Hjælp:Formatering med opmærkningskoder

Videnskabelige symboler og formler på Wikipedia skrives bedst ved hjælp af opmærkningskoderne <math>...</math> og <chem>...</chem>. 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 [1], 2017, som anfører tusindvis af symboler og deres tilhørende LaTeX-kommando. Som det fremgår af nedenstående anerkendeses \degree og \dprime ikke af <math>.

Eksempler på elementære udtryk og formler

Wikipedia kode	Resultat
<math>\alpha</math>	$\alpha$
<math>\sqrt{81} = 9</math>	$\sqrt{81}=9$
<math> f(x) = x^2 + 3\cdot x</math>	$f(x)=x^2+3\cdot x$
<math>\sqrt{1-e^2}</math>	$\sqrt{1-e^2}$
<math>\Omega_\text{cirkel} = \frac {2 \cdot \pi }{P}</math>	${\mathrm{\Omega }}_{\text{cirkel}}=\frac{2\cdot \pi }{P}$
<math>x_{1,2} = \frac {-b \pm \sqrt{d} }{2 \cdot a}</math>	$x_{1,2}=\frac{-b\pm \sqrt{d}}{2\cdot a}$
<math>\exist \, \alpha \in\mathbb{R} \text{ : } \varphi(x)=\alpha</math>	$\mathrm{\exists }\alpha \in ℝ\text{ : }\phi (x)=\alpha$
<math>\int_0^\infty e^{-x^2}\textrm{d}x=\frac{\sqrt{\pi}}{2}</math>	$\underset{0}{\overset{\mathrm{\infty }}{\int }}{\text{e}}^{-x^2}\text{d}x=\frac{\sqrt{\pi }}{2}$
<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>	$\alpha$ = 6h 12m 34.5s $\alpha =6^{\text{h}}45^{\text{m}}08.917^{\text{s}}$
<math>\delta</math> = <math>-</math>67° 12′ 34.07″ <math>\delta = -67^\circ 12' 34.07''</math> <math>\delta = -67^\circ 12^\prime 34.07^{\prime\prime}</math> <math>\delta = -67</math>° <math>12</math>′ <math>34.07</math>″	$\delta$ = $-$67° 12′ 34.07″ $\delta =-67^{\circ }12^{\prime }34.07^{″}$ $\delta =-67^{\circ }12^{\prime }34.07^{\prime \prime }$ $\delta =-67$° $12$′ $34.07$″
${\prime }^{}$ ${‵}^{}$ Fejl i matematikken (ukendt funktion '\degree'): {\displaystyle \degree} Fejl i matematikken (ukendt funktion '\dprime'): {\displaystyle \dprime} Fejl i matematikken (ukendt funktion '\tprime'): {\displaystyle \tprime} Fejl i matematikken (ukendt funktion '\qprime'): {\displaystyle \qprime}
<math>F_\odot \ \mathrm M _\odot\ \mathrm R _\odot\ \mathrm L _\odot</math>	$F_{\odot }{\mathrm{M}}_{\odot }{\mathrm{R}}_{\odot }{\mathrm{L}}_{\odot }$
<chem>H2SO4</chem>	$\mathrm{H}{\phantom{A}}_2\mathrm{S}\mathrm{O}{\phantom{A}}_4$
<chem>NaCl + AgNO3 -> NaNO3 + AgCl(v)</chem>	$\mathrm{N}\mathrm{a}\mathrm{C}\mathrm{l}+\mathrm{A}\mathrm{g}\mathrm{N}\mathrm{O}{\phantom{A}}_3⟶\mathrm{N}\mathrm{a}\mathrm{N}\mathrm{O}{\phantom{A}}_3+\mathrm{A}\mathrm{g}\mathrm{C}\mathrm{l}(\mathrm{v})$

Græske bogstaver

Klassiske græske bogstaver

Bogstav	<math>...</math> syntaks	Resultat
Alfa	<math>\alpha </math>, <math>\Alpha </math>	$\alpha$, $\mathrm{A}$
Beta	<math>\beta </math>, <math>\Beta </math>	$\beta$, $\mathrm{B}$
Gamma	<math>\gamma </math>, <math>\Gamma </math>	$\gamma$, $\mathrm{\Gamma }$
Delta	<math>\delta </math>, <math>\Delta </math>	$\delta$, $\mathrm{\Delta }$
Epsilon	<math>\varepsilon </math>, <math>\Epsilon </math>	$\epsilon$, $\mathrm{E}$
Zeta	<math>\zeta </math>, <math>\Zeta </math>	$\zeta$, $\mathrm{Z}$
Eta	<math>\eta </math>, <math>\Eta </math>	$\eta$, $\mathrm{H}$
Theta	<math>\theta </math>, <math>\Theta </math>	$\theta$, $\mathrm{\Theta }$
Iota	<math>\iota </math>, <math>\Iota </math>	$\iota$, $\mathrm{I}$
Kappa	<math>\kappa </math>, <math>\Kappa </math>	$\kappa$, $\mathrm{K}$
Lambda	<math>\lambda </math>, <math>\Lambda </math>	$\lambda$, $\mathrm{\Lambda }$
My	<math>\mu </math>, <math>\Mu </math>	$\mu$, $\mathrm{M}$
Ny	<math>\nu </math>, <math>\Nu </math>	$\nu$, $\mathrm{N}$
Xi	<math>\xi </math>, <math>\Xi </math>	$\xi$, $\mathrm{\Xi }$
Omikron	<math>\omicron </math>, <math>\Omicron </math>	$o$, $O$
Pi	<math>\pi </math>, <math>\Pi </math>	$\pi$, $\mathrm{\Pi }$
Rho	<math>\rho </math>, <math>\Rho </math>	$\rho$, $\mathrm{P}$
Sigma	<math>\sigma </math>, <math>\Sigma </math>	$\sigma$, $\mathrm{\Sigma }$
Tau	<math>\tau </math>, <math>\Tau </math>	$\tau$, $\mathrm{T}$
Ypsilon	<math>\upsilon </math>, <math>\Upsilon </math>	$\upsilon$, $\mathrm{{\rm Y}}$
Phi	<math>\varphi </math>, <math>\Phi </math>	$\phi$, $\mathrm{\Phi }$
Chi	<math>\chi </math>, <math>\Chi </math>	$\chi$, $\mathrm{X}$
Psi	<math>\psi </math>, <math>\Psi </math>	$\psi$, $\mathrm{\Psi }$
Omega	<math>\omega </math>, <math>\Omega </math>	$\omega$, $\mathrm{\Omega }$

