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aus ZUM Wiki Der Text steht unter der dort gültigen Lizenz: Creative Commons: Namensnennung-Weitergabe unter gleichen Bedingungen 3.0 Deutschland; 01.11.2008}}
Mathematische Formeln darstellen
Allgemeine Erklärung
Die Media-Wiki-Software, mit der das ZUM-Wiki betrieben wird, bietet die Möglichkeit an, Formeln anzugeben. Benutzt werden dabei Befehle wie im Schriftsatz-System Latex.
So können auch mit Latex erstellte mathematische Formeln dargestellt werden:
\int \cos\left(x\right)\, \sin\left(x\right) \,\mathrm{d} x = -\frac{\cos\left(2\, x\right)}{4}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int \cos\left(x\right)\, \sin\left(x\right) \,\mathrm{d} x = -\frac{\cos\left(2\, x\right)}{4}}
TEST der darstellbaren Zeichen
Die folgenden Absätze stammen von http://www.wikischool.de/wiki/WikiSchool:TeX
Andere Auflistung:
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| Standard | abcdefg | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle abcdefg } |
| Fett (bold) | \mathbf{abcdefg} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbf{abcdefg}} |
| Kursiv (italic) | \mathit{abcdefg}, veraltend: {\it abcdefg} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathit{abcdefg}\,{\it abcdefg}} |
| Antiqua (roman) | \mathrm{abcdefg}, veraltend: {\rm abcdefg} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathrm{abcdefg}\,{\rm abcdefg}} |
| Sans Serif | \mathsf{abcdefg} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathsf{abcdefg}} |
| Fraktur (Schrift) | \mathfrak{abcdefg} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathfrak{abcdefg}} |
| \mathfrak{ABCDEFG} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathfrak{ABCDEFG}} | |
| Kalligraphische Symbole | \mathcal{abcdefghijklm}
\mathcal{nopqrstuvwxyz} |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathcal{abcdefghijklm}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathcal{nopqrstuvwxyz}} |
| \mathcal{ABCDEFGHIJKLM}
\mathcal{NOPQRSTUVWXYZ} |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathcal{ABCDEFGHIJKLM}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathcal{NOPQRSTUVWXYZ}} | |
| Zahlenbereiche | \mathbb{N}\mathbb{Z}\mathbb{Q}\mathbb{R}
\mathbb{C}\mathbb{H}\mathbb{F} |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{N}\mathbb{Z}\mathbb{Q}\mathbb{R}\mathbb{C}\mathbb{H}\mathbb{F}} |
| Griechische Buchstaben | \alpha \beta \gamma \delta \epsilon \varepsilon \zeta \eta \theta \vartheta \iota \kappa \lambda \mu \nu
\xi o \pi \varpi \rho \varrho \sigma \varsigma \tau \upsilon \phi \varphi \chi \psi \omega |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha\ \beta\ \gamma\ \delta\ \epsilon\ \varepsilon\ \zeta\ \eta\ \theta\ \vartheta\ \iota\ \kappa\ \lambda\ \mu\ \nu}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \xi\ o\ \pi\ \varpi\ \rho\ \varrho\ \sigma\ \varsigma\ \tau\ \upsilon\ \phi\ \varphi\ \chi\ \psi\ \omega} |
| \Gamma \Delta \Theta \Lambda \Xi \Pi \Sigma \Upsilon \Phi \Psi \Omega | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Gamma\ \Delta\ \Theta\ \Lambda\ \Xi\ \Pi\ \Sigma\ \Upsilon\ \Phi\ \Psi\ \Omega} | |
| Imaginärteil, Realteil | \Im\Re (besser: \operatorname{Re},\operatorname{Im}) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Im\Re} (besser: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \operatorname{Re},\operatorname{Im}} ) |
| Hebräisches Alphabet | \daleth\gimel\beth\aleph | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \daleth\gimel\beth\aleph} |
| Funktionsnamen | \sin x (wenn nicht vorhanden: \operatorname{arsinh}) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sin x~({\rm falsch:}~sin x),~\operatorname{arsinh}} |
| Text, Worte und Wortteile | Schrift, die nicht für Variablen u. ä. steht, immer mit \mathrm{...} (veraltet: {\rm ...}) setzen, dann stimmt auch die Größe: U_\mathrm{Gesamt}
\text{...} funktioniert in Wikitech leider nicht. |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle U_\mathrm{Gesamt},~x_\mathrm{max},~\cos x=1~\mathrm{wenn}~x=0 } |
Sonderzeichen in TeX
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| Ableitungen | \nabla \partial \mathrm{d} x | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \nabla \;\partial \;\mathrm{d} x} |
