Wikipedia:TeX markup

Чөлөөт нэвтэрхий толь, Википедиагаас
Харайх: Удирдах, Хайлт

MediaWiki нь математик томъёог дүрслэхдээ LaTeX болон AMSLaTeX-н зарим нэг нэмэлтийг агуулсан TeX markup хэлийг ашигладаг. Энэ хэл нь PNG/Portable Network Graphic/ дүрс эсвэл HTML -г үүсгэж байдаг. Жишээ нь \sum\limits_{i=1}^{\infty}\frac{1}{i}, гэсэн томъёог оруулахын тулд язгуур дор n бүхий товч дээр дарсны дараа \sum\limits_{i=-\infty}^{\infty}\frac{1}{i} гэсэн LATEX бичлэгийг бичнэ. LATEX бичлэгийг хэрхэн бичихийг доорх агуулгын дагуу дэлгэрүүлэн үзнэ үү.

Синтакс[засварлах]

Maтеметикийн markup нь <math> ... </math> дотор байрлана. Энэ хэсгийг хэрхэн гаргахыг edit toolbar холбоосоор орж мэдэж болно.

HTML-тэй адилханаар, TeX-д зай болон мөрийг алгасна.

TeX код нь тогтсон дүрмээр бичигдддэг жишээ нь: MediaWiki загварууд, урьдчилан тодорхойлсон загварууд болон параметрүүд мат тагд хэрэглэгтэхгүй: pairs of double braces are ignored and "#" gives an error message. However, math tags work in the then and else part of #if, etc. See Загвар:Tim.

Зурагтай ажиллах[засварлах]

The PNG images are black on white (not transparent). These colors, as well as font sizes and types, are independent of browser settings or CSS. Font sizes and types will often deviate from what HTML renders. Vertical alignment with the surrounding text can also be a problem. The css selector of the images is img.tex.

It should be pointed out that most of these shortcomings have been addressed by Maynard Handley, but have not been released yet.

The alt attribute of the PNG images (the text that is displayed if your browser can't display images; Internet Explorer shows it up in the hover box) is the wikitext that produced them, excluding the <math> and </math>.

Apart from function and operator names, as is customary in mathematics for variables, letters are in italics; digits are not. For other text, (like variable labels) to avoid being rendered in italics like variables, use \mbox or \mathrm. For example, <math>\mbox{abc}</math> gives \mbox{abc}.

TeX vs HTML[засварлах]

Before introducing TeX markup for producing special characters, it should be noted that, as this comparison table shows, sometimes similar results can be achieved in HTML (see Help:Special characters).

TeX Syntax (forcing PNG) TeX Rendering HTML Syntax HTML Rendering
<math>\alpha\,</math> \alpha\, &alpha; α
<math>\sqrt{2}</math> \sqrt{2} &radic;2 √2
<math>\sqrt{1-e^2}</math> \sqrt{1-e^2} &radic;(1&minus;''e''&sup2;) √(1−e²)

The use of HTML instead of TeX is still under discussion. The arguments either way can be summarised as follows.

Pros of HTML[засварлах]

  1. In-line HTML formulae always align properly with the rest of the HTML text.
  2. The formula's background, font size and face match the rest of HTML contents and the appearance respects CSS and browser settings.
  3. Pages using HTML will load faster.

Pros of TeX[засварлах]

  1. TeX is semantically superior to HTML. In TeX, "<math>x</math>" means "mathematical variable x", whereas in HTML "x" could mean anything. Information has been irrevocably lost.
  2. TeX has been specifically designed for typesetting formulae, so input is easier and more natural, and output is more aesthetically pleasing.
  3. One consequence of point 1 is that TeX can be transformed into HTML, but not vice-versa. This means that on the server side we can always transform a formula, based on its complexity and location within the text, user preferences, type of browser, etc. Therefore, where possible, all the benefits of HTML can be retained, together with the benefits of TeX. It's true that the current situation is not ideal, but that's not a good reason to drop information/contents. It's more a reason to help improve the situation.
  4. Another consequence of point 1 is that TeX can be converted to MathML for browsers which support it, thus keeping its semantics and allowing it to be renderred vectorally.
  5. When writing in TeX, editors need not worry about whether this or that version of this or that browser supports this or that HTML entity. The burden of these decisions is put on the server. This doesn't hold for HTML formulae, which can easily end up being rendered wrongly or differently from the editor's intentions on a different browser.

