Pitulung:Rumus

MediaWiki migunakaké sebagéan markah TeX, klebu sawetara ekstensi saka LaTeX lan AMSLaTeX kanggo nggambaraké formula utawa rumus matematis. MediaWiki bisa ngasilaké gambar PNG utawa markah HTML prasaja, gumantung marang preferensi naraguna lan tingkat kasulitan rumus. Ing mangsa ngarep, kanthi tuwuhing kamampuan panjelajah web, MediaWiki bakal mampu ngasilaké HTML canggih utawa malah MathML.

Sintaks lan prosès gawéné

Markah Math ana ing <math> ... </math> sing bisa diaksès liwat tombol ing toolbar suntingan.

Padha karo HTML, spasi lan larikan anyar tambahan jroning TeX bakal dilirwakna. Cithakan lan parameter ora bisa dipigunakaké jroning tag math. Pasangan kurung siku dilirwakna lan "#" bakal ngasilaké pesen kasalahan. Senadyan mangkono, tag math bisa dipigunakaké jroning kondhisi ParserFunctions kaya #if, lll.

Fungsi, simbol, lan karakter khusus

Aksèn/diakritik
\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}	$\acute{a}\stackrel{`}{a}\hat{a}\tilde{a}\breve{a}$
\check{a} \bar{a} \ddot{a} \dot{a}	$\check{a}\overline{a}\ddot{a}\dot{a}$
Fungsi standar
\sin a \cos b \tan c	$\sin a\cos b\tan c$
\sec d \csc e \cot f	$\sec d\csc e\cot f$
\arcsin h \arccos i \arctan j	$\arcsin h\arccos i\arctan j$
\sinh k \cosh l \tanh m \coth n	$\sinh k\cosh l\tanh m\coth n$
\operatorname{sh}o \operatorname{ch}p \operatorname{th}q	$\mathrm{sh}o\mathrm{ch}p\mathrm{th}q$
\operatorname{argsh}r \operatorname{argch}s \operatorname{argth}t	$\mathrm{argsh}r\mathrm{argch}s\mathrm{argth}t$
\lim u \limsup v \liminf w \min x \max y	$\lim u\mathrm{lim\; sup}v\mathrm{lim\; inf}w\min x\max y$
\inf z \sup a \exp b \ln c \lg d \log e \log_{10} f \ker g	$\inf z\sup a\exp b\ln c\lg d\log e{\log }_{10}f\ker g$
\deg h \gcd i \Pr j \det k \hom l \arg m \dim n	$\mathrm{deg}h\gcd i\mathrm{Pr}j\det k\mathrm{hom}l\arg m\dim n$
Aritmetika modular
s_k \equiv 0 \pmod{m} a \bmod b	$s_k\equiv 0(\mathrm{mod}m)amodb$
Turunan
\nabla \partial x dx \dot x \ddot y	$\mathrm{\nabla }\partial xdx\dot{x}\ddot{y}$
Himpunan
\forall \exists \empty \emptyset \varnothing	$\mathrm{\forall }\mathrm{\exists }\mathrm{\varnothing }\mathrm{\varnothing }\varnothing$
\in \ni \not \in \notin \subset \subseteq \supset \supseteq	$\in \ni \in ̸\notin \subset \subseteq \supset \supseteq$
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus	$\cap \bigcap \cup \bigcup ⨄\setminus \setminus$
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup	$⊏⊑⊐⊒\sqcap \bigsqcup ⨆$
Operator
+ \oplus \bigoplus \pm \mp -	$+\oplus ⨁\pm \mp -$
\times \otimes \bigotimes \cdot \circ \bullet \bigodot	$\times \otimes ⨂\cdot \circ \bullet ⨀$
\star * / \div \frac{1}{2}	$\star */÷\frac{1}{2}$
Logika
\land \wedge \bigwedge \bar{q} \to p	$\wedge \wedge \bigwedge \overline{q}\to p$
\lor \vee \bigvee \lnot \neg q \And	$\vee \vee \bigvee \mathrm{\neg }\mathrm{\neg }q\mathrm{\&}$
Akar
\sqrt{2} \sqrt[n]{x}	$\sqrt{2}\sqrt[n]{x}$
Relasi
\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}	$\sim \approx \simeq \cong \dot{=}\stackrel{\mathrm{d}\mathrm{e}\mathrm{f}}{=}$
\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto	$\le <\ll \gg \ge >\equiv \equiv ̸\ne \text{or}\ne \propto$
Geometri
\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ	$◊◻\mathrm{△}\mathrm{\angle }\perp \mid \nmid \Vert 45^{\circ }$
Panah
