Help:Using LaTeX

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MediaWiki uses AMS-LaTeX tags for math formulas. He AMS-LaTeX markup are derived from LaTeX, which in turn comes from TeX. AMS-LaTeX generates PNG images by default. there is also the option to use MathJax, which combines HTML and CSS to view the equations. MathJax can be selected from the menu preferences for User (Appearance).

The difference between TeX and LaTeX and the version implemented by MediaWiki is that, in the first two cases, the result final is a single document that includes the formulas and text in its totality, while in the latter the markup is filtered by the Texvc tools or, optionally, by MathJax, which in turn they redirect the output to TeX for final compilation.

Visually, MathJax provides better results. The quality of the typography is much higher and certain problems are eliminated, such as the different size of the formulas with respect to the surrounding text or lack of alignment. On the other hand, the javascript tool used by MathJax to interpret the mathematical expressions takes more time than Texvc.

General

Mathematical expressions written in TeX must be between the start and end tags:

≤2

≤2

To do this you can select the TeX code and click the button that appears in the button bar that is above the edit box (maybe in your browser not appear), or write the tags directly.

The alt attribute of TeX images (when hovering over the image the text displayed in the tooltip) is the wiki text from which it was generated, excluding start and end tags.

PNG images are generated in black on a non-transparent white background. These colors, as well as the font sizes and types, are independent of the browser settings and the CSS used. Font sizes and types will often differ from those used by the browser to display the HTML. The CSS selector for images is img.tex.

Expressions written in TeX can be part of a line of text, inserted in a table or occupy a space between paragraphs as desired, but it must be taken into account that the beginning and closing tags are not valid within the code Help:Editing for editing on Wikipedia and that TeX start and end tags cannot be nested.

If there is no TeX code between the start and end tags, or it is incorrect, an error message will be displayed:

≤2

Failed to render (syntax error): {displaystyle á }

Bug reports and requests should be sent to the Wikitech-l mailing list. Or they can also be directed to Mediazilla in MediaWiki extensions.

Force generation of PNG images

Expressions written in TeX are normally rendered in HTML format, if the result is a single line, without special symbols:

 And... exp u ln v lg v

y=exp u+ln v+lg v

If within the expression there is a single sign that TeX has to render in PNG format, the entire expression will be rendered in PNG format.

 And... exp u ln v lg v ,

y=exp u+ln v+lg v,

To force the formula to display as a PNG image, simply add , (small space) to the end of the formula (where it won't be rendered).

You can also use ,! (little space and negative space, which cancel) anywhere within TeX start and end tags. This does force the generation of the PNG.

This can be used to fix formulas that display incorrectly in HTML, causing a trailing underline, or to force an image to PNG when it would normally display in HTML.

For example:

 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}}}}

(!Evil with the option “HTML if possible, if not PNG”!)

 a^{b^{c+2! ,

a^{{b^{{c+2}}}},

(!Evil with the option “HTML if possible, if not PNG”!)

 a^{b^{c+2! ,!

a^{{b^{{c+2}}}},!

(!Good. in all cases!)

 a^{b^{c+2!approx 5

a^{{b^{{c+2}}}}approx 5

(due to approx, not required)

 a^{b^{,!c+2!

a^{{b^{{,!c+2}}}}

 int_-N***N! e^x, dx

int _{{-N}}^{{N}}e^{x},dx

 int_-N***N! e^x, dx ,

int _{{-N}}^{{N}}e^{x},dx,

 int_-N***N! e^x, dx ,!

int _{{-N}}^{{N}}e^{x},dx,!

These examples have been tested with most of the formulas on this page, and they seem to work perfectly.

Style

Between the start and end tags of TeX you can put as many blank spaces and line breaks as you want without affecting the TeX code, thus being able to give it a neater and clearer appearance when edited (for example, a line break after each term or each row of a matrix).

We can consider the following tips to be a good style for editing mathematical formulas in TeX:

If the expression is short, do it in one line.
If done in several lines, in each line leave a coherent code fragment that forms a unit.
Perform a bleeding, with blank spaces on the left, so that the same level of bleeding corresponds to the same level of nesting in the expression.
In the tables and matrices, put the blank spaces necessary for the data to be sorted in rows and columns.

These tips are not mandatory but will make editing the expression easier and future proofreading and give it clarity.

Alignment with normal text flow

Due to the default CSS styling: image.text { vertical-align: middle; }

An inline expression like:

≤2
 leftarrow int_a***b! e^x , dx rightarrow≤2

It would be well aligned in the lining- ${displaystyle leftarrow int _{a}^{b}e^{x},dxrightarrow }$ - in which it is inserted.

If you need to align it another way, use <span style="vertical-align:-100%;"><math>...</math> </span> and play around with the vertical-align parameter until you get the desired result. However, the end result depends on the browser settings.

With vertical-align:10% it would look like this:

≥"vertical-align:10"%;"≤2
 leftarrow int_a***b! e^x , dx rightarrow≤2
Δ/span

Textline - ${displaystyle leftarrow int _{a}^{b}e^{x},dxrightarrow }$ - This is the text line.

With vertical-align:5% it would look like this:

cedes style="vertical-align:5%;"≤2
 leftarrow int_a***b! e^x , dx rightarrow≤2
Δ/span

Textline - ${displaystyle leftarrow int _{a}^{b}e^{x},dxrightarrow }$ - This is the text line.

With vertical-align:0% it would look like this:

≥"vertical-align:0%;"≤2
 leftarrow int_a***b! e^x , dx rightarrow≤2
Δ/span

Textline - ${displaystyle leftarrow int _{a}^{b}e^{x},dxrightarrow }$ - This is the text line.

With vertical-align:-5% it would look like this:

"vertical-align":-5%;"≤2
 leftarrow int_a***b! e^x , dx rightarrow≤2
Δ/span

Textline - ${displaystyle leftarrow int _{a}^{b}e^{x},dxrightarrow }$ - This is the text line.

The value of vertical-align can take positive or negative values, even greater than 100.

Special characteristics

The characters that can be used directly are the lowercase letters:

 abcdefghijklmnopqrstuvwxyz

abcdefghijklmnopqrstuvwxyz

capital letters:

 ABCDEFGHIJKLMNOPQRSTUVWXYZ

ABCDEFGHIJKLMNOPQRSTUVWXYZ

punctuation marks:

;:'

,.;:'

and the signs:

!$%

{displaystyle !?$%}

the numbers:

0123456789

0123456789

and the mathematical signs:

 []() config = +-*/

<math alttext="{displaystyle []()=+-*/|}" xmlns="http://www.w3.org/1998/Math/MathML">[chuckles]]()▪+− − ↓ ↓ /日本語{displaystyle []() confidants=+-*<img alt="[]()=+-*/|" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ae024f4f225b1140ce100ea4329c1f8fb841c704" style="vertical-align: -0.838ex; width:17.438ex; height:2.843ex;"/>

If a special character is included within the TeX expression, a PNG image will be produced:

 abcdefghijklmnopqrstuvwxyz ,

abcdefghijklmnopqrstuvwxyz,

 ABCDEFGHIJKLMNOPQRSTUVWXYZ ,

ABCDEFGHIJKLMNOPQRSTUVWXYZ,

;:' ,

,.;:',

 !$% ,

{displaystyle !?$%,}

 0123456789 ,

0123456789,

 []() config = +-*/ ,

<math alttext="{displaystyle []()=+-*/|,}" xmlns="http://www.w3.org/1998/Math/MathML">[chuckles]]()▪+− − ↓ ↓ /日本語{displaystyle []() config=+-*/associated,}<img alt="[]()=+-*/|," aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/966f1908c317286dc6a1fe9865534154bab1309f" style="vertical-align: -0.838ex; width:17.825ex; height:2.843ex;"/>

The letters of the Spanish alphabet: ñ, Ñ, á, é, í, ó, ú, ü, Á, É, Í, Ó, Ú, Ü, can always be obtained as a PNG image, like this:

 tilde{n! tilde{N! acute{a! acute{e! acute{imath! acute{or! acute{u! ddot{u! acute{A! acute{E! acute{I! acute{O! acute{U! ddot{U!

{tilde {n}}{tilde {N}}quad {acute {a}}{acute {e}}{acute {imath }}{acute {o}}{acute {u}}{ddot {u}}quad {acute {A}}{acute {E}}{acute {I}}{acute {O}}{acute {U}}{ddot {U}}

the characters ºª~{}#&, cannot be included in TeX either, they have to be done like this:

 {cHFFFF}{cH00FF}or
 {cHFFFF}{cH00FF}a
 lnot sim setminus ♪ ♪ # And

{}^{o}{}^{a}lnot sim setminus {}#And

The signs: , {, } and & not only cannot be represented directly, but have a meaning within TeX,

: points to a reserved word, a reserved word is an instruction that TeX processed giving rise to a PNG image, according to the instruction in question, in TeX all the reserved words begin with .

{: marks the beginning of a section of values.

!: marks the end of a section of values.

": indicates a column jump in a table or matrix.

_: generates a sub-index after a section of values.

^: generates a superscript after a section of values.

The signs: Ç, ç, ¡, ¿, _, ^, ", @ and € cannot occur in a TeX expression.

Accents and diacritical marks

They are used according to the convention palabrareservada{vocal}according to the examples of the table. Also these accents can be used with consonants, as in the case of: ${acute {s}},;{check {s}}$ .

a acute{a! grave{a! check{a!hat{a! widehat{a! tilde{a! breve{a!bar{a! vec{a! ddot{a! dot{a!

{displaystyle aquad {acute {a}}quad {grave {a}}quad {check {a}}quad {hat {a}}quad {widehat {a}}quad {tilde {a}}quad {breve {a}}quad {bar {a}}quad {vec {a}}quad {ddot {a}}quad {dot {a}}}

Underline, Overline

 overrightarrow{abcdefg! overleftarrow{abcdefg! overline{abcdefg! underline{abcdefg! overbrace{abcdefg! underbrace{abcdefg! widehat{abcdefg! widetilde{abcdefg!

{displaystyle {overrightarrow {abcdefg}};{overleftarrow {abcdefg}};{overline {abcdefg}};{underline {abcdefg}};overbrace {abcdefg} ;underbrace {abcdefg} ;{widehat {abcdefg}};{widetilde {abcdefg}}}

In all cases, for the expression to appear with larger characters, it must be closed with ,.

Strike Out or Cancel

The expression can be crossed out or canceled as follows:

 {Expresiacute{or!n! cancel {Expresiacute{or!n! bcancel {Expresiacute{or!n! xcancel {Expresiacute{or!n! cancelto {Correcciacute{or!n! {Expresiacute{or!n!

{displaystyle {Expresi{acute {o}}n}quad {cancel {Expresi{acute {o}}n}}quad {bcancel {Expresi{acute {o}}n}}quad {xcancel {Expresi{acute {o}}n}}quad {cancelto {Correcci{acute {o}}n}{Expresi{acute {o}}n}}}

 {color{Red!cancel ♪color{black!Expresiacute{or!n! {color{Red!bcancel ♪color{black!Expresiacute{or!n! {color{Red!xcancel ♪color{black!Expresiacute{or!n! {color{Red!cancelto ♪color{blue!Correcciacute{or!n! ♪color{black!Expresiacute{or!n!

