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1\relax
2\citation{szamuely}
3\citation{szamuely}
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diff --git a/src/Lecture2/live/biblio1.log b/src/Lecture2/live/biblio1.log
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diff --git a/src/Lecture2/live/biblio1.pdf b/src/Lecture2/live/biblio1.pdf
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diff --git a/src/Lecture2/live/biblio1.tex b/src/Lecture2/live/biblio1.tex
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1\documentclass[10pt,a5paper]{article}
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7\begin{document}
8
9The theory of the étale fundamental group of affdssf \cite[Proposition~5]{szamuely} schemes is introduced in \cite[Proposition~5]{szamuely}.
10
11The book \cite{knuth68} is still unfinished.
12
13\cite{knuth68, szamuely}
14
15\begin{thebibliography}{999}
16 \bibitem{knuth68}
17 Donald Knuth,
18 \emph{The Art of Computer Programming},
19 Volume I, Addison-Wesley, 1968.
20
21 \bibitem{lang-algebra}
22 Serge Lang,
23 \emph{Algebra},
24 Springer,
25 2002.
26
27 \bibitem{szamuely}
28 Tamás Szamuely,
29 \emph{Galois Groups and Fundamental Groups},
30 Cambridge University Press,
31 2009.
32\end{thebibliography}
33
34\end{document} \ No newline at end of file
diff --git a/src/Lecture2/live/biblio2.aux b/src/Lecture2/live/biblio2.aux
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1\relax
2\citation{knuth68}
3\citation{th}
4\citation{rudin}
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7\bibcite{knuth68}{Knu68}
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diff --git a/src/Lecture2/live/biblio2.bbl b/src/Lecture2/live/biblio2.bbl
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1\begin{thebibliography}{Knu68}
2
3\bibitem[Knu68]{knuth68}
4Donald Knuth.
5\newblock {\em The Art of Computer Programming}, volume~I.
6\newblock Addison-Wesley, 1968.
7
8\bibitem[Rud62]{rudin}
9Walter Rudin.
10\newblock {\em Fourier analysis on groups}, volume 121967.
11\newblock Wiley Online Library, 1962.
12
13\bibitem[Tro22]{th}
14Tronto.
15\newblock {\em Kummer Theory}.
16\newblock PhD thesis, Uni.lu, 2022.
17
18\end{thebibliography}
diff --git a/src/Lecture2/live/biblio2.blg b/src/Lecture2/live/biblio2.blg
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diff --git a/src/Lecture2/live/biblio2.log b/src/Lecture2/live/biblio2.log
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9\cite{knuth68}
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11You can find my results in \cite{th}
12
13We can also refer to this book \cite{rudin}
14
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17
18\end{document} \ No newline at end of file
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1@book{knuth68,
2 author = "Donald Knuth",
3 title = "The Art of Computer Programming",
4 publisher = "Addison-Wesley",
5 volume = "I",
6 year = "1968",
7}
8
9@misc{lang-algebra,
10 title = {Algebra},
11 author = {Serge Lang},
12 year = {2002},
13 publisher = {Springer}
14}
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16@book{szamuely,
17 title = {Galois groups and fundamental groups},
18 author = {Szamuely, Tam{\'a}s},
19 year = {2009},
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21}
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23@PhdThesis{th,
24author = {Tronto},
25title = {Kummer Theory},
26school = {Uni.lu},
27year = {2022},
28}
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30@book{rudin1962fourier,
31 title={Fourier analysis on groups},
32 author={Rudin, Walter},
33 volume={121967},
34 year={1962},
35 publisher={Wiley Online Library}
36}
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1\documentclass[10pt,a5paper]{article}
2\usepackage[utf8]{inputenc}
3\usepackage{amsmath}
4\usepackage{amsfonts}
5\usepackage{amssymb}
6\usepackage{amsthm}
7\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
8
9\usepackage{enumitem}
10
11\title{Latex Example Live}
12\author{Sebastiano Tronto}
13\date{12-03-2021}
14
15
16
17\newtheorem{mythm}{My Theorem}[section]
18
19\theoremstyle{definition}
20\newtheorem{prop}[mythm]{Proposition}
21\newtheorem{defi}{Definition}
22
23\theoremstyle{remark}
24\newtheorem*{warning}{Achtung}
25
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29
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34\begin{document}
35
36\maketitle
37
38
39\section{Text}
40
41abc
42
43\begin{align}
441+1=2
45\end{align}
46
47The section \ref{ts} contains theorems
48
49\section{inbetween}
50
51\section{Last section}
52\label{ts}
53
54
55\begin{prop}
56A less important fact
57\end{prop}
58
59\begin{mythm}[Gauss]
60\label{gaussthm}
61The equation \(2+x=4\) is true for \(x=2\).