\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow	$\leftarrow \leftarrow \to \to \to ̸\leftrightarrow ⟵⟶$
\mapsto \longmapsto \hookrightarrow \hookleftarrow \nearrow \searrow \swarrow \nwarrow	$\mapsto ⟼\hookrightarrow \hookleftarrow \nearrow \searrow \swarrow \nwarrow$
\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft	$\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft$
\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow	$\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \iff ⟸$
\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft	$⟹⟺\Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft$
\leftrightharpoons \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright	$\leftrightharpoons \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright$
\curvearrowright \circlearrowright \Rsh \downdownarrows \multimap \leftrightsquigarrow \rightsquigarrow \nLeftarrow \nleftrightarrow \nRightarrow	$\curvearrowright \circlearrowright \Rsh \downdownarrows ⊸\leftrightsquigarrow ⇝\nLeftarrow \nleftrightarrow \nRightarrow$
\nLeftrightarrow \longleftrightarrow	$\nLeftrightarrow ⟷$
Istimewa
\eth \S \P \% \dagger \ddagger \ldots \cdots	$\mathrm{ð}\mathrm{\S }\P \mathrm{\%}†‡\dots \cdots$
\smile \frown \wr \triangleleft \triangleright \infty \bot \top	$⌣⌢\wr ◃▹\mathrm{\infty }\mathrm{\perp }\mathrm{\top }$
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar	$⊢\models ⊩\models \Vert \Vert ı\hslash$
\ell \mho \Finv \Re \Im \wp \complement \diamondsuit	$\ell \mho Ⅎ\mathrm{\Re }\mathrm{\Im }\mathrm{\wp }\complement \mathrm{♢}$
\heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp	$\mathrm{♡}\mathrm{♣}\mathrm{♠}⅁\mathrm{♭}\mathrm{♮}\mathrm{♯}$
Liya-liya
\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown	$△▽◊\mathrm{Ⓢ}\measuredangle \nexists 𝕜‵▴▾$
\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge	$◼⧫★\sphericalangle ╱╲\dotplus ⋒⋓⊼$
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes	$⊻⩞\boxminus ⊠⊡⊞\divideontimes ⋉⋊⋋$
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant	$⋌⋏⋎⊝⊛⊚\cdot ⊺\leqq ⩽$
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq	$⪕⪅\approxeq ⋖⋘\lessgtr ⋚⪋\doteqdot \risingdotseq$
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft	$\fallingdotseq \backsim \backsimeq ⫅⋐\preccurlyeq ⋞\precsim ⪷⊲$
\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot	$\Vvdash \bumpeq \Bumpeq \geqq ⩾⪖\gtrsim ⪆\eqsim ⋗$
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq	$⋙\gtrless ⋛⪌\eqcirc \circeq \triangleq \sim \approx ⫆$
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork	$⋑\succcurlyeq ⋟\succsim ⪸⊳\mid \parallel \between ⋔$
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq	$\propto ◂\therefore ∍▸\because ⪇\nleqq ⪇\lneqq$
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid	$\lneqq ⋦⪉\nprec ⋠⪵⋨⪹\nsim \nmid$
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr	$⊬⊮⋪⋬⊈⊈⊊⫋⫋\ngtr$
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq	$⪈\ngeqq ⪈\gneqq \gneqq ⋧⪊\nsucc ⋡⪶$
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq	$⋩⪺≆\nparallel \nparallel ⊭⊯⋫⋭⊉$
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq	$⊉⊋⫌⫌$
\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus	$ȷ\surd \ast \uplus \diamond △▽\ominus$
\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq	$\oslash \odot ◯⨿\prec \succ ⪯⪰$
\dashv \asymp \doteq \parallel	$⊣\asymp \doteq \parallel$