{displaystyle {color {Red}{cancel {color {black}Expresi{acute {o}}n}}}quad {color {Red}{bcancel {color {black}Expresi{acute {o}}n}}}quad {color {Red}{xcancel {color {black}Expresi{acute {o}}n}}}quad {color {Red}{cancelto {color {blue}Correcci{acute {o}}n}{color {black}Expresi{acute {o}}n}}}}

Subscript and Superscript

 a_1
a^2
a_1^2
a_1+2***2-1! {cHFFFF}1^2 A_3^4
 ♪b+1***b-2!A_3+b***b-4! sideset{cHFFFFFF}1^2***3^4!sum_a^b

a_{1}quad a^{2}quad a_{1}^{2}quad a_{{1+2}}^{{2-1}}quad {}_{1}^{2}A_{3}^{4}quad {}_{{b+1}}^{{b-2}}A_{{3+b}}^{{b-4}}quad sideset {_{1}^{2}}{_{3}^{4}}sum _{a}^{b}

Number of lines

You can put one or two lines of text, signs or expressions:

 Level ; of ; l acute{imath! baby quad {first ; l acute{imath! baby atop Second ; l acute{imath! baby! quad stackrel{Up! { l acute{imath! baby ! quad overset{Up! { l acute{imath! baby ! quad underset{Down! { l acute{imath! baby !

Nivel;de;l{acute {imath }}neaquad {primera;l{acute {imath }}nea atop segunda;l{acute {imath }}nea}quad {stackrel {arriba}{l{acute {imath }}nea}}quad {overset {arriba}{l{acute {imath }}nea}}quad {underset {abajo}{l{acute {imath }}nea}}

Spaced

Note that TeX adjusts most of the spacing automatically, but sometimes manual control is needed.

Opple space

 a qquad b

aqquad b

Quadruple space

 a quad b

aquad b

Text space

 a  b

a b

Text space without conversion PNG

 a mbox{ ! b

a{mbox{ }}b

Large space

 a ; b

a;b

Medium space

 a  b

a b

Small space

 a , b

a,b

No space

ab,

Negative space

 a ! b

a!b

Functions

Standard functions

 deg x sgn x operatorname{abc! , z

deg x+operatorname{sgn} x+operatorname {abc},z

 exp u ln v lg v log w log_n w

exp u+ln v+lg v+log w+log _{n}w,

 ker x deg x gcd x Pr x

ker x+deg x+gcd x+Pr x,

 det x hom x arg x dim x

det x+hom x+arg x+dim x,

Fractions

 {2 over 4!; quad x =
a_0 {1 over a_1 + {1 over a_2 {1 over a_3 + {1 over ddots!

{2 over 4};quad x=a_{0}+{1 over a_{1}+{1 over a_{2}+{1 over a_{3}+{1 over ddots }}}}

Normal fruits

 frac{2♫4!; quad x = a_0 frac{1♫a_1 + frac{1♫a_2 frac{1♫a_3+ frac{1♫ddots!

{frac {2}{4}};quad x=a_{0}+{frac {1}{a_{1}+{frac {1}{a_{2}+{frac {1}{a_{3}+{frac {1}{ddots }}}}}}}},!

Short fruits

 tfrac{2♫4!; quad x = a_0 tfrac{1♫a_1 + tfrac{1♫a_2 tfrac{1♫a_3+ tfrac{1♫ddots!

{tfrac {2}{4}};quad x=a_{0}+{tfrac {1}{a_{1}+{tfrac {1}{a_{2}+{tfrac {1}{a_{3}+{tfrac {1}{ddots }}}}}}}},!

Average fractions

 dfrac{2♫4!; quad x = a_0 dfrac{1♫a_1 + dfrac{1♫a_2 dfrac{1♫a_3+ dfrac{1♫ddots!

{dfrac {2}{4}};quad x=a_{0}+{dfrac {1}{a_{1}+{dfrac {1}{a_{2}+{dfrac {1}{a_{3}+{dfrac {1}{ddots }}}}}}}},!

Long fruits

 cfrac{2♫4!; quad x = a_0 cfrac{1♫a_1 + cfrac{1♫a_2 cfrac{1♫a_3+ cfrac{1♫ddots!

{cfrac {2}{4}};quad x=a_{0}+{cfrac {1}{a_{1}+{cfrac {1}{a_{2}+{cfrac {1}{a_{3}+{cfrac {1}{ddots }}}}}}}},!

Binomial Coefficients

 {n choose k! quad binom{n♫k! quad dbinom{n♫k! quad tbinom{n♫k! quad

{n choose k}quad {binom {n}{k}}quad {dbinom {n}{k}}quad {tbinom {n}{k}}quad

Roots

 sqrt{2!approx 1.4; a= sqrt{b^2 + c^2!; x + 2y =b^n longrightarrow b=sqrt[n] {x + 2y!

{sqrt {2}}approx 1.4;quad a={sqrt {b^{2}+c^{2}}};quad x+2y=b^{n}longrightarrow b={sqrt[ {n}]{x+2y}},!

Trigonometric functions

 text{Seno!: y = sin x

{displaystyle {text{Seno}}:y=sin x}

 text{Cosine!: y = cos x

{displaystyle {text{Coseno}}:y=cos x}

 text{Tangente!: y = tan x

{displaystyle {text{Tangente}}:y=tan x}

 text{Cosic!: y = csc x

{displaystyle {text{Cosecante}}:y=csc x}

 text{Secante!: y = sec x

{displaystyle {text{Secante}}:y=sec x}

 text{Cotangent!: y = cot x

{displaystyle {text{Cotangente}}:y=cot x}

Inverse Trigonometric Functions

 text{Arcoseno!: y = arcsin x

{displaystyle {text{Arcoseno}}:y=arcsin x}

 text{Arcosene!: y = arccos x

{displaystyle {text{Arcocoseno}}:y=arccos x}

 text{Arcotangente!: y = arctan x

{displaystyle {text{Arcotangente}}:y=arctan x}

 text{Archcosectant!: y = arccsc x

{displaystyle {text{Arcocosecante}}:y=operatorname {arccsc} x}

 text{Arcosectant!: y = arcsec x

{displaystyle {text{Arcosecante}}:y=operatorname {arcsec} x}

 text{Arcotangente!: y = arccot x

{displaystyle {text{Arcocotangente}}:y=operatorname {arccot} x}

Hyperbolic functions

 text{hyperbacute{or!.!: y = sinh x

{displaystyle {text{Seno hiperbólico}}:y=sinh x}

 text{Cosine hyperbacute{or!.!: y = cosh x

{displaystyle {text{Coseno hiperbólico}}:y=cosh x}

 text{Tangente hyperbacute{or!lica!: y = tanh x

{displaystyle {text{Tangente hiperbólica}}:y=tanh x}

 text{Cotangent hyperbacute{or!lica!: y = coth x

{displaystyle {text{Cotangente hiperbólica}}:y=coth x}

Limits

 lim f(x) = a
 limsup f(x) = a
 liminf f(x) = a
 overline{lim! f(x) = a
 underline{lim! f(x) = a

{displaystyle lim f(x)=a;,quad limsup f(x)=a;,quad liminf f(x)=a;,quad {overline {lim }}f(x)=a;,quad {underline {lim }}f(x)=a}

 lim_x  a!f(x)= b
 lim_x  a^+!f(x)= b
 lim_x  a^-!f(x)= b
 underset {x  a^+! {L acute{imath!m! ; f(x) = b

{displaystyle lim _{xto a}f(x)=b;,quad lim _{xto a^{+}}f(x)=b;,quad lim _{xto a^{-}}f(x)=b;,quad {underset {xto a^{+}}{L{acute {imath }}m}};f(x)=b}

 min q max R inf s sup t

min q+max r+inf s+sup t,

Modular Arithmetic

 s_k equiv 0 pmod{m!

s_{k}equiv 0{pmod {m}},

 s_k equiv 0 quad left(operatorname{m acute{or! d ,! m right)

s_{k}equiv 0quad left(operatorname {m{acute {o}}d,}mright)

 a bmod b

a{bmod b},

 aoperatorname{, m acute{or! d ,!b

aoperatorname {,m{acute {o}}d,}b

Recursive or range-defined functions

 f(n) =
 begin{cases! 1 " mbox{Yeah. ! ♪ ♪f(n-1) cdot n " mbox{Yeah. ! n  0
 end{cases!

0end{cases}}}" xmlns="http://www.w3.org/1998/Math/MathML">f(n)={1Yeah.n=0f(n− − 1)⋅ ⋅ nYeah.n▪0{displaystyle f(n)={begin{cases}1 stranger{mbox{si }n=0f(n-1)cdot n stranger{mbox{si }}n offset }}}}}}}0end{cases}}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1751ac85d43655b896829df11395edd41973e601" style="vertical-align: -2.505ex; width:31.757ex; height:6.176ex;"/>

 sgn (x) =
 begin{cases! 1 " mbox{Yeah. ! x  0 ♪0 " mbox{Yeah. ! x = 0 ♪ -1 " mbox{Yeah. ! x; 0
 end{cases!

0\0&{mbox{si }}x=0\-1&{mbox{si }}xsgn (x)={1Yeah.x▪00Yeah.x=0− − 1Yeah.x.0{displaystyle operatorname {sgn}(x)={begin{cases}1 fake{mbox{si }x dictionary0\0 fake{mbox{si }}}x=0-1 fake{mbox{si }}{cH00FF}}}}0\0&{mbox{si }}x=0\-1&{mbox{si }}x

 sgn (x) =
 left ♪ begin{array♫rcl!1 " Yeah. " x  0 ♪0 " Yeah. " x = 0 ♪ -1 " Yeah. " x; 0
 end{array! right.

0\0&si&x=0\-1&si&xsgn (x)={1six▪00six=0− − 1six.0{displaystyle operatorname {sgn}(x)=left{{{begin{array}{r}}{r}1 hypossi fakex pendants0 fakessi nightmarex=0-1 hyposysyx{end{array}}{right. !0\0&si&x=0\-1&si&x

 f_I =
 left ♪ begin{array♫lccl!Yeah. " i = 0 " longrightarrow " 0 ♪Yeah. " i = 1 " longrightarrow " 1 ♪ Yeah. " i ▪ 1 " longrightarrow " f_(i-2)! + f_(i-1)! end{array! right.

1&longrightarrow &f_{(i-2)}+f_{(i-1)}end{array}}right.}" xmlns="http://www.w3.org/1998/Math/MathML">fi={sii=0Δ Δ 0sii=1Δ Δ 1sii▪1Δ Δ f(i− − 2)+f(i− − 1){displaystyle f_{i}=left{begin{array}{lccl}si exposei=0 fakelongrightarrow &0si exposei=1 fakelongrightarrow &1si fake i fake1longrightarrow &f_{(i-2)}+f_{(i-1)}end{array}right. !1&longrightarrow &f_{{(i-2)}}+f_{{(i-1)}}end{array}}right." aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0736b4dc8c98dda401b38a9c37a9a6139525f454" style="vertical-align: -4.023ex; margin-bottom: -0.315ex; width:39.062ex; height:9.843ex;"/>

Derivatives

 nabla partial x
dx
 dot x
 ddot and
dy/dx
 frac{dy♫dx! frac{partial^2 z♫partial x,partial and!

{displaystyle nabla ;,quad partial x;,quad dx;,quad {dot {x}};,quad {ddot {y}};,quad dy/dx;,quad {frac {dy}{dx}};,quad {frac {partial ^{2}z}{partial x,partial y}}}

Derivatives with an apostrophe

 x', y''

x',y'',!

Derivatives with an apostrophe

 x^and^{prim!

x^{prime },y^{{prime prime }},!

