Se kilde til Hjælp:Formatering med opmærkningskoder

Videnskabelige symboler og formler på Wikipedia skrives bedst ved hjælp af opmærkningskoderne '''<nowiki><math>...</math></nowiki>''' og '''<nowiki><chem>...</chem></nowiki>'''. I det følgende er den vigtigste syntaks gennemgået.

Som forlæg er brugt https://www.mediawiki.org/wiki/Extension:Math/Help:Formula#Basics.

Se også [[Wikipedia:Videnskabelig notation]] for information om korrekt videnskabelig notation og formatering.

Mange koder er overtaget fra LaTeX, se Scott Pakin, ''The Comprehensive LaTeX Symbol List'' [https://tug.ctan.org/info/symbols/comprehensive/symbols-a4.pdf], 2017, som anfører tusindvis af symboler og deres tilhørende LaTeX-kommando. Som det fremgår af nedenstående anerkendeses \degree og \dprime ikke af <nowiki><math></nowiki>.

==Eksempler på elementære udtryk og formler== 

{| class="wikitable"
|-
! Wikipedia kode 
! Resultat
|-
| <code><nowiki><math>\alpha</math></nowiki></code>
| <math>\alpha</math>
|-
| <code><nowiki><math>\sqrt{81} = 9</math></nowiki></code>
| <math>\sqrt{81} = 9</math>
|-
| <code><nowiki><math> f(x) = x^2 + 3\cdot x</math></nowiki></code>
| <math> f(x) = x^2 + 3\cdot x</math>
|-
| <code><nowiki><math>\sqrt{1-e^2}</math></nowiki></code>
| <math>\sqrt{1-e^2}</math>
|-
| <code><nowiki><math>\Omega_\text{cirkel} = \frac {2 \cdot \pi }{P}</math></nowiki></code>
| <math>\Omega_\text{cirkel} = \frac {2 \cdot \pi }{P}</math>
|-
| <code><nowiki><math>x_{1,2} = \frac {-b \pm \sqrt{d} }{2 \cdot a}</math></nowiki></code>
| <math>x_{1,2} = \frac {-b \pm \sqrt{d} }{2 \cdot a}</math>
|-
| <code><nowiki><math>\exist \, \alpha \in\mathbb{R} \text{ : } \varphi(x)=\alpha</math></nowiki></code>
| <math>\exist \, \alpha \in\mathbb{R} \text{ : } \varphi(x)=\alpha</math>
|-
| <code><nowiki><math>\int_0^\infty e^{-x^2}\textrm{d}x=\frac{\sqrt{\pi}}{2}</math></nowiki></code>
| <math>\int_0^\infty \text {e}^{-x^2}\textrm{d}x=\frac{\sqrt{\pi}}{2}</math>
|-
| <code><nowiki><math>\alpha</math> = 6<sup>h </sup>12<sup>m </sup>34.5<sup>s</sup></nowiki></code>
<code><nowiki><math>\alpha = 6^\textrm{h} 45^\textrm{
m} 08.917^\textrm{s}</math></nowiki></code>
| <math>\alpha</math> = 6<sup>h </sup>12<sup>m  </sup>34.5<sup>s</sup>
<math>\alpha = 6^\textrm{h} 45^\textrm{
m} 08.917^\textrm{s}</math>

|-
| <code><nowiki><math>\delta</math> = <math>-</math>67&deg; 12&prime; 34.07&Prime;

<math>\delta = -67^\circ 12' 34.07''</math>

<math>\delta = -67^\circ 12^\prime 34.07^{\prime\prime}</math>

<math>\delta = -67</math>&deg; <math>12</math>&prime; <math>34.07</math>&Prime;</nowiki></code>
|<math>\delta</math> = <math>-</math>67&deg; 12&prime; 34.07&Prime;

<math>\delta = -67^\circ 12' 34.07''</math>

<math>\delta = -67^\circ 12^\prime 34.07^{\prime\prime}</math>

<math>\delta = -67</math>&deg; <math>12</math>&prime; <math>34.07</math>&Prime;
|-
| <math>^\prime</math> <math> ^\backprime</math> <math>\degree</math> <math>\dprime</math> <math>\tprime</math> <math>\qprime</math>
|-
|<code><nowiki><math>F_\odot \ \mathrm M _\odot\ \mathrm R _\odot\ \mathrm L _\odot</math></nowiki></code>
|<math>F_\odot \ \mathrm M _\odot\ \mathrm R _\odot\ \mathrm L _\odot</math> 
|-
| <code><nowiki><chem>H2SO4</chem></nowiki></code>
| <chem>H2SO4</chem>
|-
|<code><nowiki><chem>NaCl + AgNO3 -> NaNO3 + AgCl(v)</chem></nowiki></code>
|<chem>NaCl + AgNO3 -> NaNO3 + AgCl(v)</chem>
|}

== Græske bogstaver ==

{| class="wikitable"
|+ '''Klassiske græske bogstaver'''
|-
! '''Bogstav''' !! '''<code><nowiki><math>...</math></nowiki></code> syntaks''' !! '''Resultat'''
|-
| Alfa || <nowiki><math>\alpha </math>, <math>\Alpha </math></nowiki> ||align=center| <math>\alpha </math>, <math>\Alpha </math>
|-
| Beta || <nowiki><math>\beta </math>, <math>\Beta </math></nowiki> ||align=center| <math>\beta </math>, <math>\Beta </math> 
|-
| Gamma || <nowiki><math>\gamma </math>, <math>\Gamma </math></nowiki>||align=center| <math>\gamma </math>, <math>\Gamma </math> 
|-
| Delta || <nowiki><math>\delta </math>, <math>\Delta </math></nowiki>||align=center| <math>\delta </math>, <math>\Delta </math> 
|-
| Epsilon || <nowiki><math>\varepsilon </math>, <math>\Epsilon </math></nowiki> ||align=center| <math>\varepsilon </math>, <math>\Epsilon </math> 
|-
| Zeta || <nowiki><math>\zeta </math>, <math>\Zeta </math></nowiki> ||align=center| <math>\zeta </math>, <math>\Zeta </math> 
|-
| Eta || <nowiki><math>\eta </math>, <math>\Eta </math></nowiki> ||align=center| <math>\eta </math>, <math>\Eta </math> 
|-
| Theta || <nowiki><math>\theta </math>, <math>\Theta </math></nowiki> ||align=center| <math>\theta </math>, <math>\Theta </math> 
|-
| Iota || <nowiki><math>\iota </math>, <math>\Iota </math></nowiki> ||align=center| <math>\iota </math>, <math>\Iota </math> 
|-
| Kappa || <nowiki><math>\kappa </math>, <math>\Kappa </math></nowiki> ||align=center| <math>\kappa </math>, <math>\Kappa </math> 
|-
| Lambda || <nowiki><math>\lambda </math>, <math>\Lambda </math></nowiki>||align=center| <math>\lambda </math>, <math>\Lambda </math> 
|-
| My || <nowiki><math>\mu </math>, <math>\Mu </math></nowiki>||align=center| <math>\mu </math>, <math>\Mu </math> 
|-
| Ny || <nowiki><math>\nu </math>, <math>\Nu </math></nowiki>||align=center| <math>\nu </math>, <math>\Nu </math> 
|-
| Xi || <nowiki><math>\xi </math>, <math>\Xi </math></nowiki>||align=center| <math>\xi </math>, <math>\Xi </math> 
|-
| Omikron || <nowiki><math>\omicron </math>, <math>\Omicron </math></nowiki>||align=center| <math>\omicron </math>, <math>\Omicron </math> 
|-
| Pi || <nowiki><math>\pi </math>, <math>\Pi </math></nowiki>||align=center| <math>\pi </math>, <math>\Pi </math> 
|-
| Rho || <nowiki><math>\rho </math>, <math>\Rho </math></nowiki>||align=center| <math>\rho </math>, <math>\Rho </math> 
|-
| Sigma || <nowiki><math>\sigma </math>, <math>\Sigma </math></nowiki>||align=center| <math>\sigma </math>, <math>\Sigma </math> 
|-
| Tau || <nowiki><math>\tau </math>, <math>\Tau </math></nowiki>||align=center| <math>\tau </math>, <math>\Tau </math>
|-
| Ypsilon || <nowiki><math>\upsilon </math>, <math>\Upsilon </math></nowiki>||align=center| <math>\upsilon </math>, <math>\Upsilon </math> 
|-
| Phi || <nowiki><math>\varphi </math>, <math>\Phi </math></nowiki>||align=center| <math>\varphi </math>, <math>\Phi </math> 
|-
| Chi || <nowiki><math>\chi </math>, <math>\Chi </math></nowiki>||align=center| <math>\chi </math>, <math>\Chi </math> 
|-
| Psi || <nowiki><math>\psi </math>, <math>\Psi </math></nowiki>||align=center| <math>\psi </math>, <math>\Psi </math> 
|-
| Omega || <nowiki><math>\omega </math>, <math>\Omega </math></nowiki>||align=center| <math>\omega </math>, <math>\Omega </math> 
|-
|}

