators' in version `bold'  
703 -(Font) OT1/cmr/bx/n --> OT1/cmss/b/n on input line 77.  
704 -\symnumbers=\mathgroup6  
705 -\sympureletters=\mathgroup7  
706 -LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `normal'  
707 -(Font) OT1/cmss/m/n --> T1/lmr/m/n on input line 77.  
708 -LaTeX Font Info: Redeclaring math alphabet \mathbf on input line 77.  
709 -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `normal'  
710 -(Font) OT1/cmr/bx/n --> T1/lmss/b/n on input line 77.  
711 -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold'  
712 -(Font) OT1/cmr/bx/n --> T1/lmss/b/n on input line 77.  
713 -LaTeX Font Info: Redeclaring math alphabet \mathsf on input line 77.  
714 -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `normal'  
715 -(Font) OT1/cmss/m/n --> T1/lmss/m/n on input line 77.  
716 -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold'  
717 -(Font) OT1/cmss/bx/n --> T1/lmss/m/n on input line 77.  
718 -LaTeX Font Info: Redeclaring math alphabet \mathit on input line 77.  
719 -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `normal'  
720 -(Font) OT1/cmr/m/it --> T1/lmss/m/it on input line 77.  
721 -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold'  
722 -(Font) OT1/cmr/bx/it --> T1/lmss/m/it on input line 77.  
723 -LaTeX Font Info: Redeclaring math alphabet \mathtt on input line 77.  
724 -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `normal'  
725 -(Font) OT1/cmtt/m/n --> T1/lmtt/m/n on input line 77.  
726 -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold'  
727 -(Font) OT1/cmtt/m/n --> T1/lmtt/m/n on input line 77.  
728 -LaTeX Font Info: Overwriting symbol font `numbers' in version `bold'  
729 -(Font) T1/lmss/m/n --> T1/lmss/b/n on input line 77.  
730 -LaTeX Font Info: Overwriting symbol font `pureletters' in version `bold'  
731 -(Font) T1/lmss/m/it --> T1/lmss/b/it on input line 77.  
732 -LaTeX Font Info: Overwriting math alphabet `\mathrm' in version `bold'  
733 -(Font) OT1/cmss/b/n --> T1/lmr/b/n on input line 77.  
734 -LaTeX Font Info: Overwriting math alphabet `\mathbf' in version `bold'  
735 -(Font) T1/lmss/b/n --> T1/lmss/b/n on input line 77.  
736 -LaTeX Font Info: Overwriting math alphabet `\mathsf' in version `bold'  
737 -(Font) T1/lmss/m/n --> T1/lmss/b/n on input line 77.  
738 -LaTeX Font Info: Overwriting math alphabet `\mathit' in version `bold'  
739 -(Font) T1/lmss/m/it --> T1/lmss/b/it on input line 77.  
740 -LaTeX Font Info: Overwriting math alphabet `\mathtt' in version `bold'  
741 -(Font) T1/lmtt/m/n --> T1/lmtt/b/n on input line 77.  
742 - (/usr/share/texmf-dist/tex/latex/translator/translator-basic-dictionary-English.dict  
743 -Dictionary: translator-basic-dictionary, Language: English  
744 -) (/usr/share/texmf-dist/tex/latex/translator/translator-bibliography-dictionary-English.dict  
745 -Dictionary: translator-bibliography-dictionary, Language: English  
746 -) (/usr/share/texmf-dist/tex/latex/translator/translator-environment-dictionary-English.dict  
747 -Dictionary: translator-environment-dictionary, Language: English  
748 -) (/usr/share/texmf-dist/tex/latex/translator/translator-months-dictionary-English.dict  
749 -Dictionary: translator-months-dictionary, Language: English  
750 -) (/usr/share/texmf-dist/tex/latex/translator/translator-numbers-dictionary-English.dict  
751 -Dictionary: translator-numbers-dictionary, Language: English  
752 -) (/usr/share/texmf-dist/tex/latex/translator/translator-theorem-dictionary-English.dict  
753 -Dictionary: translator-theorem-dictionary, Language: English  
754 -) (./00_PASP.nav) [1.1  
755 -  
756 -] (./00_PASP.toc) [2.2  
757 -  
758 -]  
759 -LaTeX Font Info: Trying to load font information for U+msa on input line 102.  
760 - (/usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd  
761 -File: umsa.fd 2013/01/14 v3.01 AMS symbols A  
762 -)  
763 -LaTeX Font Info: Trying to load font information for U+msb on input line 102.  
764 - (/usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd  
765 -File: umsb.fd 2013/01/14 v3.01 AMS symbols B  
766 -)  
767 -LaTeX Font Info: Font shape `T1/lmss/m/it' in size <10.95> not available  
768 -(Font) Font shape `T1/lmss/m/sl' tried instead on input line 102.  
769 -LaTeX Font Info: Font shape `T1/lmss/m/it' in size <8> not available  
770 -(Font) Font shape `T1/lmss/m/sl' tried instead on input line 102.  
771 -LaTeX Font Info: Font shape `T1/lmss/m/it' in size <6> not available  
772 -(Font) Font shape `T1/lmss/m/sl' tried instead on input line 102.  
773 -LaTeX Font Info: Trying to load font information for T1+lmr on input line 102.  
774 - (/usr/share/texmf-dist/tex/latex/lm/t1lmr.fd  
775 -File: t1lmr.fd 2015/05/01 v1.6.1 Font defs for Latin Modern  
776 -) [3.3  
777 -  
778 -]  
779 -LaTeX Font Info: Font shape `T1/lmss/m/it' in size <10> not available  
780 -(Font) Font shape `T1/lmss/m/sl' tried instead on input line 134.  
781 -LaTeX Font Info: Font shape `T1/lmss/m/it' in size <7> not available  
782 -(Font) Font shape `T1/lmss/m/sl' tried instead on input line 134.  
783 -LaTeX Font Info: Font shape `T1/lmss/m/it' in size <5> not available  
784 -(Font) Font shape `T1/lmss/m/sl' tried instead on input line 134.  
785 - [4.4  
786 -  
787 -] [5.5  
788 -  
789 -] [6.6  
790 -  
791 -] [7.7  
792 -  
793 -] [8.8  
794 -  
795 -] [9.9  
796 -  
797 -] [10.10  
798 -  
799 -] (./00_PASP.toc) [11.11  
800 -  
801 -] [12.12  
802 -  
803 -] [13.13  
804 -  
805 -]  
806 -Overfull \hbox (81.56876pt too wide) in paragraph at lines 398--398  
807 - []  
808 - []  
809 -  
810 -[14.14  
811 -  
812 -] [15.15  
813 -  
814 -] [16.16  
815 -  
816 -]  
817 -Overfull \hbox (18.42326pt too wide) detected at line 481  
818 -[][]  
819 - []  
820 -  
821 -  
822 -Overfull \vbox (227.00671pt too high) detected at line 481  
823 - []  
824 -  
825 -[17.17  
826 -  
827 -] (./00_PASP.toc) [18.18  
828 -  
829 -] (./00_PASP.toc) [19.19  
830 -  
831 -] [20.20  
832 -  
833 -] [21.21  
834 -  
835 -]  
836 -File: Pabc_alpha03.pdf Graphic file (type pdf)  
837 -<use Pabc_alpha03.pdf>  
838 -  
839 -Overfull \vbox (479.67523pt too high) detected at line 581  
840 - []  
841 -  
842 -[22.22  
843 -  
844 -] (./00_PASP.toc) [23.23  
845 -  
846 -] [24.24  
847 -  
848 -] [25.25  
849 -  
850 -] [26.26  
851 -  
852 -] [27.27  
853 -  
854 -] (./00_PASP.toc) [28.28  
855 -  
856 -] [29.29  
857 -  
858 -] (./00_PASP.toc) [30.30  
859 -  
860 -]  
861 -Overfull \vbox (411.79784pt too high) detected at line 716  
862 - []  
863 -  
864 -[31.31  
865 -  
866 -]  
867 -\tf@nav=\write6  
868 -\openout6 = `00_PASP.nav'.  
869 -  
870 -\tf@toc=\write7  
871 -\openout7 = `00_PASP.toc'.  
872 -  
873 -\tf@snm=\write8  
874 -\openout8 = `00_PASP.snm'.  
875 -  
876 - (/usr/share/texmf-dist/tex/generic/stringenc/se-pdfdoc.def  
877 -File: se-pdfdoc.def 2019/11/29 v1.12 stringenc: PDFDocEncoding  
878 -) (/usr/share/texmf-dist/tex/generic/stringenc/se-utf32be.def  
879 -File: se-utf32be.def 2019/11/29 v1.12 stringenc: UTF-32BE  
880 -) (./00_PASP.aux)  
881 -Package rerunfilecheck Info: File `00_PASP.out' has not changed.  
882 -(rerunfilecheck) Checksum: B2BCF7D8938DE98BDFD00E76AC45D7C1;1123.  
883 - )  
884 -Here is how much of TeX's memory you used:  
885 - 26383 strings out of 476156  
886 - 521136 string characters out of 5814963  
887 - 826989 words of memory out of 5000000  
888 - 46594 multiletter control sequences out of 15000+600000  
889 - 542150 words of font info for 83 fonts, out of 8000000 for 9000  
890 - 1348 hyphenation exceptions out of 8191  
891 - 128i,11n,122p,908b,32766s stack positions out of 5000i,500n,10000p,200000b,80000s  
892 -  
893 -Output written on 00_PASP.xdv (31 pages, 203892 bytes).  