Integrals

 I = int_a***b! f(x) , dx
 quad longrightarrow quadI = F(x)
 Big ]_a***b! quad longrightarrow quadI = F(b) - F(a)

I=int _{{a}}^{{b}}f(x),dxquad longrightarrow quad I=F(x){Big ]}_{{a}}^{{b}}quad longrightarrow quad I=F(b)-F(a)

 I = int_2***3! frac{1♫x^2! , dx
 quad longrightarrow quadI =
 left.
 frac{-2♫x^3! ; right ]_2***3! quad longrightarrow quadI = frac{-2♫2^3! - frac{-2♫3^3! quad longrightarrow quadI = frac{-19♫108!

I=int _{{2}}^{{3}}{frac {1}{x^{2}}},dxquad longrightarrow quad I=left.{frac {-2}{x^{3}}};right]_{{2}}^{{3}}quad longrightarrow quad I={frac {-2}{2^{3}}}-{frac {-2}{3^{3}}}quad longrightarrow quad I={frac {-19}{108}}

 intlimits_A***B! f(x) , dx

int limits _{{A}}^{{B}}f(x),dx

 int_A***B! f(x) , dx

int _{{A}}^{{B}}f(x),dx

 iintlimits_A***B! f(x,y) , dx , dy

iint limits _{{A}}^{{B}}f(x,y),dx,dy

 iint_A***B! f(x,y) , dx , dy

iint _{{A}}^{{B}}f(x,y),dx,dy

 iiintlimits_A***B! f(x,y,z) , dx , dy , dz

iiint limits _{{A}}^{{B}}f(x,y,z),dx,dy,dz

 iiint_A***B! f(x,y,z) , dx , dy , dz

iiint _{{A}}^{{B}}f(x,y,z),dx,dy,dz

 iiiintlimits_A***B! f(x,y,z,t) , dx , dy , dz , dt

iiiint limits _{{A}}^{{B}}f(x,y,z,t),dx,dy,dz,dt

 iiiint_A***B! f(x,y,z,t) , dx , dy , dz , dt

iiiint _{{A}}^{{B}}f(x,y,z,t),dx,dy,dz,dt

 ointlimits_A! f(e) , of

oint limits _{{A}}f(e),de

 oint_A! f(e) , of

oint _{{A}}f(e),de

Sets

 ♪ empty emptyset varnothing

{displaystyle emptyset ;emptyset ;emptyset ;varnothing }

 a in mbox{A! qquad mbox{A! ni a qquad a notin mbox{A! qquad a notin mbox{A!

ain {mbox{A}}qquad {mbox{A}}ni aqquad anot in {mbox{A}}qquad anotin {mbox{A}},!

 mbox{A! subset mbox{B! qquad mbox{C! subseteq mbox{B! qquad mbox{C! supset mbox{R! qquad mbox{S! supseteq mbox{P!

{mbox{A}}subset {mbox{B}}qquad {mbox{C}}subseteq {mbox{B}}qquad {mbox{C}}supset {mbox{R}}qquad {mbox{S}}supseteq {mbox{P}}

 mbox{A! = mbox{B! cap mbox{C! qquad mbox{D! = mbox{K! ♪ mbox{N! ,!

{mbox{A}}={mbox{B}}cap {mbox{C}}qquad {mbox{D}}={mbox{K}}cup {mbox{N}},!

 sqsubset ; sqsubseteq ; sqsupset ; sqsupseteq ; sqcap ; sqcup

sqsubset ;sqsubseteq ;sqsupset ;sqsupseteq ;sqcap ;sqcup ,!

Logical

 forall exists nexists land wedge lor vee lnot neg setminus smallsetminus

forall ;exists ;nexists ;land wedge ;lor ;vee ;lnot ;neg ;setminus ;smallsetminus ,!

Groups

Sums

 A= sum_i=1?n a_i

A=sum _{{i=1}}^{n}a_{i},!

Producers

 X= prod_i=1?n x_i

X=prod _{{i=1}}^{n}x_{i},!

Coproducts

 X= coprod_i=1?n x_i

X=coprod _{{i=1}}^{n}x_{i},!

Joins

 A= bigcup_i=1***k! A_i ;; quad A= biguplus_i=1***k! A_i ;; quad A= bigsqcup_i=1***k! A_i

A=bigcup _{{i=1}}^{{k}}A_{i};;quad A=biguplus _{{i=1}}^{{k}}A_{i};;quad A=bigsqcup _{{i=1}}^{{k}}A_{i},!

Intersection

 A= bigcap_i=1***k! A_i

A=bigcap _{{i=1}}^{{k}}A_{i},!

Disjunction

 P= bigvee_i=1***k! p_i

p=bigvee _{{i=1}}^{{k}}p_{i},!

Conjunction

 P= bigwedge_i=1***k! p_i

p=bigwedge _{{i=1}}^{{k}}p_{i},!

Tables, matrices and multilines

Tables

The structure begin{array} must be followed, between braces, by one letter per column l, c or r, depending on whether you want the data in the column to be aligned to the right, center, or left, you can insert a single or double vertical bar between these letters, so that in the table there is a dividing line between the columns.

 begin{array♫crl!c " r " l ♪center " right " left ♪focused " Right. " Left
 end{array! quad begin{array♫أعربي Русский! hlinel " c " r ♪left " center " right ♪Left " focused " Right. ♪ hline end{array!

{begin{array}{crl}c&r&l\center&right&left\centrado&derecha&izquierdaend{array}}quad {begin{array}{|l|c|r|}hline l&c&r\left&center&right\izquierda&centrado&derecha\hline end{array}}

 begin{array♫日本語c! hlinea " b " a lor b ♪ hline0 " 0 " 0 ♪0 " 1 " 1 ♪1 " 0 " 1 ♪1 " 1 " 1 ♪ hline end{array! quad begin{array♫日本語c! hlinea " b " a land b ♪ hline0 " 0 " 0 ♪0 " 1 " 0 ♪1 " 0 " 0 ♪1 " 1 " 1 ♪ hline end{array!

{displaystyle {begin{array}{|c|c||c|}hline a&b&alor b\hline 0&0&0\0&1&1\1&0&1\1&1&1\hline end{array}}quad {begin{array}{|c|c||c|}hline a&b&aland b\hline 0&0&0\0&1&0\1&0&0\1&1&1\hline end{array}}}

Arrays

 mathbb{A! = ; begin{smallmatrix!a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{smallmatrix!

{mathbb {A}}=;{begin{smallmatrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{smallmatrix}}

 mathbb{A! = ; begin{matrix! a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{matrix!

{mathbb {A}}=;{begin{matrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{matrix}}

 mathbb{A! = ; begin{vmatrix!a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{vmatrix!

{mathbb {A}}=;{begin{vmatrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{vmatrix}}

 mathbb{A! = ; begin{Vmatrix!a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{Vmatrix!

{mathbb {A}}=;{begin{Vmatrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{Vmatrix}}

 mathbb{A! = ; begin{bmatrix!a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{bmatrix!

{mathbb {A}}=;{begin{bmatrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{bmatrix}}

 mathbb{A! = ; begin{Bmatrix!a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{Bmatrix!

{mathbb {A}}=;{begin{Bmatrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{Bmatrix}}

 mathbb{A! = ; begin{pmatrix!a_(1.1)! " a_(1.2)! " a_(1.3)! " a_(1.4)! " a_(1.5)! ♪a_(2.1)! " a_(2,2)! " a_(2.3)! " a_(2.4)! " a_(2.5)! ♪a_(3.1)! " a_(3.2)! " a_(3.3)! " a_(3.4)! " a_(3.5)! ♪a_(4.1)! " a_(4.2)! " a_(4.3)! " a_(4.4)! " a_(4,5)! ♪a_(5.1)! " a_(5.2)! " a_(5.3)! " a_(5.4)! " a_(5.5)! end{pmatrix!

{mathbb {A}}=;{begin{pmatrix}a_{{(1,1)}}&a_{{(1,2)}}&a_{{(1,3)}}&a_{{(1,4)}}&a_{{(1,5)}}\a_{{(2,1)}}&a_{{(2,2)}}&a_{{(2,3)}}&a_{{(2,4)}}&a_{{(2,5)}}\a_{{(3,1)}}&a_{{(3,2)}}&a_{{(3,3)}}&a_{{(3,4)}}&a_{{(3,5)}}\a_{{(4,1)}}&a_{{(4,2)}}&a_{{(4,3)}}&a_{{(4,4)}}&a_{{(4,5)}}\a_{{(5,1)}}&a_{{(5,2)}}&a_{{(5,3)}}&a_{{(5,4)}}&a_{{(5,5)}}end{pmatrix}}

Multiline Equations

 begin{array♫rcl!f(n) " = " (n+1)^3 ♪ " = " n^3 + 3n^2 +3n + 1
 end{array!

{begin{array}{rcl}f(n)&=&(n+1)^{3}\&=&n^{3}+3n^{2}+3n+1end{array}}

 begin{matrix!f(n) " = " (n+1)^3 ♪ " = " n^3 + 3n^2 +3n + 1
 end{matrix!

{begin{matrix}f(n)&=&(n+1)^{3}\&=&n^{3}+3n^{2}+3n+1end{matrix}}

 begin{align!f(n) " = " (n+1)^3 ♪ " = " n^3 + 3n^2 +3n + 1
 end{align!

{begin{aligned}f(n)&=&(n+1)^{3}\&=&n^{3}+3n^{2}+3n+1end{aligned}}

 begin{alignat♫2!f(n) " = " (n+1)^3 ♪ " = " n^3 + 3n^2 +3n + 1
 end{alignat!

{begin{alignedat}{2}f(n)&=&(n+1)^{3}\&=&n^{3}+3n^{2}+3n+1end{alignedat}}

Alternate method using tables

{int.
日本語 ≤2 f(n) ≤2日本語 ≤2 = ≤2日本語 ≤2 (n+1)^3 ≤2UD-
日本語
日本語≤2 = ≤2日本語 ≤2 n^3 + 3n^2 +3n + 1 ≤2.

$f(n),!$	$=,!$	$(n+1)^{3},!$
	$=,!$	$n^{3}+3n^{2}+3n+1,!$

Systems of equations, with fractions using frac

 left.
 begin{matrix! 4 cdot frac{2x^3+7♫5x^2+2y+5!=2 ♪ frac{2x^y+8xy♫5x^2+2yz^2+17z!=
 end{matrix! right ♪

left.{begin{matrix}4cdot {frac {2x^{3}+7}{5x^{2}+2y+5}}=2\{frac {2x^{y}+8xy}{5x^{2}+2yz^{2}+17z}}=43end{matrix}}right}

Systems of equations, with fractions using cfrac

 left.
 begin{matrix! 4 cdot cfrac{2x^3+7♫5x^2+2y+5!=2 ♪ cfrac{2x^y+8xy♫5x^2+2yz^2+17z!=
 end{matrix! right ♪

left.{begin{matrix}4cdot {cfrac {2x^{3}+7}{5x^{2}+2y+5}}=2\{cfrac {2x^{y}+8xy}{5x^{2}+2yz^{2}+17z}}=43end{matrix}}right}

Putting expressions in brackets, brackets

Horizontal Braces

Upper braces

 overbrace{ Keys ; above ***Up♪Down! quad begin{matrix! Up ♪ overbrace{ Keys ; above ! ♪Down
 end{matrix! quad overbrace{ 2x^3 +5x^2 -2x ***in ; x! +
 overbrace{ 3y^4 -3y^2 -4y ***in ; and!

overbrace {Llaves;superiores}_{{abajo}}^{{arriba}}quad {begin{matrix}arriba\overbrace {Llaves;superiores}\abajoend{matrix}}quad overbrace {2x^{3}+5x^{2}-2x}^{{en;x}}+overbrace {3y^{4}-3y^{2}-4y}^{{en;y}},!