Функц, тэмдэгт, тусгай тэмдэглээ[засварлах]

Accents/Diacritics

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

Стандарт функцууд

\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 \operatorname{sh}o \operatorname{ch}p \operatorname{th}q\,\!
\operatorname{argsh}r \operatorname{argch}s \operatorname{argth}t \operatorname{argsh}r \operatorname{argch}s \operatorname{argth}t\,\!
\lim u \limsup v \liminf w \min x \max y \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 \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 \deg h \gcd i \Pr j \det k \hom l \arg m \dim n\,\!

Жишлэг

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

Уламжлал

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

Олонлог

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

Операторууд

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

Логик

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

Язгуур

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

Харьцаа

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

Геометр тэмдэглэл

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

Сумнууд

\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow \leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow\,\!
\mapsto \longmapsto \hookrightarrow \hookleftarrow \nearrow \searrow \swarrow \nwarrow \mapsto \longmapsto \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 \Leftrightarrow \Longleftarrow\,\!
\Longrightarrow \Longleftrightarrow (or \iff) \Uparrow \Downarrow \Updownarrow \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail \looparrowleft \Longrightarrow \Longleftrightarrow \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 \multimap \leftrightsquigarrow \rightsquigarrow \nLeftarrow \nleftrightarrow \nRightarrow\,\!
\nLeftrightarrow \longleftrightarrow \nLeftrightarrow \longleftrightarrow\,\!

Тусгай тэмдэгт/Special

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

Unsorted (new stuff)

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

Доод, дээд индекс, интеграл[засварлах]

Онцлог Синтакс Хэрхэн харгадах вэ
HTML PNG
Дээд индекс a^2 a^2 a^2 \,\!
Доод индекс a_2 a_2 a_2 \,\!
Бүлгээр a^{2+2} a^{2+2} a^{2+2}\,\!
a_{i,j} a_{i,j} a_{i,j}\,\!
Дээд & доодыг хослуулвал x_2^3 x_2^3
Preceding and/or Additional sub & super \sideset{_1^2}{_3^4}\prod_a^b \sideset{_1^2}{_3^4}\prod_a^b
{}_1^2\!\Omega_3^4 {}_1^2\!\Omega_3^4
Stacking \overset{\alpha}{\omega} \overset{\alpha}{\omega}
\underset{\alpha}{\omega} \underset{\alpha}{\omega}
\overset{\alpha}{\underset{\gamma}{\omega}} \overset{\alpha}{\underset{\gamma}{\omega}}
\stackrel{\alpha}{\omega} \stackrel{\alpha}{\omega}
Derivative (forced PNG) x', y, f', f\!   x', y'', f', f''\!
Derivative (f in italics may overlap primes in HTML) x', y, f', f x', y'', f', f'' x', y'', f', f''\!
Derivative (wrong in HTML) x^\prime, y^{\prime\prime} x^\prime, y^{\prime\prime} x^\prime, y^{\prime\prime}\,\!
Derivative (wrong in PNG) x\prime, y\prime\prime x\prime, y\prime\prime x\prime, y\prime\prime\,\!
Derivative dots \dot{x}, \ddot{x} \dot{x}, \ddot{x}
Underlines, overlines, vectors \hat a \ \bar b \ \vec c \hat a \ \bar b \ \vec c
\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f} \overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}
\overline{g h i} \ \underline{j k l} \overline{g h i} \ \underline{j k l}
Arrows A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C  A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C
Overbraces \overbrace{ 1+2+\cdots+100 }^{5050} \overbrace{ 1+2+\cdots+100 }^{5050}
Underbraces \underbrace{ a+b+\cdots+z }_{26} \underbrace{ a+b+\cdots+z }_{26}
Sum \sum_{k=1}^N k^2 \sum_{k=1}^N k^2
Sum (force \textstyle) \textstyle \sum_{k=1}^N k^2 \textstyle \sum_{k=1}^N k^2
Product \prod_{i=1}^N x_i \prod_{i=1}^N x_i
Product (force \textstyle) \textstyle \prod_{i=1}^N x_i \textstyle \prod_{i=1}^N x_i
Coproduct \coprod_{i=1}^N x_i \coprod_{i=1}^N x_i
Coproduct (force \textstyle) \textstyle \coprod_{i=1}^N x_i \textstyle \coprod_{i=1}^N x_i
Limit \lim_{n \to \infty}x_n \lim_{n \to \infty}x_n
Limit (force \textstyle) \textstyle \lim_{n \to \infty}x_n \textstyle \lim_{n \to \infty}x_n
Integral \int_{-N}^{N} e^x\, dx \int_{-N}^{N} e^x\, dx
Integral (force \textstyle) \textstyle \int_{-N}^{N} e^x\, dx \textstyle \int_{-N}^{N} e^x\, dx
Double integral \iint_{D}^{W} \, dx\,dy \iint_{D}^{W} \, dx\,dy
Triple integral \iiint_{E}^{V} \, dx\,dy\,dz \iiint_{E}^{V} \, dx\,dy\,dz
Quadruple integral \iiiint_{F}^{U} \, dx\,dy\,dz\,dt \iiiint_{F}^{U} \, dx\,dy\,dz\,dt
Path integral \oint_{C} x^3\, dx + 4y^2\, dy \oint_{C} x^3\, dx + 4y^2\, dy
Intersections \bigcap_1^{n} p \bigcap_1^{n} p
Unions \bigcup_1^{k} p \bigcup_1^{k} p

Бутархай, матриц, олон мөр томъёо[засварлах]

Онцлог Синтакс Энэ хэрхэн харагдах вэ
Бутархай \frac{2}{4}=0.5 \frac{2}{4}=0.5
Жижиг бутархай \tfrac{2}{4} = 0.5 \tfrac{2}{4} = 0.5
Large (normal) Fractions \dfrac{2}{4} = 0.5 \dfrac{2}{4} = 0.5
Large (nestled) Fractions \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a \cfrac{2}{c + \cfrac{2}{d + \cfrac{2}{4}}} = a
Биномын коэффициент \binom{n}{k} \binom{n}{k}
Жижиг биномууд \tbinom{n}{k} \tbinom{n}{k}
Large (normal) Binomial coefficients \dbinom{n}{k} \dbinom{n}{k}
Матриц
\begin{matrix}
  x & y \\
  z & v 
\end{matrix}
\begin{matrix} x & y \\ z & v
\end{matrix}
\begin{vmatrix}
  x & y \\
  z & v 
\end{vmatrix}
\begin{vmatrix} x & y \\ z & v
\end{vmatrix}
\begin{Vmatrix}
  x & y \\
  z & v
\end{Vmatrix}
\begin{Vmatrix} x & y \\ z & v
\end{Vmatrix}
\begin{bmatrix}
  0      & \cdots & 0      \\
  \vdots & \ddots & \vdots \\ 
  0      & \cdots & 0
\end{bmatrix}
\begin{bmatrix} 0 & \cdots & 0 \\ \vdots
& \ddots & \vdots \\ 0 & \cdots &
0\end{bmatrix}
\begin{Bmatrix}
  x & y \\
  z & v
\end{Bmatrix}
\begin{Bmatrix} x & y \\ z & v
\end{Bmatrix}
\begin{pmatrix}
  x & y \\
  z & v 
\end{pmatrix}
\begin{pmatrix} x & y \\ z & v
\end{pmatrix}
\bigl( \begin{smallmatrix}
  a&b\\ c&d
\end{smallmatrix} \bigr)

\bigl( \begin{smallmatrix}
  a&b\\ c&d
\end{smallmatrix} \bigr)
Case distinctions
f(n) = 
\begin{cases} 
  n/2,  & \mbox{if }n\mbox{ is even} \\
  3n+1, & \mbox{if }n\mbox{ is odd} 
\end{cases}
f(n) = 
\begin{cases}
  n/2,  & \mbox{if }n\mbox{ is even} \\ 
  3n+1, & \mbox{if }n\mbox{ is odd} 
\end{cases}
Олон мөр тэгшитглэл
\begin{align}
 f(x) & = (a+b)^2 \\
      & = a^2+2ab+b^2 \\
\end{align}

\begin{align}
 f(x) & = (a+b)^2 \\
      & = a^2+2ab+b^2 \\
\end{align}
\begin{alignat}{2}
 f(x) & = (a-b)^2 \\
      & = a^2-2ab+b^2 \\
\end{alignat}

\begin{alignat}{2}
 f(x) & = (a-b)^2 \\
      & = a^2-2ab+b^2 \\
\end{alignat}
Олон мөр тэгшитгэл (must define number of colums used ({lcr}) (should not be used unless needed)
\begin{array}{lcl}
  z        & = & a \\
  f(x,y,z) & = & x + y + z  
\end{array}
\begin{array}{lcl}
  z        & = & a \\
  f(x,y,z) & = & x + y + z  
\end{array}
Олон мөр тэгшитгэл (more)
\begin{array}{lcr}
  z        & = & a \\
  f(x,y,z) & = & x + y + z     
\end{array}
\begin{array}{lcr}
  z        & = & a \\
  f(x,y,z) & = & x + y + z     
\end{array}
Урт хэмжээний илэрхийллийг зайлшгүй нугалах бол