text/00_PASP.nav
View file @237d62b
@@ -1,86 +0,0 @@ @@ -1,86 +0,0 @@
1 -\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}  
2 -\headcommand {\beamer@framepages {1}{1}}  
3 -\headcommand {\beamer@sectionpages {1}{1}}  
4 -\headcommand {\beamer@subsectionpages {1}{1}}  
5 -\headcommand {\sectionentry {1}{Introduction}{2}{Introduction}{0}}  
6 -\headcommand {\slideentry {1}{0}{1}{2/2}{}{0}}  
7 -\headcommand {\beamer@framepages {2}{2}}  
8 -\headcommand {\slideentry {1}{0}{2}{3/3}{}{0}}  
9 -\headcommand {\beamer@framepages {3}{3}}  
10 -\headcommand {\slideentry {1}{0}{3}{4/4}{}{0}}  
11 -\headcommand {\beamer@framepages {4}{4}}  
12 -\headcommand {\slideentry {1}{0}{4}{5/5}{}{0}}  
13 -\headcommand {\beamer@framepages {5}{5}}  
14 -\headcommand {\slideentry {1}{0}{5}{6/6}{}{0}}  
15 -\headcommand {\beamer@framepages {6}{6}}  
16 -\headcommand {\slideentry {1}{0}{6}{7/7}{}{0}}  
17 -\headcommand {\beamer@framepages {7}{7}}  
18 -\headcommand {\slideentry {1}{0}{7}{8/8}{}{0}}  
19 -\headcommand {\beamer@framepages {8}{8}}  
20 -\headcommand {\slideentry {1}{0}{8}{9/9}{}{0}}  
21 -\headcommand {\beamer@framepages {9}{9}}  
22 -\headcommand {\slideentry {1}{0}{9}{10/10}{}{0}}  
23 -\headcommand {\beamer@framepages {10}{10}}  
24 -\headcommand {\beamer@sectionpages {2}{10}}  
25 -\headcommand {\beamer@subsectionpages {2}{10}}  
26 -\headcommand {\sectionentry {2}{Extending Probability to Samples}{11}{Extending Probability to Samples}{0}}  
27 -\headcommand {\slideentry {2}{0}{1}{11/11}{}{0}}  
28 -\headcommand {\beamer@framepages {11}{11}}  
29 -\headcommand {\slideentry {2}{0}{2}{12/12}{}{0}}  
30 -\headcommand {\beamer@framepages {12}{12}}  
31 -\headcommand {\slideentry {2}{0}{3}{13/13}{}{0}}  
32 -\headcommand {\beamer@framepages {13}{13}}  
33 -\headcommand {\slideentry {2}{0}{4}{14/14}{}{0}}  
34 -\headcommand {\beamer@framepages {14}{14}}  
35 -\headcommand {\slideentry {2}{0}{5}{15/15}{}{0}}  
36 -\headcommand {\beamer@framepages {15}{15}}  
37 -\headcommand {\slideentry {2}{0}{6}{16/16}{}{0}}  
38 -\headcommand {\beamer@framepages {16}{16}}  
39 -\headcommand {\slideentry {2}{0}{7}{17/17}{}{0}}  
40 -\headcommand {\beamer@framepages {17}{17}}  
41 -\headcommand {\beamer@sectionpages {11}{17}}  
42 -\headcommand {\beamer@subsectionpages {11}{17}}  
43 -\headcommand {\sectionentry {3}{Cases \& Examples}{18}{Cases \& Examples}{0}}  
44 -\headcommand {\slideentry {3}{0}{1}{18/18}{}{0}}  
45 -\headcommand {\beamer@framepages {18}{18}}  
46 -\headcommand {\beamer@subsectionpages {18}{18}}  
47 -\headcommand {\beamer@subsectionentry {0}{3}{1}{19}{Programs with disjunctive heads}}  
48 -\headcommand {\slideentry {3}{1}{1}{19/19}{Programs with disjunctive heads}{0}}  
49 -\headcommand {\beamer@framepages {19}{19}}  
50 -\headcommand {\slideentry {3}{1}{2}{20/20}{Programs with disjunctive heads}{0}}  
51 -\headcommand {\beamer@framepages {20}{20}}  
52 -\headcommand {\slideentry {3}{1}{3}{21/21}{Programs with disjunctive heads}{0}}  
53 -\headcommand {\beamer@framepages {21}{21}}  
54 -\headcommand {\slideentry {3}{1}{4}{22/22}{Programs with disjunctive heads}{0}}  
55 -\headcommand {\beamer@framepages {22}{22}}  
56 -\headcommand {\beamer@subsectionpages {19}{22}}  
57 -\headcommand {\beamer@subsectionentry {0}{3}{2}{23}{Non-stratified programs}}  
58 -\headcommand {\slideentry {3}{2}{1}{23/23}{Non-stratified programs}{0}}  
59 -\headcommand {\beamer@framepages {23}{23}}  
60 -\headcommand {\slideentry {3}{2}{2}{24/24}{Non-stratified programs}{0}}  
61 -\headcommand {\beamer@framepages {24}{24}}  
62 -\headcommand {\slideentry {3}{2}{3}{25/25}{Non-stratified programs}{0}}  
63 -\headcommand {\beamer@framepages {25}{25}}  
64 -\headcommand {\slideentry {3}{2}{4}{26/26}{Non-stratified programs}{0}}  
65 -\headcommand {\beamer@framepages {26}{26}}  
66 -\headcommand {\slideentry {3}{2}{5}{27/27}{Non-stratified programs}{0}}  
67 -\headcommand {\beamer@framepages {27}{27}}  
68 -\headcommand {\beamer@sectionpages {18}{27}}  
69 -\headcommand {\beamer@subsectionpages {23}{27}}  
70 -\headcommand {\sectionentry {4}{Conclusions}{28}{Conclusions}{0}}  
71 -\headcommand {\slideentry {4}{0}{1}{28/28}{}{0}}  
72 -\headcommand {\beamer@framepages {28}{28}}  
73 -\headcommand {\slideentry {4}{0}{2}{29/29}{}{0}}  
74 -\headcommand {\beamer@framepages {29}{29}}  
75 -\headcommand {\beamer@sectionpages {28}{29}}  
76 -\headcommand {\beamer@subsectionpages {28}{29}}  
77 -\headcommand {\sectionentry {5}{ASP \& related definitions}{30}{ASP \& related definitions}{0}}  
78 -\headcommand {\slideentry {5}{0}{1}{30/30}{}{0}}  
79 -\headcommand {\beamer@framepages {30}{30}}  
80 -\headcommand {\slideentry {5}{0}{2}{31/31}{}{0}}  
81 -\headcommand {\beamer@framepages {31}{31}}  
82 -\headcommand {\beamer@partpages {1}{31}}  
83 -\headcommand {\beamer@subsectionpages {30}{31}}  
84 -\headcommand {\beamer@sectionpages {30}{31}}  
85 -\headcommand {\beamer@documentpages {31}}  
86 -\headcommand {\gdef \inserttotalframenumber {31}}  
text/00_PASP.out
View file @237d62b
@@ -1,7 +0,0 @@ @@ -1,7 +0,0 @@
1 -\BOOKMARK [2][]{Outline0.1}{\376\377\000I\000n\000t\000r\000o\000d\000u\000c\000t\000i\000o\000n}{}% 1  
2 -\BOOKMARK [2][]{Outline0.2}{\376\377\000E\000x\000t\000e\000n\000d\000i\000n\000g\000\040\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000y\000\040\000t\000o\000\040\000S\000a\000m\000p\000l\000e\000s}{}% 2  
3 -\BOOKMARK [2][]{Outline0.3}{\376\377\000C\000a\000s\000e\000s\000\040\000\046\000\040\000E\000x\000a\000m\000p\000l\000e\000s}{}% 3  
4 -\BOOKMARK [3][]{Outline0.3.1.19}{\376\377\000P\000r\000o\000g\000r\000a\000m\000s\000\040\000w\000i\000t\000h\000\040\000d\000i\000s\000j\000u\000n\000c\000t\000i\000v\000e\000\040\000h\000e\000a\000d\000s}{Outline0.3}% 4  
5 -\BOOKMARK [3][]{Outline0.3.2.23}{\376\377\000N\000o\000n\000-\000s\000t\000r\000a\000t\000i\000f\000i\000e\000d\000\040\000p\000r\000o\000g\000r\000a\000m\000s}{Outline0.3}% 5  
6 -\BOOKMARK [2][]{Outline0.4}{\376\377\000C\000o\000n\000c\000l\000u\000s\000i\000o\000n\000s}{}% 6  
7 -\BOOKMARK [2][]{Outline0.5}{\376\377\000A\000S\000P\000\040\000\046\000\040\000r\000e\000l\000a\000t\000e\000d\000\040\000d\000e\000f\000i\000n\000i\000t\000i\000o\000n\000s}{}% 7  
text/00_PASP.pdf
View file @53b3b48
No preview for this file type
text/00_PASP.snm
View file @237d62b
@@ -1,14 +0,0 @@ @@ -1,14 +0,0 @@
1 -\beamer@slide {eq:prob.tc}{5}  
2 -\beamer@slide {prop:unique.ext.tcsm}{7}  
3 -\beamer@slide {prop:lucases}{13}  
4 -\beamer@slide {prop:lucases.a}{13}  
5 -\beamer@slide {prop:lucases.b}{13}  
6 -\beamer@slide {prop:lucases.c}{13}  
7 -\beamer@slide {prop:lucases.d}{13}  
8 -\beamer@slide {def:w.inconsistent}{16}  
9 -\beamer@slide {eq:prob.sm}{16}  
10 -\beamer@slide {def:w.disj}{16}  
11 -\beamer@slide {def:w.conj}{16}  
12 -\beamer@slide {def:w.empty}{16}  
13 -\beamer@slide {eq:def.prob}{17}  
14 -\beamer@slide {eq:def.prob.event}{17}  
text/00_PASP.synctex.gz
View file @53b3b48
No preview for this file type
text/00_PASP.tex
  Diff comments   View file @53b3b48
@@ -23,27 +23,48 @@ @@ -23,27 +23,48 @@
23 \usepackage[overridenote]{pdfpc} 23 \usepackage[overridenote]{pdfpc}
24 24
25 \usepackage{tikz} 25 \usepackage{tikz}
  26 +\usetikzlibrary{
  27 + % shapes,
  28 + % arrows,
  29 + % backgrounds,
  30 + positioning,
  31 +}
26 \tikzset{ 32 \tikzset{
27 -rrect/.style={  
28 - rectangle,  
29 - rounded corners,  
30 - fill=gray!10,  
31 - % minimum width=1em,  
32 - % text width=2em,  
33 - % draw=blue!75,  
34 - % very thick,  
35 - align=center,  
36 - } 33 + sm/.style={
  34 + rectangle,
  35 + rounded corners,
  36 + fill=teal!10,
  37 + align=center,
  38 + minimum height=1.5em,
  39 + },
  40 + sup/.style={
  41 + rectangle,
  42 + rounded corners,
  43 + fill=blue!10,
  44 + align=center,
  45 + minimum height=1.5em,
  46 + },
  47 + sub/.style={
  48 + rectangle,
  49 + rounded corners,
  50 + fill=red!10,
  51 + align=center,
  52 + minimum height=1.5em,
  53 + },
  54 + ind/.style={
  55 + align=center,
  56 + minimum height=1.5em,
  57 + },
37 } 58 }
38 59
39 -\usepackage{commath}  
40 -\usepackage{amssymb}  
41 \usepackage[T1]{fontenc} 60 \usepackage[T1]{fontenc}
42 \usepackage{hyperref} 61 \usepackage{hyperref}
43 \hypersetup{% 62 \hypersetup{%
44 colorlinks=true, 63 colorlinks=true,
45 allcolors=blue, 64 allcolors=blue,
46 } 65 }
  66 +\usepackage{commath}
  67 +\usepackage{amssymb}
47 % 68 %
48 % Local commands 69 % Local commands
49 % 70 %
@@ -89,11 +110,11 @@ rrect/.style={ @@ -89,11 +110,11 @@ rrect/.style={
89 % -------------------------------- 110 % --------------------------------
90 \item $\co{x} = 1 - x$. 111 \item $\co{x} = 1 - x$.
91 % -------------------------------- 112 % --------------------------------
92 - \item \textbf{Probabilistic Atomic Choice (PAC):} $\alpha :: a$ defines $a \lor \neg a$ and probabilities $\pr{a} = \alpha, \pr{\neg a} = \co{\alpha}$. 113 + \item \textbf{Probabilistic Atomic Choice (PAC):} $x :: a$ defines $a \lor \neg a$ and probabilities $\pr{a} = x, \pr{\neg a} = \co{x}$.
93 % -------------------------------- 114 % --------------------------------
94 - \item $\delta a$ denotes $a \lor \neg a$ and $\delta\! \set{\alpha :: a, a \in \fml{A}} = \set{\delta a, a \in \fml{A}}$ for a set of atoms $\fml{A}$. 115 + \item $\delta a$ denotes $a \lor \neg a$ and $\delta\! \set{x :: a, a \in \fml{A}} = \set{\delta a, a \in \fml{A}}$ for a set of atoms $\fml{A}$.