Lower Keys

 underbrace{ Keys ; lower ***Up♪Down! quad begin{matrix! Up ♪ underbrace{ Keys ; lower ! ♪Down
 end{matrix! quad underbrace{ 2x^3 +5x^2 -2x ♪in ; x! +
 underbrace{ 3y^4 -3y^2 -4y ♪in ; and!

underbrace {Llaves;inferiores}_{{abajo}}^{{arriba}}quad {begin{matrix}arriba\underbrace {Llaves;inferiores}\abajoend{matrix}}quad underbrace {2x^{3}+5x^{2}-2x}_{{en;x}}+underbrace {3y^{4}-3y^{2}-4y}_{{en;y}},!

Nested braces

 underbrace{ underbrace{ 5x^3 -2x^2 ♪in ; x! +
 underbrace{ 3y^2 +4y ♪in ; and! =
 underbrace{ 2z^2 -z ♪in ; z! ♪Equaci acute{or! n! quad overbrace{ underbrace{ 5x^3 -2x^2 ♪in ; x! +
 underbrace{ 3y^2 +4y ♪in ; and! =
 underbrace{ 2z^2 -z ♪in ; z! ***Equaci acute{or! n!

underbrace {underbrace {5x^{3}-2x^{2}}_{{en;x}}+underbrace {3y^{2}+4y}_{{en;y}}=underbrace {2z^{2}-z}_{{en;z}}}_{{Ecuaci{acute {o}}n}}quad overbrace {underbrace {5x^{3}-2x^{2}}_{{en;x}}+underbrace {3y^{2}+4y}_{{en;y}}=underbrace {2z^{2}-z}_{{en;z}}}^{{Ecuaci{acute {o}}n}}

 underbrace{ underbrace{ underbrace{ Them ♪D! ; underbrace{ and tilde{n! os ♪N! ; ♪Subject! underbrace{ underbrace{ drawing ♪N! ; underbrace{ One ; flower ♪CD! ; underbrace{ for ; the ; teacher ♪CI! ; underbrace{ in; the ; notebook ♪CCL! ♪Preached! ♪Oraci acute{or! n!

underbrace {underbrace {underbrace {Los}_{{D}};underbrace {ni{tilde {n}}os}_{{N}};}_{{Sujeto}}underbrace {underbrace {dibujan}_{{N}};underbrace {una;flor}_{{CD}};underbrace {para;la;maestra}_{{CI}};underbrace {en;el;cuaderno}_{{CCL}}}_{{Predicado}}}_{{Oraci{acute {o}}n}}

Vertical Anchors

The size of the delimiters must correspond to the size of the expression they delimit:

 (frac{1♫2!)
 longrightarrow mathit{ Evil ! quad left (
 frac{1♫2! right)
 longrightarrow mathit{ Good. !

({frac {1}{2}})longrightarrow {mathit {Mal}}quad left({frac {1}{2}}right)longrightarrow {mathit {Bien}},!

The shape of the vertical delimiters is defined by the following signs:

Paréntesis

(
)

(quad)

Corchetes

 lbrack[chuckles]
 rbrack]

lbrack quad [quad rbrack quad ]

Keys

 ♪ lbrace ♪ rbrace

{quad lbrace quad }quad rbrace

Angles

 langle rangle

langle quad rangle

Vertical bars

 日本語
 vert UD

|quad vert quad |

Lower and upper round

 lceil lfloor rceil rfloor

lceil quad lfloor quad rceil quad rfloor

Tilt bars

 backslash/

backslash quad /

Single and double arrows

 downarrow uparrow updownarrow Downarrow Uparrow Updownarrow

downarrow quad uparrow quad updownarrow quad Downarrow quad Uparrow quad Updownarrow

Constant Delimiters

The constant vertical delimiters are defined in terms of sizes by the reserved words:

big Big bigg Bigg

The constant delimiters can be alternated in any order and opening one of them does not necessarily force you to close it.

Let's look at some examples.

Parentheses

 big (
 Big (
 bigg (
 Bigg (
 quad Bigg)
 bigg)
 Big)
 big)

{big (}{Big (}{bigg (}{Bigg (}quad {Bigg)}{bigg)}{Big)}{big)},!

Brackets

 big [chuckles]
 Big [chuckles]
 bigg [chuckles]
 Bigg [chuckles]
 quad Bigg ]
 bigg ]
 Big ]
 big ]

{big [}{Big [}{bigg [}{Bigg [}quad {Bigg ]}{bigg ]}{Big ]}{big ]},!

Keys

 big ♪ Big ♪ bigg ♪ Bigg ♪ quad Bigg ♪ bigg ♪ Big ♪ big ♪

{big {}{Big {}{bigg {}{Bigg {}quad {Bigg }}{bigg }}{Big }}{big }},!

Angles

 big langle Big langle bigg langle Bigg langle quad Bigg rangle bigg rangle Big rangle big rangle

{big langle }{Big langle }{bigg langle }{Bigg langle }quad {Bigg rangle }{bigg rangle }{Big rangle }{big rangle },!

Single and double bars

 big 日本語
 Big 日本語
 bigg 日本語
 Bigg 日本語
 quad Bigg 日本語
 bigg 日本語
 Big 日本語
 big 日本語

{big |}{Big |}{bigg |}{Bigg |}quad {Bigg |}{bigg |}{Big |}{big |},!

 big UD Big UD bigg UD Bigg UD quad Bigg UD bigg UD Big UD big UD

{big |}{Big |}{bigg |}{Bigg |}quad {Bigg |}{bigg |}{Big |}{big |},!

Bottom and upper rounding

 big lfloor Big lfloor bigg lfloor Bigg lfloor quad Bigg rceil bigg rceil Big rceil big rceil

{big lfloor }{Big lfloor }{bigg lfloor }{Bigg lfloor }quad {Bigg rceil }{bigg rceil }{Big rceil }{big rceil },!

Single and double arrows

 biguparrow Biguparrow bigguparrow Bigguparrow quad BiggDownarrow biggDownarrow BigDownarrow bigDownarrow

{big uparrow }{Big uparrow }{bigg uparrow }{Bigg uparrow }quad {Bigg Downarrow }{bigg Downarrow }{Big Downarrow }{big Downarrow },!

Variable Delimiters

Variable delimiters automatically adjust to the size of the expression they delimit, always starting with the keyword: left and ending with: right, all left It must necessarily be closed with a right, although the opening and closing signs do not have to be the same, if one of the two signs is not wanted to appear in its place, a point (.) is put.

We can see some examples of these delimiters.

Parentheses

 left (
 frac{a♫b! right)
=
 left (
 begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right)

left({frac {a}{b}}right)=left({begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right),!

Brackets

 left [chuckles]
 frac{a♫b! right ]
=
 left [chuckles]
 begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right ]

left[{frac {a}{b}}right]=left[{begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right],!

Keys

 left ♪ frac{a♫b! right ♪=
 left ♪ begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right ♪

left{{frac {a}{b}}right}=left{{begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right},!

Angles (<, >)

 left langle frac{a♫b! right rangle=
 left langle begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right rangle

{displaystyle leftlangle {frac {a}{b}}rightrangle =leftlangle {begin{matrix}c_{(1,1)}&c_{(1,2)}&c_{(1,3)}\c_{(2,1)}&c_{(2,2)}&c_{(2,3)}\c_{(3,1)}&c_{(3,2)}&c_{(3,3)}end{matrix}}rightrangle }

Single and double bars

 left 日本語
 frac{a♫b! right 日本語
=
 left 日本語
 begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right 日本語

left|{frac {a}{b}}right|=left|{begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right|,!

 left UD frac{a♫b! right UD=
 left UD begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right UD

left|{frac {a}{b}}right|=left|{begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right|,!

Bottom and upper rounding

 left lfloor frac{a♫b! right rfloor=
 left lfloor begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right rfloor

leftlfloor {frac {a}{b}}rightrfloor =leftlfloor {begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}rightrfloor ,!

 left lceil frac{a♫b! right rceil=
 left lceil begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right rceil

leftlceil {frac {a}{b}}rightrceil =leftlceil {begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}rightrceil ,!

Slashes and backslashes

 left /
 frac{a♫b! right backslash=
 left /
 begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right backslash

{displaystyle left/{frac {a}{b}}rightbackslash =left/{begin{matrix}c_{(1,1)}&c_{(1,2)}&c_{(1,3)}\c_{(2,1)}&c_{(2,2)}&c_{(2,3)}\c_{(3,1)}&c_{(3,2)}&c_{(3,3)}end{matrix}}rightbackslash }

Single and double arrows

 left uparrow frac{a♫b! right downarrow =
 left Uparrow begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right Downarrow

leftuparrow {frac {a}{b}}rightdownarrow =leftUparrow {begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}rightDownarrow ,!

Delimiters can be mixed

Delimiters can be mixed, as long as each left is closed by a right

 left [chuckles]
 frac{a♫b! right)
=
 left langle begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right 日本語

left[{frac {a}{b}}right)=leftlangle {begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right|,!

Don't display an anchor

Use left. and right. if you don't want to display a delimiter

 left.
 frac{a♫b! right ♪=
 left (
 begin{matrix! c_(1.1)! " c_(1.2)! " c_(1.3)! ♪c_(2.1)! " c_(2,2)! " c_(2.3)! ♪c_(3.1)! " c_(3.2)! " c_(3.3)! end{matrix! right.

left.{frac {a}{b}}right}=left({begin{matrix}c_{{(1,1)}}&c_{{(1,2)}}&c_{{(1,3)}}\c_{{(2,1)}}&c_{{(2,2)}}&c_{{(2,3)}}\c_{{(3,1)}}&c_{{(3,2)}}&c_{{(3,3)}}end{matrix}}right.,!