{| class="wikitable"
|+ '''Varianter'''
|-
! '''Bogstav''' !!  '''<code><nowiki><math>...</math></nowiki></code> syntaks''' !! '''Resultat'''
|-
| Epsilon, variant || <nowiki><math>\epsilon </math></nowiki>||align=center| <math>\epsilon </math>
|-
| Theta, variant || <nowiki><math>\vartheta </math></nowiki>||align=center| <math>\vartheta </math>
|-
| Kappa, variant || <nowiki><math>\varkappa </math></nowiki>||align=center| <math>\varkappa </math>
|-
| Pi, variant || <nowiki><math>\varpi </math></nowiki>||align=center| <math>\varpi </math>
|-
| Rho, variant || <nowiki><math>\varrho </math></nowiki>||align=center| <math>\varrho </math>
|-
| Sigma, variant || <nowiki><math>\varsigma </math></nowiki>||align=center| <math>\varsigma </math>
|-
| Phi, variant || <nowiki><math>\phi </math></nowiki>||align=center| <math>\phi </math>
|}

== Hebræiske bogstaver ==

{| class="wikitable"
|+ '''Kun de fire første bruges matematisk'''
|-
! Bogstaver !! '''<code><nowiki><math>...</math></nowiki></code> syntaks''' !! '''Resultat'''
|-
| Alef, beth, gimel, daleth || <nowiki><math>\aleph, \beth, \gimel, \daleth </math></nowiki> ||align=center| <math>\aleph, \beth, \gimel, \daleth </math>
|}

== Skriftsnit ==

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Fed skrift (boldface)
|<code><nowiki> \mathbf {abcxyzABCXYZ123} </nowiki></code>
|<math> \mathbf {abcxyzABCXYZ123} </math>
|-
| Skråskrift (italics)
|<code><nowiki> \mathit {abcxyzABCXYZ123} </nowiki></code>
|<math> \mathit {abcxyzABCXYZ123} </math>
|-
| Dobbeltstreg (blackboard)
|<code><nowiki> \mathbb {abcxyzABCXYZ123} </nowiki></code>
|<math>\mathbb {abcxyzABCXYZ123} </math>
|-
| Roman
|<code><nowiki> \mathrm {abcxyzABCXYZ123} </nowiki></code>
|<math>\mathrm {abcxyzABCXYZ123} </math>
|-
| Sans serif
|<code><nowiki> \mathsf {abcxyzABCXYZ123} </nowiki></code>
|<math>\mathsf {abcxyzABCXYZ123} </math>
|-
| Kaligrafi
|<code><nowiki> \mathcal {abcxyzABCXYZ123} </nowiki></code>
|<math>\mathcal {abcxyzABCXYZ123} </math>
|-
| Fraktur
|<code><nowiki> \mathfrak {abcxyzABCXYZ123} </nowiki></code>
|<math> \mathfrak {abcxyzABCXYZ123} </math>
|-
| Formindskede typer
|<code><nowiki> {\scriptstyle\text{abcxyzABCXYZ123}} </nowiki></code>
|<math> {\scriptstyle\text{abcxyzABCXYZ123}} </math>
|-
| Blandede skriftsnit<br />Skråskrift<br />Opret skrift<br />Blanding
|<br /><code><nowiki> xyz\ x\ y\ z </nowiki><br /><nowiki>\text{xyz x y z} </nowiki><br /><nowiki> \text{Hvis }n\text{ er ulige...} </nowiki></code>
|<br /><math> xyz\ x\ y\ z </math><br /><math>\text{xyz x y z} </math><br /><math>\text{Hvis }n\text{ er ulige...} </math>
|-
| Farvet tekst
|<code><nowiki> {\color{Blue}x^2}+{\color{Orange}2\cdot x}-{\color{LimeGreen}1} </nowiki></code>
|<math> {\color{Blue}x^2}+{\color{Orange}2\cdot x}-{\color{LimeGreen}1} </math>
|}

== Foruddefinerede farver ==

Nedenstående farvenavne er foruddefinerede:

{| class="wikitable"
|-
| <math>\color{Blue}{Blue}</math> || <math>\color{BlueGreen}{BlueGreen}</math> || <math>\color{BlueViolet}{BlueViolet}</math> || <math>\color{BrickRed}{BrickRed}</math> || <math>\color{Brown}{Brown} </math>
| <math>\color{BurntOrange}{BurntOrange}</math> || <math>\color{CadetBlue}{CadetBlue}</math> ||<math>\color{CarnationPink}{CarnationPink}</math>
|-
| <math>\color{DarkOrchid}{DarkOrchid}</math> ||<math>\color{Emerald}{Emerald}</math> || <math>\color{ForestGreen}{ForestGreen}</math>  || <math>\color{Fuchsia}{Fuchsia}</math>  || <math>\color{Mahogany}{Mahogany}</math> || <math>\color{Maroon}{Maroon}</math> || <math>\color{Melon}{Melon}</math> ||<math>\color{MidnightBlue}{MidnightBlue}</math>
|-
| <math>\color{Mulberry}{Mulberry}</math> ||<math>\color{NavyBlue}{NavyBlue}</math> || <math>\color{OliveGreen}{OliveGreen}</math>  || <math>\color{Orange}{Orange}</math>  || <math>\color{OrangeRed}{OrangeRed}</math> || <math>\color{Orchid}{Orchid}</math> || <math>\color{Peach}{Peach}</math> ||<math>\color{Periwinkle}{Periwinkle}</math>
|-
| <math>\color{PineGreen}{PineGreen}</math> ||<math>\color{Plum}{Plum}</math> || <math>\color{ProcessBlue}{ProcessBlue}</math>  || <math>\color{Purple}{Purple}</math>  || <math>\color{RawSienna}{RawSienna}</math> || <math>\color{Red}{Red}</math> || <math>\color{RedOrange}{RedOrange}</math> ||<math>\color{RedViolet}{RedViolet}</math>
|-
| <math>\color{Rhodamine}{Rhodamine}</math> ||<math>\color{RoyalBlue}{RoyalBlue}</math> || <math>\color{RoyalPurple}{RoyalPurple}</math>  || <math>\color{RubineRed}{RubineRed}</math>  || <math>\color{Salmon}{Salmon}</math> || <math>\color{SeaGreen}{SeaGreen}</math> ||<math>\color{Sepia}{Sepia}</math> || <math>\color{SkyBlue}{SkyBlue}</math>
|}

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Kodeeksempel til brug ved farver i formler
|<code><nowiki>{\color{Green} p}^2 + 2 \cdot {\color{Green} p} \cdot {\color{Red} q} + {\color{Red} q}^2 = ({\color{NavyBlue} p + q})^2</nowiki></code>
|<math>{\color{Green} p}^2 + 2 \cdot {\color{Green} p} \cdot {\color{Red} q} + {\color{Red} q}^2 = ({\color{NavyBlue} p + q})^2</math>
|-
| Kodeeksempel med brug af selvdefineret farve
|<code><nowiki>\definecolor{orange}{RGB}{255,165,100}\color{orange}\mathrm e^{\mathrm i \cdot \pi}\color{Black} + 1 = 0 </nowiki></code>
|<math>\definecolor{orange}{RGB}{255,165,100}\color{orange}\mathrm e^{\mathrm i \cdot \pi}\color{Black} + 1 = 0</math>
|}

