LaTeX数学公式大全

原写于我的洛谷博客(传送门),现搬到这个博客上。

建议去洛谷博客上看,因为两边的编辑器在有些功能上不能通用,所以之后若有删改或新增内容只在洛谷博客上弄,这边就懒得改了。

原本是针对洛谷的编辑器,不过懒得对博客园的进行修改了,就直接搬过来了,想来也够用了(对于某些在该编辑器上无法使用的直接删去了)。
表示颜色这一块出了奇怪的问题。。只好重改了。。
我用的是(Markdown)编辑器。


(ps:)资料来源于(Wiki),凑合着看吧,不过洛谷的(LaTeX)对有些符号或功能并不支持,我就没有打上。
本文纯手打。
排版不好,见谅。
(Update 2018/6/5:)最近重新再(Wiki)上搜了下,悲催的发现我做来源的页面是古老版本……,现在的页面将这些符号大多重分类,也就是说我要重构整篇文章……(哭
(Update 2018/6/20:)最近发现一个式子可以使用背景颜色,然而(Wiki)上并没有(QAQ)。顺便将不同类别用分割线隔了下。
(Update 2018/6/24:)在打题解的时候突然发现在洛谷的(LaTeX)里还是可以插入中文的,所以就加了下,见字体一栏。


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})


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)

$operatorname{argsh} a operatorname{argch} b operatorname{argth} c$
 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)

$in 
otin 
i$

(quadinquad otinquad iquad i ot)

$cap Cap sqcap igcap$

(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

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

(quad=quad equad eqquadequivquadequiv ot)

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

(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)

$< 
less ll lll lessdot$

(quad<quad lessquadllquadlllquadlessdot)

$> 
gtr gg ggg gtrdot$

(quad>quad gtrquadggquadgggquadgtrdot)

$le leq lneq leqq 
leq 
leqq lneqq lvertneqq$

(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)

$curvearrowright circlearrowright Rsh downdownarrows leftleftarrows leftrightarrows leftarrowtail looparrowleft$

(quadcurvearrowrightquadcirclearrowrightquadRshquaddowndownarrowsquadleftleftarrowsquadleftrightarrowsquadleftarrowtailquadlooparrowleft)

$hookrightarrow hookleftarrow multimap leftrightsquigarrow 
ightsquigarrow 	woheadrightarrow 	woheadleftarrow

(quadhookrightarrowquadhookleftarrowquadmultimapquadleftrightsquigarrowquad ightsquigarrowquad woheadrightarrowquad woheadleftarrow)


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)


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{arcs}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

洛谷暂不支持多行等式,所以这里就没有列出了(其实可以用矩阵来装作多行等式)。

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})

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})

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

貌似洛谷对一些希腊字母不支持,也许是因为像英文字母,所以我这里只好用英文字母代替了。

$A BGammaDelta EZHTheta$

(quad A BGammaDelta EZHTheta)

$IKLambda MNXi OPi$

(quad IKLambda MNXi OPi)

$PSigma TUpsilonPhi XPsiOmega$

(quad PSigma 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)

中间空心的粗体

$mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$
 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{A BGammaDelta EZHTheta})
(quadmathbf{IKLambda MNXi OPi})
(quadmathbf{PSigma TUpsilonPhi XPsiOmega})
(quadmathbf{0123456789})

斜体(英文字母和小写希腊字母默认)

$mathit{A BGammaDelta EZHTheta}$  
$mathit{IKLambda MNXi OPi}$  
$mathit{PSigma TUpsilonPhi XPsiOmega}$  
$mathit{0123456789}$  

(quadmathit{A BGammaDelta EZHTheta})
(quadmathit{IKLambda MNXi OPi})
(quadmathit{PSigma 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})

无衬线体

$mathsf{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
$mathsf{abcdefghijklmnopqrstuvwxyz}$  
$mathsf{A BGammaDelta EZHTheta}$  
$mathsf{IKLambda MNXi OPi}$  
$mathsf{PSigma TUpsilonPhi XPsiOmega}$  
$mathsf{0123456789}$
 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{IKLambda MNXi OPi})
(quadmathsf{PSigma 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})

(Fraktur)

$mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$  
$mathfrak{abcdefghijklmnopqrstuvwxyz}$  
$mathfrak{0123456789}$
 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)

$leftDownarrowdfrac{1}{2}
ightDownarrow$

(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(-dfrac{m}{6})

无空格

$xy$

(quad xy)
宽度为(0)

小空格

$x\,y$

(quad x\,y)
宽度为(dfrac{m}{6})

中等空格

$x;y$

(quad x;y)
宽度为(dfrac{2m}{7})

大空格

$x y$

(quad x y)
宽度为(dfrac{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} 针对博客园的编辑器应把表达式用大括号框起来,否则只有首个字符变色,即{color{色调}{表达式}},不过在洛谷上可以不用加大括号。
背景颜色:{color{文字色调}colorbox{背景色调}{表达式(可以打中文)}} 目前看来在博客园的编辑器里无法使用背景色(至少我没有试出来)。

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}{GreenYellow}})
({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}})

(End)

历时快半个月了,终究还是断断续续完成了,中间一次大改是真的伤,不过自己开的坑总要填完啊。不过因为纯手打的关系,总会有些小错误,如果有还请在评论区留言,谢谢!

原文地址:https://www.cnblogs.com/Iowa-Battleship/p/9670741.html