Symbols

Any symbol preceded by not is represented crossed with a slash, indicating negation, there are symbols that already indicate negation directly, if they exist, use them preferably, if not put not and the sign that is wants to deny

 equiv notequiv frown notfrown

equiv quad infty quad smile quad frown quad

Of proportion

 prop varprop

propto quad varpropto quad

Relationship

 bumpeq Bumpeq eqcirc dot= doteq circeq triangleq cong doteqdot fallingdotseq risingdotseq

bumpeq quad Bumpeq quad eqcirc quad {dot =}quad doteq quad circeq quad triangleq quad cong quad doteqdot quad fallingdotseq quad risingdotseq quad

Of Inequality

 ne neq

neq quad neq quad

Similar or approximate

 sim thicksim backsim approx thickapprox simeq backsimeq eqsim approxeq

sim quad thicksim quad backsim quad approx quad thickapprox quad simeq quad backsimeq quad eqsim quad approxeq quad

 nsim ncong

nsim quad ncong quad

Comparison

 gg ggg ll lll asymp

gg quad ggg quad ll quad lll quad asymp quad

 lessdot le leq leq leqslant eqslantless lesssim lessapprox lessgtr lesseqgtr lesseqqgtr

lessdot quad leq quad leq quad leqq quad leqslant quad eqslantless quad lesssim quad lessapprox quad lessgtr quad lesseqgtr quad lesseqqgtr quad

 gtrdot ge geq geqq geqslant eqslantgtr gtrsim gtrapprox gtrless gtreqless gtreqless

gtrdot quad geq quad geq quad geqq quad geqslant quad eqslantgtr quad gtrsim quad gtrapprox quad gtrless quad gtreqless quad gtreqqless quad

 not. lnsim lnapprox lneq lneqq lvertneqq nleqq nleqslant

<math alttext="{displaystyle not {displaystyle not Δquad lnsim quad lnapprox quad lneq quad lneqq quad lvertneqq quad nleqq quad nleq quad quad quad quad } <img alt="not

 ngtr gnsim gnapprox gneq gneqq gvertneqq ngeqq ngeqslant

ngtr quad gnsim quad gnapprox quad gneq quad gneqq quad gvertneqq quad ngeqq quad ngeqslant quad

Of order

 curlywedge curlyvee

curlywedge quad curlyvee quad

 prec preceq precsim precapprox curlyeqprec preccurlyeq

prec quad preceq quad precsim quad precapprox quad curlyeqprec quad preccurlyeq quad

 succ succeq succsim succapprox curlyeqsucc succcurlyeq

succ quad succeq quad succsim quad succapprox quad curlyeqsucc quad succcurlyeq quad

 nprec npreceq precnsim precnapprox precneqq

nprec quad npreceq quad precnsim quad precnapprox quad precneqq quad

 nsucc nsucceq succnsim succnapprox succneqq

nsucc quad nsucceq quad succnsim quad succnapprox quad succneqq quad

Sets

 ♪ empty emptyset varnothing cap ♪ subset supset ni in notin pitchfork uplus

{displaystyle emptyset quad emptyset quad emptyset quad varnothing quad cap quad cup quad subset quad supset quad ni quad in quad notin quad pitchfork quad uplus quad }

 subseteq subseteqq supseteq supseteqq

subseteq quad subseteqq quad supseteq quad supseteqq quad

 nsubseteq nsubseteqq nsupseteq nsupseteqq

nsubseteq quad nsubseteqq quad nsupseteq quad nsupseteqq quad

 subsetneq subsetneqq supsetneqq varsubsetneq varsubsetneqq varsupsetneq varsupsetneqq

subsetneq quad subsetneqq quad supsetneqq quad varsubsetneq quad varsubsetneqq quad varsupsetneq quad varsupsetneqq quad

 sqcap sqcup sqsubset sqsubseteq sqsupset sqsupseteq

sqcap quad sqcup quad sqsubset quad sqsubseteq quad sqsupset quad sqsupseteq quad

 doublecap Cap doublecup Cup Subset Supset

Cap quad Cap quad Cup quad Cup quad Subset quad Supset quad

Logic

 exists nexists Finv forall land wedge lor vee lnot neg

exists quad nexists quad Finv quad forall quad land quad wedge quad lor quad vee quad lnot quad neg quad

Operations

 surd  backprim 'Cause therefore ast star times rtimes ltimes bigstar circ bullet cdot centerdot div divideontimes

surd quad prime quad backprime quad because quad therefore quad ast quad star quad times quad rtimes quad ltimes quad bigstar quad circ quad bullet quad cdot quad centerdot quad div quad divideontimes quad

 dotplus mp pm

dotplus quad mp quad pm quad

 circledast circledcirc circleddash odot ominus oplus oslash otimes

circledast quad circledcirc quad circleddash quad odot quad ominus quad oplus quad oslash quad otimes quad

 Box boxdot boxminus boxplus boxtimes

Box quad boxdot quad boxminus quad boxplus quad boxtimes quad

 bigcirc circledS bigodot bigoplus bigotimes

bigcirc quad circledS quad bigodot quad bigoplus quad bigotimes quad

Delimiters

 langle rangle lbrace rbrace lbrack rbrack lceil lfloor rceil rfloor

langle quad rangle quad lbrace quad rbrace quad lbrack quad rbrack quad lceil quad lfloor quad rceil quad rfloor quad

Arrows

 circlearrowleft circlearrowright curverowleft curverowright

circlearrowleft quad circlearrowright quad curvearrowleft quad curvearrowright quad

 gets leftarrow rightarrow  leftrightarrow nleftarrow nrightarrow nleftrightarrow downarrow uparrow updownarrow

gets quad leftarrow quad rightarrow quad to quad leftrightarrow quad nleftarrow quad nrightarrow quad nleftrightarrow quad downarrow quad uparrow quad updownarrow quad

 longleftarrow longrightarrow longleftrightarrow

longleftarrow quad longrightarrow quad longleftrightarrow quad

 longmapsto mapsto

longmapsto quad mapsto quad

 nearrow nwarrow searrow swarrow

nearrow quad nwarrow quad searrow quad swarrow quad

 hookleftarrow hookrightarrow leftarrowtail rightarrowtail twoheadleftarrow twoheadrightarrow

hookleftarrow quad hookrightarrow quad leftarrowtail quad rightarrowtail quad twoheadleftarrow quad twoheadrightarrow quad

 Leftarrow Rightarrow Leftrightarrow nLeftarrow nRightarrow nLeftrightarrow Downarrow Uparrow Updownarrow

Leftarrow quad Rightarrow quad Leftrightarrow quad nLeftarrow quad nRightarrow quad nLeftrightarrow quad Downarrow quad Uparrow quad Updownarrow quad

 Longleftrightarrow iff

Longleftrightarrow quad iff quad

 leftharpoondown leftharpoonup rightharpoondown rightharpoonup leftrightharpoons rightleftharpoons downharpoonleft downharpoonright upharpoonleft upharpoonright

leftharpoondown quad leftharpoonup quad rightharpoondown quad rightharpoonup quad leftrightharpoons quad rightleftharpoons quad downharpoonleft quad downharpoonright quad upharpoonleft quad upharpoonright quad

 leftleftarrows rightarrows leftrightarrows rightleftarrows downarrows uparrows

leftleftarrows quad rightrightarrows quad leftrightarrows quad rightleftarrows quad downdownarrows quad upuparrows quad

 leftrightsquigarrow rightsquigarrow multimap

leftrightsquigarrow quad rightsquigarrow quad multimap quad

 Lleftarrow Rrightarrow

Lleftarrow quad Rrightarrow quad

 looparrowleft looparrowright

looparrowleft quad looparrowright quad

 Rsh Lsh

Rsh quad Lsh quad

 xleftarrow[lows]{Up! xrightarrow[lows]{Up!

{xleftarrow[ {abajo}]{arriba}}quad {xrightarrow[ {abajo}]{arriba}}quad

Ellipsis

 dots ldots cdots ddots vdots

dots quad ldots quad cdots quad ddots quad vdots quad

Groups

 bigcap_♪***b! bigcup_♪***b! bigsqcup_♪***b! biguplus_♪***b! bigvee_♪***b! bigwedge_♪***b! coprod_♪***b! prod_♪***b! sum_♪***b! bigodot_♪***b! bigoplus_♪***b! bigotimes_♪***b!

{displaystyle bigcap _{i=a}^{b}quad bigcup _{i=a}^{b}quad bigsqcup _{i=a}^{b}quad biguplus _{i=a}^{b}quad bigvee _{i=a}^{b}quad bigwedge _{i=a}^{b}quad coprod _{i=a}^{b}quad prod _{i=a}^{b}quad sum _{i=a}^{b}quad bigodot _{i=a}^{b}quad bigoplus _{i=a}^{b}quad bigotimes _{i=a}^{b}quad }

Bars

 smallsetminus diagdown backslash setminus / not diagup

smallsetminus quad diagdown quad backslash quad setminus quad /quad not quad diagup quad

 vert mid nmid UD lVert rVert parallel nparallel

vert quad mid quad nmid quad |quad lVert quad rVert quad parallel quad nparallel quad

 shortmid nshortmid shortparallel nshortparallel

shortmid quad nshortmid quad shortparallel quad nshortparallel quad

Geometry

 lozenge square triangledown vartriangle vartriangleleft vartriangleright

lozenge quad square quad triangledown quad vartriangle quad vartriangleleft quad vartriangleright quad

 blacklozenge blacksquare blacktriangle blacktriangledown blacktriangleleft blacktriangleright

blacklozenge quad blacksquare quad blacktriangle quad blacktriangledown quad blacktriangleleft quad blacktriangleright quad

 Diamond diamond triangle bigtriangleup bigtriangledown

Diamond quad diamond quad triangle quad bigtriangleup quad bigtriangledown quad

 triangleleft triangleright bowtie ntriangleleft ntrianglelefteq ntriangleright ntrianglerighteq

triangleleft quad triangleright quad bowtie quad ntriangleleft quad ntrianglelefteq quad ntriangleright quad ntrianglerighteq quad

 angle measuredangle sphericalangle

angle quad measuredangle quad sphericalangle quad

 top bot vdash dashv

top quad bot quad vdash quad dashv quad

 vdash vDash Vdash Vvdash

vdash quad vDash quad Vdash quad Vvdash quad

 nvdash nvDash nVdash nVDash

nvdash quad nvDash quad nVdash quad nVDash

Other signs

 ell flat hbar imath jmath backepsilon eth Im wp wr

ell quad flat quad hbar quad imath quad jmath quad backepsilon quad eth quad Im quad wp quad wr quad

 mho Re amalg nabla partial And checkmark

{displaystyle mho quad Re quad amalg quad nabla quad partial quad And quad checkmark }

 Bbbk complement digamma intercal Game Pr P AA

{displaystyle Bbbk quad complement quad digamma quad intercal quad Game quad Pr quad P quad mathrm {AA} }

 natural sharp dagger ddagger leftthreetimes rightthreetimes S between

natural quad sharp quad dagger quad ddagger quad leftthreetimes quad rightthreetimes quad S quad between quad

 clubsuit diamondsuit heartsuit spadesuit

clubsuit quad diamondsuit quad heartsuit quad spadesuit quad

 barwedge doublebarwedge veebar

barwedge quad doublebarwedge quad veebar quad

 ulcorner urcorner llcorner lrcorner

ulcorner quad urcorner quad llcorner quad lrcorner quad

Text

Fonts

Italics (italics)

 mathit{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathit{abcdefghijklmnopqrstuvwxyz! , mathit{:,?! _日本語$! , mathit{0123456789'()[]+-*/%= voluntary! ,

{mathit {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mathit {abcdefghijklmnopqrstuvwxyz}},

{displaystyle {mathit {:;,.?!_{|}$}},}

<math alttext="{displaystyle {mathit {0123456789'()[]+-*/%=}},}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle {mathit {0123456789'()[]+-*/%= taxpayer}}},<img alt="{displaystyle {mathit {0123456789'()[]+-*/%=}},}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3e81d8de1f677d00bc298b73d6da49bc038efbb4" style="vertical-align: -0.838ex; width:32.233ex; height:3.009ex;"/>

Blackboard bold

 mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathbb{abcdefghijklmnopqrstuvwxyz! , mathbb{:,?! _日本語$! , mathbb{0123456789'()[]+-*/%= voluntary! ,

{ABCDEFGHIJKLMNOPQRSTUVWXYZ},

{abcdefghijklmnopqrstuvwxyz},

{displaystyle {:;,.?!_{|}$},}

<math alttext="{displaystyle {0123456789'()[]+-*/%=},}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle {0123456789'()[]+-*/%= taxpayer},}<img alt="{displaystyle {0123456789'()[]+-*/%=},}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0e96fbaed45df325db66429c06461b08492d725" style="vertical-align: -0.838ex; width:31.811ex; height:3.009ex;"/>