== Nummerering og bokse ==
Har en artikel mange ligninger, fx i en udledning, kan den blive uoverskuelig. Ved at nummere ligninger er det nemmere at refere til dem i teksten. Hvis en ligning er central for artiklens emne, kan den fremhæves med en boks.
{| class="wikitable"
|-
! Wikipedia kode 
! Resultat
|-
| <code><nowiki>{{NumBlk|:|<math>c^2=a^2+b^2</math>|{{EquationRef|1}}}}</nowiki></code>
| {{NumBlk|:|<math>c^2=a^2+b^2</math>|{{EquationRef|1}}}}
|-
| <code><nowiki>{{Equation box 1</nowiki></code><br />
<code><nowiki>|title=</nowiki></code><br />
<code><nowiki>|indent=:</nowiki></code><br />
<code><nowiki>|equation=<math>c^2=a^2+b^2</math></nowiki></code><br />
<code><nowiki>|cellpadding = 6</nowiki></code><br />
<code><nowiki>|border = 1</nowiki></code><br />
<code><nowiki>|border colour = black</nowiki></code><br />
<code><nowiki>|background colour=white}}</nowiki></code>
| 
{{Equation box 1
|title=
|indent=:
|equation=<math>c^2=a^2+b^2</math>
|cellpadding = 6
|border = 1
|border colour = black
|background colour=white}}
|-
| <code><nowiki>{{Equation box 1</nowiki></code><br />
<code><nowiki>|title=</nowiki></code><br />
<code><nowiki>|indent=:</nowiki></code><br />
<code><nowiki>|equation={{NumBlk|:|<math>c^2=a^2+b^2</math>|{{EquationRef|1}}}}</nowiki></code><br />
<code><nowiki>|cellpadding = 6</nowiki></code><br />
<code><nowiki>|border = 1</nowiki></code><br />
<code><nowiki>|border colour = black</nowiki></code><br />
<code><nowiki>|background colour=white}}</nowiki></code>
| 
{{Equation box 1
|title=
|indent=:
|equation={{NumBlk|:|<math>c^2=a^2+b^2</math>|{{EquationRef|1}}}}
|cellpadding = 6
|border = 1
|border colour = black
|background colour=white}}
|}

== Matematiske formler ==
=== Regneoperationer og formateringstegn ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Brøker
|<code><nowiki> \frac {a}{b} \textstyle \frac {a}{b} </nowiki></code>
|<math> \frac {a}{b} \textstyle \frac {a}{b} </math>
|-
| Regneoperationer<br />Fortegn<br />(U)ligheder
|<code><nowiki>+, -, \cdot, /, \times</nowiki></code><br /><code><nowiki>\pm, \mp</nowiki></code><br /><code><nowiki>=, \neq, \equiv, \not\equiv, \approx, \sim, \propto</nowiki></code><br /><code><nowiki>\ll, \gg, \le, \ge, \leqq, \geqq</nowiki></code>
|<math>+, -, \cdot, /, \times</math><br /><math>\pm, \mp</math><br /><math>=, \neq, \equiv, \not\equiv, \approx, \sim, \propto</math><br /><math>\ll, \gg, \le, \ge, \leqq, \geqq</math>
|-
| Rodsymboler
|<code><nowiki>\surd, \sqrt{42}, \sqrt[n]{x}, \sqrt{ \frac {a}{b}}, \sqrt[3]{ \frac {x^3+y^3}{2}} </nowiki></code>
|<math>\surd, \sqrt{42}, \sqrt[n]{x}, \sqrt{ \frac {a}{b}}, \sqrt[3]{ \frac {x^3+y^3}{2}} </math>
|-
| Modulus aritmetik
|<code><nowiki>s_k \equiv 0 \pmod{m}, a\,\bmod\,b, 
\mid, \nmid, 
\gcd(m, n), \operatorname{lcm}(m, n),
\operatorname{SFD}(m, n), \operatorname{MFM}(m, n) </nowiki></code>
|<math>s_k \equiv 0 \pmod{m}, a\,\bmod\,b, \mid, \nmid,</math><br /><math>\gcd(m, n), \operatorname{lcm}(m, n),</math><br /><math>\operatorname{SFD}(m, n), \operatorname{MFM}(m, n) </math>
|-
| Mellemrum, bredt
|<code><nowiki>a \qquad b \qquad c \qquad d </nowiki></code>
|<math>a \qquad b \qquad c \qquad d</math>
|-
| Mellemrum, stort
|<code><nowiki>a \quad b \quad c \quad d </nowiki></code>
|<math>a \quad b \quad c \quad d \quad e </math>
|-
| Mellemrum, øget
|<code><nowiki>a\; b\; c\; d\; e\; f\; g\  \mathrm U </nowiki></code>
|<math>a\; b\; c\; d\; e\; f\; g\ </math>
|-
| Mellemrum, standard
|<code><nowiki>a\ b\ c\ d\ e\ f\ g\ </nowiki></code>
|<math>a\ b\ c\ d\ e\ f\ g\ </math>
|-
| Mellemrum, smalt
|<code><nowiki>a\, b\, c\, d\, e\, f\, g\ </nowiki></code>
|<math>a\, b\, c\, d\, e\, f\, g\, </math>
|-
| Mellemrum, intet
|<code><nowiki>abc defg </nowiki></code>
|<math>abc defg </math>
|-
| Mellemrum, negativt
|<code><nowiki>a\! b\! c\! d\! e\! f\! g\! </nowiki></code>
|<math>a\! b\! c\! d\! e\! f\! g\!</math>
|}

=== Hævet og sænket skrift ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Hævet
|<code><nowiki>{10}^{8} \; {\mathrm m}^{2}</nowiki></code>
|<math>{10}^{8} \; {\mathrm m}^{2}</math>
|-
| Sænket
|<code><nowiki>R_\text{Jupiter}</nowiki></code>
|<math>R_\text{Jupiter}</math>
|-
| Hævet og sænket
|<code><nowiki>\mathrm R  {}^{\mathrm N}_{\text{⊙}} \; {}^{238}_{\ 92} \mathrm U </nowiki></code>
|<math>\mathrm R  {}^{\mathrm N}_{\text{⊙}} \; {}^{238}_{\ 92} \mathrm U </math>
|-
| Hævet og sænket
|<code><nowiki><math>F_\odot = \sigma \cdot T_{\text{eff}, \odot}^4 = 6.316 \cdot 10^7 \; \text{W/m}^{-2}</math> </nowiki></code>
|<math>F_\odot = \sigma \cdot T_{\text{eff}, \odot}^4 = 6.316 \cdot 10^7 \; \text{W/m}^{-2}</math>
|}

