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\cite[Proposition~5]{szamuely} schemes is introduced in \cite[Proposition~5]{szamuely}. + +The book \cite{knuth68} is still unfinished. + +\cite{knuth68, szamuely} + +\begin{thebibliography}{999} + \bibitem{knuth68} + Donald Knuth, + \emph{The Art of Computer Programming}, + Volume I, Addison-Wesley, 1968. + + \bibitem{lang-algebra} + Serge Lang, + \emph{Algebra}, + Springer, + 2002. + + \bibitem{szamuely} + Tamás Szamuely, + \emph{Galois Groups and Fundamental Groups}, + Cambridge University Press, + 2009. +\end{thebibliography} + +\end{document} \ No newline at end of file diff --git a/src/Lecture2/live/biblio2.aux b/src/Lecture2/live/biblio2.aux new file mode 100644 index 0000000..16c1b60 --- /dev/null +++ b/src/Lecture2/live/biblio2.aux @@ -0,0 +1,10 @@ +\relax +\citation{knuth68} +\citation{th} +\citation{rudin} +\bibstyle{alpha} +\bibdata{my_biblio} +\bibcite{knuth68}{Knu68} +\bibcite{rudin}{Rud62} +\bibcite{th}{Tro22} +\gdef \@abspage@last{1} diff --git 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objects within 1 object stream + 0 named destinations out of 1000 (max. 500000) + 1 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/src/Lecture2/live/biblio2.pdf b/src/Lecture2/live/biblio2.pdf new file mode 100644 index 0000000..fac5bce Binary files /dev/null and b/src/Lecture2/live/biblio2.pdf differ diff --git a/src/Lecture2/live/biblio2.synctex.gz b/src/Lecture2/live/biblio2.synctex.gz new file mode 100644 index 0000000..2510660 Binary files /dev/null and b/src/Lecture2/live/biblio2.synctex.gz differ diff --git a/src/Lecture2/live/biblio2.tex b/src/Lecture2/live/biblio2.tex new file mode 100644 index 0000000..4997a0a --- /dev/null +++ b/src/Lecture2/live/biblio2.tex @@ -0,0 +1,18 @@ +\documentclass[10pt,a5paper]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry} +\begin{document} + +\cite{knuth68} + +You can find my results in \cite{th} + +We can also refer to this book \cite{rudin} + +\bibliographystyle{alpha} +\bibliography{my_biblio} + +\end{document} \ No newline at end of file diff --git a/src/Lecture2/live/commands.aux b/src/Lecture2/live/commands.aux new file mode 100644 index 0000000..b640121 --- /dev/null +++ b/src/Lecture2/live/commands.aux @@ -0,0 +1,2 @@ +\relax +\gdef \@abspage@last{1} diff --git a/src/Lecture2/live/commands.log b/src/Lecture2/live/commands.log new file mode 100644 index 0000000..e65a5e6 --- /dev/null +++ b/src/Lecture2/live/commands.log @@ -0,0 +1,215 @@ +This is pdfTeX, Version 3.14159265-2.6-1.40.21 (TeX Live 2020/VoidLinux) (preloaded format=pdflatex 2021.2.3) 12 MAR 2021 15:47 +entering extended mode + restricted \write18 enabled. + %&-line parsing enabled. +**commands.tex +(./commands.tex +LaTeX2e <2020-10-01> patch level 2 +L3 programming layer <2020-12-03> xparse <2020-03-03> +(/usr/share/texmf-dist/tex/latex/base/article.cls +Document Class: article 2020/04/10 v1.4m 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+\renewcommand{\themythm}{\arabic{section},\Alph{mythm}} + + +\numberwithin{equation}{section} + +\renewcommand{\theequation}{\arabic{section}.\arabic{equation}} + +\begin{document} + +\maketitle + + +\section{Text} + +abc + +\begin{align} +1+1=2 +\end{align} + +The section \ref{ts} contains theorems + +\section{inbetween} + +\section{Last section} +\label{ts} + + +\begin{prop} +A less important fact +\end{prop} + +\begin{mythm}[Gauss] +\label{gaussthm} +The equation \(2+x=4\) is true for \(x=2\). +\begin{align} +\label{eq} +\sum_{i=1}^ni +\end{align} +\end{mythm} + +The above equation \eqref{eq} is not an equation + +\arabic{equation} + + +\setcounter{defi}{23} +\begin{defi} +a definition +\end{defi} + +\setcounter{mythm}{10} +\begin{mythm} +Another important fact. +\end{mythm} + +\begin{warning} +It is a common