Varianter

Bogstav	<math>...</math> syntaks	Resultat
Epsilon, variant	<math>\epsilon </math>	$ϵ$
Theta, variant	<math>\vartheta </math>	$\vartheta$
Kappa, variant	<math>\varkappa </math>	$\varkappa$
Pi, variant	<math>\varpi </math>	$\varpi$
Rho, variant	<math>\varrho </math>	$\varrho$
Sigma, variant	<math>\varsigma </math>	$\varsigma$
Phi, variant	<math>\phi </math>	$\varphi$

Hebræiske bogstaver

Kun de fire første bruges matematisk

Bogstaver	<math>...</math> syntaks	Resultat
Alef, beth, gimel, daleth	<math>\aleph, \beth, \gimel, \daleth </math>	$\mathrm{\aleph },\beth ,\gimel ,\daleth$

Skriftsnit

Emne	<math>...</math> syntaks	Resultat
Fed skrift (boldface)	\mathbf {abcxyzABCXYZ123}	$𝐚𝐛𝐜𝐱𝐲𝐳𝐀𝐁𝐂𝐗𝐘𝐙\mathrm{𝟏}\mathrm{𝟐}\mathrm{𝟑}$
Skråskrift (italics)	\mathit {abcxyzABCXYZ123}	$𝑎𝑏𝑐𝑥𝑦𝑧𝐴𝐵𝐶𝑋𝑌𝑍123$
Dobbeltstreg (blackboard)	\mathbb {abcxyzABCXYZ123}	$𝕒𝕓𝕔𝕩𝕪𝕫𝔸𝔹ℂ𝕏𝕐\mathbb{Z}\mathrm{𝟙}\mathrm{𝟚}\mathrm{𝟛}$
Roman	\mathrm {abcxyzABCXYZ123}	$\mathrm{a}\mathrm{b}\mathrm{c}\mathrm{x}\mathrm{y}\mathrm{z}\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{X}\mathrm{Y}\mathrm{Z}\mathrm{1}\mathrm{2}\mathrm{3}$
Sans serif	\mathsf {abcxyzABCXYZ123}	$𝖺𝖻𝖼𝗑𝗒𝗓𝖠𝖡𝖢𝖷𝖸𝖹\mathrm{𝟣}\mathrm{𝟤}\mathrm{𝟥}$
Kaligrafi	\mathcal {abcxyzABCXYZ123}	$𝒶𝒷𝒸𝓍𝓎𝓏𝒜ℬ𝒞𝒳𝒴𝒵123$
Fraktur	\mathfrak {abcxyzABCXYZ123}	$𝔞𝔟𝔠𝔵𝔶𝔷𝔄𝔅ℭ𝔛𝔜ℨ123$
Formindskede typer	{\scriptstyle\text{abcxyzABCXYZ123}}	$\text{abcxyzABCXYZ123}$
Blandede skriftsnit Skråskrift Opret skrift Blanding	xyz\ x\ y\ z \text{xyz x y z} \text{Hvis }n\text{ er ulige...}	$xyzxyz$ $\text{xyz x y z}$ $\text{Hvis }n\text{ er ulige...}$
Farvet tekst	{\color{Blue}x^2}+{\color{Orange}2\cdot x}-{\color{LimeGreen}1}	$x^2+2\cdot x-1$

Foruddefinerede farver

Nedenstående farvenavne er foruddefinerede:

$Blue$	$BlueGreen$	$BlueViolet$	$BrickRed$	$Brown$	$BurntOrange$	$CadetBlue$	$CarnationPink$
$DarkOrchid$	$Emerald$	$ForestGreen$	$Fuchsia$	$Mahogany$	$Maroon$	$Melon$	$MidnightBlue$
$Mulberry$	$NavyBlue$	$OliveGreen$	$Orange$	$OrangeRed$	$Orchid$	$Peach$	$Periwinkle$
$PineGreen$	$Plum$	$ProcessBlue$	$Purple$	$RawSienna$	$Red$	$RedOrange$	$RedViolet$
$Rhodamine$	$RoyalBlue$	$RoyalPurple$	$RubineRed$	$Salmon$	$SeaGreen$	$Sepia$	$SkyBlue$

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

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.