95 % -------------------------------- 116 % --------------------------------
96 - \item \textbf{Closed World Assumption:} $\naf x \models \neg x$. 117 + \item \textbf{Closed World Assumption:} $\naf p \models \neg p$.
97 % -------------------------------- 118 % --------------------------------
98 % \item Probabilistic choices and sub-goals are independent. 119 % \item Probabilistic choices and sub-goals are independent.
99 % -------------------------------- 120 % --------------------------------
@@ -106,25 +127,24 @@ rrect/.style={ @@ -106,25 +127,24 @@ rrect/.style={
106 \begin{itemize} 127 \begin{itemize}
107 % -------------------------------- 128 % --------------------------------
108 \item \textbf{Atoms} $\fml{A}$, 129 \item \textbf{Atoms} $\fml{A}$,
109 - $\overline{\fml{A}} = \cset{\neg a}{a \in \fml{A}}$, 130 + $\overline{\fml{A}} = \cset{\neg a}{a \in \fml{A}}$, and \textbf{literals} $\fml{L} = \fml{A} \cup \co{\fml{A}}$.
110 % -------------------------------- 131 % --------------------------------
111 - \item \textbf{Samples} $\fml{Z}$:  
112 - $$\fml{Z} = \cset{z = \alpha \cup \beta }{ \alpha \subseteq \fml{A} \land \beta \subseteq \overline{\fml{A}} }$$ 132 + \item \textbf{Samples} $z \in \fml{Z} \iff z \subseteq \fml{L}$.
113 % -------------------------------- 133 % --------------------------------
114 - \item \textbf{Interpretations} or \textit{consistent samples} $\fml{I}$ :  
115 - $$\fml{I} = \cset{z \in \fml{Z} }{ \forall a \in \fml{A}~\envert{\set{a,\neg a} \cap z} \leq 1}.$$ 134 + \item \textbf{Events} or \textit{consistent samples} $\fml{E}$ :
  135 + $$\fml{E} = \cset{z \in \fml{Z} }{ \forall a \in \fml{A}~\envert{\set{a,\neg a} \cap z} \leq 1}.$$
116 % -------------------------------- 136 % --------------------------------
117 \item \textit{PASP Problem} or \textbf{Specification:} $P = C \land F \land R$ where 137 \item \textit{PASP Problem} or \textbf{Specification:} $P = C \land F \land R$ where
118 % -------------------------------- 138 % --------------------------------
119 \begin{itemize} 139 \begin{itemize}
120 % -------------------------------- 140 % --------------------------------
121 - \item $C = C_P = \cset{\alpha_i :: a_i }{ i \in 1:n \land a_i \in \fml{A}}$ \textit{pacs}. 141 + \item $C = C_P = \cset{x_i :: a_i }{ i \in 1:n \land a_i \in \fml{A}}$ \textit{pacs}.
122 % -------------------------------- 142 % --------------------------------
123 \item $F = F_P$ \textit{facts}. 143 \item $F = F_P$ \textit{facts}.
124 % -------------------------------- 144 % --------------------------------
125 \item $R = R_P$ \textit{rules}. 145 \item $R = R_P$ \textit{rules}.
126 % -------------------------------- 146 % --------------------------------
127 - \item $\fml{A}_P, \fml{Z}_P$ and $\fml{I}_P$: \textit{atoms}, \textit{samples} and \textit{interpretations} of $P$. 147 + \item $\fml{A}_P, \fml{Z}_P$ and $\fml{E}_P$: \textit{atoms}, \textit{samples} and \textit{events} of $P$.
128 \end{itemize} 148 \end{itemize}
129 % -------------------------------- 149 % --------------------------------
130 \item \textbf{Stable Models} of $P$, $\fml{S} = \fml{S}_P$, are the stable models of $\delta P = \delta C + F + R$. 150 \item \textbf{Stable Models} of $P$, $\fml{S} = \fml{S}_P$, are the stable models of $\delta P = \delta C + F + R$.
@@ -137,7 +157,7 @@ rrect/.style={ @@ -137,7 +157,7 @@ rrect/.style={
137 % -------------------------------- 157 % --------------------------------
138 \begin{itemize} 158 \begin{itemize}
139 % -------------------------------- 159 % --------------------------------
140 - \item \textbf{Total Choices:} $\Theta = \Theta_C = \Theta_P$ elements are $\theta = \cset{t_c}{c \in C}$ where $c=\alpha::a$ and $t_c$ is $a$ or $\neg a$. 160 + \item \textbf{Total Choices:} $\Theta = \Theta_C = \Theta_P$ elements are $\theta = \cset{t_c}{c \in C}$ where $c=x::a$ and $t_c$ is $a$ or $\neg a$.
141 % -------------------------------- 161 % --------------------------------
142 %\item For $s\in\fml{S}$ let $\theta_s \subseteq s$ (unique \textit{total choice}) 162 %\item For $s\in\fml{S}$ let $\theta_s \subseteq s$ (unique \textit{total choice})
143 %\item Define $\fml{S}_\theta = \cset{s \in \fml{S}}{\theta \subset s}$. 163 %\item Define $\fml{S}_\theta = \cset{s \in \fml{S}}{\theta \subset s}$.
@@ -146,7 +166,7 @@ rrect/.style={ @@ -146,7 +166,7 @@ rrect/.style={
146 % -------------------------------- 166 % --------------------------------
147 \item \textbf{Total Choice Probability:} 167 \item \textbf{Total Choice Probability:}
148 \begin{equation} 168 \begin{equation}
149 - \pr{\theta} = \prod_{a \in \theta}\alpha \prod_{\neg a \in \theta}\co{\alpha}.\label{eq:prob.tc} 169 + \pr{\theta} = \prod_{a \in \theta}x \prod_{\neg a \in \theta}\co{x}.\label{eq:prob.tc}
150 \end{equation} 170 \end{equation}
151 % -------------------------------- 171 % --------------------------------
152 \end{itemize} 172 \end{itemize}
@@ -157,7 +177,7 @@ rrect/.style={ @@ -157,7 +177,7 @@ rrect/.style={
157 \begin{frame} 177 \begin{frame}
158 % -------------------------------- 178 % --------------------------------
159 \begin{block}{Problem Statement} 179 \begin{block}{Problem Statement}
160 - How to \textit{extend} probability from total choices to stable models, interpretations and samples? 180 + How to \textit{extend} probability from total choices to stable models, events and samples?
161 \end{block} 181 \end{block}
162 % -------------------------------- 182 % --------------------------------
163 \begin{quotation} 183 \begin{quotation}
@@ -193,11 +213,11 @@ rrect/.style={ @@ -193,11 +213,11 @@ rrect/.style={
193 % -------------------------------- 213 % --------------------------------
194 \item $\pr{\set{\neg a}} = 0.7$ is straightforward. 214 \item $\pr{\set{\neg a}} = 0.7$ is straightforward.
195 % -------------------------------- 215 % --------------------------------
196 - \item But, no \textit{informed} choice for $\alpha\in\intcc{0,1}$ in 216 + \item But, no \textit{informed} choice for $x\in\intcc{0,1}$ in
197 $$ 217 $$
198 \begin{aligned} 218 \begin{aligned}
199 - \pr{\set{a, b}} &= 0.3 \alpha, \cr  
200 - \pr{\set{a, c}} &= 0.3 \co{\alpha}. 219 + \pr{\set{a, b}} &= 0.3 x, \cr
  220 + \pr{\set{a, c}} &= 0.3 \co{x}.
201 \end{aligned} 221 \end{aligned}
202 $$ 222 $$
203 % -------------------------------- 223 % --------------------------------
@@ -209,28 +229,43 @@ rrect/.style={ @@ -209,28 +229,43 @@ rrect/.style={
209 % -------------------------------- 229 % --------------------------------
210 \begin{itemize} 230 \begin{itemize}
211 % -------------------------------- 231 % --------------------------------
212 - \item The specification \textit{lacks information} to set $\alpha\in\intcc{0,1}$ in 232 + \item The specification \textit{lacks information} to set $x\in\intcc{0,1}$ in
213 $$ 233 $$
214 \begin{aligned} 234 \begin{aligned}
215 - \pr{\set{a, b}} &= 0.3 \alpha, \cr  
216 - \pr{\set{a, c}} &= 0.3 \co{\alpha}. 235 + \pr{\set{a, b}} &= 0.3 x, \cr
  236 + \pr{\set{a, c}} &= 0.3 \co{x}.
217 \end{aligned} 237 \end{aligned}
218 $$ 238 $$
219 - \item A \textit{random variable} captures this uncertainty: 239 + \item A \textit{random variable} captures this uncertainty, \alert{assuming} that the stable models are statistically independent:
220 $$ 240 $$
221 \begin{aligned} 241 \begin{aligned}
222 - \pr{\set{\neg a} \given A = \alpha } &= 0.7, \cr  
223 - \pr{\set{a, b} \given A = \alpha } &= 0.3 \alpha, \cr  
224 - \pr{\set{a, c} \given A = \alpha } &= 0.3 \co{\alpha}. 242 + \pr{\set{\neg a} \given X = x } &= 0.7, \cr
  243 + \pr{\set{a, b} \given X = x } &= 0.3 x, \cr
  244 + \pr{\set{a, c} \given X = x } &= 0.3 \co{x}.
225 \end{aligned} 245 \end{aligned}
226 $$ 246 $$
227 - \item Other uncertainties lead to further parameters: 247 + \item Other uncertainties may lead to further conditions:
228 $$ 248 $$
229 - \pr{s \given A_1 = \alpha_1, \ldots, A_n = \alpha_n }. 249 + \pr{s \given X_1 = x_1, \ldots, X_n = x_n }.
230 $$ 250 $$
231 % -------------------------------- 251 % --------------------------------
232 \end{itemize} 252 \end{itemize}
233 - Reducing \textbf{specification uncertainty}, \textit{e.g.} setting $A = 0.21$, must result from \textbf{observations}. 253 + Reducing \textbf{uncertainty}, \textit{e.g.} setting $X = 0.21$, must result from \textbf{external} sources, since the specification lacks information for further assertions.
  254 + % --------------------------------
  255 +\end{frame}
  256 +% ================================================================
  257 +\begin{frame}{Independence of Stable Models}
  258 + % --------------------------------
  259 +
  260 + \begin{itemize}
  261 + \item[Q:] Why are the stable models assumed statistically independent?
  262 + % --------------------------------
  263 + \item[A:] Because dependence can be \textit{explicitly} modelled.
  264 + % --------------------------------
  265 + \item So, it is assumed \textit{intention} of the \textit{modeller} to not explicit express such dependences.
  266 + % --------------------------------
  267 + \item \textbf{For example:} \todo{Some key examples}.
  268 + \end{itemize}
234 % -------------------------------- 269 % --------------------------------
235 \end{frame} 270 \end{frame}
236 % ================================================================ 271 % ================================================================
@@ -239,9 +274,9 @@ rrect/.style={ @@ -239,9 +274,9 @@ rrect/.style={
239 A \textit{random variable} captures this uncertainty: 274 A \textit{random variable} captures this uncertainty:
240 $$ 275 $$
241 \begin{aligned} 276 \begin{aligned}
242 - \pr{\set{\neg a} \given A = \alpha } &= 0.7, \cr  
243 - \pr{\set{a, b} \given A = \alpha } &= 0.3 \alpha, \cr  
244 - \pr{\set{a, c} \given A = \alpha } &= 0.3 \co{\alpha}. 277 + \pr{\set{\neg a} \given X = x } &= 0.7, \cr
  278 + \pr{\set{a, b} \given X = x } &= 0.3 x, \cr
  279 + \pr{\set{a, c} \given X = x } &= 0.3 \co{x}.
