$LaTeX$ 公式大全

每次都要上网搜太麻烦了，故：

搬运自：https://www.luogu.com.cn/blog/IowaBattleship/latex-gong-shi-tai-quan

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数学公式的插入

将数学公式写在 $ $ 之间，代表的是插入行内数学公式（通常称为行内模式）。
将数学公式写在 $$ $$ 之间，会使公式独立成一行并强制居中（通常称为独立模式）。

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声调 / 变音符号

 $dot{a} ddot{a} acute{a} grave{a}$

(quaddot{a}quadddot{a}quadacute{a}quadgrave{a})

 $check{a} reve{a} 	ilde{a} ar{a}$ 

(quadcheck{a}quadreve{a}quad ilde{a}quadar{a})

 $hat{a} widehat{a} vec{a}$

(quadhat{a}quadwidehat{a}quadvec{a})

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标准函数

 $exp_a b=a^b exp b=e^b 10^m$

(quadexp_a b=a^bquadexp b=e^bquad10^m)

 $sin a cos b 	an c sec d csc e cot f$

(quadsin aquadcos bquad an cquadsec dquadcsc equadcot f)

 $arcsin a arccos b arctan c$

(quadarcsin aquadarccos bquadarctan c)

 $sinh a cosh b 	anh c coth d$

(quadsinh aquadcosh bquad anh cquadcoth d)

 $operatorname{sh} a operatorname{ch} b operatorname{th} c$

(quadoperatorname{sh} aquadoperatorname{ch} bquadoperatorname{th} c)

 $operatorname{argsh} a operatorname{argch} b operatorname{argth} c$
 ps:operatorname{} 貌似可以将任何字符转换成标准函数的形式。

(quadoperatorname{argsh} aquadoperatorname{argch} bquadoperatorname{argth} c)

 $leftvert a
ightvert min(x,y) max(x,y)$

(quadleftvert a ightvertquadmin(x,y)quadmax(x,y))

---

界限

 $min x max y inf s sup t$

(quadmin xquadmax yquadinf squadsup t)

 $lim u liminf v limsup w$

(quadlim uquadliminf vquadlimsup w)

 $dim p deg q det m kerphi$

(quaddim pquaddeg qquaddet mquadkerphi)

---

投射

(ps:)感觉这翻译很奇怪，应该是映射吧。

 $Pr j hom l lVert z
Vert arg z$
 ps:个人认为lVert、
Vert与Vert和|并没有什么区别。

(quadPr jquadhom lquadlVert z Vertquadarg z)

---

微分及导数

 $dt mathrm{d}t partial t 
ablapsi$

(quad dtquadmathrm{d}tquadpartial tquad ablapsi)

 $prime ackprime f^prime f' f'' f^{(3)} dot{y} ddot{y}$

(quadprimequadackprimequad f^primequad f'quad f''quad f^{(3)}quaddot{y}quadddot{y})

---

类字母符号及常数

 $infty aleph complement ackepsilon eth Finv hbar$

(quadinftyquadalephquadcomplementquadackepsilonquadethquadFinvquadhbar)

 $Im imath jmath Bbbk ell mho wp Re circledS$

(quadImquadimathquadjmathquadBbbkquadellquadmhoquadwpquadRequadcircledS)

---

模算数

 $aequiv1pmod{m}$

(quad aequiv1pmod{m})

 $amod b$

(quad amod b)

 $gcd(m,n) operatorname{lcm}(m,n)$

(quadgcd(m,n)quadoperatorname{lcm}(m,n))

 $mid 
mid shortmid 
shortmid$
 ps：mid可以用|代替。

(quadmidquad midquadshortmidquad shortmid)

(for special:)

 $a\%b$

(quad a\%b)

---

根号

 $surd sqrt{2} sqrt[n]{} sqrt[n]{x}$

(quadsurdquadsqrt{2}quadsqrt[n]{}quadsqrt[n]{x})

---

运算符

 $+ - pm mp dotplus$

(quad+quad-quadpmquadmpquaddotplus)

 $	imes div divideontimes / ackslash$

(quad imesquaddivquaddivideontimesquad/quadackslash)

 $cdot * star circ ullet$
 ps:*可以用ast代替。

(quadcdotquad*quadstarquadcircquadullet)

 $oxplus oxminus oxtimes oxdot$

(quadoxplusquadoxminusquadoxtimesquadoxdot)

 $oplus ominus otimes oslash odot$

(quadoplusquadominusquadotimesquadoslashquadodot)