Wikipedia kode	Resultat
{{NumBlk|:|<math>c^2=a^2+b^2</math>|{{EquationRef|1}}}}	Skabelon:NumBlk
{{Equation box 1 |title= |indent=: |equation=<math>c^2=a^2+b^2</math> |cellpadding = 6 |border = 1 |border colour = black |background colour=white}}	$c^2=a^2+b^2$
{{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

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

Hævet og sænket skrift

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

Afgrænsere

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

Mængder og logik

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

Funktioner

Emne	<math>...</math> syntaks	Resultat
Trigonometriske funktioner	\sin (x), \cos (x), \tan (x), \cot (x), \sec (x), \csc (x)	$\sin (x),\cos (x),\tan (x),\cot (x),\sec (x),\csc (x)$
Arcusfunktioner	\arcsin (x), \arccos (x), \arctan (x)	$\arcsin (x),\arccos (x),\arctan (x)$
Eksponential- og logaritmefunktioner	\exp (x) = e^x, \exp_a (x) = a^x, 10^x, \ln (x), \log (x), \log_{10} (x)	$\exp (x)=e^x,{\exp }_a(x)=a^x,10^x,\ln (x),\log (x),{\log }_{10}(x)$
Funktioner som "math" ikke kender	\operatorname{cis}\,(x) \operatorname{ArctanXY}\,(x,y)	$\mathrm{cis}(x)$ $\mathrm{ArctanXY}(x,y)$
Hyperbolske funktioner	\sinh (x), \cosh (x), \tanh (x), \coth (x)	$\sinh (x),\cosh (x),\tanh (x),\coth (x)$
Areafunktioner	\operatorname{arsinh}\,(x), \operatorname{arcosh}\,(x), \operatorname{artanh}\,(x), \operatorname{arcoth}\,(x)	$\mathrm{arsinh}(x),\mathrm{arcosh}(x),\mathrm{artanh}(x),\mathrm{arcoth}(x)$
Minimum, maximum, infimum, supremum	\min M, \max M, \min(x,y), \max(x,y), \inf M, \sup M	$\min M,\max M,\min (x,y),\max (x,y),\inf M,\sup M$
Signum, norm, argument	\sgn (x), \left\vert x \right\vert, \lVert z \rVert, \arg (z)	$\mathrm{sgn}(x),\left|x\right|,\Vert z\Vert ,\arg (z)$
Binomialkoefficienter	\binom{n}{k}, \tbinom{n}{k}	$(\genfrac{}{}{0ex}{}{n}{k}),(\genfrac{}{}{0ex}{}{n}{k})$

Geometri og vektorer

Emne	<math>...</math> syntaks	Resultat
Geometriske symboler	\parallel, \nparallel, \perp, \angle, \sphericalangle, \measuredangle, 45^\circ, \Box, \blacksquare, \bigcirc, \triangle, \blacktriangle, \blacktriangledown, \blacktriangleleft, \blacktriangleright	$\parallel ,\nparallel ,\perp ,\mathrm{\angle },\sphericalangle ,\measuredangle ,45^{\circ },◻,◼,◯,\mathrm{△},▴,▾,◂,▸$
Vektorer	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	$\overrightarrow{a},\hat{a},\hat{\overrightarrow{a}},\hat{a},\overline{a},\overline{abc},\bar{a},\overline{ABC},\overrightarrow{AB},\widehat{\overrightarrow{AB}},\overleftarrow{CD},\widehat{ABC},\parallel ,\nparallel ,\perp$

Differential- og integralregning

Emne	<math>...</math> syntaks	Resultat
Differentialer	\text{d}t, \partial t, \nabla\psi	$\text{d}t,\partial t,\mathrm{\nabla }\psi$
Differentialkvotienter	\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	$\text{d}y/\text{d}x,\frac{\text{d}y}{\text{d}x},\frac{\text{d}y}{\text{d}x},\frac{{\partial }^2}{\partial x_1\partial x_2}y$
Afledede	\prime, \backprime, f^\prime, f', f'', f^{(3)}, \dot y, \ddot y	$\prime ,‵,f^{\prime },f^{\prime },f^{″},f^{(3)},\dot{y},\ddot{y}$
Ubestemte integraler	\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	$\int \cos (x)\text{d}x=\sin (x)+K,$ $\underset{D}{\iint }\text{d}x\text{d}y,\underset{E}{\iiint }\text{d}x\text{d}y\text{d}z$
Bestemte integraler Sidestil	\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	$\underset{1}{\overset{3}{\int }}\frac{{\text{e}}^3}{x^2}\text{d}x,\underset{1}{\overset{3}{\int }}\frac{{\text{e}}^3}{x^2}\text{d}x$
Bestemte integraler Linjestil	\textstyle \int\limits_{-N}^{N} \text{e}^x\, \text{d}x, \textstyle \int_{-N}^{N} \text{e}^x\, \text{d}x	$\underset{-N}{\overset{N}{\int }}{\text{e}}^x\text{d}x,{\int }_{-N}^N{\text{e}}^x\text{d}x$