245 \end{aligned} 280 \end{aligned}
246 $$ 281 $$
247 % -------------------------------- 282 % --------------------------------
@@ -265,13 +300,13 @@ rrect/.style={ @@ -265,13 +300,13 @@ rrect/.style={
265 % -------------------------------- 300 % --------------------------------
266 \end{frame} 301 \end{frame}
267 % ================================================================ 302 % ================================================================
268 -\begin{frame}%{Specification, Data \& Evaluation} 303 +\begin{frame}{Leap into Inductive Programming}
269 % -------------------------------- 304 % --------------------------------
270 Given a method that produces a distribution of samples, $p$, from a specification, $P$ and: 305 Given a method that produces a distribution of samples, $p$, from a specification, $P$ and:
271 % -------------------------------- 306 % --------------------------------
272 \begin{itemize} 307 \begin{itemize}
273 % -------------------------------- 308 % --------------------------------
274 - \item $Z$, a dataset of samples. 309 + \item $Z$, a dataset (of samples).
275 % -------------------------------- 310 % --------------------------------
276 \item $e$, the respective empirical distribution. 311 \item $e$, the respective empirical distribution.
277 % -------------------------------- 312 % --------------------------------
@@ -279,8 +314,18 @@ rrect/.style={ @@ -279,8 +314,18 @@ rrect/.style={
279 % -------------------------------- 314 % --------------------------------
280 \end{itemize} 315 \end{itemize}
281 % -------------------------------- 316 % --------------------------------
282 - \begin{block}{Motivation}  
283 - Then $D\at{P} = D\at{e, p}$ is a \textbf{performance} measure of $P$ and can be used, \textit{e.g.} as fitness, by algorithms searching for \textbf{optimal specifications of a dataset}. 317 + \begin{block}{Specification Performance \& Inductive Programming}
  318 + % --------------------------------
  319 + \begin{itemize}
  320 + % --------------------------------
  321 + \item $D\at{P} = D\at{e, p}$ is a \textbf{performance} measure of $P$.
  322 + % --------------------------------
  323 + \item Predictor performance measures, such as accuracy, are common in \textit{Machine Learning} tasks.
  324 + % --------------------------------
  325 + \item For \textit{Inductive Programming} this performance can be used, \textit{e.g.} as fitness, by algorithms searching for \textbf{optimal specifications of a dataset}.
  326 + % --------------------------------
  327 + \end{itemize}
  328 + % --------------------------------
284 \end{block} 329 \end{block}
285 % -------------------------------- 330 % --------------------------------
286 \end{frame} 331 \end{frame}
@@ -290,18 +335,21 @@ rrect/.style={ @@ -290,18 +335,21 @@ rrect/.style={
290 \begin{frame}{Resolution Path} 335 \begin{frame}{Resolution Path}
291 Prior to \textit{conciliation} with data: 336 Prior to \textit{conciliation} with data:
292 \begin{enumerate} 337 \begin{enumerate}
293 - \item Use \textit{conditional parameters} to represent lack of knowledge \emph{e.g.} $\alpha$ in the disjunction example.  
294 - \item This extends probability from total choices to \textit{standard models} --- \alert{hopefully}.  
295 - \item Assume probability set on standard models; Extend it to \textit{interpretations}. \textbf{How?} Later.  
296 - \item Set $\pr{z} = 0$ for $z \in \fml{Z} \setminus \fml{I}$ (inconsistent samples). 338 + \item \alert{Hopefully}, \textit{conditional parameters} extend probability from total choices to \textit{standard models}.
  339 + \item \textbf{How} to extend it to \textit{events}?
  340 + \begin{itemize}
  341 + \item $\pr{x} = 0$ for $x$ \textit{excluded} by the specification, including \textit{inconsistent} samples.
  342 + \item $\pr{x}$ depends on the $s \in \fml{S}$ that contain/are contained in $x$.
  343 + \end{itemize}
297 \end{enumerate} 344 \end{enumerate}
298 - Assuming a conditional probability set on stable models, \textit{How to extend it to interpretations?} 345 + \alert{Consider probabilities \textbf{conditional} on the total choice!}
299 \end{frame} 346 \end{frame}
300 -\begin{frame}{Bounds of Interpretations} 347 +% ================================================================
  348 +\begin{frame}{Bounds of Events}
301 % -------------------------------- 349 % --------------------------------
302 \begin{itemize} 350 \begin{itemize}
303 % -------------------------------- 351 % --------------------------------
304 - \item For $x\in\fml{I}$: 352 + \item For $x\in\fml{E}$:
305 % -------------------------------- 353 % --------------------------------
306 \begin{itemize} 354 \begin{itemize}
307 % -------------------------------- 355 % --------------------------------
@@ -315,13 +363,25 @@ rrect/.style={ @@ -315,13 +363,25 @@ rrect/.style={
315 % -------------------------------- 363 % --------------------------------
316 \begin{enumerate} 364 \begin{enumerate}
317 % -------------------------------- 365 % --------------------------------
318 - \item\label{prop:lucases.a} $\lset{x} = \set{x} = \uset{x}$ and $x$ is a stable model. 366 + \item\label{prop:lucases.a} $\lset{x} = \set{x} = \uset{x}$ and $x$ is a stable model. Then:
  367 + \begin{equation}
  368 + \pr{x \given C = \theta_x} = d\at{x}.
  369 + \end{equation}
319 % -------------------------------- 370 % --------------------------------
320 - \item\label{prop:lucases.b} $\lset{x} \neq \emptyset \land \uset{x} = \emptyset$. 371 + \item\label{prop:lucases.b} $\lset{x} \neq \emptyset \land \uset{x} = \emptyset$. Then:
  372 + \begin{equation}
  373 + \pr{x \given C = \theta_s, s \in \lset{x}} = \prod_{s\in\lset{x}} d\at{s}.
  374 + \end{equation}
321 % -------------------------------- 375 % --------------------------------
322 - \item\label{prop:lucases.c} $\lset{x} = \emptyset \land \uset{x} \neq \emptyset$. 376 + \item\label{prop:lucases.c} $\lset{x} = \emptyset \land \uset{x} \neq \emptyset$. Then:
  377 + \begin{equation}
  378 + \pr{x \given C = \theta_s, s \in \uset{x}} = \sum_{s\in\uset{x}} d\at{s}.
  379 + \end{equation}
323 % -------------------------------- 380 % --------------------------------
324 - \item\label{prop:lucases.d} $\lset{x} = \emptyset = \uset{x}$. 381 + \item\label{prop:lucases.d} $\lset{x} = \emptyset = \uset{x}$. Then:
  382 + \begin{equation}
  383 + \pr{x} = 0.
  384 + \end{equation}
325 % -------------------------------- 385 % --------------------------------
326 \end{enumerate} 386 \end{enumerate}
327 because stable models are \textit{minimal}. 387 because stable models are \textit{minimal}.
@@ -330,57 +390,326 @@ rrect/.style={ @@ -330,57 +390,326 @@ rrect/.style={
330 % -------------------------------- 390 % --------------------------------
331 \end{frame} 391 \end{frame}
332 % ================================================================ 392 % ================================================================
333 -\begin{frame}{Disjunction Example | The Interpretation's Lattice} 393 +\begin{frame}{Conditional on Total Choices}
  394 + % --------------------------------
  395 + \begin{itemize}
  396 + % --------------------------------
  397 + \item A stable model is entailed by an atomic choice plus the facts and rules of the specification.
  398 + \item We express that entailment as a \textit{conditional}. For example:
  399 + $$\pr{\set{a,b} \given X = x} = \pr{b \given X = x, \Theta = a}\pr{\theta = a}$$
  400 + \item And now $\pr{b \given X = x, \Theta = a} = x$, since $X$ is a proxy for the stable models of the total choice $\theta = a$, we can further.
