ggwp

.gitignore

@@ -0,0 +1,14 @@
+MatanColloc.aux
+DefinicionClases.sty
+MatanColloc.fdb_latexmk
+MatanColloc.fls
+MatanColloc.loe
+MatanColloc.log
+MatanColloc.out
+MatanColloc.synctex.gz
+MatanColloc.toc
+MatanColloc.upa
+MatanColloc.upb
+MatanColloc.pdf
+.MatanColloc.fls.icloud  
+MatanColloc\ 2.fls 

MatanColloc.tex

@@ -0,0 +1,352 @@
+\ifdefined\niveldos\else
+\documentclass[12pt,letterpaper]{report}
+
+%Russian-specific packages
+%--------------------------------------
+\usepackage[T2A]{fontenc}
+\usepackage[utf8]{inputenc}
+\usepackage[russian]{babel}
+\usepackage[mathscr]{euscript}
+\usepackage{amsmath,amsthm,amssymb,latexsym,amsfonts}
+\usepackage{lipsum}
+\usepackage{soul}
+\usepackage{amsmath,amssymb}
+\usepackage{parskip}
+\usepackage{graphicx}
+\usepackage{mathtools}
+\usepackage[usestackEOL]{stackengine}
+\usepackage{tocloft}
+\usepackage{xcolor}
+\usepackage{hyperref}
+\usepackage{tikz}
+\usepackage{thmtools}
+\usepackage{amsthm}
+\usepackage{pdfcomment}
+\usepackage{blindtext}
+\usepackage{todonotes}
+\usepackage{import}
+\usepackage{hyphsubst}
+\usepackage{bookmark}
+\usepackage{pgfplots}
+\usepackage{tikzsymbols}
+\usepackage{cancel}
+\usepackage{enumerate}
+\usepackage{wrapfig}
+\usepackage{graphicx}
+\usepackage{extarrows}
+
+\usetikzlibrary{decorations.pathreplacing,
+                positioning, 
+                quotes,
+                intersections,
+                calc}
+
+\graphicspath{ {./images/} }
+%%
+
+\DeclarePairedDelimiter\abs{\lvert}{\rvert}%
+\DeclarePairedDelimiter\norm{\lVert}{\rVert}%
+
+% Swap the definition of \abs* and \norm*, so that \abs
+% and \norm resizes the size of the brackets, and the
+% starred version does not.
+\makeatletter
+\let\oldabs\abs
+\def\abs{\@ifstar{\oldabs}{\oldabs*}}
+%
+\let\oldnorm\norm
+\def\norm{\@ifstar{\oldnorm}{\oldnorm*}}
+\makeatother
+
+\newtheorem*{theorem}{Теорема}
+\newtheorem*{theorem-non}{Предложение}
+\newtheorem*{lemma}{Лемма}
+\theoremstyle{definition}
+\newtheorem*{conj}{Определение}
+\declaretheorem[numbered=no]{definition}
+
+% Definindo novas cores
+\definecolor{verde}{rgb}{0.25,0.5,0.35}
+\definecolor{jpurple}{rgb}{0.5,0,0.35}
+\definecolor{darkgreen}{rgb}{0.0, 0.2, 0.13}
+%\definecolor{oldmauve}{rgb}{0.4, 0.19, 0.28}
+% Configurando layout para mostrar codigos Java
+\usepackage{listings}
+
+\newcommand\butthole[1]{%
+  \mathpalette\assircled{#1}%
+}
+\newcommand\asscircled[2]{%
+  \tikz[baseline=(math.base)] \node[red, draw,circle,inner sep=1pt] (math) {$\m@th#1#2$};%
+}
+
+\newcommand{\estiloJava}{
+\lstset{
+    language=Java,
+    basicstyle=\ttfamily\small,
+    keywordstyle=\color{jpurple}\bfseries,
+    stringstyle=\color{red},
+    commentstyle=\color{verde},
+    morecomment=[s][\color{blue}]{/**}{*/},
+    extendedchars=true,
+    showspaces=false,
+    showstringspaces=false,
+    numbers=left,
+    numberstyle=\tiny,
+    breaklines=true,
+    backgroundcolor=\color{cyan!10},
+    breakautoindent=true,