=== Afgrænsere ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Stor parentes
|<code><nowiki>\left ( \frac{1}{2} \right ) </nowiki><br /><nowiki>\left ( \frac{a}{b} \right )^2 </nowiki></code>
|<math>\left ( \frac{1}{2} \right ) \quad \left ( \frac{a}{b} \right )^2 </math>
|-
| Lille parentes
|<code><nowiki>\left ( \tfrac{1}{2} \right ) </nowiki><br /><nowiki>\left ( \tfrac{a}{b} \right )^2 </nowiki></code>
|<math>\left ( \tfrac{1}{2} \right ) \quad \left ( \tfrac{a}{b} \right )^2 </math>
|-
| Skarp parentes
|<code><nowiki>\left [ \frac{a}{b} \right ] </nowiki><br /><nowiki>\left \lbrack \frac{a}{b} \right \rbrack </nowiki></code>
|<math>\left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack </math>
|-
| Tuborg-parentes
|<code><nowiki>\left \{ \frac{a}{b} \right \} </nowiki><br /><nowiki>\left \lbrace \frac{a}{b} \right \rbrace </nowiki></code>
|<math>\left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace </math>
|-
| Vinkel-parentes
|<code><nowiki>\left \langle \frac{a}{b} \right \rangle </nowiki></code>
|<math>\left \langle \frac{a}{b} \right \rangle </math>
|-
| Normtegn
|<code><nowiki>\left | \frac{a}{b} \right | </nowiki><br /><nowiki>\left \Vert \frac{c}{d} \right \Vert </nowiki></code>
|<math>\left | \frac{a}{b} \right | \quad \left \Vert \frac{c}{d} \right \Vert </math>
|-
| Gulv og loft
|<code><nowiki>\left \lfloor \frac{a}{b} \right \rfloor </nowiki><br /><nowiki>\left \lceil \frac{c}{d} \right \rceil </nowiki></code>
|<math>\left \lfloor \frac{a}{b} \right \rfloor \quad \left \lceil \frac{c}{d} \right \rceil </math>
|-
| Skråstreger
|<code><nowiki>\left / \frac{a}{b} \right \backslash</nowiki></code>
|<math>\left / \frac{a}{b} \right \backslash </math>
|-
| Pil op og ned
|<code><nowiki>\left \uparrow \frac{a}{b} \right \downarrow </nowiki><br /><nowiki>\left \Uparrow \frac{a}{b} \right \Downarrow </nowiki><br /><nowiki>\left \updownarrow \frac{a}{b} \right \Updownarrow </nowiki></code>
|<math>\left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow </math>
|-
| Blanding
|<code><nowiki>\left \langle \psi \right | \quad \left \langle \psi \right | \chi \rangle </nowiki></code>
|<math>\left \langle \psi \right | \quad \left \langle \psi \right | \chi \rangle </math>
|-
| Udeladelse
|<code><nowiki>\left \{ \frac{A}{B} \right \} \to X </nowiki><br /><nowiki>\left . \frac{A}{B} \right \} \to X </nowiki></code>
|<math>\left \{ \frac{A}{B} \right \} \to X \quad \left . \frac{A}{B} \right \} \to X </math>
|-
| rowspan="7" | Store<br />begrænsere
|<code><nowiki>\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big] </nowiki></code>
|<math>\big( \Big( \bigg( \Bigg( \dots \Bigg] \bigg] \Big] \big] </math>
|-
|<code><nowiki>\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle </nowiki></code>
|<math>\big\{ \Big\{ \bigg\{ \Bigg\{ \dots \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle </math>
|-
|<code><nowiki>\big| \Big| \bigg| \Bigg| \dots \Bigg\| \bigg\| \Big\| \big\| </nowiki></code>
|<math>\big| \Big| \bigg| \Bigg| \dots \Bigg\| \bigg\| \Big\| \big\| </math>
|-
|<code><nowiki>\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil </nowiki></code>
|<math>\big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor \dots \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil </math>
|-
|<code><nowiki>\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow </nowiki></code>
|<math>\big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow \dots \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow </math>
|-
|<code><nowiki>\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow </nowiki></code>
|<math>\big\updownarrow \Big\updownarrow \bigg\updownarrow \Bigg\updownarrow \dots \Bigg\Updownarrow \bigg\Updownarrow \Big\Updownarrow \big\Updownarrow </math>
|-
|<code><nowiki>\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash </nowiki></code>
|<math>\big / \Big / \bigg / \Bigg / \dots \Bigg\backslash \bigg\backslash \Big\backslash \big\backslash </math>
|}

=== Mængder og logik ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Talmængder<br />Naturlige tal, hele tal, [[rationale tal]], [[reelle tal]], [[komplekse tal]], [[kvaternioner]]
|<code><nowiki>\mathbb{N}, \mathbb{Z}, \mathbb{Z}_+, \mathbb{Z}_-, \mathbb{Q}, \mathbb{Q}_+, \mathbb{Q}_-,\mathbb{R}, \mathbb{R}_+, \mathbb{R}_-, \mathbb{C}, \mathbb{H}</nowiki></code>
|<math>\mathbb{N}, \mathbb{Z}, \mathbb{Z}_+, \mathbb{Z}_-, \mathbb{Q}, \mathbb{Q}_+, \mathbb{Q}_-,\mathbb{R}, \mathbb{R}_+, \mathbb{R}_-, \mathbb{C}, \mathbb{H}</math>
|-
| Mængdesymboler, uendelig
|<code><nowiki>[ ], \{ \}, |, \empty, \varnothing, \in, \not\in, \ni, \not\ni, \infty</nowiki></code>
|<math>[ ], \{ \}, |, \empty, \varnothing, \in, \not\in, \ni, \not\ni, \infty</math>
|-
| Kombination af ovenstående
|<code><nowiki>z \in \mathbb{C} \setminus \{ \tfrac{\pi}{2} + p \cdot \pi \, | \, p \in \mathbb{Z} \}</nowiki></code>
|<math>z \in \mathbb{C} \setminus \{ \tfrac{\pi}{2} + p \cdot \pi \, | \, p \in \mathbb{Z} \}</math>
|-
| Mængdeoperationer: Fællsesmængde, foreningsmængde, mængdedifferens, produktmængde, komplementærmængde
|<code><nowiki>\cap, \bigcap, \cup, \bigcup, \setminus, \times, \complement </nowiki></code>
|<math>\cap, \bigcap, \cup, \bigcup, \setminus, \times, \complement </math>
|-
| Inklusionstegn
|<code><nowiki>\subset, \supset, \subseteqq, \nsubseteqq, \supseteqq, \nsupseteqq </nowiki></code>
|<math>\subset, \supset, \subseteqq, \nsubseteqq, \supseteqq, \nsupseteqq </math>
|-
| Logiksymboler
|<code><nowiki>\forall, \exists, \nexists, \or, \and, \neg, \bot, \top </nowiki></code>
|<math>\forall, \exists, \nexists, \or, \and, \neg, \bot, \top </math>
|-
| Implikationer
|<code><nowiki>\Rightarrow, \nRightarrow, \Leftarrow, \nLeftarrow, \Leftrightarrow, \nLeftrightarrow, \Uparrow, \Downarrow, \Updownarrow </nowiki></code>
|<math>\Rightarrow, \nRightarrow, \Leftarrow, \nLeftarrow, \Leftrightarrow, \nLeftrightarrow, \Uparrow, \Downarrow, \Updownarrow </math>
|}

=== Funktioner ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Trigonometriske funktioner
|<code><nowiki>\sin (x), \cos (x), \tan (x), \cot (x), \sec (x), \csc (x) </nowiki></code>
|<math>\sin (x), \cos (x), \tan (x), \cot (x), \sec (x), \csc (x) </math>
|-
| Arcusfunktioner
|<code><nowiki>\arcsin (x), \arccos (x), \arctan (x) </nowiki></code>
|<math>\arcsin (x), \arccos (x), \arctan (x) </math>
|-
| Eksponential- og logaritmefunktioner
|<code><nowiki>\exp (x) = e^x, \exp_a (x) = a^x, 10^x, \ln (x), \log (x), \log_{10} (x) </nowiki></code>
|<math>\exp (x) = e^x, \exp_a (x) = a^x, 10^x, \ln (x), \log (x), \log_{10} (x)</math>
|-
| Funktioner som "math" ikke kender
|<code><nowiki>\operatorname{cis}\,(x)
\operatorname{ArctanXY}\,(x,y)</nowiki></code>
|<math>\operatorname{cis}\,(x)</math>
<math>\operatorname{ArctanXY}\,(x,y)</math>
|-
| Hyperbolske funktioner
|<code><nowiki>\sinh (x), \cosh (x), \tanh (x), \coth (x) </nowiki></code>
|<math>\sinh (x), \cosh (x), \tanh (x), \coth (x)</math>
|-
| Areafunktioner
|<code><nowiki>\operatorname{arsinh}\,(x), \operatorname{arcosh}\,(x), \operatorname{artanh}\,(x), \operatorname{arcoth}\,(x)</nowiki></code>
|<math>\operatorname{arsinh}\,(x), \operatorname{arcosh}\,(x), \operatorname{artanh}\,(x), \operatorname{arcoth}\,(x)</math>
|-
| Minimum, maximum, infimum, supremum
|<code><nowiki>\min M, \max M, \min(x,y), \max(x,y), \inf M, \sup M </nowiki></code>
|<math>\min M, \max M, \min(x,y), \max(x,y), \inf M, \sup M</math>
|-
| Signum, norm, argument
|<code><nowiki>\sgn (x), \left\vert x \right\vert, \lVert z \rVert, \arg (z)</nowiki></code>
|<math>\sgn (x), \left\vert x \right\vert, \lVert z \rVert, \arg (z)</math>
|-
|Binomialkoefficienter
|<code><nowiki>\binom{n}{k}, \tbinom{n}{k} </nowiki></code>
|<math>\binom{n}{k}, \tbinom{n}{k} </math>
|}

