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\documentclass[UTF8,12pt]{ctexbook}
\usepackage[]{ctex}
\usepackage{amsmath,amsthm,amsfonts,amssymb}
\usepackage{geometry}
\usepackage[colorlinks=true]{hyperref}
\usepackage{indentfirst}
\usepackage[center]{titlesec}
\usepackage{graphicx}
\usepackage{esint}
\usepackage{cases}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{pgfplots}
\usepackage{listings}
\usepackage{multicol}
\usepackage{multirow}
\usepackage{pdfpages}
\usepackage{cancel}
\usepackage{markdown}
\usetikzlibrary{svg.path}
\usetikzlibrary{positioning}
\usetikzlibrary{intersections}
\tikzset{strike through/.pic={\draw (-135:.5) -- (45:.5);},
shorten/.style={shorten <=#1, shorten >=#1},
every double arrows/.style={-latex, shorten=2mm},
double arrows split/.style={bend angle=#1},
double arrows split/.default={10},
double arrows/.style args={#1-#2}{%
insert path={(#1) edge[bend right,draw=none] coordinate[at start](#1-b) coordinate[at end](#2-b) (#2)%
edge[bend left,draw=none] coordinate[at start](#1-t) coordinate[at end](#2-t) (#2)
}
},
pics/double arrows/.style args={#1-#2}{%
code={%
\begin{scope}[double arrows split]
\draw[double arrows={#1-#2}, every double arrows] (#1-t) -- (#2-t);%
\draw[every double arrows] (#2-b) -- (#1-b);%
\end{scope}
}
}%
}
\lstloadlanguages{C,C++,csh,Java,Python}
\lstset{ %
language=c++, % 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 one 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{dkgreen}, % comment style
stringstyle=\color{mauve}, % string literal style
escapeinside={\%*}{*)}, % if you want to add LaTeX within your code
% morekeywords={*,...} % if you want to add more keywords to the set
}
\renewcommand{\qed}{\rightline{\qedsymbol-Q.E.D.(Quod Erat Demonstrandum/证毕)}}
\renewcommand{\mod}[2]{#1\ \mbox{mod}\ #2}
\newcommand{\limNormal}[1]{\lim\limits_{#1}}
\newcommand{\myLimToZero}{\limNormal{x \to 0}}
\newcommand{\myLimToInf}{\limNormal{x \to \infty}}
\newcommand{\derivative}{^\prime}
\newcommand{\doubleDerivative}{^{\prime\prime}}
\newcommand{\tripleDerivative}{^{\prime\prime\prime}}
\newcommand{\aLotDerivative}[1]{^{(#1)}}
\newcommand{\partialDerivative}[1]{^\prime_{#1}}
\newcommand{\mathCombination}[2]{C_{#1}^{#2}}
\newcommand{\mathPermutation}[2]{P_{#1}^{#2}}
\newcommand{\upDownSum}[2]{\sum\limits_{#2}^{#1}}
\newcommand{\upDownProd}[2]{\prod\limits_{#2}^{#1}}
\newcommand{\updownUnion}[2]{\bigcup\limits_{#2}^{#1}}
\newcommand{\updownIntersection}[2]{\bigcap\limits_{#2}^{#1}}
\newcommand{\fDerivative}[1]{f\derivative(#1)}
\newcommand{\defFunction}[1]{f(#1)}
\newcommand{\definiteIntegral}[2]{\int^{#1}_{#2}}
\newcommand{\mathConstant}{\mathbb{C}}
\newcommand{\degree}{^\circ}
\newcommand{\projection}[1]{Prj_{#1}}
\newcommand{\bigCase}[1]{\left(#1\right)}
\newcommand{\dependent}[1]{\langle#1\rangle}
\newcommand{\innerProduct}[2]{\dependent{#1,#2}}
\newcommand{\transpose}{^T}
\newcommand{\spaceline}{\\\indent}
\newcommand{\directionDerivative}[3]{\left.\cfrac{\partial #1}{\partial #2}\right|_{#3}}
\newcommand{\partialDerivativeFrac}[2]{\frac{\partial #1}{\partial #2}}
\newcommand{\doubleIntegralOnZone}[1]{\iint\limits_{#1}}
\newcommand{\defDoubleIntegralOnZone}[3]{{\iint\limits_{#1}}^{#2}_{#3}}
\newcommand{\defTripleIntegralOnZone}[3]{{\iiint\limits_{#1}}^{#2}_{#3}}
\newcommand{\tripleIntegralOnZone}[1]{\iiint\limits_{#1}}
\newcommand{\bigO}[1]{\mathcal{O}(#1)}
\newcommand{\smallO}[1]{o(#1)}
\newcommand{\doubleAbsoluteValue}[1]{\left\Vert #1 \right\Vert}
\newcommand{\absoluteValue}[1]{\left\lvert #1 \right\vert}
\newcommand{\mediumBigCase}[1]{\left[#1\right]}
\newcommand{\pathIntegral}[1]{\int_{#1}}
\newcommand{\curveIntegralOnLine}[1]{\oint_{#1}}
\newcommand{\doubleCurveIntegralOnZone}[1]{\oiint_{#1}}
\newcommand{\sumSeries}{\upDownSum{\infty}{n = 1}}
\newcommand{\boldText}[1]{{\bfseries#1}}
\newcommand{\bookName}[1]{$\ll$#1$\gg$}
\newcommand{\eliminationMatrix}[1]{{E_l}_{#1}}
\newcommand{\vecAngle}[2]{(\widehat{#1\ #2})}
\newcommand{\surfaceIntegralOnSurface}[1]{\iint_{#1}}
\newcommand{\powerSetOf}[1]{\powerSet (#1)}
\newcommand{\set}[1]{\left\{ #1 \right\}}
\newcommand{\vecSpace}{\mathbb{V}}
\newcommand{\biJection}{\leftrightarrow}
% \newcommand{\inverse}{^{-1}}
\newcommand{\mapsToWithSubText}[3]{#1 : \begin{array}{l}
#2 \\
#3
\end{array}}
\newcommand{\augmentedMatrix}[2]{
\mediumBigCase{
\begin{array}{c|c}
#1 & #2
\end{array}
}
}
\newcommand{\reasoningStructure}[5]{
{#1}-{#2} :
前提 : {#3}
结论 : {#4}
{#5}是永真式.