<math>f(x) \,\!</math>
<math>= \sum_{n=0}^\infty a_n x^n </math>
<math>= a_0+a_1x+a_2x^2+\cdots</math>

f(x) \,\!= \sum_{n=0}^\infty a_n x^n = a_0 +a_1x+a_2x^2+\cdots

Simultaneous equations
\begin{cases}
    3x + 5y +  z \\
    7x - 2y + 4z \\
   -6x + 3y + 2z 
\end{cases}
\begin{cases} 3x + 5y + z \\ 7x - 2y + 4z \\ -6x + 3y + 2z \end{cases}

Цагаан толгой болон бичвэр[засварлах]

Greek alphabet
\Alpha \Beta \Gamma \Delta \Epsilon \Zeta \Alpha \Beta \Gamma \Delta \Epsilon \Zeta \,\!
\Eta \Theta \Iota \Kappa \Lambda \Mu \Eta \Theta \Iota \Kappa \Lambda \Mu \,\!
\Nu \Xi \Pi \Rho \Sigma \Tau \Nu \Xi \Pi \Rho \Sigma \Tau\,\!
\Upsilon \Phi \Chi \Psi \Omega \Upsilon \Phi \Chi \Psi \Omega \,\!
\alpha \beta \gamma \delta \epsilon \zeta \alpha \beta \gamma \delta \epsilon \zeta \,\!
\eta \theta \iota \kappa \lambda \mu \eta \theta \iota \kappa \lambda \mu \,\!
\nu \xi \pi \rho \sigma \tau \nu \xi \pi \rho \sigma \tau \,\!
\upsilon \phi \chi \psi \omega \upsilon \phi \chi \psi \omega \,\!
\varepsilon \digamma \vartheta \varkappa \varepsilon \digamma \vartheta \varkappa \,\!
\varpi \varrho \varsigma \varphi \varpi \varrho \varsigma \varphi\,\!
Blackboard Bold/Scripts
\mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G} \mathbb{A} \mathbb{B} \mathbb{C} \mathbb{D} \mathbb{E} \mathbb{F} \mathbb{G} \,\!
\mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M} \mathbb{H} \mathbb{I} \mathbb{J} \mathbb{K} \mathbb{L} \mathbb{M} \,\!
\mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T} \mathbb{N} \mathbb{O} \mathbb{P} \mathbb{Q} \mathbb{R} \mathbb{S} \mathbb{T} \,\!
\mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z} \mathbb{U} \mathbb{V} \mathbb{W} \mathbb{X} \mathbb{Y} \mathbb{Z}\,\!
boldface (vectors)
\mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G} \mathbf{A} \mathbf{B} \mathbf{C} \mathbf{D} \mathbf{E} \mathbf{F} \mathbf{G} \,\!
\mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M} \mathbf{H} \mathbf{I} \mathbf{J} \mathbf{K} \mathbf{L} \mathbf{M} \,\!
\mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T} \mathbf{N} \mathbf{O} \mathbf{P} \mathbf{Q} \mathbf{R} \mathbf{S} \mathbf{T} \,\!
\mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z} \mathbf{U} \mathbf{V} \mathbf{W} \mathbf{X} \mathbf{Y} \mathbf{Z} \,\!
\mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g} \mathbf{a} \mathbf{b} \mathbf{c} \mathbf{d} \mathbf{e} \mathbf{f} \mathbf{g} \,\!
\mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m} \mathbf{h} \mathbf{i} \mathbf{j} \mathbf{k} \mathbf{l} \mathbf{m} \,\!
\mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t} \mathbf{n} \mathbf{o} \mathbf{p} \mathbf{q} \mathbf{r} \mathbf{s} \mathbf{t} \,\!
\mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z} \mathbf{u} \mathbf{v} \mathbf{w} \mathbf{x} \mathbf{y} \mathbf{z} \,\!
\mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \mathbf{0} \mathbf{1} \mathbf{2} \mathbf{3} \mathbf{4} \,\!
\mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9} \mathbf{5} \mathbf{6} \mathbf{7} \mathbf{8} \mathbf{9}\,\!
Boldface (greek)
\boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} \boldsymbol{\Alpha} \boldsymbol{\Beta} \boldsymbol{\Gamma} \boldsymbol{\Delta} \boldsymbol{\Epsilon} \boldsymbol{\Zeta} \,\!
\boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu} \boldsymbol{\Eta} \boldsymbol{\Theta} \boldsymbol{\Iota} \boldsymbol{\Kappa} \boldsymbol{\Lambda} \boldsymbol{\Mu}\,\!
\boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau} \boldsymbol{\Nu} \boldsymbol{\Xi} \boldsymbol{\Pi} \boldsymbol{\Rho} \boldsymbol{\Sigma} \boldsymbol{\Tau}\,\!
\boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega} \boldsymbol{\Upsilon} \boldsymbol{\Phi} \boldsymbol{\Chi} \boldsymbol{\Psi} \boldsymbol{\Omega}\,\!
\boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta} \boldsymbol{\alpha} \boldsymbol{\beta} \boldsymbol{\gamma} \boldsymbol{\delta} \boldsymbol{\epsilon} \boldsymbol{\zeta}\,\!
\boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu} \boldsymbol{\eta} \boldsymbol{\theta} \boldsymbol{\iota} \boldsymbol{\kappa} \boldsymbol{\lambda} \boldsymbol{\mu}\,\!
\boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau} \boldsymbol{\nu} \boldsymbol{\xi} \boldsymbol{\pi} \boldsymbol{\rho} \boldsymbol{\sigma} \boldsymbol{\tau}\,\!
\boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega} \boldsymbol{\upsilon} \boldsymbol{\phi} \boldsymbol{\chi} \boldsymbol{\psi} \boldsymbol{\omega}\,\!
\boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \boldsymbol{\varepsilon} \boldsymbol{\digamma} \boldsymbol{\vartheta} \boldsymbol{\varkappa} \,\!
\boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi} \boldsymbol{\varpi} \boldsymbol{\varrho} \boldsymbol{\varsigma} \boldsymbol{\varphi}\,\!
Italics
\mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G} \mathit{A} \mathit{B} \mathit{C} \mathit{D} \mathit{E} \mathit{F} \mathit{G} \,\!
\mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M} \mathit{H} \mathit{I} \mathit{J} \mathit{K} \mathit{L} \mathit{M} \,\!
\mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T} \mathit{N} \mathit{O} \mathit{P} \mathit{Q} \mathit{R} \mathit{S} \mathit{T} \,\!
\mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z} \mathit{U} \mathit{V} \mathit{W} \mathit{X} \mathit{Y} \mathit{Z} \,\!
\mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g} \mathit{a} \mathit{b} \mathit{c} \mathit{d} \mathit{e} \mathit{f} \mathit{g} \,\!
\mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m} \mathit{h} \mathit{i} \mathit{j} \mathit{k} \mathit{l} \mathit{m} \,\!
\mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t} \mathit{n} \mathit{o} \mathit{p} \mathit{q} \mathit{r} \mathit{s} \mathit{t} \,\!
\mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z} \mathit{u} \mathit{v} \mathit{w} \mathit{x} \mathit{y} \mathit{z} \,\!
\mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4} \mathit{0} \mathit{1} \mathit{2} \mathit{3} \mathit{4} \,\!
\mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9} \mathit{5} \mathit{6} \mathit{7} \mathit{8} \mathit{9}\,\!
Roman typeface
\mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G} \mathrm{A} \mathrm{B} \mathrm{C} \mathrm{D} \mathrm{E} \mathrm{F} \mathrm{G} \,\!
\mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M} \mathrm{H} \mathrm{I} \mathrm{J} \mathrm{K} \mathrm{L} \mathrm{M} \,\!
\mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T} \mathrm{N} \mathrm{O} \mathrm{P} \mathrm{Q} \mathrm{R} \mathrm{S} \mathrm{T} \,\!
\mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z} \mathrm{U} \mathrm{V} \mathrm{W} \mathrm{X} \mathrm{Y} \mathrm{Z} \,\!
\mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g} \mathrm{a} \mathrm{b} \mathrm{c} \mathrm{d} \mathrm{e} \mathrm{f} \mathrm{g}\,\!
\mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m} \mathrm{h} \mathrm{i} \mathrm{j} \mathrm{k} \mathrm{l} \mathrm{m} \,\!
\mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t} \mathrm{n} \mathrm{o} \mathrm{p} \mathrm{q} \mathrm{r} \mathrm{s} \mathrm{t} \,\!
\mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z} \mathrm{u} \mathrm{v} \mathrm{w} \mathrm{x} \mathrm{y} \mathrm{z} \,\!
\mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4} \mathrm{0} \mathrm{1} \mathrm{2} \mathrm{3} \mathrm{4} \,\!
\mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9} \mathrm{5} \mathrm{6} \mathrm{7} \mathrm{8} \mathrm{9}\,\!
Fraktur typeface
\mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G} \mathfrak{A} \mathfrak{B} \mathfrak{C} \mathfrak{D} \mathfrak{E} \mathfrak{F} \mathfrak{G} \,\!
\mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M} \mathfrak{H} \mathfrak{I} \mathfrak{J} \mathfrak{K} \mathfrak{L} \mathfrak{M} \,\!
\mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T} \mathfrak{N} \mathfrak{O} \mathfrak{P} \mathfrak{Q} \mathfrak{R} \mathfrak{S} \mathfrak{T} \,\!
\mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z} \mathfrak{U} \mathfrak{V} \mathfrak{W} \mathfrak{X} \mathfrak{Y} \mathfrak{Z} \,\!
\mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g} \mathfrak{a} \mathfrak{b} \mathfrak{c} \mathfrak{d} \mathfrak{e} \mathfrak{f} \mathfrak{g} \,\!
\mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m} \mathfrak{h} \mathfrak{i} \mathfrak{j} \mathfrak{k} \mathfrak{l} \mathfrak{m} \,\!
\mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t} \mathfrak{n} \mathfrak{o} \mathfrak{p} \mathfrak{q} \mathfrak{r} \mathfrak{s} \mathfrak{t} \,\!
\mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z} \mathfrak{u} \mathfrak{v} \mathfrak{w} \mathfrak{x} \mathfrak{y} \mathfrak{z} \,\!
\mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4} \mathfrak{0} \mathfrak{1} \mathfrak{2} \mathfrak{3} \mathfrak{4} \,\!
\mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9} \mathfrak{5} \mathfrak{6} \mathfrak{7} \mathfrak{8} \mathfrak{9}\,\!
Calligraphy/Script
\mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G} \mathcal{A} \mathcal{B} \mathcal{C} \mathcal{D} \mathcal{E} \mathcal{F} \mathcal{G} \,\!
\mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M} \mathcal{H} \mathcal{I} \mathcal{J} \mathcal{K} \mathcal{L} \mathcal{M} \,\!
\mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T} \mathcal{N} \mathcal{O} \mathcal{P} \mathcal{Q} \mathcal{R} \mathcal{S} \mathcal{T} \,\!
\mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z} \mathcal{U} \mathcal{V} \mathcal{W} \mathcal{X} \mathcal{Y} \mathcal{Z}\,\!
Hebrew
\aleph \beth \gimel \daleth \aleph \beth \gimel \daleth\,\!
Feature Syntax How it looks rendered
non-italicised characters \mbox{abc} \mbox{abc} \mbox{abc} \,\!
mixed italics (bad) \mbox{if} n \mbox{is even} \mbox{if} n \mbox{is even} \mbox{if} n \mbox{is even} \,\!
mixed italics (good) \mbox{if }n\mbox{ is even} \mbox{if }n\mbox{ is even} \mbox{if }n\mbox{ is even} \,\!
mixed italics (more legible: ~ is a non-breaking space, while "\ " forces a space) \mbox{if}~n\ \mbox{is even} \mbox{if}~n\ \mbox{is even} \mbox{if}~n\ \mbox{is even} \,\!