Formatering af ligninger

$\arctan \left(\frac{1}{x}\right)=\{\begin{array}{c}\frac{\pi }{2}-\arctan (x)=\mathrm{arccot}(x),\text{ hvis }x>0\\ \\ -\frac{\pi }{2}-\arctan (x)=\mathrm{arccot}(x)-\pi ,\text{ hvis }x<0\end{array}$

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

Matricer

Emne	<math>...</math> syntaks	Resultat
Matrix-opstilling	\begin{matrix} x & y \\ z & u \end{matrix} , \begin{matrix} a & b & c\\ d & e & f \end{matrix}	$\begin{array}{cc}x& y\\ z& u\end{array}$, $\begin{array}{ccc}a& b& c\\ d& e& f\end{array}$
Matricer og determinanter	\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}	$\left\{\begin{array}{cc}x& y\\ z& u\end{array}\right\},\left(\begin{array}{cc}x& y\\ z& u\end{array}\right),\left|\begin{array}{cc}x& y\\ z& u\end{array}\right|,\Vert \begin{array}{cc}x& y\\ z& u\end{array}\Vert$
Små matricer, matricer af dimension 2 og 3	\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}	$\left(\begin{array}{cc}a& b\\ c& d\end{array}\right),\left\{\begin{array}{cc}{a}_{11}& a_{12}\\ a_{21}& a_{22}\end{array}\right\},\left\{\begin{array}{ccc}{a}_{11}& a_{12}& a_{13}\\ a_{21}& a_{22}& a_{23}\\ a_{31}& a_{32}& a_{33}\end{array}\right\}$
Stor matrix	\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}	$\left\{\begin{array}{ccc}1& \cdots & 0\\ ⋮& \ddots & ⋮\\ 0& \cdots & 1\end{array}\right\},\left\{\begin{array}{cccc}{a}_{11}& a_{12}& \cdots & a_{1n}\\ a_{21}& a_{22}& \cdots & a_{2n}\\ ⋮& ⋮& \ddots & ⋮\\ a_{n1}& a_{n2}& \cdots & a_{nn}\end{array}\right\}$
Stor matrix	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}.	$A=\left(\begin{array}{cccc}{a}_{11}& a_{12}& \dots & a_{1n}\\ a_{21}& a_{22}& \dots & a_{2n}\\ ⋮& ⋮& \ddots & ⋮\\ a_{m1}& a_{m2}& \dots & a_{mn}\end{array}\right).$
Invers Hilbert-matrix	H_4^{-1}\ =\ \begin{pmatrix} 16 & -120 & 240 & -140 \\ -120 & 1200 & -2700 & 1680 \\ 240 & -2700 & 6480 & -4200 \\ -140 & 1680 & -4200 & 2800 \end{pmatrix}	$H_4^{-1}=\left(\begin{array}{cccc}16& -120& 240& -140\\ -120& 1200& -2700& 1680\\ 240& -2700& 6480& -4200\\ -140& 1680& -4200& 2800\end{array}\right)$
Tabel	\begin{array}{|c|c||c|} a & b & S \\ \hline 0&0&1\\ 0&1&1\\ 1&0&1\\ 1&1&0\\ \end{array}	$\begin{array}{ccc}a& b& S\\ 0& 0& 1\\ 0& 1& 1\\ 1& 0& 1\\ 1& 1& 0\end{array}$

Eksempler på matematiske formler

$\{\begin{array}{c}{a}_1\cdot x_1+b_1\cdot y_1=c_1\\ a_2\cdot x_2+b_2\cdot y_2=c_2\end{array}$

$\Updownarrow$

$(x_1,x_2)=(\frac{\left|\begin{array}{cc}{c}_1& b_1\\ c_2& b_2\end{array}\right|}{\left|\begin{array}{cc}{a}_1& b_1\\ a_2& b_2\end{array}\right|},\frac{\left|\begin{array}{cc}{a}_1& c_1\\ a_2& c_2\end{array}\right|}{\left|\begin{array}{cc}{a}_1& b_1\\ a_2& b_2\end{array}\right|})=(\frac{c_1\cdot b_2-c_2\cdot b_1}{a_1\cdot b_2-a_2\cdot b_1},\frac{a_1\cdot c_2-a_2\cdot c_1}{a_1\cdot b_2-a_2\cdot b_1})$

$\arctan \left(\frac{1}{x}\right)=\{\begin{array}{c}\begin{array}{ccc}\frac{\pi }{2}-\arctan (x)=\mathrm{arccot}(x)& \text{ hvis }x>0& \\ -\frac{\pi }{2}-\arctan (x)=\mathrm{arccot}(x)-\pi & \text{ hvis }x<0\end{array}\end{array}$

Fysiske symboler

Emne	<math>...</math> syntaks	Resultat
Reduceret Planck-konstant, liter-symbol, reciprok ohm	\hbar • \ell • \mho	$\hslash ,\ell ,\mho$
Nuklider og ioner	{}_1^1\hbox{H} • {}_1^2\hbox{D} • {}_1^3\hbox{T} • {}_{\,\,92}^{235}\hbox{U}	${}_1^1\text{H},{}_1^2\text{D},{}_1^3\text{T},{}_{92}^{235}\text{U}$