  401 + % --------------------------------
  402 + \end{itemize}
  403 + % --------------------------------
  404 +\end{frame}
  405 +% ================================================================
  406 +\begin{frame}{Disjunction Example | The Events Lattice}
334 \begin{center} 407 \begin{center}
335 \begin{tikzpicture} 408 \begin{tikzpicture}
  409 + % --------------------------------
  410 + %\draw [help lines, color=gray!20] grid (11,7);
  411 + % --------------------------------
  412 + \node at (7, 7) {$\pr{\Theta=a} = 0.3$};
  413 + \node at (7, 6) {$x = \pr{S = ab \given \Theta}$};
  414 + \node at (7, 5) {$\co{x} = \pr{S \not= ab \given \Theta}$};
  415 + \node at (7, 7.5) {$\pr{E = abc \given \Theta} = \pr{S = ab, S = ac \given \Theta }$};
  416 + % --------------------------------
  417 + % \node [rrect] (sub) at (2, 7) {sub};
  418 + % --------------------------------
  419 + % \node [ fill=gray!10] (sup) at (3, 7) {sup};
  420 + % --------------------------------
  421 + % \node (ind) at (4, 7) {ind};
  422 + % --------------------------------
336 % 423 %
337 - \draw [help lines, color=gray!20] grid (11,7);  
338 - %  
339 - \node [fill=gray!50] (sm) at (1, 7) {sm};  
340 - \node [draw,rrect] (sub) at (2, 7) {sub};  
341 - \node [draw, fill=gray!10] (sup) at (3, 7) {sup};  
342 - \node (ind) at (4, 7) {ind};  
343 - %  
344 - \node [draw, rrect] (E) at (5.5,0) {$\emptyset$}; 424 + % --------------------------------
  425 + \node [ sub,
  426 + pin=45:\textcolor{violet}{$1$} ]
  427 + (E) at (5.5,0) {$\emptyset$};
  428 + % --------------------------------
345 % 429 %
346 - \node [draw, rrect] (a) at (1.5,1.5) {$a$};  
347 - \node [draw, rrect] (b) at (0,1.5) {$b$};  
348 - \node [draw, rrect] (c) at (4.5,1.5) {$c$};  
349 - \node [fill=gray!50] (A) at (8.5,1.5) {$\co{a}$};  
350 - \node (B) at (9.5,1.5) {$\co{b}$};  
351 - \node (C) at (10.5,1.5) {$\co{c}$}; 430 + % --------------------------------
  431 + \node [ sub,
  432 + pin=0:\textcolor{blue!75}{$1$} ]
  433 + (a) at (1.5,1.5) {$a$};
  434 + % --------------------------------
  435 + \node [ sub,
  436 + pin=315:\textcolor{blue!50}{$x$}]
  437 + (b) at (0,1.5) {$b$};
  438 + % --------------------------------
  439 + \node [ sub,
  440 + pin=315:\textcolor{blue!50}{$\co{x}$}]
  441 + (c) at (4.5,1.5) {$c$};
  442 + % --------------------------------
  443 + % \node [ sm,
  444 + % pin=270:\textcolor{teal}{$1$}]
  445 + % (A) at (8.5,1.5) {$\co{a}$};
  446 + % % --------------------------------
  447 + % \node [ ind,
  448 + % pin=270:\textcolor{purple}{$0$}]
  449 + % (B) at (9.5, 1.5) {$\co{b}$};
  450 + % % --------------------------------
  451 + % \node [ ind,
  452 + % pin=270:\textcolor{purple}{$0$}]
  453 + % (C) at (10.5, 1.5) {$\co{c}$};
  454 + % --------------------------------
352 % 455 %
353 - \node [fill=gray!50] (ab) at (0,4) {$ab$};  
354 - \node [fill=gray!50] (ac) at (3,4) {$ac$};  
355 - \node (aB) at (1,4) {$a\co{b}$};  
356 - \node (aC) at (2,4) {$a\co{c}$};  
357 - \node [draw, fill=gray!10] (Ab) at (4,4) {$\co{a}b$};  
358 - \node [draw, fill=gray!10] (Ac) at (5,4) {$\co{a}c$};  
359 - \node [draw, fill=gray!10] (AB) at (6,4) {$\co{a}\co{b}$};  
360 - \node [draw, fill=gray!10] (AC) at (7,4) {$\co{a}\co{c}$};  
361 - \node [fill=white] (bc) at (10,4) {$bc$};  
362 - \node [fill=white] (bC) at (11,4) {$b\co{c}$};  
363 - \node [fill=white] (Bc) at (12,4) {$\co{b}c$};  
364 - \node [fill=white] (BC) at (13,4) {$\co{b}\co{c}$}; 456 + % --------------------------------
  457 + \node [ sm,
  458 + pin=0:\textcolor{teal}{$x$}]
  459 + (ab) at (0,4) {$ab$};
  460 + % --------------------------------
  461 + \node [ sm,
  462 + pin=0:\textcolor{teal}{$\co{x}$}]
  463 + (ac) at (3,4) {$ac$};
  464 + % --------------------------------
  465 + % \node [ ind,
  466 + % pin=270:\textcolor{purple}{$0$}]
  467 + % (aB) at (1,4) {$a\co{b}$};
  468 + % % --------------------------------
  469 + % \node [ ind,
  470 + % pin=270:\textcolor{purple}{$0$}]
  471 + % (aC) at (2,4) {$a\co{c}$};
  472 + % --------------------------------
  473 + % \node [ sup,
  474 + % pin=90:\textcolor{blue!50}{$1$}]
  475 + % (Ab) at (4,4) {$\co{a}b$};
  476 + % % --------------------------------
  477 + % \node [ sup,
  478 + % pin=90:\textcolor{blue!50}{$1$}]
  479 + % (Ac) at (5,4) {$\co{a}c$};
  480 + % % --------------------------------
  481 + % \node [ sup,
  482 + % pin=90:\textcolor{blue!50}{$1$}]
  483 + % (AB) at (6,4) {$\co{a}\co{b}$};
  484 + % % --------------------------------
  485 + % \node [ sup,
  486 + % pin=90:\textcolor{blue!50}{$1$}]
  487 + % (AC) at (7,4) {$\co{a}\co{c}$};
  488 + % % --------------------------------
  489 + % \node [ ind,
  490 + % pin=270:\textcolor{purple}{$0$}]
  491 + % (bc) at (10,4) {$bc$};
  492 + % % --------------------------------
  493 + % \node [ ind,
  494 + % pin=270:\textcolor{purple}{$0$}]
  495 + % (bC) at (11,4) {$b\co{c}$};
  496 + % % --------------------------------
  497 + % \node [ ind,
  498 + % pin=270:\textcolor{purple}{$0$}]
  499 + % (Bc) at (9.5,3.5) {$\co{b}c$};
  500 + % % --------------------------------
  501 + % \node [ ind,
  502 + % pin=270:\textcolor{purple}{$0$}]
  503 + % (BC) at (10.5,3.5) {$\co{b}\co{c}$};
  504 + % --------------------------------
365 % 505 %
366 - \node [draw, fill=gray!10] (abc) at (1.5,6) {$abc$};  
367 - \node (abC) at (3,6) {$ab\co{c}$};  
368 - \node (aBc) at (4,6) {$a\co{b}c$};  
369 - \node (aBC) at (5,6) {$a\co{b}\co{c}$};  
370 - \node [draw, fill=gray!10] (Abc) at (7,6) {$\co{a}bc$};  
371 - \node [draw, fill=gray!10] (AbC) at (8,6) {$\co{a}b\co{c}$};  
372 - \node [draw, fill=gray!10] (ABc) at (9,6) {$\co{a}\co{b}c$};  
373 - \node [draw, fill=gray!10] (ABC) at (10,6) {$\co{a}\co{b}\co{c}$}; 506 + % --------------------------------
  507 + \node [ sup,
  508 + pin=45:\textcolor{blue!75}{$x\co{x}$}]
  509 + (abc) at (1.5,6)
  510 + {$abc$};
  511 + % --------------------------------
  512 + \node [ sup,
  513 + pin=45:\textcolor{blue!50}{$x$}]
  514 + (abC) at (0,6) {$ab\co{c}$};
  515 + % --------------------------------
  516 + \node [ sup,
  517 + pin=45:\textcolor{blue!50}{$\co{x}$}]
  518 + (aBc) at (3,6) {$a\co{b}c$};
  519 + % --------------------------------
  520 + % \node [ ind,
  521 + % pin=90:\textcolor{purple}{$0$}]
  522 + % (aBC) at (5,6) {$a\co{b}\co{c}$};
  523 + % --------------------------------
  524 + % \node [ sup,
  525 + % pin=90:\textcolor{blue!50}{$1$}]
  526 + % (Abc) at (7,6) {$\co{a}bc$};
  527 + % % --------------------------------
  528 + % \node [ sup,
  529 + % pin=270:\textcolor{blue!50}{$1$}]
  530 + % (AbC) at (8,6) {$\co{a}b\co{c}$};
  531 + % % --------------------------------
  532 + % \node [ sup,
  533 + % pin=270:\textcolor{blue!50}{$1$}]
  534 + % (ABc) at (9,6) {$\co{a}\co{b}c$};
  535 + % % --------------------------------
  536 + % \node [ sup,
  537 + % pin=270:\textcolor{blue!50}{$1$}]
  538 + % (ABC) at (10,6) {$\co{a}\co{b}\co{c}$};
  539 + % --------------------------------
374 % 540 %
  541 + % --------------------------------
375 \draw [->] (ab) to [out=270,in=180] (E); 542 \draw [->] (ab) to [out=270,in=180] (E);
376 \draw [->] (ab) to [out=270,in=90] (a); 543 \draw [->] (ab) to [out=270,in=90] (a);
377 \draw [->] (ab) to [out=270,in=90] (b); 544 \draw [->] (ab) to [out=270,in=90] (b);
378 \draw [->] (ab) to [out=90,in=270] (abc); 545 \draw [->] (ab) to [out=90,in=270] (abc);
  546 + \draw [->] (ab) to [out=90,in=270] (abC);
379 % 547 %
380 \draw [->] (ac) to [out=270,in=180] (E); 548 \draw [->] (ac) to [out=270,in=180] (E);
381 \draw [->] (ac) to [out=270,in=90] (a); 549 \draw [->] (ac) to [out=270,in=90] (a);
382 \draw [->] (ac) to [out=270,in=90] (c); 550 \draw [->] (ac) to [out=270,in=90] (c);
383 \draw [->] (ac) to [out=90,in=270] (abc); 551 \draw [->] (ac) to [out=90,in=270] (abc);
  552 + \draw [->] (ac) to [out=90,in=270] (aBc);
  553 + %
  554 + % \draw [->] (A) to [out=270,in=0] (E);
  555 + % %
  556 + % \draw [->] (A) to [out=90,in=270] (Abc);
  557 + % \draw [->] (A) to [out=90,in=270] (AbC);
  558 + % \draw [->] (A) to [out=90,in=270] (ABc);
  559 + % \draw [->] (A) to [out=90,in=270] (ABC);
  560 + % %
  561 + % \draw [->] (A) to [out=90,in=270] (Ab);
  562 + % \draw [->] (A) to [out=90,in=270] (Ac);
  563 + % \draw [->] (A) to [out=90,in=270] (AB);
  564 + % \draw [->] (A) to [out=90,in=270] (AC);
  565 + \end{tikzpicture}
  566 + \end{center}
  567 +\end{frame}
  568 +% ================================================================
  569 +\begin{frame}{Disjunction Example | The Events Lattice}
  570 + \begin{center}
  571 + \begin{tikzpicture}
  572 + % --------------------------------
  573 + %\draw [help lines, color=gray!20] grid (11,7);
  574 + % --------------------------------
  575 + \node [sm] (sm) at (5, 7) {$\pr{\Theta=\set{\co{a}}} = \co{0.3}$};
  576 + % --------------------------------
  577 + % \node [rrect] (sub) at (2, 7) {sub};
  578 + % --------------------------------
  579 + % \node [ fill=gray!10] (sup) at (3, 7) {sup};
  580 + % --------------------------------
  581 + % \node (ind) at (4, 7) {ind};
  582 + % --------------------------------
  583 + %
  584 + % --------------------------------
  585 + \node [ sub,
  586 + pin=45:\textcolor{violet}{$1$} ]
  587 + (E) at (5.5,0) {$\emptyset$};
  588 + % --------------------------------
  589 + %
  590 + % --------------------------------
  591 + % \node [ sub,
  592 + % pin=270:\textcolor{blue!75}{$1$} ]
  593 + % (a) at (1.5,1.5) {$a$};
  594 + % % --------------------------------
  595 + % \node [ sub,
  596 + % pin=270:\textcolor{blue!50}{$x$}]
  597 + % (b) at (0,1.5) {$b$};
  598 + % % --------------------------------
  599 + % \node [ sub,
  600 + % pin=270:\textcolor{blue!50}{$\co{x}$}]
  601 + (c) at (4.5,1.5) {$c$};
  602 + % --------------------------------
  603 + \node [ sm,
  604 + pin=45:\textcolor{teal}{$1$}]
  605 + (A) at (8.5,1.5) {$\co{a}$};
  606 + % --------------------------------
  607 + % \node [ ind,
  608 + % pin=270:\textcolor{purple}{$0$}]