 $circleddash circledcirc circledast$

(quadcircleddashquadcircledcircquadcircledast)

 $igoplus igotimes igodot$

(quadigoplusquadigotimesquadigodot)

---

集合

 ${ } emptyset varnothing$

(quad{quad}quademptysetquadvarnothing{})

 $in 
otin 
otin 
i 
ot
i$
 ps:
ot是在下一个字符上画斜杠。

(quadinquad otinquad otinquad iquad ot i)

 $cap Cap sqcap igcap$

(quadcapquadCapquadsqcapquadigcap)

 $cup Cup sqcup igcup igsqcup uplus iguplus$

(quadcupquadCupquadsqcupquadigcupquadigsqcupquaduplusquadiguplus)

 $setminus smallsetminus 	imes$

(quadsetminusquadsmallsetminusquad imes)

 $subset Subset sqsubset$

(quadsubsetquadSubsetquadsqsubset)

 $supset Supset sqsupset$

(quadsupsetquadSupsetquadsqsupset)

 $subseteq 
subseteq subsetneq varsubsetneq sqsubseteq$

(quadsubseteqquad subseteqquadsubsetneqquadvarsubsetneqquadsqsubseteq)

 $supseteq 
supseteq supsetneq varsupsetneq sqsupseteq$

(quadsupseteqquad supseteqquadsupsetneqquadvarsupsetneqquadsqsupseteq)

 $subseteqq 
subseteqq subsetneqq varsubsetneqq$

(quadsubseteqqquad subseteqqquadsubsetneqqquadvarsubsetneqq)

 $supseteqq 
supseteqq supsetneqq varsupsetneqq$

(quadsupseteqqquad supseteqqquadsupsetneqqquadvarsupsetneqq)

---

关系符号

 $= 
e 
eq equiv 
otequiv$
 ps:表示并没有看出来
e和
eq的区别……

(quad=quad equad eqquadequivquad otequiv)

 $doteq doteqdot overset{underset{def}{}}{=} :=$

(quaddoteqquaddoteqdotquadoverset{underset{def}{}}{=}quad:=)

 $sim 
sim acksim 	hicksim simeq acksimeq eqsim cong 
cong$

(quadsimquad simquadacksimquad hicksimquadsimeqquadacksimeqquadeqsimquadcongquad cong)

 $approx 	hickapprox approxeq asymp propto varpropto$

(quadapproxquad hickapproxquadapproxeqquadasympquadproptoquadvarpropto)

 $< 
less ll 
otll lll 
otlll lessdot$

(quad<quad lessquadllquad otllquadlllquad otlllquadlessdot)

 $> 
gtr gg 
otgg ggg 
otggg gtrdot$

(quad>quad gtrquadggquad otggquadgggquad otgggquadgtrdot)

 $le leq lneq leqq 
leq 
leqq lneqq lvertneqq$

(quadlequadleqquadlneqquadleqqquad leqquad leqqquadlneqqquadlvertneqq)

 $ge geq gneq geqq 
geq 
geqq gneqq gvertneqq$

(quadgequadgeqquadgneqquadgeqqquad geqquad geqqquadgneqqquadgvertneqq)

 $lessgtr lesseqgtr lesseqqgtr gtrless gtreqless gtreqqless$

(quadlessgtrquadlesseqgtrquadlesseqqgtrquadgtrlessquadgtreqlessquadgtreqqless)

 $leqslant 
leqslant eqslantless$

(quadleqslantquad leqslantquadeqslantless)

 $geqslant 
geqslant eqslantgtr$

(quadgeqslantquad geqslantquadeqslantgtr)

 $lesssim lnsim lessapprox lnapprox$

(quadlesssimquadlnsimquadlessapproxquadlnapprox)

 $gtrsim gnsim gtrapprox gnapprox$

(quadgtrsimquadgnsimquadgtrapproxquadgnapprox)

 $prec 
prec preceq 
preceq precneqq$

(quadprecquad precquadpreceqquad preceqquadprecneqq)

 $succ 
succ succeq 
succeq succneqq$

(quadsuccquad succquadsucceqquad succeqquadsuccneqq)

 $preccurlyeq curlyeqprec$

(quadpreccurlyeqquadcurlyeqprec)

 $succcurlyeq curlyeqsucc$

(quadsucccurlyeqquadcurlyeqsucc)

 $precsim precnsim precapprox precnapprox$

(quadprecsimquadprecnsimquadprecapproxquadprecnapprox)

 $succsim succnsim succapprox succnapprox$

(quadsuccsimquadsuccnsimquadsuccapproxquadsuccnapprox)