mistake to think that \(2+2=5\) +\end{warning} + + +\vspace{1cm} + +\begin{enumerate}[label=(\Roman*)] + \item an item + \item another one +\end{enumerate} + +\arabic{enumi} + 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Let's make this sentence longer than one line. + +{\Huge Large words} + +%\appendix + +\section{Math mode} + +This is an inline formula \( \displaystyle \sum_i \frac{i}{22} \), it appears within the text + +This is a displaystyle formula \[ \textstyle \sum_{\alpha=0}^{2^{10}} \frac2 \alpha{22} \] it appears on its own line + +How sqrt works: \( \sqrt[\phi]{25} \) + + + +\begin{flalign} +\label{eq} +e^x &= \left(\sum_{i=0}^\infty \frac{x^i}{i!} \right) = & \\ +&= \left( 1 + x + \frac{x^2}2 \right)+ \frac{x^3}{6} + \cdots \nonumber +\end{flalign} + +\[ + \left\{ x \in \reals \quad \text{such that} \quad \frac{ \sinus(x)}{x^2}>0 \right\}\reals +\] + +\[ \sum_i \] + +The first equation we wrote is \eqref{eq} + +\section{Environments} + +\subsection{Lists} +\label{subsectionLists} + +\begin{itemize} + \item One \textbf{item} + \item Another \(2+2=4\) + \item a third one \[\sum_{i=0}^n\] + \item A sublist: + \begin{itemize} + \item[+] First subitem + \item[+] and so on + \end{itemize} + \item Again in the main list +\end{itemize} + +\begin{enumerate}[label=\Roman*] + \item One + \item Two + \item Actually three + \item Three (or not) +\end{enumerate} + +\subsection*{Tables} + +Let's write a table: + +\vspace{1cm} +\begin{tabular}{r||l|c} +\hline +This is a table & second column & third column \\ +\hline +Things & a & \( 2+2 = 4 \)\\ +\hline +more things & b & c +\end{tabular} + +\vspace{1cm} +\[ + \left(\begin{array}{cc} + \int_0^1 e^x & \frac{2}{25} \\ + 0 & 0 \\ + 1111 & 234\alpha + \end{array}\right) +\] + +\[ + \begin{pmatrix} + \int_0^1 e^x & \frac{2}{25} \\ + 0 & 0 \\ + 1111 & 234\alpha + \end{pmatrix} +\] + +\[ +\begin{pmatrix} +1 & 2\\ +3 & 4 +\end{pmatrix} +\overset{L2\rightarrow L2+L3}\longrightarrow +\begin{pmatrix} +1 & 2\\ +4 & 6 +\end{pmatrix} +\] + +\section{Last section} + +In section \ref{subsectionLists} we saw how to write lists + +\begin{mythm}[Gauss] +The equation \(2+x=4\) is true for \(x=2\). +\end{mythm} + +\begin{prop} +A less important fact 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10000 (max. 10000000) + diff --git a/src/Lecture2/live/pic.pdf b/src/Lecture2/live/pic.pdf new file mode 100644 index 0000000..23c2a88 Binary files /dev/null and b/src/Lecture2/live/pic.pdf differ diff --git a/src/Lecture2/live/pic.synctex.gz b/src/Lecture2/live/pic.synctex.gz new file mode 100644 index 0000000..b9f4f3e Binary files /dev/null and b/src/Lecture2/live/pic.synctex.gz differ diff --git a/src/Lecture2/live/pic.tex b/src/Lecture2/live/pic.tex new file mode 100644 index 0000000..d4d3a45 --- /dev/null +++ b/src/Lecture2/live/pic.tex @@ -0,0 +1,34 @@ +\documentclass[10pt,a5paper]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry} + +\usepackage{graphicx} +\usepackage{lipsum} +\usepackage{xcolor} +\usepackage{float} +\usepackage{wrapfig} + +\setlength{\parindent}{0cm} +\setlength{\parskip}{1cm} + +\begin{document} + +\begin{wrapfigure}{l}{0.5\textwidth} +\centering 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[ preamble ] result: +* driver: pdftex +* paper: a5paper +* layout: +* layoutoffset:(h,v)=(0.0pt,0.0pt) +* modes: +* h-part:(L,W,R)=(56.9055pt, 307.28978pt, 56.9055pt) +* v-part:(T,H,B)=(56.9055pt, 483.69687pt, 56.9055pt) +* \paperwidth=421.10078pt +* \paperheight=597.50787pt +* \textwidth=307.28978pt +* \textheight=483.69687pt +* \oddsidemargin=-15.36449pt +* \evensidemargin=-15.36449pt +* \topmargin=-52.36449pt +* \headheight=12.0pt +* \headsep=25.0pt +* \topskip=10.0pt +* \footskip=30.0pt +* \marginparwidth=3.0pt +* \marginparsep=11.0pt +* \columnsep=10.0pt +* \skip\footins=9.0pt