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132 lines
3.3 KiB
TeX
132 lines
3.3 KiB
TeX
\documentclass{article}
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\usepackage[margin=1in]{geometry}
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\usepackage{amsmath,amsthm,amssymb,scrextend}
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\usepackage{blindtext}
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\usepackage{centernot}
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\usepackage{enumerate}
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\usepackage{enumitem}
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\usepackage{fancyhdr}
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\pagestyle{fancy}
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\usepackage{babel}
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\usepackage{pgfplots}
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\usepackage{tikz}
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\usepackage{wrapfig}
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\pgfplotsset{compat=1.17}
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\newcommand{\I}{\mathbb{I}}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\Q}{\mathbb{Q}}
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\newcommand{\Z}{\mathbb{Z}}
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\renewcommand{\qed}{\hfill$\blacksquare$}
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\let\newproof\proof
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\renewenvironment{proof}{\begin{addmargin}[1em]{0em}\begin{newproof}}{\end{newproof}\end{addmargin}\qed}
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\newenvironment{corollary}[2][Corollary]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\newenvironment{exercise}[2][Exercise]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\newenvironment{lemma}[2][Lemma]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\newenvironment{problem}[2][Problem]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\newenvironment{proposition}[2][Proposition]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\newenvironment{reflection}[2][Reflection]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\newenvironment{theorem}[2][Theorem]{\begin{trivlist}
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\item[\hskip \labelsep {\bfseries #1}\hskip \labelsep {\bfseries #2.}]}{\end{trivlist}}
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\begin{document}
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\lhead{Gabriel Hearot}
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\rhead{\today}
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\begin{problem}{1}
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\blindtext
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\end{problem}
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\begin{wrapfigure}{l}{0.45\textwidth}
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\begin{tikzpicture}
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\begin{axis}[
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axis lines = middle,
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no markers,
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xlabel = $x$,
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ylabel = $y$,
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enlarge y limits = true,
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enlarge x limits = false,
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restrict y to domain = -20:20,
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]
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\addplot [
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domain=-10:10,
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samples=100,
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color=red,
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]
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{\x+1};
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\addlegendentry{$f(x)$}
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\addplot [
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domain=-10:10,
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samples=100,
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color=blue,
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]
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{\x/2};
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\addlegendentry{$g(x)$}
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\addplot [
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smooth,
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domain=-10:10,
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samples=1000,
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color=green,
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]
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{1/\x};
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\addlegendentry{$\frac{1}{x}$}
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\node[label={300:{$A$}},circle,fill,inner sep=0.7pt] at (axis cs:-2,-1) {};
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\end{axis}
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\end{tikzpicture}
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\caption{Lorem ipsum dolor sit amet.}
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\end{wrapfigure}
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\blindtext[2]
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\vskip 0.2in
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\begin{lemma}{1}
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\blindtext
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\end{lemma}
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\begin{wrapfigure}{l}{0.25\textwidth}
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\begin{tikzpicture}[
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axis/.style={->,thick},
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vector/.style={-stealth},
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]
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\shade[ball color = gray!40, opacity = 0.4] (0,0) circle (2cm);
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\draw (0,0) circle (2cm);
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\draw (-2,0) arc (180:360:2 and 0.6);
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\draw[dashed] (2,0) arc (0:180:2 and 0.6);
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\fill[fill=black] (0,0) circle (1pt);
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\draw[axis] (0,0) -- (2,0,0);
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\draw[axis] (0,0) -- (0,0,-1.4);
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\draw[axis] (0,0) -- (0,2,0);
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\draw[vector] (1.4,0,-0.4) -- node[label={55:$\vec{d}$}]{} (0.2,0,-1.2);
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\draw[vector] (0,0) -- node[anchor=south east]{$\vec{\omega}$} (0,1.3,0);
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\end{tikzpicture}
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\caption{Lorem ipsum dolor sit amet.}
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\end{wrapfigure}
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\blindmathpaper
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\end{document} |