---

几何符号

 $parallel 
parallel shortparallel 
shortparallel$
 ps:parallel应该和|是一样的。

(quadparallelquad parallelquadshortparallelquad shortparallel)

 $perp angle sphericalangle measuredangle 45^circ$

(quadperpquadanglequadsphericalanglequadmeasuredanglequad45^circ)

 $Box lacksquare diamond Diamond lozenge lacklozenge igstar$

(quadBoxquadlacksquarequaddiamondquadDiamondquadlozengequadlacklozengequadigstar)

 $igcirc 	riangle igtriangleup igtriangledown$
 ps:并没有看出	riangle和igtriangleup有什么区别。

(quadigcircquad rianglequadigtriangleupquadigtriangledown)

 $vartriangle 	riangledown 	riangleleft 	riangleright$

(quadvartrianglequad riangledownquad riangleleftquad riangleright)

 $lacktriangle lacktriangledown lacktriangleleft lacktriangleright$

(quadlacktrianglequadlacktriangledownquadlacktriangleleftquadlacktriangleright)

---

逻辑符号

 $forall exists 
exists$

(quadforallquadexistsquad exists)

 $	herefore ecause And$
 ps:And也可用&，至少我没看出来这两个有什么差别。

(quad hereforequadecausequadAnd)

 $lor vee curlyvee igvee$

(quadlorquadveequadcurlyveequadigvee)

 $land wedge curlywedge igwedge$

(quadlandquadwedgequadcurlywedgequadigwedge)

 $ar{q} ar{abc} overline{q} overline{abc}$

(quadar{q}quadar{abc}quadoverline{q}quadoverline{abc})

 $lnot 
eg ot 	op$

(quadlnotquad egquadotquad op)

 $vdash dashv vDash Vdash models$

(quadvdashquaddashvquadvDashquadVdashquadmodels)

 $Vvdash 
vdash 
Vdash 
vDash 
VDash$

(quadVvdashquad vdashquad Vdashquad vDashquad VDash)

 $ulcorner urcorner llcorner lrcorner$

(quadulcornerquadurcornerquadllcornerquadlrcorner)

---

箭头

 $Rrightarrow Lleftarrow$

(quadRrightarrowquadLleftarrow)

 $Rightarrow 
Rightarrow Longrightarrow implies$

(quadRightarrowquad RightarrowquadLongrightarrowquadimplies)

 $Leftarrow 
Leftarrow Longleftarrow$

(quadLeftarrowquad LeftarrowquadLongleftarrow)

 $Leftrightarrow 
Leftrightarrow Longleftrightarrow iff$

(quadLeftrightarrowquad LeftrightarrowquadLongleftrightarrowquadiff)

 $Uparrow Downarrow Updownarrow$

(quadUparrowquadDownarrowquadUpdownarrow)

 $leftarrow 
ightarrow 
leftarrow 
rightarrow leftrightarrow 
leftrightarrow longleftarrow longrightarrow longleftrightarrow$
 ps:leftarrow可用gets代替，
ightarrow可用	o代替。

(quadleftarrowquad ightarrowquad leftarrowquad rightarrowquadleftrightarrowquad leftrightarrowquadlongleftarrowquadlongrightarrowquadlongleftrightarrow)

 $uparrow downarrow updownarrow 
earrow searrow 
warrow swarrow$

(quaduparrowquaddownarrowquadupdownarrowquad earrowquadsearrowquad warrowquadswarrow)

 $mapsto longmapsto$

(quadmapstoquadlongmapsto)

 $
ightharpoonup 
ightharpoondown leftharpoonup leftharpoondown upharpoonleft upharpoonright downharpoonleft downharpoonright leftrightharpoons 
ightleftharpoons$

(quad ightharpoonupquad ightharpoondownquadleftharpoonupquadleftharpoondownquadupharpoonleftquadupharpoonrightquaddownharpoonleftquaddownharpoonrightquadleftrightharpoonsquad ightleftharpoons)

 $curvearrowleft circlearrowleft Lsh upuparrows 
ightrightarrows 
ightleftarrows 
ightarrowtail looparrowright$

(quadcurvearrowleftquadcirclearrowleftquadLshquadupuparrowsquad ightrightarrowsquad ightleftarrowsquad ightarrowtailquadlooparrowright)

 $curvearrowright circlearrowright Rsh downdownarrows leftleftarrows leftrightarrows leftarrowtail looparrowleft looparrowright$