}
\newcommand{\functionTabular}[3]{
\begin{center}
\begin{tabular}{|l|c|}
\hline
定义域 & #1 \\
\hline
值域(到达域) & #2 \\
\hline
奇偶性 & #3 \\
\hline
\end{tabular}
\end{center}
}
\newcommand{\tikzPlaceDot}[1]{\draw[fill = black] #1 circle (1pt)}
\newcommand{\tikzPlaceNode}[3]{\node[draw,circle] (#1) at #2 {#3}}
\newcommand{\tikzPlaceShiftLeftRightArrow}[2]{
\draw[>=latex,->] ([yshift= 5pt] #1.east) -- ([yshift= 5pt] #2.west);
\draw[>=latex,<-] ([yshift=-5pt] #1.east) -- ([yshift=-5pt] #2.west);
}
\DeclareMathOperator{\arccot}{arccot}
\DeclareMathOperator{\arcsec}{arcsec}
\DeclareMathOperator{\arccsc}{arccsc}
\DeclareMathOperator{\inverse}{^{-1}}
\DeclareMathOperator{\divergenceText}{\mathbf{div}\ }
\DeclareMathOperator{\divergenceSymbol}{\nabla\cdot}
\DeclareMathOperator{\curlSymbol}{\nabla\times}
\DeclareMathOperator{\curlText}{\mathbf{curl}\ }
\DeclareMathOperator{\curlRotText}{\mathbf{rot}\ }
\DeclareMathOperator{\gradText}{\mathbf{grad}\ }
\DeclareMathOperator{\laplaceOperator}{\Delta}
\DeclareMathOperator{\notRealSubset}{\not\subset}
\DeclareMathOperator{\mathRealNumberCollection}{\mathbb{R}}
\DeclareMathOperator{\mathIntegerCollection}{\mathbb{Z}}
\DeclareMathOperator{\mathNatureNumberCollection}{\mathbb{N}}
\DeclareMathOperator{\mathRationalNumberCollection}{\mathbb{Q}}
\DeclareMathOperator{\mathComplexNumberCollection}{\mathbb{C}}
\DeclareMathOperator{\mathEverythingCollection}{\mathbb{E}}
\DeclareMathOperator{\powerSet}{\mathcal{P}}
\DeclareMathOperator{\unionSet}{\cup}
\DeclareMathOperator{\intersectionSet}{\cap}
\DeclareMathOperator{\absoluteCompletementSet}{^\complement}
\geometry{left=1cm,right=1cm,top=3cm,bottom=3cm}
\title{db的日常笔记}
\date{最后编译日期:\today}
\author{dbydd}
\kaishu
\setlength{\parindent}{2em}
\titleformat{\section}[block]{\LARGE\itshape\mdseries}{\arabic{section}}{1em}{}[]
\titleformat{\subsection}[block]{\Large\itshape\mdseries}{\arabic{section}.\arabic{subsection}}{1em}{}[]
\titleformat{\subsubsection}[block]{\large\itshape\mdseries}{\arabic{section}.\arabic{subsection}.\arabic{subsubsection}}{1em}{}[]
\titleformat{\paragraph}[block]{\small\bfseries}{[\arabic{paragraph}]}{1em}{}[]
\setcounter{secnumdepth}{3}
\setcounter{tocdepth}{3}
\begin{document}
\pagestyle{empty}{
\maketitle
注: 本笔记有些部分来自于wikipedia
\paragraph{todos}{
\begin{enumerate}
\item 誊录纸质笔记\ 线性代数-线性无关,基和维数.
\item 隐函数存在定理,等幂求和,(复变函数),概率论与数理统计(及测度论).
\item 重写线性代数
\item 补充多个section,计算机图形学等
\item 整合冗余部分
\end{enumerate}
}%todo 结尾
\tableofcontents
\thispagestyle{empty}
}
\setcounter{page}{1}
% #TODO Math
\include{src/ChapterMath}
% #TODO ComputerScience
\include{src/ChapterComputerScience}
% #TODO Philosophy
\include{src/ChapterPhilosophy}
% #TODO Physics
% \include{src/ChapterPhysics}
% #TODO Chemistry
% \include{src/ChapterChemistry}
% #TODO Biology
% \include{src/ChapterBiology}
% #TODO Medicine
% \include{src/ChapterMedicine}
% #TODO Artist
% \include{src/ChapterArtist}
\end{document}