  609 + % (B) at (9.5, 1.5) {$\co{b}$};
  610 + % % --------------------------------
  611 + % \node [ ind,
  612 + % pin=270:\textcolor{purple}{$0$}]
  613 + % (C) at (10.5, 1.5) {$\co{c}$};
  614 + % --------------------------------
  615 + %
  616 + % --------------------------------
  617 + % \node [ sm,
  618 + % pin=90:\textcolor{teal}{$x$}]
  619 + % (ab) at (0,4) {$ab$};
  620 + % % --------------------------------
  621 + % \node [ sm,
  622 + % pin=90:\textcolor{teal}{$\co{x}$}]
  623 + % (ac) at (3,4) {$ac$};
  624 + % % --------------------------------
  625 + % \node [ ind,
  626 + % pin=270:\textcolor{purple}{$0$}]
  627 + % (aB) at (1,4) {$a\co{b}$};
  628 + % % --------------------------------
  629 + % \node [ ind,
  630 + % pin=270:\textcolor{purple}{$0$}]
  631 + % (aC) at (2,4) {$a\co{c}$};
  632 + % --------------------------------
  633 + \node [ sup,
  634 + pin=135:\textcolor{blue!50}{$1$}]
  635 + (Ab) at (4,4) {$\co{a}b$};
  636 + % --------------------------------
  637 + \node [ sup,
  638 + pin=135:\textcolor{blue!50}{$1$}]
  639 + (Ac) at (5,4) {$\co{a}c$};
  640 + % --------------------------------
  641 + \node [ sup,
  642 + pin=135:\textcolor{blue!50}{$1$}]
  643 + (AB) at (6,4) {$\co{a}\co{b}$};
  644 + % --------------------------------
  645 + \node [ sup,
  646 + pin=135:\textcolor{blue!50}{$1$}]
  647 + (AC) at (7,4) {$\co{a}\co{c}$};
  648 + % --------------------------------
  649 + % \node [ ind,
  650 + % pin=270:\textcolor{purple}{$0$}]
  651 + % (bc) at (10,4) {$bc$};
  652 + % % --------------------------------
  653 + % \node [ ind,
  654 + % pin=270:\textcolor{purple}{$0$}]
  655 + % (bC) at (11,4) {$b\co{c}$};
  656 + % % --------------------------------
  657 + % \node [ ind,
  658 + % pin=270:\textcolor{purple}{$0$}]
  659 + % (Bc) at (9.5,3.5) {$\co{b}c$};
  660 + % % --------------------------------
  661 + % \node [ ind,
  662 + % pin=270:\textcolor{purple}{$0$}]
  663 + % (BC) at (10.5,3.5) {$\co{b}\co{c}$};
  664 + % --------------------------------
  665 + %
  666 + % --------------------------------
  667 + % \node [ sup,
  668 + % pin=90:\textcolor{blue!75}{$x\co{x}$}]
  669 + % (abc) at (1.5,6)
  670 + % {$abc$};
  671 + % % --------------------------------
  672 + % \node [ sup,
  673 + % pin=90:\textcolor{blue!50}{$x$}]
  674 + % (abC) at (0,6) {$ab\co{c}$};
  675 + % % --------------------------------
  676 + % \node [ sup,
  677 + % pin=90:\textcolor{blue!50}{$\co{x}$}]
  678 + % (aBc) at (3,6) {$a\co{b}c$};
  679 + % % --------------------------------
  680 + % \node [ ind,
  681 + % pin=90:\textcolor{purple}{$0$}]
  682 + % (aBC) at (5,6) {$a\co{b}\co{c}$};
  683 + % --------------------------------
  684 + \node [ sup,
  685 + pin=45:\textcolor{blue!50}{$1$}]
  686 + (Abc) at (7,6) {$\co{a}bc$};
  687 + % --------------------------------
  688 + \node [ sup,
  689 + pin=45:\textcolor{blue!50}{$1$}]
  690 + (AbC) at (8,6) {$\co{a}b\co{c}$};
  691 + % --------------------------------
  692 + \node [ sup,
  693 + pin=45:\textcolor{blue!50}{$1$}]
  694 + (ABc) at (9,6) {$\co{a}\co{b}c$};
  695 + % --------------------------------
  696 + \node [ sup,
  697 + pin=45:\textcolor{blue!50}{$1$}]
  698 + (ABC) at (10,6) {$\co{a}\co{b}\co{c}$};
  699 + % --------------------------------
  700 + %
  701 + % --------------------------------
  702 + % \draw [->] (ab) to [out=270,in=180] (E);
  703 + % \draw [->] (ab) to [out=270,in=90] (a);
  704 + % \draw [->] (ab) to [out=270,in=90] (b);
  705 + % \draw [->] (ab) to [out=90,in=270] (abc);
  706 + % \draw [->] (ab) to [out=90,in=270] (abC);
  707 + % %
  708 + % \draw [->] (ac) to [out=270,in=180] (E);
  709 + % \draw [->] (ac) to [out=270,in=90] (a);
  710 + % \draw [->] (ac) to [out=270,in=90] (c);
  711 + % \draw [->] (ac) to [out=90,in=270] (abc);
  712 + % \draw [->] (ac) to [out=90,in=270] (aBc);
384 % 713 %
385 \draw [->] (A) to [out=270,in=0] (E); 714 \draw [->] (A) to [out=270,in=0] (E);
386 % 715 %
@@ -415,22 +744,22 @@ rrect/.style={ @@ -415,22 +744,22 @@ rrect/.style={
415 w_d\at{x} = 0.\label{def:w.inconsistent} 744 w_d\at{x} = 0.\label{def:w.inconsistent}
416 \end{equation} 745 \end{equation}
417 % 746 %
418 - \item $z$ is an interpretation and $\lset{z} = \set{z} = \uset{z}$. Then $z$ is a stable model and \textbf{define} 747 + \item $z$ is an event and $\lset{z} = \set{z} = \uset{z}$. Then $z$ is a stable model and \textbf{define}
419 \begin{equation} 748 \begin{equation}
420 w_d\at{z} = w\at{z} = d\at{z} \pr{\theta_z}.\label{eq:prob.sm} 749 w_d\at{z} = w\at{z} = d\at{z} \pr{\theta_z}.\label{eq:prob.sm}
421 \end{equation} 750 \end{equation}
422 % 751 %
423 - \item $z$ is an interpretation and $\lset{z} \neq \emptyset \land \uset{x} = \emptyset$. Then \textbf{define} 752 + \item $z$ is an event and $\lset{z} \neq \emptyset \land \uset{x} = \emptyset$. Then \textbf{define}
424 \begin{equation} 753 \begin{equation}
425 w_d\at{z} = \sum_{s \in \lset{z}} w_d\at{s}.\label{def:w.disj} 754 w_d\at{z} = \sum_{s \in \lset{z}} w_d\at{s}.\label{def:w.disj}
426 \end{equation} 755 \end{equation}
427 % 756 %
428 - \item $z$ is an interpretation and $\lset{z} = \emptyset \land \uset{z} \neq \emptyset$. Then \textbf{define} 757 + \item $z$ is an event and $\lset{z} = \emptyset \land \uset{z} \neq \emptyset$. Then \textbf{define}
429 \begin{equation} 758 \begin{equation}
430 w_d\at{z} = \prod_{s \in \uset{z}} w_d\at{s}.\label{def:w.conj} 759 w_d\at{z} = \prod_{s \in \uset{z}} w_d\at{s}.\label{def:w.conj}
431 \end{equation} 760 \end{equation}
432 % 761 %
433 - \item $z$ is an interpretation and $\lset{z} = \emptyset \land \uset{z} = \emptyset$. Then \textbf{define} 762 + \item $z$ is an event and $\lset{z} = \emptyset \land \uset{z} = \emptyset$. Then \textbf{define}
434 \begin{equation} 763 \begin{equation}
435 w_d\at{z} = 0.\label{def:w.empty} 764 w_d\at{z} = 0.\label{def:w.empty}
436 \end{equation} 765 \end{equation}
@@ -442,7 +771,7 @@ rrect/.style={ @@ -442,7 +771,7 @@ rrect/.style={
442 % 771 %
443 \item The last point defines a ``weight'' function on the samples that depends not only on the total choices and stable models of a PASP but also on a certain function $d$ that must respect some conditions. To simplify the notation we use the subscript in $w_d$ only when necessary. 772 \item The last point defines a ``weight'' function on the samples that depends not only on the total choices and stable models of a PASP but also on a certain function $d$ that must respect some conditions. To simplify the notation we use the subscript in $w_d$ only when necessary.
444 % 773 %
445 - \item At first, it may seem counter-intuitive that $w\at{\emptyset} = \sum_{s\in\fml{S}} w\at{s}$ is the largest ``weight'' in the lattice. But $\emptyset$, as an interpretation, sets zero restrictions on the ``compatible'' stable models. The ``complement'' of $\bot = \emptyset$ is the \emph{maximal inconsistent} sample $\top = \fml{A} \cup \cset{\neg a }{ a \in \fml{A}}$. 774 + \item At first, it may seem counter-intuitive that $w\at{\emptyset} = \sum_{s\in\fml{S}} w\at{s}$ is the largest ``weight'' in the lattice. But $\emptyset$, as an event, sets zero restrictions on the ``compatible'' stable models. The ``complement'' of $\bot = \emptyset$ is the \emph{maximal inconsistent} sample $\top = \fml{A} \cup \cset{\neg a }{ a \in \fml{A}}$.
446 % 775 %
447 \item \textbf{We haven't yet defined a probability measure.} To do so we must define a set of samples $\Omega$, a set of events $F\subseteq \pset{\Omega}$ and a function $P:F\to\intcc{0,1}$ such that: 776 \item \textbf{We haven't yet defined a probability measure.} To do so we must define a set of samples $\Omega$, a set of events $F\subseteq \pset{\Omega}$ and a function $P:F\to\intcc{0,1}$ such that:
448 \begin{enumerate} 777 \begin{enumerate}
@@ -511,12 +840,12 @@ rrect/.style={ @@ -511,12 +840,12 @@ rrect/.style={
511 \end{frame} 840 \end{frame}
512 % ================================================================ 841 % ================================================================
513 \begin{frame} 842 \begin{frame}
514 - Suppose that we add an annotation $\alpha :: a$, which entails $\co{\alpha} :: \neg a$. This is enough to get $w\at{s_1} = \co{\alpha}$ but, on the absence of further information, no fixed probability can be assigned to either model $s_2, s_3$ except that the respective sum must be $\alpha$. So, expressing our lack of knowledge using a parameter $d \in \intcc{0, 1}$ we get: 843 + Suppose that we add an annotation $x :: a$, which entails $\co{x} :: \neg a$. This is enough to get $w\at{s_1} = \co{x}$ but, on the absence of further information, no fixed probability can be assigned to either model $s_2, s_3$ except that the respective sum must be $x$. So, expressing our lack of knowledge using a parameter $d \in \intcc{0, 1}$ we get:
515 $$ 844 $$
516 \begin{cases} 845 \begin{cases}
517 - w\at{s_1 } = &\co{\alpha}\cr  
518 - w\at{s_2 } = &d\alpha\cr  
519 - w\at{s_3} = &\co{d}\alpha. 846 + w\at{s_1 } = &\co{x}\cr
  847 + w\at{s_2 } = &dx\cr
  848 + w\at{s_3} = &\co{d}x.
520 \end{cases} 849 \end{cases}
521 $$ 850 $$
522 \end{frame} 851 \end{frame}
@@ -527,19 +856,19 @@ rrect/.style={ @@ -527,19 +856,19 @@ rrect/.style={
527 \begin{itemize} 856 \begin{itemize}
528 \item Negations are represented as \emph{e.g.} $\co{a}$ instead of $\neg a$; Stable models are denoted by shaded nodes as \tikz{\node[fill=gray!50] {$ab$}}. 857 \item Negations are represented as \emph{e.g.} $\co{a}$ instead of $\neg a$; Stable models are denoted by shaded nodes as \tikz{\node[fill=gray!50] {$ab$}}.
529 858
530 - \item Interpretations in $\lset{x}$ are \emph{e.g.} \tikz{\node[draw, circle] {$a$}} and those in $\uset{x}$ are \emph{e.g.} \tikz{\node[draw] {$\co{a}b$}}. The remaining are simply denoted by \emph{e.g.} \tikz{\node {$a\co{b}$}}. 859 + \item Events in $\lset{x}$ are \emph{e.g.} \tikz{\node[ circle] {$a$}} and those in $\uset{x}$ are \emph{e.g.} \tikz{\node[draw] {$\co{a}b$}}. The remaining are simply denoted by \emph{e.g.} \tikz{\node {$a\co{b}$}}.