(quadcurvearrowrightquadcirclearrowrightquadRshquaddowndownarrowsquadleftleftarrowsquadleftrightarrowsquadleftarrowtailquadlooparrowleftquadlooparrowright)

 $hookrightarrow hookleftarrow multimap leftrightsquigarrow 
ightsquigarrow 	woheadrightarrow 	woheadleftarrow$

(quadhookrightarrowquadhookleftarrowquadmultimapquadleftrightsquigarrowquad ightsquigarrowquad woheadrightarrowquad woheadleftarrow)

 $xleftarrow{left} xrightarrow{right} xLeftarrow{Left} xRightarrow{Right} xleftrightarrow{left& right} xLeftrightarrow{Left& Right}$

(quadxleftarrow{left}quad xrightarrow{right} quad xLeftarrow{Left} quad xRightarrow{Right} quad xleftrightarrow{left& right} quad xLeftrightarrow{Left& Right})

---

特殊符号

 $amalg \% dagger ddagger ldots cdots$
 ps:dots和ldots貌似是一样的。

(quadamalgquad\%quaddaggerquadddaggerquadldotsquadcdots)

 $smile frown wr$

(quadsmilequadfrownquadwr)

 $diamondsuit heartsuit clubsuit spadesuit Game flat 
atural sharp$

(quaddiamondsuitquadheartsuitquadclubsuitquadspadesuitquadGamequadflatquad aturalquadsharp)

以下是 Wiki 中没有分类的符号，我暂且将其归入特殊符号中。

 $diagup diagdown centerdot ltimes 
times leftthreetimes 
ightthreetimes$

(quaddiagupquaddiagdownquadcenterdotquadltimesquad timesquadleftthreetimesquad ightthreetimes)

 $eqcirc circeq 	riangleq umpeq Bumpeq doteqdot 
isingdotseq fallingdotseq$

(quadeqcircquadcirceqquad riangleqquadumpeqquadBumpeqquaddoteqdotquad isingdotseqquadfallingdotseq)

 $intercal arwedge veebar doublebarwedge etween pitchfork$

(quadintercalquadarwedgequadveebarquaddoublebarwedgequadetweenquadpitchfork)

 $vartriangleleft 
triangleleft vartriangleright 
triangleright$

(quadvartriangleleftquad triangleleftquadvartrianglerightquad triangleright)

 $	rianglelefteq 
trianglelefteq 	rianglerighteq 
trianglerighteq$

(quad rianglelefteqquad trianglelefteqquad rianglerighteqquad trianglerighteq)

 $LaTeX$
 ps:应评论要求加上，其实介于阅读体验还是少用些。

(quadLaTeX)

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上标、下标及积分等

上标

 $a^2$

(quad a^2)

下标

 $a_2$

(quad a_2)

组合

 $a^{2+2} a_{i,j}$

(quad a^{2+2}quad a_{i,j})

结合上下标

 $a^2_2$

(quad a^2_2)

前置上下标

 ${}^2_1!X^3_4$
 ps:!的作用在下面空格一栏有讲述。

(quad {}^2_1!X^3_4)

导数

 $ (HTML)x' (PNG)x^prime (错误)xprime$

(quad x'quad x^primequad xprime)

导数点

 $dot{x} ddot{x}$

(quaddot{x}quadddot{x})

向量

 $vec{x} overleftarrow{AB} overrightarrow{AB} widehat{AB}$

(quadvec{a}quadoverleftarrow{AB}quadoverrightarrow{AB}quadwidehat{AB})

上弧

 $overset{frown}{AB}$
 ps:正确的语法应该是overarc，但因为没有引入amsmath宏包，所以无法使用，只能用这个替代下。

(quadoverset{frown}{AB})

上划线

 $overline{ABC}$

(quadoverline{ABC})

下划线

 $underline{ABC}$

(quadunderline{ABC})

上括号

 $overbrace{1+2+cdots+100}$  
 $egin{matrix}5050\overbrace{1+2+cdots+100}end{matrix}$  
 ps:'\'是换行的意思。

(quadoverbrace{1+2+cdots+100})
(quadegin{matrix}5050\overbrace{1+2+cdots+100}end{matrix})

下括号

 $underbrace{1+2+cdots+100}$  
 $egin{matrix}underbrace{1+2+cdots+100}\5050end{matrix}$

(quadunderbrace{1+2+cdots+100})
(quadegin{matrix}underbrace{1+2+cdots+100}\5050end{matrix})

求和

 $sum_{i=1}^na_i sumlimits_{i=1}^na_i$

(quadsum_{i=1}^na_iquadsumlimits_{i=1}^na_i)