+    captionpos=b,
+    xleftmargin=0pt,
+    tabsize=2
+}}
+
+\newcommand{\estiloR}{
+  \lstset{ %
+    language=R,                     % the language of the code
+    basicstyle=\footnotesize,       % the size of the fonts that are used for the code
+    numbers=left,                   % where to put the line-numbers
+    numberstyle=\tiny\color{gray},  % the style that is used for the line-numbers
+    stepnumber=1,                   % the step between two line-numbers. If it's 1, each line
+                                    % will be numbered
+    numbersep=5pt,                  % how far the line-numbers are from the code
+    backgroundcolor=\color{white},  % choose the background color. You must add \usepackage{color}
+    showspaces=false,               % show spaces adding particular underscores
+    showstringspaces=false,         % underline spaces within strings
+    showtabs=false,                 % show tabs within strings adding particular underscores
+    frame=single,                   % adds a frame around the code
+    rulecolor=\color{black},        % if not set, the frame-color may be changed on line-breaks within not-black text (e.g. commens (green here))
+    tabsize=2,                      % sets default tabsize to 2 spaces
+    captionpos=b,                   % sets the caption-position to bottom
+    breaklines=true,                % sets automatic line breaking
+    breakatwhitespace=false,        % sets if automatic breaks should only happen at whitespace
+    title=\lstname,                 % show the filename of files included with \lstinputlisting;
+                                    % also try caption instead of title
+    keywordstyle=\color{blue},      % keyword style
+    commentstyle=\color{darkgreen},   % comment style
+    stringstyle=\color{red},      % string literal style
+    escapeinside={\%*}{*)},         % if you want to add a comment within your code
+    morekeywords={*,...}          % if you want to add more keywords to the set
+}}
+
+\newcommand{\vertiii}[1]{{\left\vert\kern-0.25ex\left\vert\kern-0.25ex\left\vert #1
+    \right\vert\kern-0.25ex\right\vert\kern-0.25ex\right\vert}}
+\newcommand*{\double}[2][.1ex]{%
+  \mathrel{\vcenter{\offinterlineskip%
+  \hbox{$#2$}\vskip#1\hbox{$#2$}}}}
+\newcommand*{\doublerightarrow}{\double{\rightarrow}}
+\newcommand{\Z}{\mathbb{Z}}
+\newcommand{\Q}{\mathbb{Q}}
+\newcommand{\N}{\mathbb{N}}
+\newcommand{\R}{\mathbb{R}}
+\newcommand{\A}{\mathcal{A}}
+\newcommand{\B}{\mathcal{B}}
+\renewcommand{\C}{\mathbb{C}}
+
+\newcommand{\follow}{\textbf{\textit{Следствие:}}}
+\newcommand{\notice}{\underline{\textit{Замечание:}}}
+\newcommand{\example}{\underline{Пример:}}
+\newcommand{\examples}{\underline{Примеры:}}
+
+% algebra defs
+\newcommand{\id}{\operatorname{id}}
+\newcommand{\ord}{\operatorname{ord}}
+\newcommand{\lcm}{\operatorname{lcm}}
+\newcommand{\Lin}{\operatorname{Lin}}
+\newcommand{\Hom}{\operatorname{Hom}}