Italics

 {ABCDEFGHIJKLMNOPQRSTUVWXYZ! , {abcdefghijklmnopqrstuvwxyz! , {:,?! _日本語$! , {0123456789'()[]+-*/%= voluntary! ,

{ABCDEFGHIJKLMNOPQRSTUVWXYZ},

{abcdefghijklmnopqrstuvwxyz},

{displaystyle {:;,.?!_{|}$},}

<math alttext="{displaystyle {0123456789'()[]+-*/%=},}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle {0123456789'()[]+-*/%= taxpayer},}<img alt="{displaystyle {0123456789'()[]+-*/%=},}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0e96fbaed45df325db66429c06461b08492d725" style="vertical-align: -0.838ex; width:31.811ex; height:3.009ex;"/>

Boldsymbol (Bold Italics)

 boldsymbol{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , boldsymbol{abcdefghijklmnopqrstuvwxyz! , boldsymbol{:,?! _日本語$! , boldsymbol{0123456789'()[]+-*/%= voluntary! ,

{boldsymbol {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{boldsymbol {abcdefghijklmnopqrstuvwxyz}},

{displaystyle {boldsymbol {:;,.?!_{|}$}},}

<math alttext="{displaystyle {boldsymbol {0123456789'()[]+-*/%=}},}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle {boldsymbol {0123456789'()[]+-*/%= tax}{,}<img alt="{displaystyle {boldsymbol {0123456789'()[]+-*/%=}},}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1283e634a833048c9c3a18fad386e63f1fa07fee" style="vertical-align: -0.838ex; width:35.824ex; height:3.009ex;"/>

Roman font

 mathrm{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathrm{abcdefghijklmnopqrstuvwxyz! , mathrm{:,?! _日本語$! , mathrm{0123456789'()[]+-*/%= voluntary! ,

{mathrm {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mathrm {abcdefghijklmnopqrstuvwxyz}},

{displaystyle mathrm {:;,.?!_{|}$} ,}

<math alttext="{displaystyle mathrm {0123456789'()[]+-*/%=} ,}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle mathrm {0123456789'()[]+-*/%= prescription },}<img alt="{displaystyle mathrm {0123456789'()[]+-*/%=} ,}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b5db0083699868c670a3db946020549a91b03d82" style="vertical-align: -0.838ex; width:31.811ex; height:3.009ex;"/>

Non-italic characters

 mbox{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mbox{abcdefghijklmnopqrstuvwxyz! , mbox{:,?!! , mbox{0123456789()+-*=! ,

{mbox{ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mbox{abcdefghijklmnopqrstuvwxyz}},

{mbox{:;,.?!}},

{mbox{0123456789()+-*=}},

 text{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , text{abcdefghijklmnopqrstuvwxyz! , text{:,?!! , text{0123456789()+-*=! ,

{text{ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{text{abcdefghijklmnopqrstuvwxyz}},

{text{:;,.?!}},

{text{0123456789()+-*=}},

Bold

 mathbf{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathbf{abcdefghijklmnopqrstuvwxyz! , mathbf{:,?! _日本語$! , mathbf{0123456789'()[]+-*/%= voluntary! ,

{mathbf {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mathbf {abcdefghijklmnopqrstuvwxyz}},

{displaystyle mathbf {:;,.?!_{|}$} ,}

<math alttext="{displaystyle mathbf {0123456789'()[]+-*/%=} ,}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle mathbf {0123456789'()[]+-*/%= taxpayer} ,}<img alt="{displaystyle mathbf {0123456789'()[]+-*/%=} ,}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/26b0759424245c15788c377567940e7774373f38" style="vertical-align: -0.838ex; width:35.998ex; height:3.009ex;"/>

Fraktur Font

 mathfrak{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathfrak{abcdefghijklmnopqrstuvwxyz! , mathfrak{:,?! _日本語$! , mathfrak{0123456789'()[]+-*/%= voluntary! ,

{mathfrak {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mathfrak {abcdefghijklmnopqrstuvwxyz}},

{displaystyle {mathfrak {:;,.?!_{|}$}},}

<math alttext="{displaystyle {mathfrak {0123456789'()[]+-*/%=}},}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle {mathfrak {0123456789'()[]+-*/%= implies}},}<img alt="{displaystyle {mathfrak {0123456789'()[]+-*/%=}},}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/14cedf1a1c92abe109cb569126e9173f518667f6" style="vertical-align: -0.671ex; width:31.759ex; height:2.843ex;"/>

Drawn

 mathcal{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathcal{abcdefghijklmnopqrstuvwxyz! , mathcal{:,?! _日本語$! , mathcal{0123456789'()[]+-*/%= voluntary! ,

{mathcal {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mathcal {abcdefghijklmnopqrstuvwxyz}},

{displaystyle {mathcal {:;,.?!_{|}$}},}

<math alttext="{displaystyle {mathcal {0123456789'()[]+-*/%=}},}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle {mathcal {0123456789'()[]+-*/%= taxpayer}}},<img alt="{displaystyle {mathcal {0123456789'()[]+-*/%=}},}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cdcb2650856609db4e03cf61130cdfe579fa0c67" style="vertical-align: -0.838ex; width:31.811ex; height:3.009ex;"/>

 mathbb{ABCDEFGHIJKLMNOPQRSTUVWXYZ! , mathbb{abcdefghijklmnopqrstuvwxyz! , mathbb{:,?! _日本語$! , mathbb{0123456789'()[]+-*/%= voluntary! ,

{mathbb {ABCDEFGHIJKLMNOPQRSTUVWXYZ}},

{mathbb {abcdefghijklmnopqrstuvwxyz}},

{displaystyle mathbb {:;,.?!_{|}$} ,}

<math alttext="{displaystyle mathbb {0123456789'()[]+-*/%=} ,}" xmlns="http://www.w3.org/1998/Math/MathML">0123456789♫()[chuckles]]+− − ↓ ↓ /% % = voluntary{displaystyle mathbb {0123456789'()[]+-*/%= prescription },}<img alt="{displaystyle mathbb {0123456789'()[]+-*/%=} ,}" aria-hidden="true" class="mwe-math-fallback-image-inline" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/690d1fba63f6e85aab72ab65b1bfc62c6004ee73" style="vertical-align: -0.838ex; width:31.165ex; height:3.009ex;"/>

Greek alphabet

Note that some Greek capitals are rendered the same as their Latin counterparts.

 begin{array♫llll!alpha " Alpha " alpha ♪beta " Beta " beta ♪gamma " Gamma " gamma ♪delta " Delta " delta ♪epsilon " Epsilon " epsilon " varepsilon ♪zeta " Zeta " zeta ♪eta " Eta " eta ♪theta " Theta " theta " vartheta ♪iota " Iota " iota ♪kappa " Kappa " kappa " varkappa ♪lambda " Lambda " lambda ♪mum "  " mu ♪nu " Nu " nu ♪xi " Xi " xi ♪omicron " Omicron " omicron ♪piss " Pi " ♪ " varpi ♪rho " Rho " rho " varrho ♪sigma " Sigma " sigma " varsigma ♪tau " Tau " tau ♪upsilon " Upsilon " upsilon ♪phi " Phi " phi " varphi ♪♪ " Chi " chi ♪psi " Psi " psi ♪omega " Omega " omega ♪ end{array!

{displaystyle {begin{array}{llll}alpha&mathrm {A} &alpha \beta&mathrm {B} &beta \gamma&Gamma &gamma \delta&Delta &delta \epsilon&mathrm {E} &epsilon &varepsilon \zeta&mathrm {Z} &zeta \eta&mathrm {H} &eta \theta&Theta &theta &vartheta \iota&mathrm {I} &iota \kappa&mathrm {K} &kappa &varkappa \lambda&Lambda &lambda \mu&mathrm {M} &mu \nu&mathrm {N} &nu \xi&Xi &xi \pi&Pi &pi &varpi \omicron&mathrm {O} &mathrm {o} \rho&mathrm {P} &rho &varrho \sigma&Sigma &sigma &varsigma \tau&mathrm {T} &tau \upsilon&Upsilon &upsilon \phi&Phi &phi &varphi \chi&mathrm {X} &chi \psi&Psi &psi \omega&Omega &omega \end{array}}}

Sans serif (griego) (solo mayúsculas)

 begin{array♫llll!alpha " mathsf{Alpha! " mathsf{alpha! ♪beta " mathsf{Beta! " mathsf{beta! ♪gamma " mathsf{Gamma! " mathsf{gamma! ♪delta " mathsf{Delta! " mathsf{delta! ♪epsilon " mathsf{Epsilon! " mathsf{epsilon! " mathsf{varepsilon! ♪zeta " mathsf{Zeta! " mathsf{zeta! ♪eta " mathsf{Eta! " mathsf{eta! ♪theta " mathsf{Theta! " mathsf{theta! " mathsf{vartheta! ♪iota " mathsf{Iota! " mathsf{iota! ♪kappa " mathsf{Kappa! " mathsf{kappa! " mathsf{varkappa! ♪lambda " mathsf{Lambda! " mathsf{lambda! ♪mum " mathsf{! " mathsf{mu! ♪nu " mathsf{Nu! " mathsf{nu! ♪xi " mathsf{Xi! " mathsf{xi! ♪piss " mathsf{Pi! " mathsf{♪! " mathsf{varpi! ♪omicron " mathsf{Omicron! " mathsf{omicron! ♪rho " mathsf{Rho! " mathsf{rho! " mathsf{varrho! ♪sigma " mathsf{Sigma! " mathsf{sigma! " mathsf{varsigma! ♪tau " mathsf{Tau! " mathsf{tau! ♪upsilon " mathsf{Upsilon! " mathsf{upsilon! ♪phi " mathsf{Phi! " mathsf{phi! " mathsf{varphi! ♪♪ " mathsf{Chi! " mathsf{chi! ♪psi " mathsf{Psi! " mathsf{psi! ♪omega " mathsf{Omega! " mathsf{omega! ♪ end{array!