Eksempler på fysiske formler

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

Emne	<math>...</math> og/eller <chem>...</chem> syntaks	Resultat
Radioaktivitet	<chem>^{227}_{90}Th+</chem>	${\phantom{A}}_{\phantom{90}}^{\phantom{227}}{\phantom{A}}_{\phantom{2}90}^{\phantom{2}227}\mathrm{T}\mathrm{h}{\phantom{A}}^{+}$
	<chem>^{238}_{92}U -> ^{234}_{90}Th + ^{4}_{2}He</chem>	${\phantom{A}}_{\phantom{92}}^{\phantom{238}}{\phantom{A}}_{\phantom{2}92}^{\phantom{2}238}\mathrm{U}⟶{\phantom{A}}_{\phantom{90}}^{\phantom{234}}{\phantom{A}}_{\phantom{2}90}^{\phantom{2}234}\mathrm{T}\mathrm{h}+{\phantom{A}}_{\phantom{2}}^{\phantom{4}}{\phantom{A}}_{\phantom{2}2}^{\phantom{2}4}\mathrm{H}\mathrm{e}$
	<math>{}^{238}_{\ 92} \mathrm U \to {}^{234}_{\ 90} \mathrm{Th} + \;{}^4_2\mathrm{He} </math>	${}_{92}^{238}\mathrm{U}\to {}_{90}^{234}\mathrm{T}\mathrm{h}+{}_2^4\mathrm{H}\mathrm{e}$
	<chem>^{146}_{62}Sm -> ^{142}_{60}Nd + ^{4}_{2}He + 2{,}529 MeV</chem>	${\phantom{A}}_{\phantom{62}}^{\phantom{146}}{\phantom{A}}_{\phantom{2}62}^{\phantom{2}146}\mathrm{S}\mathrm{m}⟶{\phantom{A}}_{\phantom{60}}^{\phantom{142}}{\phantom{A}}_{\phantom{2}60}^{\phantom{2}142}\mathrm{N}\mathrm{d}+{\phantom{A}}_{\phantom{2}}^{\phantom{4}}{\phantom{A}}_{\phantom{2}2}^{\phantom{2}4}\mathrm{H}\mathrm{e}+2\text{,}{\phantom{A}}_{529}\mathrm{M}\mathrm{e}\mathrm{V}$
	<chem>^{198}_{79}Au -> ^{198}_{80}Hg</chem><math>\, + \mathrm{e}^{-}+ \overline{\nu}_e </math>	${\phantom{A}}_{\phantom{79}}^{\phantom{198}}{\phantom{A}}_{\phantom{2}79}^{\phantom{2}198}\mathrm{A}\mathrm{u}⟶{\phantom{A}}_{\phantom{80}}^{\phantom{198}}{\phantom{A}}_{\phantom{2}80}^{\phantom{2}198}\mathrm{H}\mathrm{g}$$+{\mathrm{e}}^{-}+{\bar{\nu }}_e$
	<math>{}^{198}_{\ 79} \mathrm {Au} \to {}^{198}_{\ 80} \mathrm {Hg} + \mathrm{e}^{-}+ \overline{\nu}_e </math>	${}_{79}^{198}\mathrm{A}\mathrm{u}\to {}_{80}^{198}\mathrm{H}\mathrm{g}+{\mathrm{e}}^{-}+{\bar{\nu }}_e$
	<math>{}^{40}_{19} \mathrm {K} \to {}^{40}_{18} \mathrm {Ar} + \mathrm{e}^{+} + \nu_e </math>	${}_{19}^{40}\mathrm{K}\to {}_{18}^{40}\mathrm{A}\mathrm{r}+{\mathrm{e}}^{+}+{\nu }_e$
	<math>{}^{A}_{Z} \mathrm {X} \to {}^{A-4}_{Z-2} \mathrm {Y} + {}^{4}_{2} \mathrm {He} + \Delta E </math>	${}_Z^A\mathrm{X}\to {}_{Z-2}^{A-4}\mathrm{Y}+{}_2^4\mathrm{H}\mathrm{e}+\mathrm{\Delta }E$
	<math>{}^{A}_{Z} \mathrm {X} \to {}^{A}_{Z+1} \mathrm {Y} + \mathrm{e}^{-} \mathrm + \overline{\nu}_e</math>	${}_Z^A\mathrm{X}\to {}_{Z+1}^A\mathrm{Y}+{\mathrm{e}}^{-}\mathrm{+}{\bar{\nu }}_e$
	<math>\hbox{n}\to\hbox{p}+\hbox{e}^-+\overline{\nu}_{\mathrm{e}}</math>	$\text{n}\to \text{p}+{\text{e}}^{-}+{\bar{\nu }}_{\mathrm{e}}$
	<math>{}^1_0\hbox{n}\;\to\;{}^1_1\hbox{p}\;+\;_{-}{}^0_{1}\hbox{e}\;+\;\bar{\nu}_e </math><nowiki>	${}_0^1\text{n}\to {}_1^1\text{p}+{}_{-}{}_1^0\text{e}+{\overline{\nu }}_e$
	<math>{}^{137}\mathrm{Ba}^{*} \rightarrow {}^{137}\mathrm{Ba} + \gamma</math>	${}^{137}{\mathrm{B}\mathrm{a}}^{*}\to {}^{137}\mathrm{B}\mathrm{a}+\gamma$
	<math>{}^{14}_{\ 6}\mathrm{C} \rightarrow {}^{14}_{\ 7}\mathrm{N} + {}^{\ 0}_{-1}\mathrm{e} + \bar{\nu}_\mathrm{e} </math>	${}_6^{14}\mathrm{C}\to {}_7^{14}\mathrm{N}+{}_{-1}^0\mathrm{e}+{\overline{\nu }}_{\mathrm{e}}$
	<math>{}^1_1\hbox{p}\;\to\;{}^1_0\hbox{n}\;+\;_{+}{}^0_{1}\hbox{e}\;+\;\nu_e </math>	${}_1^1\text{p}\to {}_0^1\text{n}+{}_{+}{}_1^0\text{e}+{\nu }_e$
	<math>{}^{22}_{11}\mathrm{Na} \rightarrow {}^{22}_{10}\mathrm{Ne} + {}^{\ 0}_{+1}\mathrm{e} + \nu_\mathrm{e}</math>	${}_{11}^{22}\mathrm{N}\mathrm{a}\to {}_{10}^{22}\mathrm{N}\mathrm{e}+{}_{+1}^0\mathrm{e}+{\nu }_{\mathrm{e}}$
Kernereaktioner	<math>{}^1_0\hbox{n}\;\to\;{}^1_1\hbox{p}\;+\;_{-}{}^0_{1}\hbox{e}\;+\;\bar{\nu}_e </math>	${}_0^1\text{n}\to {}_1^1\text{p}+{}_{-}{}_1^0\text{e}+{\overline{\nu }}_e$
	<math>{}^{14}_{\ 6}\mathrm{C} \rightarrow {}^{14}_{\ 7}\mathrm{N} + {}^{\ 0}_{-1}\mathrm{e} + \bar{\nu}_\mathrm{e} </math>	${}_6^{14}\mathrm{C}\to {}_7^{14}\mathrm{N}+{}_{-1}^0\mathrm{e}+{\overline{\nu }}_{\mathrm{e}}$
	<math>{}^1_1\hbox{p}\;\to\;{}^1_0\hbox{n}\;+\;_{+}{}^0_{1}\hbox{e}\;+\;\nu_e </math>	${}_1^1\text{p}\to {}_0^1\text{n}+{}_{+}{}_1^0\text{e}+{\nu }_e$
	<math>{}^{22}_{11}\mathrm{Na} \rightarrow {}^{22}_{10}\mathrm{Ne} + {}^{\ 0}_{+1}\mathrm{e} + \nu_\mathrm{e} </math>	${}_{11}^{22}\mathrm{N}\mathrm{a}\to {}_{10}^{22}\mathrm{N}\mathrm{e}+{}_{+1}^0\mathrm{e}+{\nu }_{\mathrm{e}}$
	<math>{}^{238}_{\ 92} \mathrm U \to {}^{234}_{\ 90} \mathrm{Th} + \;{}^4_2\mathrm{He}</math>	${}_{92}^{238}\mathrm{U}\to {}_{90}^{234}\mathrm{T}\mathrm{h}+{}_2^4\mathrm{H}\mathrm{e}$