=== Geometri og vektorer ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Geometriske symboler
|<code><nowiki>\parallel, \nparallel, \perp, \angle, \sphericalangle, \measuredangle, 45^\circ, \Box, \blacksquare, \bigcirc, \triangle, \blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright </nowiki></code>
|<math>\parallel, \nparallel, \perp, \angle, \sphericalangle, \measuredangle, 45^\circ, \Box, \blacksquare, \bigcirc, \triangle, \blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright </math>
|-
| Vektorer
|<code><nowiki>vec{a}, \hat{a}, \hat{\vec{a}}, \widehat{a}, \bar{a}, \bar{abc}, \overline{a}, \overline{ABC}, \overrightarrow{AB}, \widehat{\overrightarrow{AB}}, \overleftarrow{CD}, \widehat{ABC}, \parallel, \nparallel, \perp </nowiki></code>
|<math>\vec{a}, \hat{a}, \hat{\vec{a}}, \widehat{a}, \bar{a}, \bar{abc}, \overline{a}, \overline{ABC}, \overrightarrow{AB}, \widehat{\overrightarrow{AB}}, \overleftarrow{CD}, \widehat{ABC}, \parallel, \nparallel, \perp </math>
|}

=== Differential- og integralregning ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Differentialer
|<code><nowiki>\text{d}t, \partial t, \nabla\psi </nowiki></code>
|<math>\text{d}\ t, \partial t, \nabla\psi </math>
|-
| Differentialkvotienter
|<code><nowiki>\text{d} y/ \text{d} x, {\text{d} y\over\text{d} x}, \textstyle {\text{d} y\over\text{d} x}, {\partial^2\over\partial x_1\partial x_2}y </nowiki></code>
|<math>\text{d} y/ \text{d} x, {\text{d} y\over\text{d} x}, \textstyle {\text{d} y\over\text{d} x}, {\partial^2\over\partial x_1\partial x_2}y </math>
|-
| Afledede
|<code><nowiki>\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y </nowiki></code>
|<math>\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y </math>
|-
| Ubestemte integraler
|<code><nowiki>\int \cos(x) \, \text{d}x = \sin(x) + K, \iint\limits_D \, \text{d}x\,\text{d}y, \iiint\limits_E \, \text{d}x\,\text{d}y \,\text{d}z </nowiki></code>
|<math>\int \cos(x) \, \text{d}x = \sin(x) + K, </math><br />
<math>\iint\limits_D \, \text{d}x\,\text{d}y, \iiint\limits_E \, \text{d}x\,\text{d}y \,\text{d}z </math>
|-
| Bestemte integraler<br />Sidestil
|<code><nowiki>\int\limits_{1}^{3}\frac{\text{e}^3}{x^2}\, \text{d}x, \int_{1}^{3}\frac{\text{e}^3}{x^2}\, \text{d}x </nowiki></code>
|<math>\int\limits_{1}^{3}\frac{\text{e}^3}{x^2}\, \text{d}x, \int_{1}^{3}\frac{\text{e}^3}{x^2}\, \text{d}x </math>
|-
| Bestemte integraler<br />Linjestil
|<code><nowiki>\textstyle \int\limits_{-N}^{N} \text{e}^x\, \text{d}x, \textstyle \int_{-N}^{N} \text{e}^x\, \text{d}x</nowiki></code>
|<math>\textstyle \int\limits_{-N}^{N} \text{e}^x\, \text{d}x, \textstyle \int_{-N}^{N} \text{e}^x\, \text{d}x </math>
|}

===Formatering af ligninger===

<math>\arctan\left(\frac{1}{x}\right) = \begin{cases} \frac{\pi}{2} - \arctan(x) = \arccot(x) \, , \text{ hvis } x > 0 \\[0.3em] \\ -\frac{\pi}{2} - \arctan(x) = \arccot(x) - \pi \, , \text{ hvis } x < 0 \\[0.3em]  \end{cases}</math>

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Tuborg-parentes
|<code><nowiki>\begin{cases}
x = \cos(\theta) \cdot r \\ y = \sin(\theta) \cdot r
\end{cases}</nowiki></code>
|<math> \begin{cases}
x = \cos(\theta) \cdot r \\ y = \sin(\theta) \cdot r
\end{cases} </math>
|-
| Tuborg-funktion (3)
|<code><nowiki>f(x) = \begin{cases}
1           & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2     & \text{ellers}
\end{cases}</nowiki></code>
|<math>f(x) = \begin{cases}
1           & -1 \le x < 0 \\
\frac{1}{2} & x = 0 \\
1 - x^2     & \text{ellers}
\end{cases} </math>
|-
| Tuborg-funktion (2)
|<code><nowiki>f(n) =
\begin{cases}
\frac{n}{2},  & \text{hvis }n\text{ er lige} \\
3n+1 & \text{hvis }n\text{ er ulige}
\end{cases}</nowiki></code>
|<math> f(n) =
\begin{cases}
\frac{n}{2},  & \text{hvis }n\text{ er lige} \\
3n+1 & \text{hvis }n\text{ er ulige}
\end{cases} </math>
|-
| Tuborg-funktion (vandret)
|<code><nowiki>f(n) =\underbrace{\tfrac{n}{2}}_{\text{A}}+\underbrace{3n}_{\text{B}}</nowiki></code>
|<math>f(n) =\underbrace{\tfrac{n}{2}}_{\text{A}}+\underbrace{3n}_{\text{B}}</math>
|-
| Opstilling
|<code><nowiki>\begin{align}
u & = \tfrac{1}{\sqrt{2}}(x+y) \qquad & x &= \tfrac{1}{\sqrt{2}}(u+v) \\
v & = \tfrac{1}{\sqrt{2}}(x-y) \qquad & y &= \tfrac{1}{\sqrt{2}}(u-v)
\end{align}</nowiki></code>
|<math> \begin{align}
u & = \tfrac{1}{\sqrt{2}}(x+y) \qquad & x &= \tfrac{1}{\sqrt{2}}(u+v) \\
v & = \tfrac{1}{\sqrt{2}}(x-y) \qquad & y &= \tfrac{1}{\sqrt{2}}(u-v)
\end{align}</math>
|-
| Opstilling
|<code><nowiki> \begin{align}
f(x) & = (a + b)^2 \\
     & = a^2 + 2 \cdot a \cdot b + b^2 \\
\end{align}</nowiki></code>
|<math> \begin{align}
f(x) & = (a + b)^2 \\
     & = a^2 + 2 \cdot a \cdot b + b^2 \\
\end{align} </math>
|-
| Opstilling
|<code><nowiki> \begin{alignat}{2}
f(x) & = (a - b)^2 \\
     & = a^2 - 2 \cdot a \cdot b + b^2 \\
\end{alignat}</nowiki></code>
|<math> \begin{alignat}{2}
f(x) & = (a - b)^2 \\
     & = a^2 - 2 \cdot a \cdot b + b^2 \\
\end{alignat} </math>
|-
| Højrejusteret opstilling
|<code><nowiki>\begin{array}{lcl} f(x) & = & exprA & = & longexprB & = & exprC\\ & = & exD & = & exprE & = & exprF \\ & = & expressionG & = & exprH \end{array} </nowiki></code>
|<math>\begin{array}{lcl} f(x) & = & exprA & = & longexprB & = & exprC\\ & = & exD & = & exprE & = & exprF \\ & = & expressionG & = & exprH \end{array} </math>
|-
| Venstrejusteret opstilling
|<code><nowiki>\begin{array}{lcr} f(x) & = & exprA & = & longexprB & = & exprC\\ & = & exD & = & exprE & = & exprF \\ & = & expressionG & = & exprH \end{array} </nowiki></code>
|<math>\begin{array}{lcr} f(x) & = & exprA & = & longexprB & = & exprC\\ & = & exD & = & exprE & = & exprF \\ & = & expressionG & = & exprH \end{array} </math>
|-
| Definitioner justeret med "="
|<code><nowiki>\begin{align}
   \frac{\text {d}}{\text {d} x}\sinh x &= \cosh x \\
   \frac{\text {d}}{\text {d} x}\cosh x &= \sinh x \\
   \frac{\text {d}}{\text {d} x}\tanh x &= 1 - \tanh^2 x = \operatorname{sech}^2 x = \frac{1}{\cosh^2 x} \\ 
   \frac{\text {d}}{\text {d} x}\operatorname{arsinh} x &= \frac{1}{\sqrt{x^2+1}} \\
   \frac{\text {d}}{\text {d} x}\operatorname{arcosh} x &= \frac{1}{\sqrt{x^2 - 1}} && x > 1 \\
   \frac{\text {d}}{\text {d} x}\operatorname{artanh} x &= \frac{1}{1-x^2} && |x| < 1 \\
 \end{align}</nowiki></code>
|<math>\begin{align}
   \frac{\text {d}}{\text {d} x}\sinh x &= \cosh x \\
   \frac{\text {d}}{\text {d} x}\cosh x &= \sinh x \\
   \frac{\text {d}}{\text {d} x}\tanh x &= 1 - \tanh^2 x = \operatorname{sech}^2 x = \frac{1}{\cosh^2 x} \\ 
   \frac{\text {d}}{\text {d} x}\operatorname{arsinh} x &= \frac{1}{\sqrt{x^2+1}} \\
   \frac{\text {d}}{\text {d} x}\operatorname{arcosh} x &= \frac{1}{\sqrt{x^2 - 1}} && x > 1 \\
   \frac{\text {d}}{\text {d} x}\operatorname{artanh} x &= \frac{1}{1-x^2} && |x| < 1 \\
 \end{align}</math>
|-
| Definitioner justeret med ''array''
|<code><nowiki>\begin{array}{lcl}
   \frac{\text {d}}{\text {d} x}\sinh x & = & \cosh x \\
   \frac{\text {d}}{\text {d} x}\cosh x & = & \sinh x \\
   \frac{\text {d}}{\text {d} x}\tanh x & = & 1 - \tanh^2 x = \operatorname{sech}^2 x = \frac{1}{\cosh^2 x} \\ 
   \frac{\text {d}}{\text {d} x}\operatorname{arsinh} x & = & \frac{1}{\sqrt{x^2+1}} \\
   \frac{\text {d}}{\text {d} x}\operatorname{arcosh} x & = & \frac{1}{\sqrt{x^2 - 1}} & & x > 1 \\
   \frac{\text {d}}{\text {d} x}\operatorname{artanh} x & = & \frac{1}{1-x^2} & & |x| < 1 \\
 \end{array}</nowiki></code>
|<math>\begin{array}{lcl}
   \frac{\text {d}}{\text {d} x}\sinh x & = & \cosh x \\
   \frac{\text {d}}{\text {d} x}\cosh x & = & \sinh x \\
   \frac{\text {d}}{\text {d} x}\tanh x & = & 1 - \tanh^2 x = \operatorname{sech}^2 x = \frac{1}{\cosh^2 x} \\ 
   \frac{\text {d}}{\text {d} x}\operatorname{arsinh} x & = & \frac{1}{\sqrt{x^2+1}} \\
   \frac{\text {d}}{\text {d} x}\operatorname{arcosh} x & = & \frac{1}{\sqrt{x^2 - 1}} & & x > 1 \\
   \frac{\text {d}}{\text {d} x}\operatorname{artanh} x & = & \frac{1}{1-x^2} & & |x| < 1 \\
 \end{array}</math>
|-
| Tekst
|<code><nowiki>Kode</nowiki></code>
|<math>Kode</math>
|}