求积

 $prod_{i=1}^na_i prodlimits_{i=1}^na_i$

(quadprod_{i=1}^na_iquadprodlimits_{i=1}^na_i)

上积

 $coprod_{i=1}^na_i coprodlimits_{i=1}^na_i$

(quadcoprod_{i=1}^na_iquadcoprodlimits_{i=1}^na_i)

极限

 $lim_{n	oinfty}x_n limlimits_{n	oinfty}x_n$

(quadlim_{n oinfty}x_nquadlimlimits_{n oinfty}x_n)

积分

 $int_{-N}^{N}e^x\,dx$
 ps:\,的作用在下面空格一栏有讲。

(quadint_{-N}^{N}e^x\,dx)

双重积分

 $iint_M^Ndx\,dy$

(quadiint_M^Ndx\,dy)

三重积分

 $iiint_M^Ndx\,dy\,dz$

(quadiiint_M^Ndx\,dy\,dz)

闭合的曲线、曲面积分

 $oint_Cx^3\,dx+4y^2\,dy$

(quadoint_Cx^3\,dx+4y^2\,dy)

交集

 $igcap_1^np igcaplimits_1^np$

(quadigcap_1^npquadigcaplimits_1^np)

并集

 $igcup_1^np igcuplimits_1^np$

(quadigcup_1^npquadigcuplimits_1^np)

---

分数、矩阵等

分数

 $frac{1}{2}=0.5$

(quadfrac{1}{2}=0.5)

小型分数

 $	frac{1}{2}=0.5$
 ps:并不清楚为什么洛谷的LaTeX里普通分数和小型分数一样大……

(quad frac{1}{2}=0.5)

大型分数

 $dfrac{1}{2}=0.5 dfrac{1}{x+dfrac{3}{y+dfrac{1}{5}}}$

(quaddfrac{1}{2}=0.5qquaddfrac{1}{x+dfrac{3}{y+dfrac{1}{5}}})

二项式系数

 $dbinom{n}{m}=dbinom{n}{n-m}=C_n^m=C_n^{n-m}$

(quaddbinom{n}{m}=dbinom{n}{n-m}=C_n^m=C_n^{n-m})

小型二项式系数

 $	binom{n}{m}=	binom{n}{n-m}=C_n^m=C_n^{n-m}$

(quad binom{n}{m}= binom{n}{n-m}=C_n^m=C_n^{n-m})

 $inom{n}{m}=inom{n}{n-m}=C_n^m=C_n^{n-m}$

(quadinom{n}{m}=inom{n}{n-m}=C_n^m=C_n^{n-m})

矩阵

 $egin{matrix}a&b\c&dend{matrix}$
 ps:&是使上下行对齐。

(quadegin{matrix}a&b\c&dend{matrix})

 $egin{vmatrix}a&b\c&dend{vmatrix}$

(quadegin{vmatrix}a&b\c&dend{vmatrix})

 $egin{Vmatrix}a&b\c&dend{Vmatrix}$

(quadegin{Vmatrix}a&b\c&dend{Vmatrix})

 $egin{bmatrix}a&cdots&b\vdots&ddots&vdots\c&cdots&dend{bmatrix}$
 ps:vdots是竖着3个点，ddots是斜着3个点。

(quadegin{bmatrix}a&cdots&b\vdots&ddots&vdots\c&cdots&dend{bmatrix})

 $egin{Bmatrix}a&c\b&dend{Bmatrix}$

(quadegin{Bmatrix}a&c\b&dend{Bmatrix})

 $egin{pmatrix}a&c\b&dend{pmatrix}$

(quadegin{pmatrix}a&c\b&dend{pmatrix})

矩阵嵌套

 $egin{vmatrix} egin{Bmatrix}A & \ c & d end{Bmatrix} & x\ dfrac{1}{2} & egin{matrix} 1 & 2 \ 3 & 4 end{matrix} end{vmatrix}$ 

(quad egin{vmatrix} egin{Bmatrix}A & \ c & d end{Bmatrix} & x\ dfrac{1}{2} & egin{matrix} 1 & 2 \ 3 & 4 end{matrix} end{vmatrix})

条件定义(如分段函数)

 $f(x)=egin{cases}x-1&xleqslant3\x^2+3x-1&x>3end{cases}$

(quad f(x)=egin{cases}x-1&xleqslant3\x^2+3x-1&x>3end{cases})

方程组

 $egin{cases}2x+9y-5z=10\4x+20y+z=24\x-dfrac{1}{2}y+3z=8end{cases}$

(quadegin{cases}2x+9y-5z=10\4x+20y+z=24\x-dfrac{1}{2}y+3z=8end{cases})

