Pitulung:Rumus

Saka Wikipédia Jawa, bauwarna mardika basa Jawa

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[besut | besut sumber]

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[besut | besut sumber]

Aksèn/diakritik

\acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}
\check{a} \bar{a} \ddot{a} \dot{a}

Fungsi standar

\sin a \cos b \tan c
\sec d \csc e \cot f
\arcsin h \arccos i \arctan j
\sinh k \cosh l \tanh m \coth n
\operatorname{sh}o \operatorname{ch}p \operatorname{th}q
\operatorname{argsh}r \operatorname{argch}s \operatorname{argth}t
\lim u \limsup v \liminf w \min x \max y
\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

Aritmetika modular

s_k \equiv 0 \pmod{m} a \bmod b

Turunan

\nabla \partial x dx \dot x \ddot y

Himpunan

\forall \exists \empty \emptyset \varnothing
\in \ni \not \in \notin \subset \subseteq \supset \supseteq
\cap \bigcap \cup \bigcup \biguplus \setminus \smallsetminus
\sqsubset \sqsubseteq \sqsupset \sqsupseteq \sqcap \sqcup \bigsqcup

Operator

+ \oplus \bigoplus \pm \mp -
\times \otimes \bigotimes \cdot \circ \bullet \bigodot
\star * / \div \frac{1}{2}

Logika

\land \wedge \bigwedge \bar{q} \to p
\lor \vee \bigvee \lnot \neg q \And

Akar

\sqrt{2} \sqrt[n]{x}

Relasi

\sim \approx \simeq \cong \dot= \overset{\underset{\mathrm{def}}{}}{=}
\le < \ll \gg \ge > \equiv \not\equiv \ne \mbox{or} \neq \propto

Geometri

\Diamond \Box \triangle \angle \perp \mid \nmid \| 45^\circ

Panah

\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow
\mapsto \longmapsto \hookrightarrow \hookleftarrow \nearrow \searrow \swarrow \nwarrow
\uparrow \downarrow \updownarrow \rightharpoonup \rightharpoondown \leftharpoonup \leftharpoondown \upharpoonleft
\upharpoonright \downharpoonleft \downharpoonright \rightleftharpoons \Leftarrow \Rightarrow \Leftrightarrow \Longleftarrow
\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft
\leftrightharpoons \curvearrowleft \circlearrowleft \Lsh \upuparrows \rightrightarrows \rightleftarrows \Rrightarrow \rightarrowtail \looparrowright
\curvearrowright \circlearrowright \Rsh \downdownarrows \multimap \leftrightsquigarrow \rightsquigarrow \nLeftarrow \nleftrightarrow \nRightarrow
\nLeftrightarrow \longleftrightarrow

Istimewa

\eth \S \P \% \dagger \ddagger \ldots \cdots
\smile \frown \wr \triangleleft \triangleright \infty \bot \top
\vdash \vDash \Vdash \models \lVert \rVert \imath \hbar
\ell \mho \Finv \Re \Im \wp \complement \diamondsuit
\heartsuit \clubsuit \spadesuit \Game \flat \natural \sharp

Liya-liya

\vartriangle \triangledown \lozenge \circledS \measuredangle \nexists \Bbbk \backprime \blacktriangle \blacktriangledown
\blacksquare \blacklozenge \bigstar \sphericalangle \diagup \diagdown \dotplus \Cap \Cup \barwedge
\veebar \doublebarwedge \boxminus \boxtimes \boxdot \boxplus \divideontimes \ltimes \rtimes \leftthreetimes
\rightthreetimes \curlywedge \curlyvee \circleddash \circledast \circledcirc \centerdot \intercal \leqq \leqslant
\eqslantless \lessapprox \approxeq \lessdot \lll \lessgtr \lesseqgtr \lesseqqgtr \doteqdot \risingdotseq
\fallingdotseq \backsim \backsimeq \subseteqq \Subset \preccurlyeq \curlyeqprec \precsim \precapprox \vartriangleleft
\Vvdash \bumpeq \Bumpeq \geqq \geqslant \eqslantgtr \gtrsim \gtrapprox \eqsim \gtrdot
\ggg \gtrless \gtreqless \gtreqqless \eqcirc \circeq \triangleq \thicksim \thickapprox \supseteqq
\Supset \succcurlyeq \curlyeqsucc \succsim \succapprox \vartriangleright \shortmid \shortparallel \between \pitchfork
\varpropto \blacktriangleleft \therefore \backepsilon \blacktriangleright \because \nleqslant \nleqq \lneq \lneqq
\lvertneqq \lnsim \lnapprox \nprec \npreceq \precneqq \precnsim \precnapprox \nsim \nshortmid
\nvdash \nVdash \ntriangleleft \ntrianglelefteq \nsubseteq \nsubseteqq \varsubsetneq \subsetneqq \varsubsetneqq \ngtr
\ngeqslant \ngeqq \gneq \gneqq \gvertneqq \gnsim \gnapprox \nsucc \nsucceq \succneqq
\succnsim \succnapprox \ncong \nshortparallel \nparallel \nvDash \nVDash \ntriangleright \ntrianglerighteq \nsupseteq
\nsupseteqq \varsupsetneq \supsetneqq \varsupsetneqq
\jmath \surd \ast \uplus \diamond \bigtriangleup \bigtriangledown \ominus
\oslash \odot \bigcirc \amalg \prec \succ \preceq \succeq
\dashv \asymp \doteq \parallel

Subskrip, superskrip, limit, turunan, integral[besut | besut sumber]

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

Pecahan, matriks, multibaris[besut | besut sumber]

Deleng uga[besut | besut sumber]