Kemiske formler

Emne	<chem>...</chem> syntaks	Resultat
Tekst med formler	Hvis <chem>H3O+</chem> aftager, så må <chem>CH3CO2H</chem> vokse og <chem>CH3CO2-</chem> må aftage. Bemærk, at et minustegn i koden skal skrives som en bindestreg (der er let tilgængelig på tastaturet)...	Hvis $\mathrm{H}{\phantom{A}}_3\mathrm{O}{\phantom{A}}^{+}$ aftager, så må $\mathrm{C}\mathrm{H}{\phantom{A}}_3\mathrm{C}\mathrm{O}{\phantom{A}}_2\mathrm{H}$ vokse og $\mathrm{C}\mathrm{H}{\phantom{A}}_3\mathrm{C}\mathrm{O}{\phantom{A}}_2{\phantom{A}}^{-}$ må aftage. ... men vises som et minustegn (hvilket er korrekt).
Formler og reaktioner	<chem>(NH4)2S</chem> <chem>CO3^{2-}(aq)</chem> <chem>KCr(SO4)2*12H2O</chem> <chem>C6H5-CHO</chem> <chem>A-B=C#D</chem> <chem>Fe^{II}Fe^{III}2O4</chem> <chem>[Fe(\eta^5-C5H5)2]</chem> <chem>HA + B -> A + HB</chem> <chem>NaCl + AgNO3 -> NaNO3 + AgCl(v)</chem> <chem>Mg + 2H2O -> Mg(OH)2 + H2 (^)</chem> <chem>Pb(NO3)2 + 2KI -> PbI2(v) + 2KNO3</chem> <chem>\underset{syre}{HA} + \underset{base}{B} <=> \underset{korresponderende\ base}{A^-} + \underset{korresponderende\ syre}{HB+}</chem> <chem>CaSO4.1/2H2O + 1\!1/2 H2O -> CaSO4.2H2O</chem> <chem>{C_\mathit{x} \, H_\mathit{y}} + \mathit{z} \, O2 -> {\mathit{x}CO2} + \frac{\mathit{y}}{2}H2O</chem> <chem>^{227}_{90}Th+</chem> <chem>^{238}_{92}U -> ^{234}_{90}Th + ^{4}_{2}He</chem>	$(\mathrm{N}\mathrm{H}{\phantom{A}}_4){\phantom{A}}_2\mathrm{S}$ $\mathrm{C}\mathrm{O}{\phantom{A}}_3{\phantom{A}}^{2-}(\mathrm{a}\mathrm{q})$ $\mathrm{K}\mathrm{C}\mathrm{r}(\mathrm{S}\mathrm{O}{\phantom{A}}_4){\phantom{A}}_2\cdot 12\mathrm{H}{\phantom{A}}_2\mathrm{O}$ $\mathrm{C}{\phantom{A}}_6\mathrm{H}{\phantom{A}}_5-\mathrm{C}\mathrm{H}\mathrm{O}$ $\mathrm{A}-\mathrm{B}=\mathrm{C}\equiv \mathrm{D}$ $\mathrm{F}\mathrm{e}{\phantom{A}}^{\mathrm{I}\mathrm{I}}\mathrm{F}\mathrm{e}{\phantom{A}}^{\mathrm{I}\mathrm{I}\mathrm{I}}{\phantom{A}}_2\mathrm{O}{\phantom{A}}_4$ $[\mathrm{F}\mathrm{e}(\mathrm{\eta }{\phantom{A}}^5\text{-}\mathrm{C}{\phantom{A}}_5\mathrm{H}{\phantom{A}}_5){\phantom{A}}_2]$ $\mathrm{H}\mathrm{A}+\mathrm{B}⟶\mathrm{A}+\mathrm{H}\mathrm{B}$ $\mathrm{N}\mathrm{a}\mathrm{C}\mathrm{l}+\mathrm{A}\mathrm{g}\mathrm{N}\mathrm{O}{\phantom{A}}_3⟶\mathrm{N}\mathrm{a}\mathrm{N}\mathrm{O}{\phantom{A}}_3+\mathrm{A}\mathrm{g}\mathrm{C}\mathrm{l}(\mathrm{v})$ $\mathrm{M}\mathrm{g}+2\mathrm{H}{\phantom{A}}_2\mathrm{O}⟶\mathrm{M}\mathrm{g}(\mathrm{O}\mathrm{H}){\phantom{A}}_2+\mathrm{H}{\phantom{A}}_2\uparrow$ $\mathrm{P}\mathrm{b}(\mathrm{N}\mathrm{O}{\phantom{A}}_3){\phantom{A}}_2+2\mathrm{K}\mathrm{I}⟶\mathrm{P}\mathrm{b}\mathrm{I}{\phantom{A}}_2(\mathrm{v})+2\mathrm{K}\mathrm{N}\mathrm{O}{\phantom{A}}_3$ $\underset{\mathrm{s}\mathrm{y}\mathrm{r}\mathrm{e}}{\mathrm{H}\mathrm{A}}+\underset{\mathrm{b}\mathrm{a}\mathrm{s}\mathrm{e}}{\mathrm{B}}\stackrel{-\rightharpoonup }{\leftharpoondown -}\underset{\mathrm{k}\mathrm{o}\mathrm{r}\mathrm{r}\mathrm{e}\mathrm{s}\mathrm{p}\mathrm{o}\mathrm{n}\mathrm{d}\mathrm{e}\mathrm{r}\mathrm{e}\mathrm{n}\mathrm{d}\mathrm{e}\mathrm{b}\mathrm{a}\mathrm{s}\mathrm{e}}{\mathrm{A}{\phantom{A}}^{-}}+\underset{\mathrm{k}\mathrm{o}\mathrm{r}\mathrm{r}\mathrm{e}\mathrm{s}\mathrm{p}\mathrm{o}\mathrm{n}\mathrm{d}\mathrm{e}\mathrm{r}\mathrm{e}\mathrm{n}\mathrm{d}\mathrm{e}\mathrm{s}\mathrm{y}\mathrm{r}\mathrm{e}}{\mathrm{H}\mathrm{B}{\phantom{A}}^{+}}$ $\mathrm{C}\mathrm{a}\mathrm{S}\mathrm{O}{\phantom{A}}_4\cdot \frac{1}{2}\mathrm{H}{\phantom{A}}_2\mathrm{O}+1\frac{1}{2}\mathrm{H}{\phantom{A}}_2\mathrm{O}⟶\mathrm{C}\mathrm{a}\mathrm{S}\mathrm{O}{\phantom{A}}_4\cdot 2\mathrm{H}{\phantom{A}}_2\mathrm{O}$ Fejl i matematikken (syntaksfejl): {\displaystyle \ce{{C_\mathit{x} \, H_\mathit{y}} + \mathit{z} \, O2 -> {\mathit{x}CO2} + \frac{\mathit{y}}{2}H2O}} ${\phantom{A}}_{\phantom{90}}^{\phantom{227}}{\phantom{A}}_{\phantom{2}90}^{\phantom{2}227}\mathrm{T}\mathrm{h}{\phantom{A}}^{+}$ ${\phantom{A}}_{\phantom{92}}^{\phantom{238}}{\phantom{A}}_{\phantom{2}92}^{\phantom{2}238}\mathrm{U}⟶{\phantom{A}}_{\phantom{90}}^{\phantom{234}}{\phantom{A}}_{\phantom{2}90}^{\phantom{2}234}\mathrm{T}\mathrm{h}+{\phantom{A}}_{\phantom{2}}^{\phantom{4}}{\phantom{A}}_{\phantom{2}2}^{\phantom{2}4}\mathrm{H}\mathrm{e}$
Ligninger med kemiske formler	<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>	$K=\frac{\{\mathrm{C}\mathrm{H}{\phantom{A}}_3\mathrm{C}\mathrm{O}{\phantom{A}}_2{\phantom{A}}^{-}\}\{\mathrm{H}{\phantom{A}}_3\mathrm{O}{\phantom{A}}^{+}\}}{\{\mathrm{C}\mathrm{H}{\phantom{A}}_3\mathrm{C}\mathrm{O}{\phantom{A}}_2\mathrm{H}\}}$ ${\mathrm{\Delta }}_{\mathrm{r}}{G}_{T,p}=\sum _{i=1}^k{\mu }_i^{\ominus }\cdot {\nu }_i+R\cdot T\cdot \ln \frac{\{\mathrm{S}{\}}^{\sigma }\cdot \{\mathrm{T}{\}}^{\tau }}{\{\mathrm{A}{\}}^{\alpha }\cdot \{\mathrm{B}{\}}^{\beta }}$
Generel reaktionsligning	<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>	$\mathrm{\alpha }{\phantom{A}}_1\mathrm{R}{\phantom{A}}_1+\mathrm{\alpha }{\phantom{A}}_2\mathrm{R}{\phantom{A}}_2+\dots +\mathrm{\alpha }{\phantom{A}}_{\mathrm{i}}\mathrm{R}{\phantom{A}}_{\mathrm{i}}+\dots \to \mathrm{\nu }{\phantom{A}}_1\mathrm{P}{\phantom{A}}_1+\mathrm{\nu }{\phantom{A}}_2\mathrm{P}{\phantom{A}}_2+\dots +\mathrm{\nu }{\phantom{A}}_{\mathrm{j}}\mathrm{P}{\phantom{A}}_{\mathrm{j}}+\dots$
	<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>	${\alpha }_1{\mathrm{R}}_{\mathrm{1}}\mathrm{+}{\mathrm{\alpha }}_{\mathrm{2}}{\mathrm{R}}_{\mathrm{2}}\mathrm{+}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{+}{\mathrm{\alpha }}_{\mathrm{i}}{\mathrm{R}}_{\mathrm{i}}\mathrm{+}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{\to }{\mathrm{\nu }}_{\mathrm{1}}{\mathrm{P}}_{\mathrm{1}}\mathrm{+}{\mathrm{\nu }}_{\mathrm{2}}{\mathrm{P}}_{\mathrm{2}}\mathrm{+}\mathrm{.}\mathrm{.}\mathrm{.}\mathrm{+}{\mathrm{\nu }}_{\mathrm{j}}{\mathrm{P}}_{\mathrm{j}}\mathrm{+}\mathrm{.}\mathrm{.}\mathrm{.}$