Parenthesizing big expressions, brackets, bars[засварлах]

Feature Syntax How it looks rendered
Bad ( \frac{1}{2} ) ( \frac{1}{2} )
Good \left ( \frac{1}{2} \right ) \left ( \frac{1}{2} \right )

You can use various delimiters with \left and \right:

Feature Syntax How it looks rendered
Parentheses \left ( \frac{a}{b} \right ) \left ( \frac{a}{b} \right )
Brackets \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack
Braces \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace
Өнцөг хаалтууд \left \langle \frac{a}{b} \right \rangle \left \langle \frac{a}{b} \right \rangle
Bars and double bars \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \| \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|
Floor болон ceiling функцууд: \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil
Налуу шугам \left / \frac{a}{b} \right \backslash \left / \frac{a}{b} \right \backslash
Дээш доош сумнууд \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow

Delimiters can be mixed,
as long as \left and \right match

\left [ 0,1 \right )
\left \langle \psi \right |

\left [ 0,1 \right )
\left \langle \psi \right |

Use \left. and \right. if you don't
want a delimiter to appear:
\left . \frac{A}{B} \right \} \to X \left . \frac{A}{B} \right \} \to X
Size of the delimiters \big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]

\big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]

\big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle

\big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle

\big\| \Big\| \bigg\| \Bigg\| ... \Bigg| \bigg| \Big| \big| \big\| \Big\| \bigg\| \Bigg\| ... \Bigg| \bigg| \Big| \big|
\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor ... \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil

\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor ... \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil

\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow

\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow

\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow ... \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow

\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow ... \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow

\big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash

\big / \Big / \bigg / \Bigg / ... \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash

Зай авах[засварлах]

TeX нь зайг шууд оруулдаггүй, иймд түүнийг дараах аргаар удирдна.

Feature Syntax How it looks rendered
double quad space a \qquad b a \qquad b
quad space a \quad b a \quad b
text space a\ b a\ b
text space without PNG conversion a \mbox{ } b a \mbox{ } b
large space a\;b a\;b
medium space a\>b [not supported]
small space a\,b a\,b
no space ab ab\,
small negative space a\!b a\!b

Текстийг шигдрүүлэх[засварлах]

Due to the default css

img.tex { vertical-align: middle; }

an inline expression like \int_{-N}^{N} e^x\, dx = 2 \sinh N should look good.

If you need to align it otherwise, use <font style="vertical-align:-100%;"><math>...</math></font> and play with the vertical-align argument until you get it right; however, how it looks may depend on the browser and the browser settings.

Also note that if you rely on this workaround, if/when the rendering on the server gets fixed in future releases, as a result of this extra manual offset your formulae will suddenly be aligned incorrectly. So use it sparingly, if at all.

Forced PNG rendering[засварлах]

To force the formula to render as PNG, add \, (small space) at the end of the formula (where it is not rendered). This will force PNG if the user is in "HTML if simple" mode, but not for "HTML if possible" mode (math rendering settings in preferences).

You can also use \,\! (small space and negative space, which cancel out) anywhere inside the math tags. This does force PNG even in "HTML if possible" mode, unlike \,.

This could be useful to keep the rendering of formulae in a proof consistent, for example, or to fix formulae that render incorrectly in HTML (at one time, a^{2+2} rendered with an extra underscore), or to demonstrate how something is rendered when it would normally show up as HTML (as in the examples above).

For instance:

Syntax How it looks rendered
a^{c+2} a^{c+2}
a^{c+2} \, a^{c+2} \,
a^{\,\!c+2} a^{\,\!c+2}
a^{b^{c+2}} a^{b^{c+2}} (WRONG with option "HTML if possible or else PNG"!)
a^{b^{c+2}} \, a^{b^{c+2}} \, (WRONG with option "HTML if possible or else PNG"!)
a^{b^{c+2}}\approx 5 a^{b^{c+2}}\approx 5 (due to "\approx" correctly displayed, no code "\,\!" needed)
a^{b^{\,\!c+2}} a^{b^{\,\!c+2}}
\int_{-N}^{N} e^x\, dx \int_{-N}^{N} e^x\, dx


This has been tested with most of the formulae on this page, and seems to work perfectly.

You might want to include a comment in the HTML so people don't "correct" the formula by removing it:

<!-- The \,\! is to keep the formula rendered as PNG instead of HTML. Please don't remove it.-->

Өнгө[засварлах]

Equations can use color:

  • {\color{Blue}x^2}+{\color{Brown}2x}-{\color{OliveGreen}1}
    {\color{Blue}x^2}+{\color{Brown}2x}-{\color{OliveGreen}1}
  • x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}
    x_{1,2}=\frac{-b\pm\sqrt{\color{Red}b^2-4ac}}{2a}

See here for all named colours supported by LaTeX.