多行等式

 $egin{aligned}f(x) & = (x + 1)^2 \ & = x^2 + 2x + 1end{aligned}$  
 $egin{aligned}a_1 & = 1 \ a_2 & = 2 \ & dots \ a_n & = nend{aligned}$
 ps:原语法为align，现在是aligned。

(quadegin{aligned}f(x) & = (x + 1)^2 \ & = x^2 + 2x + 1end{aligned}qquadegin{aligned}a_1 & = 1 \ a_2 & = 2 \ & dots \ a_n & = nend{aligned})

数组 / 表格

 $egin{array}{|c|c||c|}x&y&z\8&2&4\2&3&9\10&dfrac{3}{4}&sqrt{3}\a&b&cend{array}$
 ps:egin{array}{}←这个大括号里是形如'|c|c||c|'这样的格式，'|'是两列的分割线，'c'是表示这里有一列，而内容中使用'&'来分开每一列的内容。这里可能讲的不是很清楚，所以最好还是自己尝试一下。

(quadegin{array}{|c|c||c|}x&y&z\8&2&4\2&3&9\10&dfrac{3}{4}&sqrt{3}\a&b&cend{array})

---

字体

希腊字母

 $AlphaBetaGammaDelta EZHTheta$

(quad AlphaBetaGammaDelta EZHTheta)

 $IotaKappaLambda MNXi OPi$

(quad IotaKappaLambda MNXi OPi)

 $RhoSigma TUpsilonPhi XPsiOmega$

(quad RhoSigma TUpsilonPhi XPsiOmega)

 $alphaetagammadeltaepsilonzetaeta	heta$

(quadalphaetagammadeltaepsilonzetaeta heta)

 $iotakappalambdamu
uxiomicronpi$

(quadiotakappalambdamu uxiomicronpi)

 $
hosigma	auupsilonphichipsiomega$

(quad hosigma auupsilonphichipsiomega)

 $varepsilondigammavarkappavarpi$

(quadvarepsilondigammavarkappavarpi)

 $varrhovarsigmavarthetavarphi$

(quadvarrhovarsigmavarthetavarphi)

希伯来符号

 $alephethgimeldaleth$

(quadalephethgimeldaleth)

黑板粗体

 $mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
 ps:仅支持大写英文字母。

(quadmathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ})

粗体

 $mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $mathbf{abcdefghijklmnopqrstuvwxyz}$
 $mathbf{0123456789}$
 ps:支持大小写英文字母、数字和大写希腊字母。

(quadmathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quadmathbf{abcdefghijklmnopqrstuvwxyz})
(quadmathbf{AlphaBetaGammaDelta EZHTheta})
(quadmathbf{IotaKappaLambda MNXi OPi})
(quadmathbf{RhoSigma TUpsilonPhi XPsiOmega})
(quadmathbf{0123456789})

斜体(英文字母和小写希腊字母默认)

 $mathit{AlphaBetaGammaDelta EZHTheta}$  
 $mathit{IotaKappaLambda MNXi OPi}$  
 $mathit{RhoSigma TUpsilonPhi XPsiOmega}$  
 $mathit{0123456789}$  

(quadmathit{AlphaBetaGammaDelta EZHTheta})
(quadmathit{IotaKappaLambda MNXi OPi})
(quadmathit{RhoSigma TUpsilonPhi XPsiOmega})
(quadmathit{0123456789})

罗马体

 $mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $mathrm{abcdefghijklmnopqrstuvwxyz}$  
 $mathrm{0123456789}$
 ps:支持大小写英文字母和数字。

(quadmathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quadmathrm{abcdefghijklmnopqrstuvwxyz})
(quadmathrm{0123456789})

打字机字体

 $mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $mathtt{abcdefghijklmnopqrstuvwxyz}$  
 $mathtt{AlphaBetaGammaDelta EZHTheta}$  
 $mathtt{IotaKappaLambda MNXi OPi}$  
 $mathtt{RhoSigma TUpsilonPhi XPsiOmega}$  
 $mathtt{0123456789}$  
 ps:支持大小写英文字母、大写希腊字母和数字。

(quad mathtt{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quad mathtt{abcdefghijklmnopqrstuvwxyz})
(quad mathtt{AlphaBetaGammaDelta EZHTheta})
(quad mathtt{IotaKappaLambda MNXi OPi})
(quad mathtt{RhoSigma TUpsilonPhi XPsiOmega})
(quad mathtt{0123456789})