62\begin{align}
63\label{eq}
64\sum_{i=1}^ni
65\end{align}
66\end{mythm}
67
68The above equation \eqref{eq} is not an equation
69
70\arabic{equation}
71
72
73\setcounter{defi}{23}
74\begin{defi}
75a definition
76\end{defi}
77
78\setcounter{mythm}{10}
79\begin{mythm}
80Another important fact.
81\end{mythm}
82
83\begin{warning}
84It is a common mistake to think that \(2+2=5\)
85\end{warning}
86
87
88\vspace{1cm}
89
90\begin{enumerate}[label=(\Roman*)]
91 \item an item
92 \item another one
93\end{enumerate}
94
95\arabic{enumi}
96
97\ref{gaussthm} is a theorem by gauss
98
99\end{document} \ No newline at end of file
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10\title{Latex Example Live}
11\author{Sebastiano Tronto}
12\date{20-02-2021}
13
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16
17
18\newtheorem{mythm}{My Theorem}[section]
19
20\theoremstyle{definition}
21\newtheorem{prop}[mythm]{Proposition}
22\newtheorem{defi}{Definition}
23
24\theoremstyle{remark}
25\newtheorem*{warning}{Achtung}
26
27\usepackage{xcolor}
28
29
30\begin{document}
31
32\maketitle
33
34\section{Introduction}
35
36{\color{pink} Hello, world!
37
38This is a comment}
39
40\texttt{This looks like computer code}
41
42\section{Text}
43
44\textbf{This sentence is in boldface}
45
46\underline{\textit{italicized} maybe in a sentence \textbf{something}}
47
48\underline{\textit{one inside the other}}
49
50\emph{also italicized???}
51
52This is an important sentence, maybe a quote or something, and this \emph{word} is very important. Let's make this sentence longer than one line.
53
54{\Huge Large words}
55
56%\appendix
57
58\section{Math mode}
59
60This is an inline formula \( \displaystyle \sum_i \frac{i}{22} \), it appears within the text
61
62This is a displaystyle formula \[ \textstyle \sum_{\alpha=0}^{2^{10}} \frac2 \alpha{22} \] it appears on its own line
63
64How sqrt works: \( \sqrt[\phi]{25} \)
65
66
67
68\begin{flalign}
69\label{eq}
70e^x &= \left(\sum_{i=0}^\infty \frac{x^i}{i!} \right) = & \\
71&= \left( 1 + x + \frac{x^2}2 \right)+ \frac{x^3}{6} + \cdots \nonumber
72\end{flalign}
73
74\[
75 \left\{ x \in \reals \quad \text{such that} \quad \frac{ \sinus(x)}{x^2}>0 \right\}\reals
76\]
77
78\[ \sum_i \]
79
80The first equation we wrote is \eqref{eq}
81
82\section{Environments}
83
84\subsection{Lists}
85\label{subsectionLists}
86
87\begin{itemize}
88 \item One \textbf{item}
89 \item Another \(2+2=4\)
90 \item a third one \[\sum_{i=0}^n\]
91 \item A sublist:
92 \begin{itemize}
93 \item[+] First subitem
94 \item[+] and so on
95 \end{itemize}
96 \item Again in the main list
97\end{itemize}
98
99\begin{enumerate}[label=\Roman*]
100 \item One
101 \item Two
102 \item Actually three
103 \item Three (or not)
104\end{enumerate}
105
106\subsection*{Tables}
107
108Let's write a table:
109
110\vspace{1cm}
111\begin{tabular}{r||l|c}
112\hline
113This is a table & second column & third column \\
114\hline
115Things & a & \( 2+2 = 4 \)\\
116\hline
117more things & b & c
118\end{tabular}
119
120\vspace{1cm}
121\[
122 \left(\begin{array}{cc}
123 \int_0^1 e^x & \frac{2}{25} \\
124 0 & 0 \\
125 1111 & 234\alpha
126 \end{array}\right)
127\]
128
129\[
130 \begin{pmatrix}
131 \int_0^1 e^x & \frac{2}{25} \\
132 0 & 0 \\
133 1111 & 234\alpha
134 \end{pmatrix}
135\]
136
137\[
138\begin{pmatrix}
1391 & 2\\
1403 & 4
141\end{pmatrix}
142\overset{L2\rightarrow L2+L3}\longrightarrow
143\begin{pmatrix}
1441 & 2\\
1454 & 6
146\end{pmatrix}
147\]
148
149\section{Last section}
150
151In section \ref{subsectionLists} we saw how to write lists
152
153\begin{mythm}[Gauss]
154The equation \(2+x=4\) is true for \(x=2\).