=== Matricer ===

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Matrix-opstilling
|<code><nowiki>
\begin{matrix} x & y \\ z & u \end{matrix}
</nowiki>,<br />
<nowiki>
\begin{matrix} a & b & c\\ d & e & f \end{matrix}
</nowiki></code>
|<math>
\begin{matrix} x & y \\ z & u \end{matrix}</math>,<br />
<math>
\begin{matrix} a & b & c\\ d & e & f \end{matrix} 
</math>
|-
| Matricer og determinanter
|<code><nowiki>
\begin{Bmatrix} x & y \\ z & u \end{Bmatrix}, 
\begin{pmatrix} x & y \\ z & u \end{pmatrix}, 
\begin{vmatrix} x & y \\ z & u \end{vmatrix}, 
\begin{Vmatrix} x & y \\ z & u \end{Vmatrix}
</nowiki></code>
|<math>
\begin{Bmatrix} x & y \\ z & u \end{Bmatrix}, 
\begin{pmatrix} x & y \\ z & u \end{pmatrix}, 
\begin{vmatrix} x & y \\ z & u \end{vmatrix}, 
\begin{Vmatrix} x & y \\ z & u \end{Vmatrix}
</math>
|-
| Små matricer, matricer af dimension 2 og 3
|<code><nowiki>
\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr),
\begin{Bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{Bmatrix},
\begin{Bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}
\end{Bmatrix}
</nowiki></code>
|<math>
\bigl( \begin{smallmatrix} a&b\\ c&d \end{smallmatrix} \bigr),
\begin{Bmatrix} a_{11} & a_{12} \\ a_{21} & a_{22} \end{Bmatrix},
\begin{Bmatrix} a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}
\end{Bmatrix}
</math>
|-
| Stor matrix
|<code><nowiki>
\begin{Bmatrix} 1 & \cdots & 0 \\  \vdots & \ddots & \vdots \\ 0 & \cdots & 1 \end{Bmatrix}, \begin{Bmatrix} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \cdots & a_{nn} \end{Bmatrix}</nowiki></code>
|<math>
\begin{Bmatrix} 1 & \cdots & 0 \\  \vdots & \ddots & \vdots \\ 0 & \cdots & 1 \end{Bmatrix}, \begin{Bmatrix} a_{11} & a_{12} & \cdots & a_{1n} \\ a_{21} & a_{22} & \cdots & a_{2n} \\ \vdots & \vdots & \ddots & \vdots \\ a_{n1} & a_{n2} & \cdots & a_{nn} \end{Bmatrix}
</math>
|-
| Stor matrix
|<code><nowiki>
A =
\begin{pmatrix}
a_{11} & a_{12} & \ldots & a_{1n} \\
a_{21} & a_{22} & \ldots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn}
\end{pmatrix}.</nowiki></code>
|<math>A =
\begin{pmatrix}
a_{11} & a_{12} & \ldots & a_{1n} \\
a_{21} & a_{22} & \ldots & a_{2n} \\
\vdots & \vdots & \ddots & \vdots \\
a_{m1} & a_{m2} & \ldots & a_{mn}
\end{pmatrix}.
</math>
|-
| Invers Hilbert-matrix
|<code><nowiki>
H_4^{-1}\ =\ 
\begin{pmatrix} 
16 & -120 & 240 & -140 \\ 
-120 & 1200 & -2700 & 1680 \\ 
240 & -2700 & 6480 & -4200 \\ 
-140 & 1680 & -4200 & 2800 
\end{pmatrix} </nowiki></code>
|<math>H_4^{-1}\ =\ 
\begin{pmatrix} 
16 & -120 & 240 & -140 \\ 
-120 & 1200 & -2700 & 1680 \\ 
240 & -2700 & 6480 & -4200 \\ 
-140 & 1680 & -4200 & 2800 
\end{pmatrix} 
</math>
|-
| Tabel
|<code><nowiki>
\begin{array}{|c|c||c|} a & b & S \\
\hline
0&0&1\\
0&1&1\\
1&0&1\\
1&1&0\\
\end{array}
</nowiki></code>
|<math>
\begin{array}{|c|c||c|} a & b & S \\
\hline
0&0&1\\
0&1&1\\
1&0&1\\
1&1&0\\
\end{array}
</math>
|}

=== Eksempler på matematiske formler ===
:<math>\Bigg\{ \begin {matrix} {a_1 \cdot x_1 + b_1 \cdot y_1 = c_1} \\ {a_2 \cdot x_2 + b_2 \cdot y_2 = c_2} \end {matrix}</math>
<math>\Updownarrow</math>

:<math>(x_1, x_2) = 
\Bigg( \frac {\begin{vmatrix} c_1 & b_1 \\ c_2 & b_2 \end{vmatrix}}{\begin{vmatrix} a_1 & b_1 \\ a_2 & b_2 \end{vmatrix}}, 
\frac {\begin{vmatrix} a_1 & c_1 \\ a_2 & c_2 \end{vmatrix}}{\begin{vmatrix} a_1 & b_1 \\ a_2 & b_2 \end{vmatrix}} \Bigg) = 
\bigg( \frac {c_1 \cdot b_2 - c_2 \cdot b_1}{a_1 \cdot b_2 - a_2 \cdot b_1}, 
\frac {a_1 \cdot c_2 - a_2 \cdot c_1}{a_1 \cdot b_2 - a_2 \cdot b_1} \bigg)</math>

<math>\arctan\left(\frac{1}{x}\right) = 
\begin{cases}
\begin{array}{lcl} \ \ \ \frac{\pi}{2} - \arctan(x) = \arccot(x)  & \text{ hvis } x > 0  & 
\\ -\frac{\pi}{2} - \arctan(x) = \arccot(x) - \pi & \text{ hvis } x < 0  \end{array} \end{cases}</math>

== Fysiske symboler ==

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><math>...</math></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Reduceret Planck-konstant, liter-symbol, reciprok ohm
|<code><nowiki>\hbar • \ell • \mho </nowiki></code>
|<math>\hbar, \ell, \mho </math>
|-
| Nuklider og ioner
|<code><nowiki>{}_1^1\hbox{H} • {}_1^2\hbox{D} • {}_1^3\hbox{T} • {}_{\,\,92}^{235}\hbox{U} </nowiki></code>
|<math>{}_1^1\hbox{H} , {}_1^2\hbox{D} , {}_1^3\hbox{T} , {}_{\,\,92}^{235}\hbox{U} </math>
|}

=== Eksempler på fysiske formler ===

Formatering af fysiske reaktionsligninger sker i simple tilfælde lettest med formateringskoden <nowiki><chem>...</chem></nowiki> evt. i kombination med <nowiki><math>...</math></nowiki>.