+\newcommand{\Imm}{\operatorname{Im}}
+\newcommand{\Ree}{\operatorname{Re}}
+\newcommand{\Ker}{\operatorname{Ker}}
+\newcommand{\rk}{\operatorname{rk}}
+
+% matan defs
+\newcommand{\Int}{\operatorname{Int}}
+\newcommand{\Cl}{\operatorname{Cl}}
+
+% tikz
+\newcommand\irregularcircle[2]{% radius, irregularity
+  \pgfextra {\pgfmathsetmacro\len{(#1)+rand*(#2)}}
+  +(0:\len pt)
+  \foreach \a in {10,20,...,350}{
+    \pgfextra {\pgfmathsetmacro\len{(#1)+rand*(#2)}}
+    -- +(\a:\len pt)
+  } -- cycle
+}
+
+\newcommand*{\colorboxed}{}
+\def\colorboxed#1#{%
+  \colorboxedAux{#1}%
+}
+\newcommand*{\colorboxedAux}[3]{%
+  % #1: optional argument for color model
+  % #2: color specification
+  % #3: formula
+  \begingroup
+    \colorlet{cb@saved}{.}%
+    \color#1{#2}%
+    \boxed{%
+      \color{cb@saved}%
+      #3%
+    }%
+  \endgroup
+}
+
+\def\inbelow#1#2{\underset{\displaystyle\overset{\displaystyle\rotatebox{270}{$\in$}}{#2}}{#1}}
+\def\lessbelow#1#2{\underset{\displaystyle\overset{\displaystyle\rotatebox{270}{$\leqslant$}}{#2}}{#1}}
+\def\lessabove#1#2{\overset{\displaystyle\underset{\displaystyle\rotatebox{90}{$\leqslant$}}{#2}}{#1}}
+\def\stackbelow#1#2{\underset{\displaystyle\overset{\displaystyle\shortparallel}{#2}}{#1}}
+\def\stackabove#1#2{\overset{\displaystyle\underset{\displaystyle\shortparallel}{#2}}{#1}}
+
+\newcommand{\rom}[1]{\uppercase\expandafter{\romannumeral #1\relax}}
+\newcommand{\vardbtilde}[1]{\widetilde{\raisebox{0pt}[0.85\height]{$\widetilde{#1}$}}}
+\newcommand\leftcoleqq{\mathrel{\reflectbox{\ensuremath{\coloneqq}}}}
+
+\newcommand*\circled[1]{\tikz[baseline=(char.base)]{
+            \node[shape=circle,draw,inner sep=2pt] (char) {#1};}}
+
+\definecolor{linkcolor}{HTML}{47528f} % цвет ссылок
+\definecolor{urlcolor}{HTML}{47528f} % цвет гиперссылок
+\hypersetup{pdfstartview=FitH,  linkcolor=linkcolor,urlcolor=urlcolor, colorlinks=true}
+\newcommand{\RomanNumeralCaps}[1]
+  {\MakeUppercase{\romannumeral #1}}
+\usepackage{titlesec}
+\renewcommand{\thesection}{\arabic{section}}
+\renewcommand{\listtheoremname}{Определения и теоремы}
+\renewcommand\qedsymbol{$\blacksquare$}
+\newcommand\oast{\stackMath\mathbin{\stackinset{c}{0ex}{c}{0ex}{\ast}{\bigcirc}}}
+\makeatletter
+\renewenvironment{proof}[1][\proofname]{%
+   \par\pushQED{\qed}\normalfont%
+   \topsep6\p@\@plus6\p@\relax
+   \trivlist\item[\hskip\labelsep\bfseries#1\@addpunct{.}]%
+   \ignorespaces
+}{%
+   \popQED\endtrivlist\@endpefalse
+}
+\makeatother
+%--------------------------------------
+\DeclareMathOperator{\Mr}{M_{\mathbb{R}}}
+\addtolength{\oddsidemargin}{-.875in}
+	\addtolength{\evensidemargin}{-.875in}
+	\addtolength{\textwidth}{1.75in}
+
+	\addtolength{\topmargin}{-.875in}
+    \addtolength{\textheight}{1.75in}
+%--------------------------------------
+\def\calloutsym{%
+  \ensurestackMath{%
+  \scalebox{1.7}{\color{red}\stackunder[0pt]{\bigcirc}{\downarrow}}}%
+}
+\def\calloutsymup{%
+  \ensurestackMath{%