155\end{mythm}
156
157\begin{prop}
158A less important fact
159\end{prop}
160
161\begin{defi}
162a definition
163\end{defi}
164
165\begin{mythm}
166Another important fact.
167\end{mythm}
168
169\begin{warning}
170It is a common mistake to think that \(2+2=5\)
171\end{warning}
172\[\binom45\]
173
174\[ 2 \nmid 10 \]
175
176\end{document} \ No newline at end of file
diff --git a/src/Lecture2/live/pic.aux b/src/Lecture2/live/pic.aux
new file mode 100644
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@@ -0,0 +1,3 @@
1\relax
2\@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces Me, upside-down}}{1}{}\protected@file@percent }
3\gdef \@abspage@last{5}
diff --git a/src/Lecture2/live/pic.log b/src/Lecture2/live/pic.log
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27x \hfill y
28
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147\c@sentence=\count266
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149(/usr/share/texmf-dist/tex/latex/l3backend/l3backend-pdftex.def
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151\l__kernel_color_stack_int=\count267
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154(./sentencecounter.aux)
155\openout1 = `sentencecounter.aux'.
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228(/usr/share/texmf-dist/tex/latex/amsfonts/umsb.fd
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232{/usr/share/texmf-var/fonts/map/pdftex/updmap/pdftex.map}] (./sentencecounter.a
233ux) )
234Here is how much of TeX's memory you used:
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256
diff --git a/src/Lecture2/live/sentencecounter.pdf b/src/Lecture2/live/sentencecounter.pdf
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diff --git a/src/Lecture2/live/sentencecounter.synctex.gz b/src/Lecture2/live/sentencecounter.synctex.gz
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diff --git a/src/Lecture2/live/sentencecounter.tex b/src/Lecture2/live/sentencecounter.tex
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@@ -0,0 +1,66 @@
1\documentclass[10pt,a5paper]{article}
2\usepackage[utf8]{inputenc}
3\usepackage{amsmath}
4\usepackage{amsfonts}
5\usepackage{amssymb}
6\usepackage[left=2cm,right=2cm,top=2cm,bottom=2cm]{geometry}
7
8\usepackage{xcolor}
9
10\newcounter{sentence}[section]
11\renewcommand{\thesentence}{[\thesection,\arabic{sentence}]}
12
13\newcommand{\R}{\mathbb{R}}
14\newcommand{\words}{blah bla blha}
15
16\newcommand{\todo}[1]{{\color{red}\large TODO: #1}}
17
18\newcommand{\sent}[1]{\refstepcounter{sentence}#1\textsuperscript{\arabic{sentence}}}
19
20\newcommand{\mymatrix}[4]{\begin{pmatrix}
21#1 & #2 \\
22#3 & #4
23\end{pmatrix}}
24
25\newcommand{\twocases}[4]{\begin{cases}
26#1 & #2 \\
27#3 & #4
28\end{cases}}
29
30
31\begin{document}
32
33\section{First section}
34
35\sent{A sentence before the first one}
36
37\sent{This is a sentence.}
38\label{s1}
39\sent{This is another sentence.}
40
41\todo{finish the first section}
42
43This 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
44
45\section{Second section}
46
47\sent{A sentence in the second section.}
48\label{sanother}
49
50\vspace{2cm}
51
52In sentence~\ref{s1}... \todo{what did I want to say?}
53
54\[ \R \]
55
56\words
57
58\[
59\mymatrix{x}{a_{2,2}}{0}{f(10)}
60\]
61
62\[
63f(x)=\twocases{x^2}{\text{if }x>0}{-x^3}{\text{otherwise.}}
64\]
65
66\end{document} \ No newline at end of file

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