{| class="wikitable"
|-
! '''Emne'''
! '''<code><nowiki><math>...</math></nowiki></code> og/eller <code><nowiki><chem>...</chem></nowiki></code> syntaks'''
! '''Resultat'''
|-
| rowspan="15" | Radioaktivitet
| style="border-bottom-style:hidden;" | <code><nowiki><chem>^{227}_{90}Th+</chem></nowiki></code>
| style="border-bottom-style:hidden;" | <chem>^{227}_{90}Th+</chem>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><chem>^{238}_{92}U -> ^{234}_{90}Th + ^{4}_{2}He</chem></nowiki></code>
| style="border-bottom-style:hidden;" | <chem>^{238}_{92}U -> ^{234}_{90}Th + ^{4}_{2}He</chem>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{238}_{\ 92} \mathrm U \to {}^{234}_{\ 90} \mathrm{Th} + \;{}^4_2\mathrm{He} </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{238}_{\ 92} \mathrm U \to {}^{234}_{\ 90} \mathrm{Th} + \;{}^4_2\mathrm{He} </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><chem>^{146}_{62}Sm -> ^{142}_{60}Nd + ^{4}_{2}He + 2{,}529 MeV</chem></nowiki></code>
| style="border-bottom-style:hidden;" | <chem>^{146}_{62}Sm -> ^{142}_{60}Nd + ^{4}_{2}He + 2{,}529 MeV</chem>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><chem>^{198}_{79}Au -> ^{198}_{80}Hg</chem><math>\, + \mathrm{e}^{-}+ \overline{\nu}_e </math></nowiki></code>
| style="border-bottom-style:hidden;" | <chem>^{198}_{79}Au -> ^{198}_{80}Hg</chem><math>\, + \mathrm{e}^{-}+ \overline{\nu}_e </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{198}_{\ 79} \mathrm {Au} \to {}^{198}_{\ 80} \mathrm {Hg} + \mathrm{e}^{-}+ \overline{\nu}_e </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{198}_{\ 79} \mathrm {Au} \to {}^{198}_{\ 80} \mathrm {Hg} + \mathrm{e}^{-}+ \overline{\nu}_e </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{40}_{19} \mathrm {K} \to {}^{40}_{18} \mathrm {Ar} + \mathrm{e}^{+} + \nu_e </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{40}_{19} \mathrm {K} \to {}^{40}_{18} \mathrm {Ar} + \mathrm{e}^{+} + \nu_e </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{A}_{Z} \mathrm {X} \to {}^{A-4}_{Z-2} \mathrm {Y} + {}^{4}_{2} \mathrm {He} + \Delta E </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{A}_{Z} \mathrm {X} \to {}^{A-4}_{Z-2} \mathrm {Y} + {}^{4}_{2} \mathrm {He} + \Delta E </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{A}_{Z} \mathrm {X} \to {}^{A}_{Z+1} \mathrm {Y} + \mathrm{e}^{-} \mathrm + \overline{\nu}_e</math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{A}_{Z} \mathrm {X} \to {}^{A}_{Z+1} \mathrm {Y} + \mathrm{e}^{-} \mathrm + \overline{\nu}_e</math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>\hbox{n}\to\hbox{p}+\hbox{e}^-+\overline{\nu}_{\mathrm{e}}</math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>\hbox{n}\to\hbox{p}+\hbox{e}^-+\overline{\nu}_{\mathrm{e}}</math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^1_0\hbox{n}\;\to\;{}^1_1\hbox{p}\;+\;_{-}{}^0_{1}\hbox{e}\;+\;\bar{\nu}_e </math><nowiki></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^1_0\hbox{n}\;\to\;{}^1_1\hbox{p}\;+\;_{-}{}^0_{1}\hbox{e}\;+\;\bar{\nu}_e </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{137}\mathrm{Ba}^{*} \rightarrow {}^{137}\mathrm{Ba} + \gamma</math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{137}\mathrm{Ba}^{*} \rightarrow {}^{137}\mathrm{Ba} + \gamma</math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{14}_{\ 6}\mathrm{C} \rightarrow {}^{14}_{\ 7}\mathrm{N} + {}^{\ 0}_{-1}\mathrm{e} + \bar{\nu}_\mathrm{e} </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{14}_{\ 6}\mathrm{C} \rightarrow {}^{14}_{\ 7}\mathrm{N} + {}^{\ 0}_{-1}\mathrm{e} + \bar{\nu}_\mathrm{e} </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^1_1\hbox{p}\;\to\;{}^1_0\hbox{n}\;+\;_{+}{}^0_{1}\hbox{e}\;+\;\nu_e </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^1_1\hbox{p}\;\to\;{}^1_0\hbox{n}\;+\;_{+}{}^0_{1}\hbox{e}\;+\;\nu_e </math>
|-
| <code><nowiki><math>{}^{22}_{11}\mathrm{Na} \rightarrow {}^{22}_{10}\mathrm{Ne} + {}^{\ 0}_{+1}\mathrm{e} + \nu_\mathrm{e}</math></nowiki></code>
| <math>{}^{22}_{11}\mathrm{Na} \rightarrow {}^{22}_{10}\mathrm{Ne} + {}^{\ 0}_{+1}\mathrm{e} + \nu_\mathrm{e} </math> 
|-
| rowspan="5" | Kernereaktioner
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^1_0\hbox{n}\;\to\;{}^1_1\hbox{p}\;+\;_{-}{}^0_{1}\hbox{e}\;+\;\bar{\nu}_e </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^1_0\hbox{n}\;\to\;{}^1_1\hbox{p}\;+\;_{-}{}^0_{1}\hbox{e}\;+\;\bar{\nu}_e </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{14}_{\ 6}\mathrm{C} \rightarrow {}^{14}_{\ 7}\mathrm{N} + {}^{\ 0}_{-1}\mathrm{e} + \bar{\nu}_\mathrm{e} </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{14}_{\ 6}\mathrm{C} \rightarrow {}^{14}_{\ 7}\mathrm{N} + {}^{\ 0}_{-1}\mathrm{e} + \bar{\nu}_\mathrm{e} </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^1_1\hbox{p}\;\to\;{}^1_0\hbox{n}\;+\;_{+}{}^0_{1}\hbox{e}\;+\;\nu_e </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^1_1\hbox{p}\;\to\;{}^1_0\hbox{n}\;+\;_{+}{}^0_{1}\hbox{e}\;+\;\nu_e </math>
|-
| style="border-bottom-style:hidden;" | <code><nowiki><math>{}^{22}_{11}\mathrm{Na} \rightarrow {}^{22}_{10}\mathrm{Ne} + {}^{\ 0}_{+1}\mathrm{e} + \nu_\mathrm{e} </math></nowiki></code>
| style="border-bottom-style:hidden;" | <math>{}^{22}_{11}\mathrm{Na} \rightarrow {}^{22}_{10}\mathrm{Ne} + {}^{\ 0}_{+1}\mathrm{e} + \nu_\mathrm{e} </math>
|-
| <code><nowiki><math>{}^{238}_{\ 92} \mathrm U \to {}^{234}_{\ 90} \mathrm{Th} + \;{}^4_2\mathrm{He}</math></nowiki></code>
| <math>{}^{238}_{\ 92} \mathrm U \to {}^{234}_{\ 90} \mathrm{Th} + \;{}^4_2\mathrm{He} </math>
|}

== Kemiske formler ==

{| class="wikitable"
|-
! Emne
! '''<code><nowiki><chem>...</chem></nowiki></code> syntaks'''
! '''Resultat'''
|-
| Tekst med formler
| <code><nowiki>Hvis <chem>H3O+</chem> aftager, så må <chem>CH3CO2H</chem> vokse og <chem>CH3CO2-</chem> må aftage.</nowiki></code>

<small>Bemærk, at et minustegn i koden skal skrives som en '''bindestreg''' (der er let tilgængelig på tastaturet)...</small>
| Hvis <chem>H3O+</chem> aftager, så må <chem>CH3CO2H</chem> vokse og <chem>CH3CO2-</chem> må aftage.