plus 4.0pt minus 2.0pt +* \hoffset=0.0pt +* \voffset=0.0pt +* \mag=1000 +* \@twocolumnfalse +* \@twosidefalse +* \@mparswitchfalse +* \@reversemarginfalse +* (1in=72.27pt=25.4mm, 1cm=28.453pt) + +(/usr/share/texmf-dist/tex/context/base/mkii/supp-pdf.mkii +[Loading MPS to PDF converter (version 2006.09.02).] +\scratchcounter=\count268 +\scratchdimen=\dimen156 +\scratchbox=\box50 +\nofMPsegments=\count269 +\nofMParguments=\count270 +\everyMPshowfont=\toks24 +\MPscratchCnt=\count271 +\MPscratchDim=\dimen157 +\MPnumerator=\count272 +\makeMPintoPDFobject=\count273 +\everyMPtoPDFconversion=\toks25 +) +LaTeX Font Info: Trying to load font information for U+msa on input line 35. + + (/usr/share/texmf-dist/tex/latex/amsfonts/umsa.fd +File: umsa.fd 2013/01/14 v3.01 AMS symbols A +) +LaTeX Font Info: Trying to load font information for U+msb on input line 35. + + +(/usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd +File: umsb.fd 2013/01/14 v3.01 AMS symbols B +) [1 + +{/usr/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] (./sentencecounter.a +ux) ) +Here is how much of TeX's memory you used: + 3042 strings out of 479383 + 39191 string characters out of 5875799 + 322429 words of memory out of 5000000 + 20164 multiletter control sequences out of 15000+600000 + 406032 words of font info for 38 fonts, out of 8000000 for 9000 + 1141 hyphenation exceptions out of 8191 + 66i,9n,72p,232b,133s stack positions out of 5000i,500n,10000p,200000b,80000s + +Output written on sentencecounter.pdf (1 page, 76925 bytes). +PDF statistics: + 44 PDF objects out of 1000 (max. 8388607) + 31 compressed objects within 1 object stream + 0 named destinations out of 1000 (max. 500000) + 1 words of extra memory for PDF output out of 10000 (max. 10000000) + diff --git a/src/Lecture2/live/sentencecounter.pdf b/src/Lecture2/live/sentencecounter.pdf new file mode 100644 index 0000000..7c0d117 Binary files /dev/null and b/src/Lecture2/live/sentencecounter.pdf differ diff --git a/src/Lecture2/live/sentencecounter.synctex.gz b/src/Lecture2/live/sentencecounter.synctex.gz new file mode 100644 index 0000000..7217772 Binary files /dev/null and b/src/Lecture2/live/sentencecounter.synctex.gz differ diff --git a/src/Lecture2/live/sentencecounter.tex b/src/Lecture2/live/sentencecounter.tex new file mode 100644 index 0000000..6428918 --- /dev/null +++ b/src/Lecture2/live/sentencecounter.tex @@ -0,0 +1,66 @@ +\documentclass[10pt,a5paper]{article} +\usepackage[utf8]{inputenc} +\usepackage{amsmath} +\usepackage{amsfonts} +\usepackage{amssymb} +\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry} + +\usepackage{xcolor} + +\newcounter{sentence}[section] +\renewcommand{\thesentence}{[\thesection,\arabic{sentence}]} + +\newcommand{\R}{\mathbb{R}} +\newcommand{\words}{blah bla blha} + +\newcommand{\todo}[1]{{\color{red}\large TODO: #1}} + +\newcommand{\sent}[1]{\refstepcounter{sentence}#1\textsuperscript{\arabic{sentence}}} + +\newcommand{\mymatrix}[4]{\begin{pmatrix} +#1 & #2 \\ +#3 & #4 +\end{pmatrix}} + +\newcommand{\twocases}[4]{\begin{cases} +#1 & #2 \\ +#3 & #4 +\end{cases}} + + +\begin{document} + +\section{First section} + +\sent{A sentence before the first one} + +\sent{This is a sentence.} +\label{s1} +\sent{This is another sentence.} + +\todo{finish the first section} + +This is a longer sentence that takes more than one line line maybe~no still it random words to show that how tilde works i dont know Theorem~10 + +\section{Second section} + +\sent{A sentence in the second section.} +\label{sanother} + +\vspace{2cm} + +In sentence~\ref{s1}... \todo{what did I want to say?} + +\[ \R \] + +\words + +\[ +\mymatrix{x}{a_{2,2}}{0}{f(10)} +\] + +\[ +f(x)=\twocases{x^2}{\text{if }x>0}{-x^3}{\text{otherwise.}} +\] + +\end{document} \ No newline at end of file -- cgit v1.3