无衬线体

 $mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $mathsf{abcdefghijklmnopqrstuvwxyz}$  
 $mathsf{AlphaBetaGammaDelta EZHTheta}$  
 $mathsf{IotaKappaLambda MNXi OPi}$  
 $mathsf{RhoSigma TUpsilonPhi XPsiOmega}$  
 $mathsf{0123456789}$
 ps:支持大小写英文字母、大写希腊字母和数字。

(quadmathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quadmathsf{abcdefghijklmnopqrstuvwxyz})
(quadmathsf{A BGammaDelta EZHTheta})
(quadmathsf{IotaKappaLambda MNXi OPi})
(quadmathsf{RhoSigma TUpsilonPhi XPsiOmega})
(quadmathsf{0123456789})

手写体 / 花体

 $mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $mathcal{0123456789}$
 ps:支持大写英文字母和数字。

(quadmathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quadmathcal{0123456789})

FrakturFraktur 体

 $mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $mathfrak{abcdefghijklmnopqrstuvwxyz}$  
 $mathfrak{0123456789}$
 ps:支持大小写英文字母和数字。

(quadmathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quadmathfrak{abcdefghijklmnopqrstuvwxyz})
(quadmathfrak{0123456789})

小型非斜体字

 $scriptstyle	ext{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
 $scriptstyle	ext{abcdefghijklmnopqrstuvwxyz}$  
 $scriptstyle	ext{0123456789}$
 ps:支持大小写英文字母和数字，	ext见下一栏。

(quadscriptstyle ext{ABCDEFGHIJKLMNOPQRSTUVWXYZ})
(quadscriptstyle ext{abcdefghijklmnopqrstuvwxyz})
(quadscriptstyle ext{0123456789})

---

混合字体

斜体字符

 $x y z$
 ps:忽略公式源码中的空格，要强制空格的看下面空格一栏。

(quad x y z)

非斜体字符

 $	ext{x y z} 	ext{中文}$
 ps:不会忽略空格，支持大小写英文字母和数字，以及中文。

(quad ext{x y z}quad ext{中文})

混合斜体与非斜体

 $	ext{if }n	ext{ is even}$
 ps:注意在	ext中使用空格来显得更好看，或者可以用强制空格代替。

(quad ext{if }n ext{ is even})

---

括号

普通括号

 $(dfrac{1}{2}) (dfrac{1}{x+dfrac{2}{3}})$
 ps:对于较大的式子显得比较难看。

(quad(dfrac{1}{2})qquad(dfrac{1}{x+dfrac{2}{3}}))

根据式子大小匹配的括号

 $left(dfrac{1}{2}
ight) left(dfrac{1}{x+dfrac{2}{3}}
ight)$

(quadleft(dfrac{1}{2} ight)qquadleft(dfrac{1}{x+dfrac{2}{3}} ight))

此功能 (使用left和 ight)可以推广到不同的括号：

圆括号 / 小括号

 $left(dfrac{1}{2}
ight)$

(quadleft(dfrac{1}{2} ight))

方括号 / 中括号

 $left[dfrac{1}{2}
ight]$

(quadleft[dfrac{1}{2} ight])

花括号 / 大括号

 $left{dfrac{1}{2}
ight}$
 ps:注意大括号要用{和}。

(quadleft{dfrac{1}{2} ight})

角括号

 $leftlangledfrac{1}{2}
ight
angle$
 ps:langle可以用<，
angle可以用>。

(quadleftlangledfrac{1}{2} ight angle)

单竖线 / 绝对值

 $left|dfrac{1}{2}
ight|$

(quadleft|dfrac{1}{2} ight|)

双竖线

 $left|dfrac{1}{2}
ight|$

(quadleft|dfrac{1}{2} ight|)

向下取整

 $leftlfloordfrac{1}{2}
ight
floor$

(quadleftlfloordfrac{1}{2} ight floor)

向上取整

 $leftlceildfrac{1}{2}
ight
ceil$

(quadleftlceildfrac{1}{2} ight ceil)

斜线

 $left/dfrac{1}{2}
ight/$

(quadleft/dfrac{1}{2} ight/)

反斜线

 $leftackslashdfrac{1}{2}
ightackslash$

(quadleftackslashdfrac{1}{2} ightackslash)