| Wurzeln | \sqrt{2}\approx 1{,}4 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt{2}\approx 1{,}4} |
| \sqrt[n]{x} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sqrt[n]{x}} | |
| Winkelgrad | 360^\circ | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 360^\circ} |
| Grad Celsius | 100\,^{\circ}\mathrm{C} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 100\,^{\circ}\mathrm{C}} |
| Durchmesserzeichen oder leere Menge | \varnothing | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varnothing} |
| Sonstige Zeichen (Auswahl) | \AA \angle \backslash \bot \Box \clubsuit \Diamond \diamondsuit \ell \empty \emptyset \infty \exists \flat
\forall \hbar \heartsuit \imath \mho \natural \neg \prime \# \sharp \spadesuit \top \triangle \wp |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \AA \angle \backslash \bot \Box \clubsuit \Diamond \diamondsuit \ell \empty \emptyset \infty \exists \flat}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \forall \hbar \heartsuit \imath \mho \natural \neg \prime \# \sharp \spadesuit \top \triangle \wp } |
Hinweis
| Zahl mit Komma (richtig) | 3{,}14 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3{,}14\,} |
| Zahl mit Komma (falsch) | 3,14 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 3,14\,} |
Mathematische Symbole
Binäre Operatoren und Vergleiche
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Hoch- und Tiefstellungen
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| hochgestellt | a^2 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a^2} |
| tiefgestellt | a_2 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_2 } |
| Gruppierung | a^{2+2} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a^{2+2}} |
| a_{i, j} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a_{i, j}} | |
| Kombination hoch & tief | sowohl x_2^3 als auch x^3_2 ergibt | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x_2^3} |
| Folge von hoch & tief | {x_2}^3, {x^3}_2 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {x_2}^3,\,{x^3}_2} |
| Ableitung (richtig) | x' | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x'} |
| Ableitung (auch richtig) | x^\prime | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x^\prime} |
| Ableitung (falsch) | x\prime | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle x\prime} |
| Summe | \sum_{k=1}^N k^2 | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{k=1}^N k^2} |
| mehrzeilige Summationsgrenzen | \sum_{k\in M,\atop k>5} k | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sum_{k\in M,\atop k>5} k} |
| Produkt | \prod_{i=1}^N x_i | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \prod_{i=1}^N x_i} |
| Vereinigung | \bigcup_{\lambda\in\Lambda} A_\lambda | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bigcup_{\lambda\in\Lambda} A_\lambda } |
| Durchschnitt | \bigcap_{\lambda\in\Lambda} A_\lambda | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bigcap_{\lambda\in\Lambda} A_\lambda } |
| Limes | \lim_{n \to \infty}x_n | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lim_{n \to \infty}x_n} |
| Exponentialfunktion | e^{- \alpha \cdot x^2} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle e^{- \alpha \cdot x^2} } |
| Integral | \int_{-N}^{N} e^x\, \mathrm{d}x | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int_{-N}^{N} e^x\,\mathrm{d}x} (platzsparend) |
| Integral | \int\limits_{-N}^{N} e^x\, \mathrm{d}x | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int\limits_{-N}^{N} e^x\, \mathrm{d}x} |
| Mehrfachintegral | \iint_a^b \iiint_a^b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \iint_a^b \iiint_a^b} |
| Ringintegral | \oint_c | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \oint_c} |
| A adjungiert | A^\dagger | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle A^\dagger} |
Logische Quantoren
Hinweis: Die Verwendung von Quantoren schränkt die Verständlichkeit für Laien und die Lesbarkeit stark ein. Quantoren werden außerhalb der Grundlagen der Mathematik im Regelfall nur als Kurzschreibweise beispielsweise an der Tafel, nicht jedoch in Lehrbüchern oder Fachartikeln verwendet.
