> For the complete documentation index, see [llms.txt](https://overleaf-pro.ayaka.space/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://overleaf-pro.ayaka.space/latex/da/matematik/12-mathematical-fonts.md). # Matematikfonte ## Introduktion Nogle matematiske elementer skal sættes med skrifttyper, der indeholder tegn/symboler i en bestemt stil; for eksempel er det almindeligt at repræsentere reelle tal med en blackboard bold-skrifttype (såsom $$\mathbb{R}$$), eller topologiske rum med kalligrafisk skrifttype (såsom ($$\mathcal{T}$$). Denne artikel viser, hvordan man bruger forskellige skrifttyper ved sats af matematik, med udgangspunkt i følgende eksempel: ```latex Lad \( \mathcal{T} \) være et topologisk rum; en basis defineres som \[ \mathcal{B} = \{B_{\alpha} \in \mathcal{T}\, |\, U = \bigcup B_{\alpha} \forall U \in \mathcal{T} \} \] ``` [Åbn dette eksempel i Overleaf](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Maths+typeface+example\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cbegin%7Bdocument%7D%0ALet+%5C%28+%5Cmathcal%7BT%7D+%5C%29+be+a+topological+space%2C+a+basis+is+defined+as%0A%5C%5B%0A+%5Cmathcal%7BB%7D+%3D+%5C%7BB_%7B%5Calpha%7D+%5Cin+%5Cmathcal%7BT%7D%5C%2C+%7C%5C%2C++U+%3D+%5Cbigcup+B_%7B%5Calpha%7D+%5Cforall+U+%5Cin+%5Cmathcal%7BT%7D+%5C%7D%0A%5C%5D%0A%5Cend%7Bdocument%7D) Dette eksempel giver følgende output: ![Eksempel på matematiske skrifttyper](/files/1f6de3b616454039c1c6a6ba292120543c82df9e) Brug af nogle matematiske skrifttyper kræver, at linjen `\usepackage{amssymb}` tilføjes til dokumentets præambel: se [`amsfonts` pakken](https://ctan.org/pkg/amsfonts) for yderligere information. ## Skrifttyper kun med store bogstaver Der er nogle skrifttyper, som kun understøtter et begrænset antal tegn; disse skrifttyper betegner normalt nogle særlige mængder. For eksempel kan du bruge `\(\mathbb{R}\)` for at frembringe $$\mathbb{R}$$. Følgende eksempel viser kalligrafiske, fraktur- og blackboard bold-skrifttyper: ```latex \documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \begin{document} \begin{align*} RQSZ \\ \mathcal{RQSZ} \\ \mathfrak{RQSZ} \\ \mathbb{RQSZ} \end{align*} \end{document} ``` [Åbn dette eksempel i Overleaf](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Using+different+math+fonts\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bamsmath%7D%0A%5Cusepackage%7Bamssymb%7D%0A%5Cbegin%7Bdocument%7D%0A%5Cbegin%7Balign%2A%7D%0ARQSZ+%5C%5C%0A%5Cmathcal%7BRQSZ%7D+%5C%5C%0A%5Cmathfrak%7BRQSZ%7D+%5C%5C%0A%5Cmathbb%7BRQSZ%7D%0A%5Cend%7Balign%2A%7D%0A%5Cend%7Bdocument%7D) Dette eksempel giver følgende output: ![Skift af skrifttyper ved sats af matematik](/files/6c1136ca53d6d8a513a46e0c58ed2af3d9835fba) ## Andre matematiske skrifttyper Det er muligt at vælge en anden skrifttypefamilie for et helt matematisk udtryk: ```latex \begin{align*} 3x^2 \in R \subset Q \\ \mathnormal{3x^2 \in R \subset Q} \\ \mathrm{3x^2 \in R \subset Q} \\ \mathit{3x^2 \in R \subset Q} \\ \mathbf{3x^2 \in R \subset Q} \\ \mathsf{3x^2 \in R \subset Q} \\ \mathtt{3x^2 \in R \subset Q} \end{align*} ``` [Åbn dette eksempel i Overleaf](https://www.overleaf.com/docs?engine=pdflatex\&snip_name=Using+a+font+family+for+mathematical+expressions\&snip=%5Cdocumentclass%7Barticle%7D%0A%5Cusepackage%7Bamsmath%7D%0A%5Cusepackage%7Bamssymb%7D%0A%5Cbegin%7Bdocument%7D%0A%5Cbegin%7Balign%2A%7D%0A3x%5E2+%5Cin+R+%5Csubset+Q+%5C%5C%0A%5Cmathnormal%7B3x%5E2+%5Cin+R+%5Csubset+Q%7D+%5C%5C%0A%5Cmathrm%7B3x%5E2+%5Cin+R+%5Csubset+Q%7D+%5C%5C%0A%5Cmathit%7B3x%5E2+%5Cin+R+%5Csubset+Q%7D+%5C%5C%0A%5Cmathbf%7B3x%5E2+%5Cin+R+%5Csubset+Q%7D+%5C%5C%0A%5Cmathsf%7B3x%5E2+%5Cin+R+%5Csubset+Q%7D+%5C%5C%0A%5Cmathtt%7B3x%5E2+%5Cin+R+%5Csubset+Q%7D%0A%5Cend%7Balign%2A%7D%0A%5Cend%7Bdocument%7D) Dette eksempel giver følgende output: ![Skift af skrifttyper ved sats af matematik](/files/0c98f31cfffea10ef859ba3873d77797c970bd7a) I dette tilfælde ændrer ikke kun bogstaver, men alle tegn, deres udseende; for eksempel `$\mathit{3x^2}$` kursiverer hele udtrykket for at frembringe $$\mathit{3x^2}$$. ## Yderligere læsning For mere information, se * [`amsfonts` pakkedokumentation](https://ctan.org/pkg/amsfonts) * [Matematiske udtryk](/latex/da/matematik/01-mathematical-expressions.md) * [Nedsænkede og hævede tegn](/latex/da/matematik/02-subscripts-and-superscripts.md) * [Fed skrift, kursiv og understregning](/latex/da/latex-grundlaeggende/03-bold-italics-and-underlining.md) * [Skriftstørrelser, skrifttypefamilier og stilarter](/latex/da/skrifttyper/01-font-sizes-families-and-styles.md) * [Skrifttyper](/latex/da/skrifttyper/02-font-typefaces.md) * [Tekstjustering](/latex/da/formatering/06-text-alignment.md) * [Den ikke helt korte introduktion til LaTeX2ε](http://www.ctan.org/tex-archive/info/lshort/) --- # Agent Instructions This documentation is published with GitBook. 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