上下箭头

 $leftuparrowdfrac{1}{2}
ightuparrow$

$quadleftuparrowdfrac{1}{2}
ightuparrow$

```plain
 $leftDownarrowdfrac{1}{2}
ightDownarrow$

(quadleftDownarrowdfrac{1}{2} ightDownarrow)

 $leftupdownarrowdfrac{1}{2}
ightupdownarrow$

(quadleftupdownarrowdfrac{1}{2} ightupdownarrow)

因为上下箭头太多了，这里就不一一示范了（其实是我懒）。

混合括号

其实上述括号都可以混合使用，这里就随便列两个了。

 $left<dfrac{1}{2}
ight/$

(quadleft<dfrac{1}{2} ight/)

 $left(dfrac{1}{2},1
ight]$

(quadleft(dfrac{1}{2},1 ight])

单左括号

上述括号都适用，这里就随便列一个。

 $left(dfrac{1}{2}
ight.$

(quadleft(dfrac{1}{2} ight.)

单右括号

同上。

 $left.dfrac{1}{2}
ight]$

(quadleft.dfrac{1}{2} ight])

强制括号大小

 $Bigg(igg[Big{ig<xig>Big}igg]Bigg)$
 ps:即使用Bigg、igg、Big、ig来控制括号大小。

(quadBigg(igg[Big{ig<xig>Big}igg]Bigg))

---

空格

一般 (LaTeX) 能自动处理大多数空格，但必要时候需要强制控制大小。

紧贴

 $x!y$

(quad x!y)

宽度为 (-frac{m}{6})

无空格

 $xy$

(quad xy)

宽度为 (0)

小空格

 $x\,y$

(quad x\,y)

宽度为 (frac{m}{6})

中等空格

 $x;y$

(quad x;y)

宽度为 (frac{2m}{7})

大空格

 $x y$

(quad x y)

宽度为 (frac{m}{3})

quad 空格

 $xquad y$

(quad xquad y)

宽度为 (m)

两个 quad 空格

 $xqquad y$

(quad xqquad y)

宽度为 (2m)

---

颜色

语法

字体颜色：{color{色调}表达式}
背景颜色：{color{文字色调}colorbox{背景色调}{表达式(可以打中文)}}

洛谷内支持的颜色(洛谷里有挺多颜色是不支持的，而且有些颜色和 Wiki 上不太一样……)

({color{Aquamarine}{Aquamarine}})
({color{Black}{Black}})
({color{Blue}{Blue}})
({color{BlueViolet}{BlueViolet}})
({color{Brown}{Brown}})
({color{CadetBlue}{CadetBlue}})
({color{CornflowerBlue}{CornflowerBlue}})
({color{Cyan}{Cyan}})
({color{DarkOrchid}{DarkOrchid}})
({color{ForestGreen}{ForestGreen}})
({color{Fuchsia}{Fuchsia}})
({color{Goldenrod}{Goldenrod}})
({color{Gold}{Gold}})
({color{Gray}{Gray}})
({color{CadetBlue}{CadetBlue}})
({color{Green}{Green}})
({color{GreenYellow}{GreenYellow}})
({color{Lavender}{Lavender}})
({color{LimeGreen}{LimeGreen}})
({color{Magenta}{Magenta}})
({color{Maroon}{Maroon}})
({color{Orange}{Orange}})
({color{OrangeRed}{OrangeRed}})
({color{Orchid}{Orchid}})
({color{Plum}{Plum}})
({color{Purple}{Purple}})
({color{Red}{Red}})
({color{RoyalBlue}{RoyalBlue}})
({color{Salmon}{Salmon}})
({color{SeaGreen}{SeaGreen}})
({color{SkyBlue}{SkyBlue}})
({color{SpringGreen}{SpringGreen}})
({color{Tan}{Tan}})
({color{Thistle}{Thistle}})
({color{Turquoise}{Turquoise}})
({color{Violet}{Violet}})
({color{White}{White}}gets) 这是白= =
({color{Yellow}{Yellow}})
({color{YellowGreen}{YellowGreen}})

随便举个例子：

 $x=dfrac{-bpmsqrt{color{Red}b^2-4ac}}{color{Blue}2a}$

$quad x=dfrac{-bpmsqrt{color{Red}b^2-4ac}}{color{Blue}2a}

 $color{Blue}colorbox{Yellow}{LaTeX公式大全}$

(quadcolor{Blue}colorbox{Yellow}{LaTeX公式大全})

---

把数学公式框起来

 $$oxed{sumlimits_{i = 1}^{n} i = dfrac{n(n - 1)}{2}}$$
 ps:对于行内模式同样有效，不过大多情况用于独立模式。

(oxed{sumlimits_{i = 1}^{n} i = dfrac{n(n - 1)}{2}})