From d6c61d988bfa4255baf9cdae42db59ebee38363f Mon Sep 17 00:00:00 2001 From: Sebastiano Tronto Date: Tue, 25 May 2021 17:10:49 +0200 Subject: Added files --- src/Lecture1/live/live.aux | 9 ++ src/Lecture1/live/live.log | 249 +++++++++++++++++++++++++++++++++++++++++++++ src/Lecture1/live/live.pdf | Bin 0 -> 148821 bytes src/Lecture1/live/live.tex | 168 ++++++++++++++++++++++++++++++ 4 files changed, 426 insertions(+) create mode 100644 src/Lecture1/live/live.aux create mode 100644 src/Lecture1/live/live.log create mode 100644 src/Lecture1/live/live.pdf create mode 100644 src/Lecture1/live/live.tex (limited to 'src/Lecture1/live') diff --git a/src/Lecture1/live/live.aux b/src/Lecture1/live/live.aux new file mode 100644 index 0000000..dc9657e --- /dev/null +++ b/src/Lecture1/live/live.aux @@ -0,0 +1,9 @@ +\relax +\@writefile{toc}{\contentsline {section}{\numberline {1}Introduction}{1}\protected@file@percent } +\@writefile{toc}{\contentsline {section}{\numberline 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+ +This is a comment + +\section{Text} + +\textbf{This sentence is in boldface} + +\underline{\textit{italicized} maybe in a sentence \textbf{something}} + +\underline{\textit{one inside the other}} + +\emph{also italicized???} + +This 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. + +{\Huge Large words} + +%\appendix + +\section{Math mode} + +This is an inline formula \( \sum_i \frac{i}{22} \), it appears within the text + +This is a displaystyle formula \[ \sum_{\alpha=0}^{2^{10}} \frac2 \alpha{22} \] it appears on its own line + +How sqrt works: \( \sqrt[\phi]{25} \) + + + +\begin{align} +\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{align} + +\[ + \left\{ x \in \reals \quad \text{such that} \quad \frac{ \sinus(x)}{x^2}>0 \right\}\reals +\] + +\[ \sum_i \] + +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 +\end{prop} + +\setcounter{mythm}{\arabic{mythm}+100} +\begin{mythm} +Another important fact. +\end{mythm} + +\begin{warning} +It is a common mistake to think that \(2+2=5\) +\end{warning} +\[\binom45\] + +\end{document} \ No newline at end of file -- cgit v1.3