{displaystyle {begin{array}{llll}alpha&{mathsf {mathrm {A} }}&{mathsf {alpha }}\beta&{mathsf {mathrm {B} }}&{mathsf {beta }}\gamma&{mathsf {Gamma }}&{mathsf {gamma }}\delta&{mathsf {Delta }}&{mathsf {delta }}\epsilon&{mathsf {mathrm {E} }}&{mathsf {epsilon }}&{mathsf {varepsilon }}\zeta&{mathsf {mathrm {Z} }}&{mathsf {zeta }}\eta&{mathsf {mathrm {H} }}&{mathsf {eta }}\theta&{mathsf {Theta }}&{mathsf {theta }}&{mathsf {vartheta }}\iota&{mathsf {mathrm {I} }}&{mathsf {iota }}\kappa&{mathsf {mathrm {K} }}&{mathsf {kappa }}&{mathsf {varkappa }}\lambda&{mathsf {Lambda }}&{mathsf {lambda }}\mu&{mathsf {mathrm {M} }}&{mathsf {mu }}\nu&{mathsf {mathrm {N} }}&{mathsf {nu }}\xi&{mathsf {Xi }}&{mathsf {xi }}\pi&{mathsf {Pi }}&{mathsf {pi }}&{mathsf {varpi }}\omicron&{mathsf {mathrm {O} }}&{mathsf {mathrm {o} }}\rho&{mathsf {mathrm {P} }}&{mathsf {rho }}&{mathsf {varrho }}\sigma&{mathsf {Sigma }}&{mathsf {sigma }}&{mathsf {varsigma }}\tau&{mathsf {mathrm {T} }}&{mathsf {tau }}\upsilon&{mathsf {Upsilon }}&{mathsf {upsilon }}\phi&{mathsf {Phi }}&{mathsf {phi }}&{mathsf {varphi }}\chi&{mathsf {mathrm {X} }}&{mathsf {chi }}\psi&{mathsf {Psi }}&{mathsf {psi }}\omega&{mathsf {Omega }}&{mathsf {omega }}\end{array}}}

Bold (Greek)

 begin{array♫llll!alpha " boldsymbol{Alpha! " boldsymbol{alpha! ♪beta " boldsymbol{Beta! " boldsymbol{beta! ♪gamma " boldsymbol{Gamma! " boldsymbol{gamma! ♪delta " boldsymbol{Delta! " boldsymbol{delta! ♪epsilon " boldsymbol{Epsilon! " boldsymbol{epsilon! " boldsymbol{varepsilon! ♪zeta " boldsymbol{Zeta! " boldsymbol{zeta! ♪eta " boldsymbol{Eta! " boldsymbol{eta! ♪theta " boldsymbol{Theta! " boldsymbol{theta! " boldsymbol{vartheta! ♪iota " boldsymbol{Iota! " boldsymbol{iota! ♪kappa " boldsymbol{Kappa! " boldsymbol{kappa! " boldsymbol{varkappa! ♪lambda " boldsymbol{Lambda! " boldsymbol{lambda! ♪mum " boldsymbol{! " boldsymbol{mu! ♪nu " boldsymbol{Nu! " boldsymbol{nu! ♪xi " boldsymbol{Xi! " boldsymbol{xi! ♪piss " boldsymbol{Pi! " boldsymbol{♪! " boldsymbol{varpi! ♪omicron " boldsymbol{Omicron! " boldsymbol{omicron! ♪rho " boldsymbol{Rho! " boldsymbol{rho! " boldsymbol{varrho! ♪sigma " boldsymbol{Sigma! " boldsymbol{sigma! " boldsymbol{varsigma! ♪tau " boldsymbol{Tau! " boldsymbol{tau! ♪upsilon " boldsymbol{Upsilon! " boldsymbol{upsilon! ♪phi " boldsymbol{Phi! " boldsymbol{phi! " boldsymbol{varphi! ♪♪ " boldsymbol{Chi! " boldsymbol{chi! ♪psi " boldsymbol{Psi! " boldsymbol{psi! ♪omega " boldsymbol{Omega! " boldsymbol{omega! ♪ end{array!

{displaystyle {begin{array}{llll}alpha&{boldsymbol {mathrm {A} }}&{boldsymbol {alpha }}\beta&{boldsymbol {mathrm {B} }}&{boldsymbol {beta }}\gamma&{boldsymbol {Gamma }}&{boldsymbol {gamma }}\delta&{boldsymbol {Delta }}&{boldsymbol {delta }}\epsilon&{boldsymbol {mathrm {E} }}&{boldsymbol {epsilon }}&{boldsymbol {varepsilon }}\zeta&{boldsymbol {mathrm {Z} }}&{boldsymbol {zeta }}\eta&{boldsymbol {mathrm {H} }}&{boldsymbol {eta }}\theta&{boldsymbol {Theta }}&{boldsymbol {theta }}&{boldsymbol {vartheta }}\iota&{boldsymbol {mathrm {I} }}&{boldsymbol {iota }}\kappa&{boldsymbol {mathrm {K} }}&{boldsymbol {kappa }}&{boldsymbol {varkappa }}\lambda&{boldsymbol {Lambda }}&{boldsymbol {lambda }}\mu&{boldsymbol {mathrm {M} }}&{boldsymbol {mu }}\nu&{boldsymbol {mathrm {N} }}&{boldsymbol {nu }}\xi&{boldsymbol {Xi }}&{boldsymbol {xi }}\pi&{boldsymbol {Pi }}&{boldsymbol {pi }}&{boldsymbol {varpi }}\omicron&{boldsymbol {mathrm {O} }}&{boldsymbol {mathrm {o} }}\rho&{boldsymbol {mathrm {P} }}&{boldsymbol {rho }}&{boldsymbol {varrho }}\sigma&{boldsymbol {Sigma }}&{boldsymbol {sigma }}&{boldsymbol {varsigma }}\tau&{boldsymbol {mathrm {T} }}&{boldsymbol {tau }}\upsilon&{boldsymbol {Upsilon }}&{boldsymbol {upsilon }}\phi&{boldsymbol {Phi }}&{boldsymbol {phi }}&{boldsymbol {varphi }}\chi&{boldsymbol {mathrm {X} }}&{boldsymbol {chi }}\psi&{boldsymbol {Psi }}&{boldsymbol {psi }}\omega&{boldsymbol {Omega }}&{boldsymbol {omega }}\end{array}}}

Non-classical Greek letters

 begin{array♫llll!coppa " Coppa " coppa " varcoppa ♪Say, " Digamma " digamma ♪koppa " Koppa " koppa ♪sampi " Sampi " sampi ♪stigma " Stigma " stigma " varstigma end{array!

{begin{array}{llll}coppa&mbox{Coppa} &mbox{coppa} &mbox{coppa} \digamma&mbox{Digamma} &digamma \koppa&mbox{Koppa} &mbox{koppa} \sampi&mbox{Sampi} &mbox{sampi} \stigma&mbox{Stigma} &mbox{stigma} &mbox{varstigma} end{array}}

Hebrew Alphabet

 begin{array♫ll!aleph " aleph ♪beth " beth ♪gimel " gimel ♪daleth " daleth end{array!

{begin{array}{ll}aleph&aleph \beth&beth \gimel&gimel \daleth&daleth end{array}}

Color

Colors can be used in expressions

 { color{Blue! and! =
 { color{Sepia! 3x^2 ! -
 { color{Red! 5x ! +
 { color{Green! 2 !

{color {Blue}y}={color {Sepia}3x^{2}}-{color {Red}5x}+{color {Green}2}

 { color{BrickRed! x ! =
 frac { { color{Red! -b! pm sqrt{ color{Magenta! b^2-4ac ! ! { color{Green!2nd!

{color {BrickRed}x}={frac {{color {Red}-b}pm {sqrt {color {Magenta}b^{2}-4ac}}}{color {Green}2a}}

The colors can be nested, in this case the most recent will prevail:

 { color{Blue! { color{BrickRed! x ! =
 frac { { color{Red! -b! pm sqrt{ color{Magenta! b^2-4ac ! ! { color{Green!2nd! !

{color {Blue}{color {BrickRed}x}={frac {{color {Red}-b}pm {sqrt {color {Magenta}b^{2}-4ac}}}{color {Green}2a}}}

The available possibilities are these:

Outcome	Code	Outcome	Code
${color {Apricot}{mbox{Apricot}}}$	{ color{Apricot! mbox{Apricot! !	${color {Aquamarine}{mbox{Aquamarine}}}$	{ color{Aquamarine! mbox{Aquamarine! !
${color {Bittersweet}{mbox{Bittersweet}}}$	{ color{Bittersweet! mbox{Bittersweet! !	${color {Black}{mbox{Black}}}$	{ color{Black! mbox{Black! !
${color {Blue}{mbox{Blue}}}$	{ color{Blue! mbox{Blue! !	${color {BlueGreen}{mbox{BlueGreen}}}$	{ color{BlueGreen! mbox{BlueGreen! !
${color {BlueViolet}{mbox{BlueViolet}}}$	{ color{BlueViolet! mbox{BlueViolet! !	${color {BrickRed}{mbox{BrickRed}}}$	{ color{BrickRed! mbox{BrickRed! !
${color {Brown}{mbox{Brown}}}$	{ color{Brown! mbox{Brown! !	${color {BurntOrange}{mbox{BurntOrange}}}$	{ color{BurntOrange! mbox{BurntOrange! !
${color {CadetBlue}{mbox{CadetBlue}}}$	{ color{CadetBlue! mbox{CadetBlue! !	${color {CarnationPink}{mbox{CarnationPink}}}$	{ color{CarnationPink! mbox{CarnationPink! !
${color {Cerulean}{mbox{Cerulean}}}$	{ color{Cerulean! mbox{Cerulean! !	${color {CornflowerBlue}{mbox{CornflowerBlue}}}$	{ color{CornflowerBlue! mbox{CornflowerBlue! !
${color {Cyan}{mbox{Cyan}}}$	{ color{Cyan! mbox{Cyan! !	${color {Dandelion}{mbox{Dandelion}}}$	{ color{Dandelion! mbox{Dandelion! !
${color {DarkOrchid}{mbox{DarkOrchid}}}$	{ color{DarkOrchid! mbox{DarkOrchid! !	${color {Emerald}{mbox{Emerald}}}$	{ color{Emerald! mbox{Emerald! !
${color {ForestGreen}{mbox{ForestGreen}}}$	{ color{ForestGreen! mbox{ForestGreen! !	${color {Fuchsia}{mbox{Fuchsia}}}$	{ color{Fuchsia! mbox{Fuchsia! !
${color {Goldenrod}{mbox{Goldenrod}}}$	{ color{Goldenrod! mbox{Goldenrod! !	${color {Gray}{mbox{Gray}}}$	{ color{Gray.! mbox{Gray.! !
${color {Green}{mbox{Green}}}$	{ color{Green! mbox{Green! !	${color {GreenYellow}{mbox{GreenYellow}}}$	{ color{GreenYellow! mbox{GreenYellow! !
${color {JungleGreen}{mbox{JungleGreen}}}$	{ color{JungleGreen! mbox{JungleGreen! !	${color {Lavender}{mbox{Lavender}}}$	{ color{Lavender! mbox{Lavender! !
${color {LimeGreen}{mbox{LimeGreen}}}$	{ color{LimeGreen! mbox{LimeGreen! !	${color {Magenta}{mbox{Magenta}}}$	{ color{Magenta! mbox{Magenta! !
${color {Mahogany}{mbox{Mahogany}}}$	{ color{Mahogany! mbox{Mahogany! !	${color {Maroon}{mbox{Maroon}}}$	{ color{Maroon! mbox{Maroon! !
${color {Melon}{mbox{Melon}}}$	{ color{Melon! mbox{Melon! !	${color {MidnightBlue}{mbox{MidnightBlue}}}$	{ color{MidnightBlue! mbox{MidnightBlue! !
${color {Mulberry}{mbox{Mulberry}}}$	{ color{Mulberry! mbox{Mulberry! !	${color {NavyBlue}{mbox{NavyBlue}}}$	{ color{NavyBlue! mbox{NavyBlue! !
${color {OliveGreen}{mbox{OliveGreen}}}$	{ color{OliveGreen! mbox{OliveGreen! !	${color {Orange}{mbox{Orange}}}$	{ color{Orange! mbox{Orange! !
${color {OrangeRed}{mbox{OrangeRed}}}$	{ color{OrangeRed! mbox{OrangeRed! !	${color {Orchid}{mbox{Orchid}}}$	{ color{Orchid! mbox{Orchid! !
${color {Peach}{mbox{Peach}}}$	{ color{Peach! mbox{Peach! !	${color {Periwinkle}{mbox{Periwinkle}}}$	{ color{Periwinkle! mbox{Periwinkle! !
${color {PineGreen}{mbox{PineGreen}}}$	{ color{PineGreen! mbox{PineGreen! !	${color {Plum}{mbox{Plum}}}$	{ color{Plum! mbox{Plum! !
${color {ProcessBlue}{mbox{ProcessBlue}}}$	{ color{ProcessBlue! mbox{ProcessBlue! !	${color {Purple}{mbox{Purple}}}$	{ color{Purple! mbox{Purple! !
${color {RawSienna}{mbox{RawSienna}}}$	{ color{RawSienna! mbox{RawSienna! !	${color {Red}{mbox{Red}}}$	{ color{Red! mbox{Red! !
${color {RedOrange}{mbox{RedOrange}}}$	{ color{RedOrange! mbox{RedOrange! !	${color {RedViolet}{mbox{RedViolet}}}$	{ color{RedViolet! mbox{RedViolet! !
${color {Rhodamine}{mbox{Rhodamine}}}$	{ color{Rhodamine! mbox{Rhodamine! !	${color {RoyalBlue}{mbox{RoyalBlue}}}$	{ color{RoyalBlue! mbox{RoyalBlue! !
${color {RoyalPurple}{mbox{RoyalPurple}}}$	{ color{RoyalPurple! mbox{RoyalPurple! !	${color {RubineRed}{mbox{RubineRed}}}$	{ color{RubineRed! mbox{RubineRed! !
${color {Salmon}{mbox{Salmon}}}$	{ color{Salmon! mbox{Salmon! !	${color {SeaGreen}{mbox{SeaGreen}}}$	{ color{SeaGreen! mbox{SeaGreen! !
${color {Sepia}{mbox{Sepia}}}$	{ color{Sepia! mbox{Sepia! !	${color {SkyBlue}{mbox{SkyBlue}}}$	{ color{SkyBlue! mbox{SkyBlue! !
${color {SpringGreen}{mbox{SpringGreen}}}$	{ color{SpringGreen! mbox{SpringGreen! !	${color {Tan}{mbox{Tan}}}$	{ color{Tan! mbox{Tan! !
${color {TealBlue}{mbox{TealBlue}}}$	{ color{TealBlue! mbox{TealBlue! !	${color {Thistle}{mbox{Thistle}}}$	{ color{Thistle! mbox{Thistle! !
${color {Turquoise}{mbox{Turquoise}}}$	{ color{Turquoise! mbox{Turquoise! !	${color {Violet}{mbox{Violet}}}$	{ color{Violet! mbox{Violet! !
${color {VioletRed}{mbox{VioletRed}}}$	{ color{VioletRed! mbox{VioletRed! !	${color {White}{mbox{White}}}$	{ color{White! mbox{White! !
${color {WildStrawberry}{mbox{WildStrawberry}}}$	{ color{WildStrawberry! mbox{WildStrawberry! !	${color {Yellow}{mbox{Yellow}}}$	{ color{Yellow! mbox{Yellow! !
${color {YellowGreen}{mbox{YellowGreen}}}$	{ color{YellowGreen! mbox{YellowGreen! !	${color {YellowOrange}{mbox{YellowOrange}}}$	{ color{YellowOrange! mbox{YellowOrange! !