<small>... men vises som et '''minustegn''' (hvilket er korrekt).</small>
|-
| Formler og reaktioner
|
<code><nowiki><chem>(NH4)2S</chem></nowiki></code><br />
<code><nowiki><chem>CO3^{2-}(aq)</chem></nowiki></code><br />
<code><nowiki><chem>KCr(SO4)2*12H2O</chem></nowiki></code><br />
<code><nowiki><chem>C6H5-CHO</chem></nowiki></code><br />
<code><nowiki><chem>A-B=C#D</chem></nowiki></code><br />
<code><nowiki><chem>Fe^{II}Fe^{III}2O4</chem></nowiki></code><br />
<code><nowiki><chem>[Fe(\eta^5-C5H5)2]</chem></nowiki></code><br />
<code><nowiki><chem>HA + B -> A + HB</chem></nowiki></code><br />
<code><nowiki><chem>NaCl + AgNO3 -> NaNO3 + AgCl(v)</chem></nowiki></code><br />
<code><nowiki><chem>Mg + 2H2O -> Mg(OH)2 + H2 (^)</chem></nowiki></code><br />
<code><nowiki><chem>Pb(NO3)2 + 2KI -> PbI2(v) + 2KNO3</chem></nowiki></code><br />
<code><nowiki><chem>\underset{syre}{HA} + \underset{base}{B} <=> \underset{korresponderende\ base}{A^-} + \underset{korresponderende\ syre}{HB+}</chem></nowiki></code><br />
<code><nowiki><chem>CaSO4.1/2H2O + 1\!1/2 H2O -> CaSO4.2H2O</chem></nowiki></code><br />
<code><nowiki><chem>{C_\mathit{x} \, H_\mathit{y}} + \mathit{z} \, O2 -> {\mathit{x}CO2} + \frac{\mathit{y}}{2}H2O</chem></nowiki></code><br />
<code><nowiki><chem>^{227}_{90}Th+</chem></nowiki></code><br />
<code><nowiki><chem>^{238}_{92}U -> ^{234}_{90}Th + ^{4}_{2}He</chem></nowiki></code><br />
|
<chem>(NH4)2S</chem><br />
<chem>CO3^{2-}(aq)</chem><br />
<chem>KCr(SO4)2*12H2O</chem><br />
<chem>C6H5-CHO</chem><br />
<chem>A-B=C#D</chem><br />
<chem>Fe^{II}Fe^{III}2O4</chem><br />
<chem>[Fe(\eta^5-C5H5)2]</chem><br />
<chem>HA + B -> A + HB</chem><br />
<chem>NaCl + AgNO3 -> NaNO3 + AgCl(v)</chem><br />
<chem>Mg + 2H2O -> Mg(OH)2 + H2 (^)</chem><br />
<chem>Pb(NO3)2 + 2KI -> PbI2(v) + 2KNO3</chem><br />
<chem>\underset{syre}{HA} + \underset{base}{B} <=> \underset{korresponderende\ base}{A^-} + \underset{korresponderende\ syre}{HB+}</chem><br />
<chem>CaSO4.1/2H2O + 1\!1/2 H2O -> CaSO4.2H2O</chem><br />
<chem>{C_\mathit{x} \, H_\mathit{y}} + \mathit{z} \, O2 -> {\mathit{x}CO2} + \frac{\mathit{y}}{2}H2O</chem><br />
<chem>^{227}_{90}Th+</chem><br />
<chem>^{238}_{92}U -> ^{234}_{90}Th + ^{4}_{2}He</chem><br />

|-
| Ligninger med kemiske formler
|<code><nowiki><math chem>K=\frac {\{\ce{CH3CO2-}\}\{\ce{H3O+}\}} \ce{\{CH3CO2H\}}</math>
<math> \Delta_\mathrm{r}G_{T,p}=\sum_{i=1}^k \mu_i^\ominus \cdot \nu_i + R \cdot T \cdot \ln \frac{\{\mathrm{S}\}^\sigma \cdot \{\mathrm{T}\}^\tau} {\{\mathrm{A}\}^\alpha \cdot \{\mathrm{B}\}^\beta} </math></nowiki></code>
|<math chem>K=\frac {\{\ce{CH3CO2-}\}\{\ce{H3O+}\}} \ce{\{CH3CO2H\}}</math>
<math> \Delta_\mathrm{r}G_{T,p}=\sum_{i=1}^k \mu_i^\ominus \cdot \nu_i + R \cdot T \cdot \ln \frac{\{\mathrm{S}\}^\sigma \cdot \{\mathrm{T}\}^\tau} {\{\mathrm{A}\}^\alpha \cdot \{\mathrm{B}\}^\beta} </math>
|-
| rowspan="2" | Generel reaktionsligning
| style="border-bottom-style:hidden;" | <code><nowiki><chem> \alpha_1 R1{} +\alpha_2 R2{} +...+\alpha_{\mathit i} R_{\mathit i}{} +...\rightarrow \nu_1 P1{} + \nu_2 P2{} +...+\nu_{\mathit j} P_{\mathit j}{} +...</chem></nowiki></code>
| style="border-bottom-style:hidden;" | <chem>\alpha_1 R1{} +\alpha_2 R2{} +...+\alpha_{\mathit i} R_{\mathit i}{} +...\rightarrow \nu_1 P1{} + \nu_2 P2{} +...+\nu_{\mathit j} P_{\mathit j}{} +...</chem>
|-
| <code><nowiki><math>\alpha_1 \rm{R}_1 +\alpha_2 \rm{R}_2 +...+\alpha_i \rm{R}_i +...\rightarrow \nu_1 \rm{P}_1 + \nu_2 \rm{P}_2 +...+\nu_j \rm{P}_j +...</math></nowiki></code> 
| <math>\alpha_1 \rm{R}_1 +\alpha_2 \rm{R}_2 +...+\alpha_i \rm{R}_i +...\rightarrow \nu_1 \rm{P}_1 + \nu_2 \rm{P}_2 +...+\nu_j \rm{P}_j +...</math>
|}


=== Eksempler på kemiske formler ===

:<math> \alpha \cdot \mu_\mathrm{A} + \beta \cdot \mu_\mathrm{B} = \sigma \cdot \mu_\mathrm{S} + \tau \cdot \mu_\mathrm{T} \,</math>

:<math> \text{d}G = V \cdot \text{d}p-S \cdot \text{d}T+\sum_{i=1}^k \mu_i \cdot \text{d}N_i </math>.

:<math> \Delta_\mathrm{r}G_{T,p} = \sigma \cdot \mu_\mathrm{S} + \tau \cdot \mu_\mathrm{T} - \alpha \cdot \mu_\mathrm{A} - \beta \cdot \mu_\mathrm{B} \,</math>.

:<math>\begin{alignat}{2} \Delta_\mathrm{r}G_{T,p}
& = (( \sigma \cdot \mu_\mathrm{S}^{\ominus} + \tau \cdot \mu_\mathrm{T}^{\ominus} ) - ( \alpha \cdot \mu_\mathrm{A}^{\ominus} + \beta \cdot \mu_\mathrm{B}^{\ominus} ) \\
& + ( \sigma \cdot R \cdot T \cdot \ln\{\mathrm{S}\} + \tau \cdot R \cdot T \cdot \ln\{\mathrm{T}\} ) \\
& - ( \alpha \cdot R \cdot T \cdot \ln\{\mathrm{A}\} + \beta \cdot R \cdot T \cdot \ln \{\mathrm{B}\} ) \\ 
\end{alignat}</math>

:<math>\sum_{i=1}^k \mu_i^\ominus \cdot \nu_i = \Delta_\mathrm{r}G^{\ominus}</math>