531 860
532 - \item The edges connect stable models with related interpretations. Up arrow indicate links to $\uset{s}$ and down arrows to $\lset{s}$. 861 + \item The edges connect stable models with related events. Up arrow indicate links to $\uset{s}$ and down arrows to $\lset{s}$.
533 862
534 \item The \emph{weight propagation} sets: 863 \item The \emph{weight propagation} sets:
535 $$ 864 $$
536 \begin{aligned} 865 \begin{aligned}
537 - w\at{abc} &= w\at{ab} w\at{ac} = \alpha^2d\co{d}, \cr  
538 - w\at{\co{a}\cdot\cdot} &= w\at{\neg a} = \co{\alpha}, \cr  
539 - w\at{a} &= w\at{ab} + w\at{ac} = \alpha(d + \co{d}) = \alpha, \cr  
540 - w\at{b} &= w\at{ab} = d\alpha, \cr  
541 - w\at{c} &= w\at{ac} = \co{d}\alpha, \cr  
542 - w\at{\emptyset} &= w\at{ab} + w\at{ac} + w\at{\neg a} = d\alpha + \co{d}\alpha + \co{\alpha} = 1, \cr 866 + w\at{abc} &= w\at{ab} w\at{ac} = x^2d\co{d}, \cr
  867 + w\at{\co{a}\cdot\cdot} &= w\at{\neg a} = \co{x}, \cr
  868 + w\at{a} &= w\at{ab} + w\at{ac} = x(d + \co{d}) = x, \cr
  869 + w\at{b} &= w\at{ab} = dx, \cr
  870 + w\at{c} &= w\at{ac} = \co{d}x, \cr
  871 + w\at{\emptyset} &= w\at{ab} + w\at{ac} + w\at{\neg a} = dx + \co{d}x + \co{x} = 1, \cr
543 w\at{a\co{b}} &= 0. 872 w\at{a\co{b}} &= 0.
544 \end{aligned} 873 \end{aligned}
545 $$ 874 $$
@@ -551,16 +880,16 @@ rrect/.style={ @@ -551,16 +880,16 @@ rrect/.style={
551 &+ w\at{a}+ w\at{b}+ w\at{c}\cr 880 &+ w\at{a}+ w\at{b}+ w\at{c}\cr
552 &+ w\at{\emptyset}\cr 881 &+ w\at{\emptyset}\cr
553 % 882 %
554 - &= - \alpha^{2} d^{2} + \alpha^{2} d + 2 \alpha d - 7 \alpha + 10 883 + &= - x^{2} d^{2} + x^{2} d + 2 x d - 7 x + 10
555 \end{aligned} 884 \end{aligned}
556 $$ 885 $$
557 - \item Now, if $\alpha$ has an annotation to \emph{e.g.} $0.3$ we get 886 + \item Now, if $x$ has an annotation to \emph{e.g.} $0.3$ we get
558 $$ 887 $$
559 Z = - 0.09 d^{2} + 0.69 d + 7.9 888 Z = - 0.09 d^{2} + 0.69 d + 7.9
560 $$ 889 $$
561 \item Now some statistics are possible. For example we get 890 \item Now some statistics are possible. For example we get
562 $$ 891 $$
563 - \pr{abc \mid \alpha = 0.3} = \frac{0.09 d \left(d - 1\right)}{0.09 d^{2} - 0.69 d - 7.9} 892 + \pr{abc \mid x = 0.3} = \frac{0.09 d \left(d - 1\right)}{0.09 d^{2} - 0.69 d - 7.9}
564 $$. 893 $$.
565 894
566 \item This expression can be plotted for $d\in\intcc{0,1}$ 895 \item This expression can be plotted for $d\in\intcc{0,1}$
@@ -571,7 +900,7 @@ rrect/.style={ @@ -571,7 +900,7 @@ rrect/.style={
571 \item If a data set $E$ entails \emph{e.g.} $\pr{abc \mid E} = 0.0015$ we can numerically solve 900 \item If a data set $E$ entails \emph{e.g.} $\pr{abc \mid E} = 0.0015$ we can numerically solve
572 $$ 901 $$
573 \begin{aligned} 902 \begin{aligned}
574 - \pr{abc \mid \alpha = 0.3} &= \pr{abc \mid E} \cr 903 + \pr{abc \mid x = 0.3} &= \pr{abc \mid E} \cr
575 \iff\cr 904 \iff\cr
576 \frac{0.09 d \del{d - 1}}{0.09 d^{2} - 0.69 d - 7.9} &= 0.0015 905 \frac{0.09 d \del{d - 1}}{0.09 d^{2} - 0.69 d - 7.9} &= 0.0015
577 \end{aligned} 906 \end{aligned}
@@ -613,9 +942,9 @@ rrect/.style={ @@ -613,9 +942,9 @@ rrect/.style={
613 % ================================================================ 942 % ================================================================
614 \begin{frame} 943 \begin{frame}
615 944
616 - Looking into probabilistic interpretations of the program and/or its models, we define $\alpha = \pr{\Theta = \theta_1}\in\intcc{0, 1}$ and $\pr{\Theta = \theta_2} = \co{\alpha}$. 945 + Looking into probabilistic events of the program and/or its models, we define $x = \pr{\Theta = \theta_1}\in\intcc{0, 1}$ and $\pr{\Theta = \theta_2} = \co{x}$.
617 946
618 - Since $s_1$ is the only stable model that results from $\Theta = \theta_1$, it is natural to extend $\pr{ s_1 } = \pr{\Theta = \theta_1} = \alpha$. However, there is no clear way to assign $\pr{s_2}, \pr{s_3}$ since \emph{both models result from the single total choice} $\Theta = \theta_2$. Clearly, 947 + Since $s_1$ is the only stable model that results from $\Theta = \theta_1$, it is natural to extend $\pr{ s_1 } = \pr{\Theta = \theta_1} = x$. However, there is no clear way to assign $\pr{s_2}, \pr{s_3}$ since \emph{both models result from the single total choice} $\Theta = \theta_2$. Clearly,
619 $$\pr{s_2 \mid \Theta} + \pr{s_3 \mid \Theta} = 948 $$\pr{s_2 \mid \Theta} + \pr{s_3 \mid \Theta} =
620 \begin{cases} 949 \begin{cases}
621 0 & \text{if}~\Theta = \theta_1\cr 950 0 & \text{if}~\Theta = \theta_1\cr
@@ -639,13 +968,13 @@ rrect/.style={ @@ -639,13 +968,13 @@ rrect/.style={
639 \begin{array}{cc|l} 968 \begin{array}{cc|l}
640 A, B, C& P & \text{Obs.}\cr 969 A, B, C& P & \text{Obs.}\cr
641 \hline 970 \hline
642 - a, \neg b, c & \alpha & s_1, \Theta=\theta_1\cr  
643 - \neg a, b, \neg c & \co{\alpha}\beta & s_2, \Theta=\theta_2\cr  
644 - \neg a, \neg b, c & \co{\alpha}\co{\beta} & s_3, \Theta=\theta_2\cr 971 + a, \neg b, c & x & s_1, \Theta=\theta_1\cr
  972 + \neg a, b, \neg c & \co{x}\beta & s_2, \Theta=\theta_2\cr
  973 + \neg a, \neg b, c & \co{x}\co{\beta} & s_3, \Theta=\theta_2\cr
645 \ast & 0&\text{not stable models} 974 \ast & 0&\text{not stable models}
646 \end{array} 975 \end{array}
647 $$ 976 $$
648 - where $\alpha, \beta\in\intcc{0,1}$. 977 + where $x, \beta\in\intcc{0,1}$.
649 \end{frame} 978 \end{frame}
650 % ================================================================ 979 % ================================================================
651 \section{Conclusions} 980 \section{Conclusions}
@@ -680,14 +1009,14 @@ rrect/.style={ @@ -680,14 +1009,14 @@ rrect/.style={
680 1009
681 \item The \deft{Herbrand base} of a program is the set of ground literals that result from combining all the predicates and constants of the program. 1010 \item The \deft{Herbrand base} of a program is the set of ground literals that result from combining all the predicates and constants of the program.
682 \begin{itemize} 1011 \begin{itemize}
683 - \item An \deft{interpretation} is a consistent subset (\emph{i.e.} doesn't contain $\set{a, \neg a}$) of the Herbrand base.  
684 - \item Given an interpretation $I$, a ground literal $a$ is \deft{true}, $I \models a$, if $a \in I$; otherwise the literal is \deft{false}. 1012 + \item An \deft{event} is a consistent subset (\emph{i.e.} doesn't contain $\set{a, \neg a}$) of the Herbrand base.
  1013 + \item Given an event $I$, a ground literal $a$ is \deft{true}, $I \models a$, if $a \in I$; otherwise the literal is \deft{false}.
685 \item A ground subgoal, $\naf b$, where $b$ is a ground literal, is \deft{true}, $I \models \naf b$, if $b \not\in I$; otherwise, if $b \in I$, it is \deft{false}. 1014 \item A ground subgoal, $\naf b$, where $b$ is a ground literal, is \deft{true}, $I \models \naf b$, if $b \not\in I$; otherwise, if $b \in I$, it is \deft{false}.
686 - \item A ground rule $r = h_1 \vee \cdots \vee h_m \leftarrow b_1 \wedge \cdots \wedge b_n$ is \deft{satisfied} by the interpretation $I$, \emph{i.e.} $I \models r$, iff 1015 + \item A ground rule $r = h_1 \vee \cdots \vee h_m \leftarrow b_1 \wedge \cdots \wedge b_n$ is \deft{satisfied} by the event $I$, \emph{i.e.} $I \models r$, iff
687 $$ 1016 $$
688 \forall j \exists i~I \models b_j \implies I \models h_i. 1017 \forall j \exists i~I \models b_j \implies I \models h_i.
689 $$ 1018 $$
690 - \item A \deft{model} of a program is an interpretation that satisfies all its rules. Denote $\fml{M}_P$ the set of all models of $P$. 1019 + \item A \deft{model} of a program is an event that satisfies all its rules. Denote $\fml{M}_P$ the set of all models of $P$.
691 \end{itemize} 1020 \end{itemize}
692 1021
693 \item The \deft{dependency graph} of a program is a digraph where: 1022 \item The \deft{dependency graph} of a program is a digraph where:
@@ -701,16 +1030,16 @@ rrect/.style={ @@ -701,16 +1030,16 @@ rrect/.style={
701 \end{itemize} 1030 \end{itemize}
702 \item Every \emph{definite program} has a unique minimal model: its \deft{semantic}. 1031 \item Every \emph{definite program} has a unique minimal model: its \deft{semantic}.
703 \item Programs with negation may have no unique minimal model. 1032 \item Programs with negation may have no unique minimal model.
704 - \item Given a program $P$ and an interpretation $I$, their \deft{reduct}, $P^I$, is the propositional program that results from 1033 + \item Given a program $P$ and an event $I$, their \deft{reduct}, $P^I$, is the propositional program that results from
705 \begin{enumerate} 1034 \begin{enumerate}
706 \item Removing all the rules with $\naf b$ in the body where $b \in I$. 1035 \item Removing all the rules with $\naf b$ in the body where $b \in I$.
707 \item Removing all the $\naf b$ subgoals from the remaining rules. 1036 \item Removing all the $\naf b$ subgoals from the remaining rules.
