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📁 介绍一些matlab在数学方面的应用
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%\DeclareMathDelimiter{\Downarrow}{\mathrel}{symbols}{"2B}{largesymbols}{"7F}%\DeclareMathSymbol{\Leftrightarrow}{\mathrel}{symbols}{"2C}%\DeclareMathSymbol{\nwarrow}{\mathrel}{symbols}{"2D}%\DeclareMathSymbol{\swarrow}{\mathrel}{symbols}{"2E}%\DeclareMathSymbol{\propto}{\mathrel}{symbols}{"2F}%\DeclareMathSymbol{\prime}{\mathord}{symbols}{"30}%\DeclareMathSymbol{\infty}{\mathord}{symbols}{"31}%\DeclareMathSymbol{\in}{\mathrel}{symbols}{"32}%\DeclareMathSymbol{\ni}{\mathrel}{symbols}{"33}%    \let\owns=\ni%\DeclareMathSymbol{\triangle}{\mathord}{symbols}{"34}%\DeclareMathSymbol{\bigtriangleup}{\mathbin}{symbols}{"34}%\DeclareMathSymbol{\bigtriangledown}{\mathbin}{symbols}{"35}%\DeclareMathSymbol{\not}{\mathrel}{symbols}{"36}%\DeclareMathSymbol{\mapstochar}{\mathrel}{symbols}{"37}%   \def\mapsto{\mapstochar\rightarrow}%\DeclareMathSymbol{\forall}{\mathord}{symbols}{"38}%\DeclareMathSymbol{\exists}{\mathord}{symbols}{"39}%\DeclareMathSymbol{\neg}{\mathord}{symbols}{"3A}%    \let\lnot=\neg%\DeclareMathSymbol{\emptyset}{\mathord}{symbols}{"3B}%\DeclareMathSymbol{\Re}{\mathord}{symbols}{"3C}%\DeclareMathSymbol{\Im}{\mathord}{symbols}{"3D}%\DeclareMathSymbol{\top}{\mathord}{symbols}{"3E}%\DeclareMathSymbol{\bot}{\mathord}{symbols}{"3F}%\DeclareMathSymbol{\perp}{\mathrel}{symbols}{"3F}%\DeclareMathSymbol{\aleph}{\mathord}{symbols}{"40}% "41-"5A: \mathcal{A-Z}%\DeclareMathSymbol{\cup}{\mathbin}{symbols}{"5B}%\DeclareMathSymbol{\cap}{\mathbin}{symbols}{"5C}%\DeclareMathSymbol{\uplus}{\mathbin}{symbols}{"5D}%\DeclareMathSymbol{\wedge}{\mathbin}{symbols}{"5E}%   \let\land=\wedge%\DeclareMathSymbol{\vee}{\mathbin}{symbols}{"5F}%   \let\lor=\vee%\DeclareMathSymbol{\vdash}{\mathrel}{symbols}{"60}%\DeclareMathSymbol{\dashv}{\mathrel}{symbols}{"61}%\DeclareMathDelimiter{\lfloor}{\mathopen}{symbols}{"62}{largesymbols}{"04}%\DeclareMathDelimiter{\rfloor}{\mathclose}{symbols}{"63}{largesymbols}{"05}%\DeclareMathDelimiter{\lceil}{\mathopen}{symbols}{"64}{largesymbols}{"06}%\DeclareMathDelimiter{\rceil}{\mathclose}{symbols}{"65}{largesymbols}{"07}%\DeclareMathDelimiter{\lbrace}{\mathopen}{symbols}{"66}{largesymbols}{"08}%\DeclareMathDelimiter{\rbrace}{\mathclose}{symbols}{"67}{largesymbols}{"09}%\DeclareMathDelimiter{\langle}{\mathopen}{symbols}{"68}{largesymbols}{"0A}%\DeclareMathDelimiter{<}{\mathopen}{symbols}{"68}{largesymbols}{"0A}%\DeclareMathDelimiter{\rangle}{\mathclose}{symbols}{"69}{largesymbols}{"0B}%\DeclareMathDelimiter{>}{\mathclose}{symbols}{"69}{largesymbols}{"0B}%\DeclareMathSymbol{\mid}{\mathrel}{symbols}{"6A}%\DeclareMathDelimiter{|}{\mathord}{symbols}{"6A}{largesymbols}{"0C}%\DeclareMathDelimiter{\arrowvert}{\mathord}{symbols}{"6A}{largesymbols}{"3C}%\DeclareMathDelimiter{\vert}{\mathord}{symbols}{"6A}{largesymbols}{"0C}%\DeclareMathSymbol{\parallel}{\mathrel}{symbols}{"6B}%\DeclareMathDelimiter{\Arrowvert}{\mathord}{symbols}{"6B}{largesymbols}{"3D}%\DeclareMathDelimiter{\Vert}{\mathord}{symbols}{"6B}{largesymbols}{"0D}%   \let\|=\Vert%\DeclareMathDelimiter{\updownarrow}{\mathrel}{symbols}{"6C}{largesymbols}{"3F}%\DeclareMathDelimiter{\Updownarrow}{\mathrel}{symbols}{"6D}{largesymbols}{"77}%\DeclareMathSymbol{\setminus}{\mathbin}{symbols}{"6E}%\DeclareMathDelimiter{\backslash}{\mathord}{symbols}{"6E}{largesymbols}{"0F}%\expandafter\DeclareMathDelimiter\@backslashchar{\mathord}{symbols}{"6E}{largesymbols}{"0F}%\DeclareMathSymbol{\wr}{\mathbin}{symbols}{"6F}%\def\surd{{\mathchar"1270}}%\DeclareMathRadical{\sqrtsign}{symbols}{"70}{largesymbols}{"70}%\DeclareMathSymbol{\amalg}{\mathbin}{symbols}{"71}%\DeclareMathSymbol{\nabla}{\mathord}{symbols}{"72}%\DeclareMathSymbol{\smallint}{\mathop}{symbols}{"73}%\DeclareMathSymbol{\sqcup}{\mathbin}{symbols}{"74}%\DeclareMathSymbol{\sqcap}{\mathbin}{symbols}{"75}%\DeclareMathSymbol{\sqsubseteq}{\mathrel}{symbols}{"76}%\DeclareMathSymbol{\sqsupseteq}{\mathrel}{symbols}{"77}%\DeclareMathSymbol{\mathsection}{\mathord}{symbols}{"78}%\DeclareMathSymbol{\dagger}{\mathbin}{symbols}{"79}%\DeclareMathSymbol{\ddagger}{\mathbin}{symbols}{"7A}%\DeclareMathSymbol{\mathparagraph}{\mathord}{symbols}{"7B}%\DeclareMathSymbol{\clubsuit}{\mathord}{symbols}{"7C}%\DeclareMathSymbol{\diamondsuit}{\mathord}{symbols}{"7D}%\DeclareMathSymbol{\heartsuit}{\mathord}{symbols}{"7E}%\DeclareMathSymbol{\spadesuit}{\mathord}{symbols}{"7F}%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Math Symbol A Definitions % AMSa%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\re@DeclareMathSymbol{\boxdot}{\mathbin}{AMSa}{"00}\re@DeclareMathSymbol{\boxplus}{\mathbin}{AMSa}{"01}\re@DeclareMathSymbol{\boxtimes}{\mathbin}{AMSa}{"02}\re@DeclareMathSymbol{\square}{\mathord}{AMSa}{"03}\re@DeclareMathSymbol{\blacksquare}{\mathord}{AMSa}{"04}\re@DeclareMathSymbol{\centerdot}{\mathbin}{AMSa}{"05}\re@DeclareMathSymbol{\lozenge}{\mathord}{AMSa}{"06}\re@DeclareMathSymbol{\blacklozenge}{\mathord}{AMSa}{"07}\re@DeclareMathSymbol{\circlearrowright}{\mathrel}{AMSa}{"08}\re@DeclareMathSymbol{\circlearrowleft}{\mathrel}{AMSa}{"09}\re@DeclareMathSymbol{\rightleftharpoons}{\mathrel}{AMSa}{"0A}\re@DeclareMathSymbol{\leftrightharpoons}{\mathrel}{AMSa}{"0B}\re@DeclareMathSymbol{\boxminus}{\mathbin}{AMSa}{"0C}\re@DeclareMathSymbol{\Vdash}{\mathrel}{AMSa}{"0D}\re@DeclareMathSymbol{\Vvdash}{\mathrel}{AMSa}{"0E}\re@DeclareMathSymbol{\vDash}{\mathrel}{AMSa}{"0F}\re@DeclareMathSymbol{\twoheadrightarrow}{\mathrel}{AMSa}{"10}\re@DeclareMathSymbol{\twoheadleftarrow}{\mathrel}{AMSa}{"11}\re@DeclareMathSymbol{\leftleftarrows}{\mathrel}{AMSa}{"12}\re@DeclareMathSymbol{\rightrightarrows}{\mathrel}{AMSa}{"13}\re@DeclareMathSymbol{\upuparrows}{\mathrel}{AMSa}{"14}\re@DeclareMathSymbol{\downdownarrows}{\mathrel}{AMSa}{"15}\re@DeclareMathSymbol{\upharpoonright}{\mathrel}{AMSa}{"16}   \let\restriction\upharpoonright\re@DeclareMathSymbol{\downharpoonright}{\mathrel}{AMSa}{"17}\re@DeclareMathSymbol{\upharpoonleft}{\mathrel}{AMSa}{"18}\re@DeclareMathSymbol{\downharpoonleft}{\mathrel}{AMSa}{"19}\re@DeclareMathSymbol{\rightarrowtail}{\mathrel}{AMSa}{"1A}\re@DeclareMathSymbol{\leftarrowtail}{\mathrel}{AMSa}{"1B}\re@DeclareMathSymbol{\leftrightarrows}{\mathrel}{AMSa}{"1C}\re@DeclareMathSymbol{\rightleftarrows}{\mathrel}{AMSa}{"1D}\re@DeclareMathSymbol{\Lsh}{\mathrel}{AMSa}{"1E}\re@DeclareMathSymbol{\Rsh}{\mathrel}{AMSa}{"1F}\re@DeclareMathSymbol{\rightsquigarrow}{\mathrel}{AMSa}{"20}\re@DeclareMathSymbol{\leftrightsquigarrow}{\mathrel}{AMSa}{"21}\re@DeclareMathSymbol{\looparrowleft}{\mathrel}{AMSa}{"22}\re@DeclareMathSymbol{\looparrowright}{\mathrel}{AMSa}{"23}\re@DeclareMathSymbol{\circeq}{\mathrel}{AMSa}{"24}\re@DeclareMathSymbol{\succsim}{\mathrel}{AMSa}{"25}\re@DeclareMathSymbol{\gtrsim}{\mathrel}{AMSa}{"26}\re@DeclareMathSymbol{\gtrapprox}{\mathrel}{AMSa}{"27}\re@DeclareMathSymbol{\multimap}{\mathrel}{AMSa}{"28}\re@DeclareMathSymbol{\therefore}{\mathrel}{AMSa}{"29}\re@DeclareMathSymbol{\because}{\mathrel}{AMSa}{"2A}\re@DeclareMathSymbol{\doteqdot}{\mathrel}{AMSa}{"2B}   \let\Doteq\doteqdot\re@DeclareMathSymbol{\triangleq}{\mathrel}{AMSa}{"2C}\re@DeclareMathSymbol{\precsim}{\mathrel}{AMSa}{"2D}\re@DeclareMathSymbol{\lesssim}{\mathrel}{AMSa}{"2E}\re@DeclareMathSymbol{\lessapprox}{\mathrel}{AMSa}{"2F}\re@DeclareMathSymbol{\eqslantless}{\mathrel}{AMSa}{"30}\re@DeclareMathSymbol{\eqslantgtr}{\mathrel}{AMSa}{"31}\re@DeclareMathSymbol{\curlyeqprec}{\mathrel}{AMSa}{"32}\re@DeclareMathSymbol{\curlyeqsucc}{\mathrel}{AMSa}{"33}\re@DeclareMathSymbol{\preccurlyeq}{\mathrel}{AMSa}{"34}\re@DeclareMathSymbol{\leqq}{\mathrel}{AMSa}{"35}\re@DeclareMathSymbol{\leqslant}{\mathrel}{AMSa}{"36}\re@DeclareMathSymbol{\lessgtr}{\mathrel}{AMSa}{"37}\re@DeclareMathSymbol{\backprime}{\mathord}{AMSa}{"38}\re@DeclareMathSymbol{\risingdotseq}{\mathrel}{AMSa}{"3A}\re@DeclareMathSymbol{\fallingdotseq}{\mathrel}{AMSa}{"3B}\re@DeclareMathSymbol{\succcurlyeq}{\mathrel}{AMSa}{"3C}\re@DeclareMathSymbol{\geqq}{\mathrel}{AMSa}{"3D}\re@DeclareMathSymbol{\geqslant}{\mathrel}{AMSa}{"3E}\re@DeclareMathSymbol{\gtrless}{\mathrel}{AMSa}{"3F}\re@DeclareMathSymbol{\sqsubset}{\mathrel}{AMSa}{"40}\re@DeclareMathSymbol{\sqsupset}{\mathrel}{AMSa}{"41}\re@DeclareMathSymbol{\vartriangleright}{\mathrel}{AMSa}{"42}\re@DeclareMathSymbol{\vartriangleleft}{\mathrel}{AMSa}{"43}\re@DeclareMathSymbol{\trianglerighteq}{\mathrel}{AMSa}{"44}\re@DeclareMathSymbol{\trianglelefteq}{\mathrel}{AMSa}{"45}\re@DeclareMathSymbol{\bigstar}{\mathord}{AMSa}{"46}\re@DeclareMathSymbol{\between}{\mathrel}{AMSa}{"47}\re@DeclareMathSymbol{\blacktriangledown}{\mathord}{AMSa}{"48}\re@DeclareMathSymbol{\blacktriangleright}{\mathrel}{AMSa}{"49}\re@DeclareMathSymbol{\blacktriangleleft}{\mathrel}{AMSa}{"4A}\re@DeclareMathSymbol{\vartriangle}{\mathrel}{AMSa}{"4D}\re@DeclareMathSymbol{\blacktriangle}{\mathord}{AMSa}{"4E}\re@DeclareMathSymbol{\triangledown}{\mathord}{AMSa}{"4F}\re@DeclareMathSymbol{\eqcirc}{\mathrel}{AMSa}{"50}\re@DeclareMathSymbol{\lesseqgtr}{\mathrel}{AMSa}{"51}\re@DeclareMathSymbol{\gtreqless}{\mathrel}{AMSa}{"52}\re@DeclareMathSymbol{\lesseqqgtr}{\mathrel}{AMSa}{"53}\re@DeclareMathSymbol{\gtreqqless}{\mathrel}{AMSa}{"54}\re@DeclareMathSymbol{\Rrightarrow}{\mathrel}{AMSa}{"56}\re@DeclareMathSymbol{\Lleftarrow}{\mathrel}{AMSa}{"57}\re@DeclareMathSymbol{\veebar}{\mathbin}{AMSa}{"59}\re@DeclareMathSymbol{\barwedge}{\mathbin}{AMSa}{"5A}\re@DeclareMathSymbol{\doublebarwedge}{\mathbin}{AMSa}{"5B}\re@DeclareMathSymbol{\angle}{\mathord}{AMSa}{"5C}\re@DeclareMathSymbol{\measuredangle}{\mathord}{AMSa}{"5D}\re@DeclareMathSymbol{\sphericalangle}{\mathord}{AMSa}{"5E}\re@DeclareMathSymbol{\varpropto}{\mathrel}{AMSa}{"5F}\re@DeclareMathSymbol{\smallsmile}{\mathrel}{AMSa}{"60}\re@DeclareMathSymbol{\smallfrown}{\mathrel}{AMSa}{"61}\re@DeclareMathSymbol{\Subset}{\mathrel}{AMSa}{"62}\re@DeclareMathSymbol{\Supset}{\mathrel}{AMSa}{"63}\re@DeclareMathSymbol{\Cup}{\mathbin}{AMSa}{"64}   \let\doublecup\Cup\re@DeclareMathSymbol{\Cap}{\mathbin}{AMSa}{"65}   \let\doublecap\Cap\re@DeclareMathSymbol{\curlywedge}{\mathbin}{AMSa}{"66}\re@DeclareMathSymbol{\curlyvee}{\mathbin}{AMSa}{"67}\re@DeclareMathSymbol{\leftthreetimes}{\mathbin}{AMSa}{"68}\re@DeclareMathSymbol{\rightthreetimes}{\mathbin}{AMSa}{"69}\re@DeclareMathSymbol{\subseteqq}{\mathrel}{AMSa}{"6A}\re@DeclareMathSymbol{\supseteqq}{\mathrel}{AMSa}{"6B}\re@DeclareMathSymbol{\bumpeq}{\mathrel}{AMSa}{"6C}\re@DeclareMathSymbol{\Bumpeq}{\mathrel}{AMSa}{"6D}\re@DeclareMathSymbol{\lll}{\mathrel}{AMSa}{"6E}   \let\llless\lll\re@DeclareMathSymbol{\ggg}{\mathrel}{AMSa}{"6F}   \let\gggtr\ggg\re@DeclareMathDelimiter\ulcorner{\mathopen}{AMSa}{"70}{AMSa}{"70}\re@DeclareMathDelimiter\urcorner{\mathclose}{AMSa}{"71}{AMSa}{"71}\re@DeclareMathSymbol{\circledS}{\mathord}{AMSa}{"73}\re@DeclareMathSymbol{\pitchfork}{\mathrel}{AMSa}{"74}\re@DeclareMathSymbol{\dotplus}{\mathbin}{AMSa}{"75}\re@DeclareMathSymbol{\backsim}{\mathrel}{AMSa}{"76}\re@DeclareMathSymbol{\backsimeq}{\mathrel}{AMSa}{"77}\re@DeclareMathDelimiter\llcorner{\mathopen}{AMSa}{"78}{AMSa}{"78}\re@DeclareMathDelimiter\lrcorner{\mathclose}{AMSa}{"79}{AMSa}{"79}\re@DeclareMathSymbol{\complement}{\mathord}{AMSa}{"7B}\re@DeclareMathSymbol{\intercal}{\mathbin}{AMSa}{"7C}\re@DeclareMathSymbol{\circledcirc}{\mathbin}{AMSa}{"7D}\re@DeclareMathSymbol{\circledast}{\mathbin}{AMSa}{"7E}\re@DeclareMathSymbol{\circleddash}{\mathbin}{AMSa}{"7F}\let\Box=\square % LaTeX symbol\re@DeclareMathSymbol{\rhd}{\mathbin}{AMSa}{"42} % LaTeX symbol\re@DeclareMathSymbol{\lhd}{\mathbin}{AMSa}{"43} % LaTeX symbol\re@DeclareMathSymbol{\unrhd}{\mathbin}{AMSa}{"44} % LaTeX symbol\re@DeclareMathSymbol{\unlhd}{\mathbin}{AMSa}{"45} % LaTeX symbol%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Math Symbol B Definitions % AMSb%%%%%%%%%%%%%%%%%%%%%%%%%%%%%\re@DeclareMathSymbol{\lvertneqq}{\mathrel}{AMSb}{"00}\re@DeclareMathSymbol{\gvertneqq}{\mathrel}{AMSb}{"01}\re@DeclareMathSymbol{\nleq}{\mathrel}{AMSb}{"02}\re@DeclareMathSymbol{\ngeq}{\mathrel}{AMSb}{"03}\re@DeclareMathSymbol{\nless}{\mathrel}{AMSb}{"04}\re@DeclareMathSymbol{\ngtr}{\mathrel}{AMSb}{"05}\re@DeclareMathSymbol{\nprec}{\mathrel}{AMSb}{"06}\re@DeclareMathSymbol{\nsucc}{\mathrel}{AMSb}{"07}\re@DeclareMathSymbol{\lneqq}{\mathrel}{AMSb}{"08}\re@DeclareMathSymbol{\gneqq}{\mathrel}{AMSb}{"09}\re@DeclareMathSymbol{\nleqslant}{\mathrel}{AMSb}{"0A}\re@DeclareMathSymbol{\ngeqslant}{\mathrel}{AMSb}{"0B}\re@DeclareMathSymbol{\lneq}{\mathrel}{AMSb}{"0C}\re@DeclareMathSymbol{\gneq}{\mathrel}{AMSb}{"0D}\re@DeclareMathSymbol{\npreceq}{\mathrel}{AMSb}{"0E}\re@DeclareMathSymbol{\nsucceq}{\mathrel}{AMSb}{"0F}\re@DeclareMathSymbol{\precnsim}{\mathrel}{AMSb}{"10}\re@DeclareMathSymbol{\succnsim}{\mathrel}{AMSb}{"11}\re@DeclareMathSymbol{\lnsim}{\mathrel}{AMSb}{"12}\re@DeclareMathSymbol{\gnsim}{\mathrel}{AMSb}{"13}\re@DeclareMathSymbol{\nleqq}{\mathrel}{AMSb}{"14}\re@DeclareMathSymbol{\ngeqq}{\mathrel}{AMSb}{"15}\re@DeclareMathSymbol{\precneqq}{\mathrel}{AMSb}{"16}\re@DeclareMathSymbol{\succneqq}{\mathrel}{AMSb}{"17}\re@DeclareMathSymbol{\precnapprox}{\mathrel}{AMSb}{"18}\re@DeclareMathSymbol{\succnapprox}{\mathrel}{AMSb}{"19}\re@DeclareMathSymbol{\lnapprox}{\mathrel}{AMSb}{"1A}\re@DeclareMathSymbol{\gnapprox}{\mathrel}{AMSb}{"1B}\re@DeclareMathSymbol{\nsim}{\mathrel}{AMSb}{"1C}\re@DeclareMathSymbol{\ncong}{\mathrel}{AMSb}{"1D}\re@DeclareMathSymbol{\diagup}{\mathord}{AMSb}{"1E}\re@DeclareMathSymbol{\diagdown}{\mathord}{AMSb}{"1F}\re@DeclareMathSymbol{\varsubsetneq}{\mathrel}{AMSb}{"20}\re@DeclareMathSymbol{\varsupsetneq}{\mathrel}{AMSb}{"21}\re@DeclareMathSymbol{\nsubseteqq}{\mathrel}{AMSb}{"22}\re@DeclareMathSymbol{\nsupseteqq}{\mathrel}{AMSb}{"23}\re@DeclareMathSymbol{\subsetneqq}{\mathrel}{AMSb}{"24}\re@DeclareMathSymbol{\supsetneqq}{\mathrel}{AMSb}{"25}\re@DeclareMathSymbol{\varsubsetneqq}{\mathrel}{AMSb}{"26}\re@DeclareMathSymbol{\varsupsetneqq}{\mathrel}{AMSb}{"27}\re@DeclareMathSymbol{\subsetneq}{\mathrel}{AMSb}{"28}\re@DeclareMathSymbol{\supsetneq}{\mathrel}{AMSb}{"29}\re@DeclareMathSymbol{\nsubseteq}{\mathrel}{AMSb}{"2A}\re@DeclareMathSymbol{\nsupseteq}{\mathrel}{AMSb}{"2B}\re@DeclareMathSymbol{\nparallel}{\mathrel}{AMSb}{"2C}\re@DeclareMathSymbol{\nmid}{\mathrel}{AMSb}{"2D}\re@DeclareMathSymbol{\nshortmid}{\mathrel}{AMSb}{"2E}\re@DeclareMathSymbol{\nshortparallel}{\mathrel}{AMSb}{"2F}

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