Note that color should not be used as the only way to identify something because color blind people may not be able to distinguish between the two colors. See .

Жишээ[засварлах]

Квадрат олон гишүүнт[засварлах]

ax^2 + bx + c = 0
<math>ax^2 + bx + c = 0</math>

Quadratic Polynomial (Force PNG Rendering)[засварлах]

ax^2 + bx + c = 0\,\!

<math>ax^2 + bx + c = 0\,\!</math>

Квадрат томъёо[засварлах]

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

<math>x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}</math>

Том хаалт бa бутархай[засварлах]

2 = \left( \frac{\left(3-x\right) \times 2}{3-x} \right)

<math>2 = \left(
 \frac{\left(3-x\right) \times 2}{3-x}
 \right)</math>
S_{new} = S_{old} + \frac{ \left( 5-T \right) ^2} {2}

<math>S_{new} = S_{old} +
 \frac{ \left( 5-T \right) ^2} {2}</math>

Интеграл[засварлах]

\int_a^x \int_a^s f(y)\,dy\,ds = \int_a^x f(y)(x-y)\,dy

<math>\int_a^x \int_a^s f(y)\,dy\,ds
 = \int_a^x f(y)(x-y)\,dy</math>

Нийлбэр[засварлах]

\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}{3^m\left(m\,3^n+n\,3^m\right)}
<math>\sum_{m=1}^\infty\sum_{n=1}^\infty\frac{m^2\,n}
 {3^m\left(m\,3^n+n\,3^m\right)}</math>

Дифференциал тэгшитгэл[засварлах]

u'' + p(x)u' + q(x)u=f(x),\quad x>a

<math>u'' + p(x)u' + q(x)u=f(x),\quad x>a</math>

Комплекс тоо[засварлах]

|\bar{z}| = |z|, |(\bar{z})^n| = |z|^n, \arg(z^n) = n \arg(z)

<math>|\bar{z}| = |z|,
 |(\bar{z})^n| = |z|^n,
 \arg(z^n) = n \arg(z)</math>

Хязгаар[засварлах]

\lim_{z\rightarrow z_0} f(z)=f(z_0)

<math>\lim_{z\rightarrow z_0} f(z)=f(z_0)</math>

Интеграл тэгшитгэл[засварлах]

\phi_n(\kappa)
 = \frac{1}{4\pi^2\kappa^2} \int_0^\infty \frac{\sin(\kappa R)}{\kappa R}  \frac{\partial}{\partial R}  \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR

<math>\phi_n(\kappa) =
 \frac{1}{4\pi^2\kappa^2} \int_0^\infty
 \frac{\sin(\kappa R)}{\kappa R}
 \frac{\partial}{\partial R}
 \left[R^2\frac{\partial D_n(R)}{\partial R}\right]\,dR</math>

Жишээ[засварлах]

\phi_n(\kappa) = 0.033C_n^2\kappa^{-11/3},\quad \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}

<math>\phi_n(\kappa) = 
 0.033C_n^2\kappa^{-11/3},\quad
 \frac{1}{L_0}\ll\kappa\ll\frac{1}{l_0}</math>

Үргэлжлүүлэх болон тохиолдол[засварлах]

f(x) = \begin{cases}1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\ 1 - x^2 & 0 < x \le 1\end{cases}

<math>
 f(x) =
 \begin{cases}
 1 & -1 \le x < 0 \\
 \frac{1}{2} & x = 0 \\
 1 - x^2 & 0 < x\le 1
 \end{cases}
 </math>

Өмнөх доод индекс[засварлах]

{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z) = \sum_{n=0}^\infty \frac{(a_1)_n\cdot\cdot\cdot(a_p)_n}{(c_1)_n\cdot\cdot\cdot(c_q)_n}\frac{z^n}{n!}

 <math>{}_pF_q(a_1,\dots,a_p;c_1,\dots,c_q;z)
 = \sum_{n=0}^\infty
 \frac{(a_1)_n\cdot\cdot\cdot(a_p)_n}{(c_1)_n\cdot\cdot\cdot(c_q)_n}
 \frac{z^n}{n!}</math>

Алдааны мэдээлэл[засварлах]

Discussions, bug reports and feature requests should go to the Wikitech-l mailing list. These can also be filed on Mediazilla under MediaWiki extensions.

Мөн үүнийг үз[засварлах]

Гадаад холбоосууд[засварлах]

Загвар:H:f