+  \scalebox{1.7}{\color{red}\stackon[0pt]{\bigcirc}{\uparrow}}}%
+}
+\newcommand\callouttext[1]{%
+  \def\stacktype{S}\renewcommand\useanchorwidth{T}\stackText%
+  \stackunder{\calloutsym}{\scriptsize\Longstack{#1}}\stackMath%
+}
+\newcommand\callout[3][2.5pt]{%
+  \def\stacktype{L}\stackMath\stackunder[#1]{#2}{\callouttext{#3}}%
+}
+\newcommand\callouttextup[1]{%
+  \def\stacktype{S}\renewcommand\useanchorwidth{T}\stackText%
+  \stackon{\calloutsymup}{\scriptsize\Longstack{#1}}\stackMath%
+}
+\newcommand\calloutup[3][1.5pt]{%
+  \def\stacktype{L}\stackMath\stackunder[#1]{#2}{\callouttextup{#3}}%
+}
+\begin{document}
+
+\clearpage
+%% temporary titles
+% command to provide stretchy vertical space in proportion
+\newcommand\nbvspace[1][3]{\vspace*{\stretch{#1}}}
+% allow some slack to avoid under/overfull boxes
+\newcommand\nbstretchyspace{\spaceskip0.5em plus 0.25em minus 0.25em}
+% To improve spacing on titlepages
+\newcommand{\nbtitlestretch}{\spaceskip0.6em}
+\pagestyle{empty}
+\begin{center}
+\bfseries
+\nbvspace[1]
+\Huge
+{\nbtitlestretch\huge
+КОНСПЕКТ ЛЕКЦИЙ ПО МАТЕМАТИЧЕСКОМУ АНАЛИЗУ}
+
+\nbvspace[1]
+\normalsize
+
+СПбГУ, МКН, СП, 1 курс\\
+ЛЕКТОР: ХРАБРОВ АЛЕКСАНДР ИГОРЕВИЧ
+\nbvspace[1]
+\\
+\Large СОСТАВИТЕЛИ:\\[0.5em]
+\footnotesize
+Андрей \href{https://github.com/K-dizzled}{K-dizzled} Козырев,
+Никита  \href{https://github.com/muldrik}{muldrik} Митцев,
+Максим \href{https://github.com/maxmartynov08}{maxmartynov08} Мартынов,\\
+Семён \href{https://github.com/SmnTin}{SmnTin} Паненков,
+Марк \href{https://github.com/markprudnikov}{markprudnikov} Прудников,
+Иван \href{https://github.com/klimoza}{klimoza} Климов
+
+\nbvspace[2]
+
+\includegraphics[width=4.0in]{./images/matan_kills.png}
+\nbvspace[3]
+\normalsize
+
+\large
+2021
+\nbvspace[1]
+\end{center}
+\newpage
+\pagestyle{plain}
+\fi
+%\maketitle
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                %
+%                                %
+%        Table of content        %
+%                                %
+%                                %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\tableofcontents
+%\listoftheorem-nons[ignore={lemma},show={conj, theorem-non}]
+% To show Table of contents with
+% definitions and lemmas
+%----------------------------------------
+% \listoftheorem-nons[ignoreall,show={lemma}]
+% \listoftheorem-nons[ignoreall,show={conj}]
+\newpage
+\begin{normalsize}
+\import{sections/}{first.tex}
+$ $
+\import{sections/}{second.tex}
+$ $
+\import{sections/}{third.tex}
+$ $
+
+\newpage
+\begin{center}
+\bfseries
+\Huge
+{\nbtitlestretch\huge
+Альтернативная обложка №1:}
+\end{center}
+\vspace*{3cm}
+\begin{center}
+  \includegraphics[width=6.0in]{./images/Danger_matan.png}
+\end{center}
+\newpage
+\begin{center}
+\bfseries
+\Huge
+{\nbtitlestretch\huge
+Альтернативная обложка №2:}
+\end{center}
+\vspace*{3cm}
+\begin{center}
+  \includegraphics[width=4.0in]{./images/matan03.png}
+\end{center}
+\end{normalsize}
+\end{document}