Examples

 x = 5

x=5,

 日本語 = 5

|x|=5,

 2 times left(2-xright) = 9 - 3x

2times left(2-xright)=9-3x,

 4 - 2x = 9 - 3x

4-2x=9-3x,

 -2x + 3x = 9 - 4

-2x+3x=9-4,

 2 times left(2-xright) =
 left(2-xright) times left(frac{9-3x♫2-x! right)

2times left(2-xright)=left(2-xright)times left({frac {9-3x}{2-x}}right)

 2 times left(2-xright) =
 frac{left(2-xright) times left(9-3xright)♫2-x!

2times left(2-xright)={frac {left(2-xright)times left(9-3xright)}{2-x}},

 2 = left(frac{9-3x♫2-x! right)

2=left({frac {9-3x}{2-x}}right)!

 2 = left(frac{left(3-xright) times 3♫2-x! right)

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

 2 = left(3-xright) times left(frac{3♫2-x! right)

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

 left(3-xright) times left(frac{2♫3-x! right) =
 left(3-xright) times left(frac{3♫2-x! right)

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

 frac{5♫3-x! = frac{3♫2-x!

{frac {5}{3-x}}={frac {3}{2-x}},

 sum_i=1?(i = frac{n+1♫2! n

sum _{{i=1}}^{n}i={frac {n+1}{2}}n,

 sideset {cHFFFFFF}llcorner^ulcorner***lrcorner^urcorner! {operatorname{♪ simeq 3{,!14159265!

{displaystyle sideset {_{llcorner }^{ulcorner }}{_{lrcorner }^{urcorner }}{operatorname {pi simeq 3{,}14159265} }}

 overline{overline{VI! overline{CCXXXIV! {DLXVII! =
6_1! 234_.! 567

overline {overline {VI}}overline {CCXXXIV}{DLXVII}=6_{{_{{1}}}}234_{{.}}567

 SO_2 + NO_2
 longrightarrow ;NO + SO_3

SO_{2}+NO_{2}longrightarrow ;NO+SO_{3}

 overbrace{ underbrace{ sin(x) cos(y) ♪T_1! underbrace{+ 35 ,x ♪T_2! underbrace{- x^3 and^4 ♪T_3! ***First ; member!=
 overbrace{ underbrace{ log(2xx)^(3)^{2y! ♪T_1! underbrace{- x^3 (y^2 -5) ♪T_2! ***Second ; member!

overbrace {underbrace {sin(x)cos(y)}_{{T_{1}}}underbrace {+35,xy}_{{T_{2}}}underbrace {-x^{3}y^{4}}_{{T_{3}}}}^{{Primer;miembro}}=overbrace {underbrace {log(2x^{3})e^{{2y}}}_{{T_{1}}}underbrace {-x^{3}(y^{2}-5)}_{{T_{2}}}}^{{Segundo;miembro}}

 underbrace{ underbrace{ underbrace{ color{Red! sin(x) cos(y) ♪ color{Red! T_1! +
 underbrace{ color{Blue! 35 ,x ♪ color{Blue! T_2! -
 underbrace{ color{Green! x^3 and^4 ♪ color{Green! T_3! ♪First ; member!=
 underbrace{ underbrace{ color{Magenta! log(2xx)^(3)^{2y! ♪ color{Magenta! T_1! -
 underbrace{ color{OrangeRed! x^3 (y^2 -5) ♪ color{OrangeRed! T_2! ♪Second ; member! ♪Equaci acute{or! n!

underbrace {underbrace {underbrace {color {Red}sin(x)cos(y)}_{{color {Red}T_{1}}}+underbrace {color {Blue}35,xy}_{{color {Blue}T_{2}}}-underbrace {color {Green}x^{3}y^{4}}_{{color {Green}T_{3}}}}_{{Primer;miembro}}=underbrace {underbrace {color {Magenta}log(2x^{3})e^{{2y}}}_{{color {Magenta}T_{1}}}-underbrace {color {OrangeRed}x^{3}(y^{2}-5)}_{{color {OrangeRed}T_{2}}}}_{{Segundo;miembro}}}_{{Ecuaci{acute {o}}n}}

 { color{Sepia! underset{Oraci acute{or! n! {underline{ underset{Subject! {underline{ underset{D! {underline{ Them ! ; underset{N! {underline{ and tilde{n! os ! ! ; underset{Preached! {underline{ underset{N! {underline{ drawing ! ; underset{CD! {underline{ One ; flower ! ; underset{CI! {underline{ for ; the ; teacher ! ; underset{CCL! {underline{ in; the ; notebook ! ! ! !

{color {Sepia}{underset {Oraci{acute {o}}n}{underline {{underset {Sujeto}{underline {{underset {D}{underline {Los}}};{underset {N}{underline {ni{tilde {n}}os}}}}}};{underset {Predicado}{underline {{underset {N}{underline {dibujan}}};{underset {CD}{underline {una;flor}}};{underset {CI}{underline {para;la;maestra}}};{underset {CCL}{underline {en;el;cuaderno}}}}}}}}}}

 cfrac { cfrac{5x^3 + 2x^2 - 3x-5♫x^2 + 6x + 3! ! { cfrac{2x^2 + 3♫x -2! ! = cfrac { (5xx)^3 + 2x^2 - 3x-5)(x -2) ! { (xx)^2 + 6x +3)(2x^2 + 3) ! = cfrac{5x^4+8x^3-7x^2+x+10♫2x^4+12x^3+9x^2+18x+9!

{cfrac {{cfrac {5x^{3}+2x^{2}-3x-5}{x^{2}+6x+3}}}{{cfrac {2x^{2}+3}{x-2}}}}={cfrac {(5x^{3}+2x^{2}-3x-5)(x-2)}{(x^{2}+6x+3)(2x^{2}+3)}}={cfrac {5x^{4}+8x^{3}-7x^{2}+x+10}{2x^{4}+12x^{3}+9x^{2}+18x+9}}

 left.
 begin{matrix! vec{v! = cfrac{dvec{r♪dt! =
V_0x!hat{imath!+(V)_0y!-gt)hat{jmath! ♪ vec{r!= ===============================================================================================================================================================================================================================================================_0hat{imath! + and_0hat{jmath! end{matrix! right ♪ longrightarrow quad vec{r! =
(V)_0x! ; {t! +_0), hat{imath! +
 left(- frac{1♫2! g {t^2! +
V_0y! ; t+ and_0 right) , hat{jmath!

left.{begin{matrix}{vec {v}}={cfrac {d{vec {r}}}{dt}}=V_{{0x}}{hat {imath }}+(V_{{0y}}-gt){hat {jmath }}\{vec {r}}(0)=x_{0}{hat {imath }}+y_{0}{hat {jmath }}end{matrix}}right}longrightarrow quad {vec {r}}=(V_{{0x}};{t}+x_{0}),{hat {imath }}+left(-{frac {1}{2}}g{t^{2}}+V_{{0y}};t+y_{0}right),{hat {jmath }}

 { color{Green! left.
 begin{array♫rcl! cfrac{dvec{r♪dt! = " vec{v! " =
 { color{Red! V_0x! hat{imath! ! +
 { color{Blue!(V)_0y!-gt)hat{jmath! ! ♪ " vec{r!(0) " =
 { color{Red!x_0 hat{imath! ! +
 { color{Blue!and_0 hat{jmath! ! end{array! right ♪ longrightarrow quad vec{r! =
 { color{Red!(V)_0x! ; {t! +_0) , hat{imath! ! +
 { color{Blue!left(- frac{1♫2! g {t^2! + V_0y! ; t+ and_0 right) , hat{jmath! ! !

{color {Green}left.{begin{array}{rcl}{cfrac {d{vec {r}}}{dt}}=&{vec {v}}&={color {Red}V_{{0x}}{hat {imath }}}+{color {Blue}(V_{{0y}}-gt){hat {jmath }}}\&{vec {r}}(0)&={color {Red}x_{0}{hat {imath }}}+{color {Blue}y_{0}{hat {jmath }}}end{array}}right}longrightarrow quad {vec {r}}={color {Red}(V_{{0x}};{t}+x_{0}),{hat {imath }}}+{color {Blue}left(-{frac {1}{2}}g{t^{2}}+V_{{0y}};t+y_{0}right),{hat {jmath }}}}

In Spanish

CervanTeX, Hispanic-speaking TeX users group (broken link)
TheTeX for inexperiences (broken link)
Tutorial Latex Formulas.

In English

PDF document on TeX
List of TeX entities
AMS-LaTeX

In Japanese

Allows to compile an online document in TeX

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