Subskrip, superskrip, limit, turunan, integral

Fungsi	Perintah	Hasil
		HTML	PNG
Superskip (pangkat)	a^2	$a^2$	$a^2$
Subskrip	a_2	$a_2$	$a_2$
Kelompok sub & super	a^{2+2}	$a^{2+2}$	$a^{2+2}$
	a_{i,j}	$a_{i,j}$	$a_{i,j}$
Kombinasi sub & super	x_2^3	$x_2^3$
Sub dan super pada sebuah simbol	\sideset{_1^2}{_3^4}\prod_a^b	$\underset{a}{\overset{b}{{}_1{}^2\prod _3^4}}$
	{}_1^2\!\Omega_3^4	${}_1^2{\mathrm{\Omega }}_3^4$
Numpuk simbol	\overset{\alpha}{\omega}	$\stackrel{\alpha }{\omega }$
	\underset{\alpha}{\omega}	$\underset{\alpha }{\omega }$
	\overset{\alpha}{\underset{\gamma}{\omega}}	$\stackrel{\alpha }{\underset{\gamma }{\omega }}$
	\stackrel{\alpha}{\omega}	$\stackrel{\alpha }{\omega }$
Turunan (PNG)	x^\prime, y^{\prime\prime}	$x^{\prime },y^{\prime \prime }$	$x^{\prime },y^{\prime \prime }$
Turunana (HTML)	x\prime, y\prime\prime	$x\prime ,y\prime \prime$	$x\prime ,y\prime \prime$
Turunan titik	\dot{x}, \ddot{x}	$\dot{x},\ddot{x}$
Vektor, garis bawah, garis atas	\hat a \ \bar b \ \vec c	$\hat{a}\overline{b}\overrightarrow{c}$
	\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}	$\overrightarrow{ab}\overleftarrow{cd}\widehat{def}$
	\overline{g h i} \ \underline{j k l}	$\overline{ghi}\underset{\_}{jkl}$
Panah	A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C	$A\stackrel{n+\mu -1}{\leftarrow }B\underset{T}{\overset{n\pm i-1}{\to }}C$
Kurawal dhuwur	\overbrace{ 1+2+\cdots+100 }^{5050}	$\stackrel{5050}{\overbrace{1+2+\cdots +100}}$
Kurawal ngisor	\underbrace{ a+b+\cdots+z }_{26}	$\underset{26}{\underbrace{a+b+\cdots +z}}$
Panjumlahan Sigma	\sum_{k=1}^N k^2	$\sum _{k=1}^N{k}^2$
Panjumlahan Sigma (model teks)	\textstyle \sum_{k=1}^N k^2	${\sum }_{k=1}^N{k}^2$
Perkalian Pi	\prod_{i=1}^N x_i	$\prod _{i=1}^N{x}_i$
Ping-pingan Pi (model teks)	\textstyle \prod_{i=1}^N x_i	${\prod }_{i=1}^N{x}_i$
Ping-pingan 1/Pi	\coprod_{i=1}^N x_i	$\coprod _{i=1}^N{x}_i$
Ping-pingan 1/Pi (model teks)	\textstyle \coprod_{i=1}^N x_i	${\coprod }_{i=1}^N{x}_i$
Limit	\lim_{n \to \infty}x_n	$\underset{n\to \mathrm{\infty }}{\lim }{x}_n$
Limit (model teks)	\textstyle \lim_{n \to \infty}x_n	$\underset{n\to \mathrm{\infty }}{\lim }{x}_n$
Integral	\int_{-N}^{N} e^x\, dx	$\underset{-N}{\overset{N}{\int }}{e}^{x}dx$
Integral (model teks)	\textstyle \int_{-N}^{N} e^x\, dx	${\int }_{-N}^N{e}^{x}dx$
Integral tingkat dua	\iint_{D}^{W} \, dx\,dy	$\underset{D}{\overset{W}{\iint }}dxdy$
Integral tingkat tiga	\iiint_{E}^{V} \, dx\,dy\,dz	$\underset{E}{\overset{V}{\iiint }}dxdydz$
Integral tingkat empat	\iiiint_{F}^{U} \, dx\,dy\,dz\,dt	$\underset{F}{\overset{U}{⨌}}dxdydzdt$
Integral keliling	\oint_{C} x^3\, dx + 4y^2\, dy	${\oint }_C{x}^{3}dx+4y^{2}dy$
Irisan	\bigcap_1^{n} p	$\bigcap _1^{n}p$
Gabungan	\bigcup_1^{k} p	$\bigcup _1^{k}p$

Deleng uga

• m:Help:Displaying a formula, kaca pitulung ing Meta.