Eksempler på kemiske formler

$\alpha \cdot {\mu }_{\mathrm{A}}+\beta \cdot {\mu }_{\mathrm{B}}=\sigma \cdot {\mu }_{\mathrm{S}}+\tau \cdot {\mu }_{\mathrm{T}}$

$\text{d}G=V\cdot \text{d}p-S\cdot \text{d}T+\sum _{i=1}^k{\mu }_i\cdot \text{d}{N}_i$.

${\mathrm{\Delta }}_{\mathrm{r}}{G}_{T,p}=\sigma \cdot {\mu }_{\mathrm{S}}+\tau \cdot {\mu }_{\mathrm{T}}-\alpha \cdot {\mu }_{\mathrm{A}}-\beta \cdot {\mu }_{\mathrm{B}}$.

$\begin{array}{cc}{\mathrm{\Delta }}_{\mathrm{r}}{G}_{T,p}& =((\sigma \cdot {\mu }_{\mathrm{S}}^{\ominus }+\tau \cdot {\mu }_{\mathrm{T}}^{\ominus })-(\alpha \cdot {\mu }_{\mathrm{A}}^{\ominus }+\beta \cdot {\mu }_{\mathrm{B}}^{\ominus })\\ & +(\sigma \cdot R\cdot T\cdot \ln \{\mathrm{S}\}+\tau \cdot R\cdot T\cdot \ln \{\mathrm{T}\})\\ & -(\alpha \cdot R\cdot T\cdot \ln \{\mathrm{A}\}+\beta \cdot R\cdot T\cdot \ln \{\mathrm{B}\})\\ \end{array}$

$\sum _{i=1}^k{\mu }_i^{\ominus }\cdot {\nu }_i={\mathrm{\Delta }}_{\mathrm{r}}{G}^{\ominus }$