708 \end{enumerate} 1037 \end{enumerate}
709 - \item A \deft{stable model} (or \deft{answer set}) of the program $P$ is an interpretation $I$ that is the minimal model of the reduct $P^I$. 1038 + \item A \deft{stable model} (or \deft{answer set}) of the program $P$ is an event $I$ that is the minimal model of the reduct $P^I$.
710 \item Denote $\fml{S}_P$ the set of all stable models of program $P$. The \deft{semantics} (or \deft{answer sets}) of a program $P$ is the set $\fml{S}_P$. 1039 \item Denote $\fml{S}_P$ the set of all stable models of program $P$. The \deft{semantics} (or \deft{answer sets}) of a program $P$ is the set $\fml{S}_P$.
711 \begin{itemize} 1040 \begin{itemize}
712 \item Some programs, such as $a \leftarrow \naf a$, have no stable models. 1041 \item Some programs, such as $a \leftarrow \naf a$, have no stable models.
713 - \item A stable model is an interpretation closed under the rules of the program. 1042 + \item A stable model is an event closed under the rules of the program.
714 \end{itemize} 1043 \end{itemize}
715 \end{itemize} 1044 \end{itemize}
716 \end{frame} 1045 \end{frame}
text/00_PASP.toc
View file @237d62b
@@ -1,6 +0,0 @@ @@ -1,6 +0,0 @@
1 -\beamer@sectionintoc {1}{Introduction}{2}{0}{1}  
2 -\beamer@sectionintoc {2}{Extending Probability to Samples}{11}{0}{2}  
3 -\beamer@sectionintoc {3}{Cases \& Examples}{18}{0}{3}  
4 -\beamer@subsectionintoc {3}{1}{Programs with disjunctive heads}{19}{0}{3}  
5 -\beamer@subsectionintoc {3}{2}{Non-stratified programs}{23}{0}{3}  
6 -\beamer@sectionintoc {4}{Conclusions}{28}{0}{4}  
text/00_PASP.xdv
View file @53b3b48
No preview for this file type
text/pre-paper.pdf 0 → 100644
View file @53b3b48
No preview for this file type
text/pre-paper.tex 0 → 100644
  Diff comments   View file @53b3b48
@@ -0,0 +1,134 @@ @@ -0,0 +1,134 @@
  1 +\documentclass[a4paper]{article}
  2 +\usepackage{hyperref}
  3 +\hypersetup{
  4 + colorlinks=true,
  5 + linkcolor=blue,
  6 +}
  7 +\usepackage{commath}
  8 +\usepackage{amssymb}
  9 +%
  10 +% Local commands
  11 +%
  12 +\newcommand{\todo}[1]{{\color{orange}TODO #1}}
  13 +\newcommand{\naf}{\ensuremath{\sim\!}}
  14 +\newcommand{\larr}{\ensuremath{\leftarrow}}
  15 +\newcommand{\at}[1]{\ensuremath{\!\del{#1}}}
  16 +\newcommand{\co}[1]{\ensuremath{\overline{#1}}}
  17 +\newcommand{\fml}[1]{\ensuremath{{\cal #1}}}
  18 +\newcommand{\deft}[1]{\textbf{#1}}
  19 +\newcommand{\pset}[1]{\ensuremath{\mathbb{P}\at{#1}}}
  20 +\newcommand{\ent}{\ensuremath{\lhd}}
  21 +\newcommand{\cset}[2]{\ensuremath{\set{#1,~#2}}}
  22 +\newcommand{\langof}[1]{\ensuremath{\fml{L}\at{#1}}}
  23 +\newcommand{\uset}[1]{\ensuremath{\left|{#1}\right>}}
  24 +\newcommand{\lset}[1]{\ensuremath{\left<{#1}\right|}}
  25 +\newcommand{\pr}[1]{\ensuremath{\mathrm{p}\at{#1}}}
  26 +\newcommand{\given}{\ensuremath{~\middle|~}}
  27 +
  28 +\title{Zugzwang\\\textit{Logic and Artificial Intelligence}}
  29 +\author{Francisco Coelho\\ \texttt{fc@uevora.pt}}
  30 +
  31 +\begin{document}
  32 +\maketitle
  33 +
  34 +\begin{abstract}
  35 + A major limitation of logical representations is the implicit assumption that the Background Knowledge (BK) is perfect. This assumption is problematic if data is noisy, which is often the case. Here we aim to explore how ASP specifications with probabilistic facts can lead to characterizations of probability functions on the specification's domain.
  36 +\end{abstract}
  37 +
  38 +\section{Introduction and Motivation }
  39 +
  40 +Answer Set Programming (ASP) is a logic programming paradigm based on the Stable Model semantics of Normal Logic Programs (NP) that can be implemented using the latest advances in SAT solving technology. ASP is a truly declarative language that supports language constructs such as disjunction in the head of a clause, choice rules, and hard and weak constraints.
  41 +
  42 +The Distribution Semantics (DS) is a key approach to extend logical representations with probabilistic reasoning. Probabilistic Facts (PF) are the most basic stochastic DS primitive and they take the form of logical facts, $a$, labelled with a probability, such as $p::a$; Each probabilistic fact represents a boolean random variable that is true with probability $p$ and false with probability $1 - p$. A (consistent) combination of the PFs defines a \textit{total choice} $c = \set{p::a, \ldots}$ such that
  43 +
  44 +\begin{equation}
  45 + P(c) = \prod_{a\in c} p \prod_{a \not\in c} (1- p).
  46 +\end{equation}
  47 +
  48 +Our goal is to extend this probability, from total choices, to cover the specification domain. We can foresee two key applications of this extended probability:
  49 +
  50 +\begin{enumerate}
  51 + \item Support any probabilistic reasoning/task on the specification domain.
  52 + \item Also, given a dataset and a divergence measure, now the specification can be scored (by the divergence w.r.t. the \emph{empiric} distribution of the dataset), and sorted amongst other specifications. This is a key ingredient in algorithms searching, for example, an \textit{optimal specification} of the dataset.
  53 +\end{enumerate}
  54 +
  55 +This goal faces a critical problem concerning situations where \textit{multiple} standard models result from a given total choice, illustrated by the following example. The specification
  56 +$$
  57 +\begin{aligned}
  58 + 0.3::a&,\cr
  59 + b \vee c& \leftarrow a.
  60 +\end{aligned}
  61 +$$
  62 +has three stable models, $\set{\neg a}, \set{a, b}$ and $\set{a, c}$. While it is straightforward to set $P(\neg a)=0.7$, there is \textit{no further information} to assign values to $P(a,b)$ and $P(a,c)$. At best, we can use a parameter $\alpha$ such that
  63 +$$
  64 +\begin{aligned}
  65 +P(a,b) &= 0.3 \alpha,\cr
  66 +P(a,c) &= 0.3 (1 - \alpha).
  67 +\end{aligned}
  68 +$$
  69 +
  70 +This uncertainty in inherent to the specification, but can be mitigated with the help of a dataset: the parameter $\alpha$ can be estimated from the empirical distribution.
  71 +
  72 +In summary, if an ASP specification is intended to describe some system that can be observed then:
  73 +
  74 +\begin{enumerate}
  75 + \item The observations can be used to estimate the value of the parameters (such as $\alpha$ above and others entailed from further clauses).
  76 + \item With a probability set for the stable models, we want to extend it to all the samples (\textit{i.e.} consistent sets of literals) of the specification.
  77 + \item This extended probability can then be related to the \textit{empirical distribution}, using a probability divergence, such as Kullback-Leibler; and the divergence value used as a \textit{performance} measure of the specification with respect to the observations.
  78 + \item If that specification is only but one of many possible candidates then that performance measure can be used, \textit{e.g.} as fitness, by algorithms searching (optimal) specifications of a dataset of observations.
  79 +\end{enumerate}
  80 +
  81 +Currently, we are on the step two above: Extending a probability function (with parameters such as $\alpha$), defined on the stable sets of a specification, to all the samples of the specification. This extension must, of course, respect the axioms of probability so that probabilistic reasoning is consistent with the ASP specification.
  82 +
  83 +\section{Extending Probabilities}
  84 +
  85 +Given an ASP specification, we look at the \textit{total choices} $\fml{C}$, \textit{stable models} $\fml{S}$, \textit{atoms} and \textit{literals} $\fml{A}, \fml{L}$, \textit{samples} $z \in \fml{Z} \iff z \subseteq \fml{L}$ and \textit{events} $\fml{E}$ (consistent samples).
  86 +
  87 +\begin{enumerate}
  88 + \item \textbf{Given} $\pr{C = c}$ from the specification. Each total choice $C = c$ (together with the specification facts and rules) entails some stable models, $S_c$.
  89 + \item \textbf{Given} $\pr{S = s \given C = c}$ such that its value is zero if $s \not\in S_c$.
  90 + \item Each event $E = e$ either:
  91 + \begin{enumerate}
  92 + \item Is a stable model. Then
  93 + \begin{equation}
  94 + \pr{E = e \given C = c} = \pr{S = e \given C = c}.
  95 + \end{equation}
  96 + \item \textit{Is contained} in some stable models. Then
  97 + \begin{equation}
  98 + \pr{E = e \given C = c} = \sum_{s \supseteq e}\pr{S = s \given C = c}.
  99 + \end{equation}
  100 + \item \textit{Contains} some stable models. Then
  101 + \begin{equation}
  102 + \pr{E = e \given C = c} = \prod_{s \subseteq e}\pr{S = s \given C = c}.
  103 + \end{equation}
  104 + \item Neither contains nor is contained by a stable model. Then
  105 + \begin{equation}
  106 + \pr{E = e \given C = c} = 0.
  107 + \end{equation}
  108 + \end{enumerate}
  109 + \item For each sample $Z = z$
  110 + \begin{equation}
  111 + \pr{Z = z \given C = c} = \begin{cases}
  112 + \pr{E = z \given C = c} & z \in \fml{E}, \cr
  113 + 0 & \text{otherwise}.
  114 + \end{cases}
  115 + \end{equation}
  116 +\end{enumerate}
  117 +
  118 +\begin{quotation}\marginpar{Todo} Prove the four event cases, and support the sum/product options, with the independence assumptions.
  119 +\end{quotation}
  120 +
  121 +
  122 +
  123 +\section*{References}
  124 +
  125 +
  126 +\begin{enumerate}
  127 + \item Victor Verreet, Vincent Derkinderen, Pedro Zuidberg Dos Martires, Luc De Raedt, Inference and Learning with Model Uncertainty in Probabilistic Logic Programs (2022)
  128 + \item Andrew Cropper, Sebastijan Dumancic, Richard Evans, Stephen H. Muggleton, Inductive logic programming at 30 (2021)
  129 + \item Fabio Gagliardi Cozman, Denis Deratani Mauá, The joy of Probabilistic Answer Set Programming: Semantics - complexity, expressivity, inference (2020)
  130 + \item Fabrizio Riguzzi, Foundations of Probabilistic Logic Programming Languages, Semantics, Inference and Learning. Rivers Publishers (2018)
  131 + \item Martin Gebser, Roland Kaminski, Benjamin Kaufmann, and Torsten Schaub, Answer Set Solving in Practice, Morgan \& Claypool Publishers (2013)
  132 +\end{enumerate}
  133 +
  134 +\end{document}
0 \ No newline at end of file 135 \ No newline at end of file