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| für alle x | \forall x \, A(x) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \forall x \, A(x)} |
| es gibt ein x | \exists x \, A(x) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \exists x \, A(x)} |
| alternativ: | ||
| für alle x | \bigwedge_{x} A(x) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bigwedge_{x} A(x)} |
| es gibt ein x | \bigvee_{x} A(x) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bigvee_{x} A(x)} |
Mathematische Akzente
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| Vektorpfeil | \vec a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vec a} |
| Zeitableitung | \dot a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot a} |
| Umlaute | \ddot a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ddot a} |
| Vektor-Zeitableitung | \dot\vec a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \dot\vec a} |
| a quer | \bar a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \bar a} |
| a Tilde | \tilde a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \tilde a} |
| a Dach | \hat a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \hat a} |
| Akzent Grave | \grave a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \grave a} |
| Akzent Acute | \acute a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \acute a} |
| Hatschek | \check a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \check a} |
| Breve | \breve a | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \breve a} |
| a slash | a\!\!\!/ | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a\!\!\!/} |
Sonstige Markierungen
| Darzustellendes Symbol | Syntax | So sieht's gerendert aus |
|---|---|---|
| Überstreichen | \overline { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overline { ABC }} |
| Unterstreichen | \underline { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \underline { ABC }} |
| Pfeil drüber | \overrightarrow { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overrightarrow { ABC }} |
| Pfeil drüber | \overleftarrow { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overleftarrow { ABC }} |
| Dach drüber | \widehat { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \widehat { ABC }} |
| Klammer drüber | \overbrace { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \overbrace { ABC }} |
| Klammer drunter | \underbrace { ... } | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \underbrace { ABC }} |
Funktionsnamen
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Hinweis zu den Funktionsnamen
| Standardfunktionen (richtig) | \sin x + \ln y +\operatorname{sgn}\, z | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sin x + \ln y +\operatorname{sgn}\, z} |
| Standardfunktionen (falsch) | sin x + ln y + sgn z | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle sin x + ln y + sgn z\,} |
Brüche, Matrizen, mehrzeilige Gleichungen
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| Brüche | \frac{2}{4} oder {2 \over 4} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \frac{2}{4}} |
| Binomialkoeffizienten | {n \choose k} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n \choose k}} |
| Matrizen | \begin{pmatrix} x & y \\ z & v \end{pmatrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{pmatrix} x & y \\ z & v \end{pmatrix}} |
| \begin{bmatrix} 0 & \cdots & 1 \\ \vdots & \ddots & \vdots \\ 2 & \cdots & 3\end{bmatrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{bmatrix} 0 & \cdots & 1 \\ \vdots & \ddots & \vdots \\ 2 & \cdots & 3\end{bmatrix} } | |
| \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{Bmatrix} x & y \\ z & v \end{Bmatrix}} | |
| \begin{vmatrix} x & y \\ z & v \end{vmatrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{vmatrix} x & y \\ z & v \end{vmatrix}} | |
| \begin{Vmatrix} x & y \\ z & v \end{Vmatrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{Vmatrix} x & y \\ z & v \end{Vmatrix}} | |
| \begin{matrix} x & y \\ z & v \end{matrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{matrix} x & y \\ z & v \end{matrix}} | |
| Fallunterscheidungen | f(n)=\begin{cases} n/2, & \mbox{wenn }n\mbox{ gerade} \\ 3n+1, & \mbox{wenn }n\mbox{ ungerade} \end{cases} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(n)=\begin{cases} n/2, & \mbox{wenn }n\mbox{ gerade} \\ 3n+1, & \mbox{wenn }n\mbox{ ungerade} \end{cases} } |
| mehrzeilige Gleichungen | \begin{matrix}f(n+1)&=& (n+1)^2 \\ \ &=& n^2 + 2n + 1\end{matrix} | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \begin{matrix}f(n+1)&=& (n+1)^2 \\ \ &=& n^2 + 2n + 1\end{matrix}} |
Klammern und Begrenzungssymbole
Runde oder eckige Klammern können im Regelfall einfach wie gewohnt eingegeben werden (f(x),a[y]: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle f(x),a[y]\,} ). Geschweifte Klammern erhält man mit \{ und \}, spitze Klammern mit \langle und \rangle (nicht < und >):
richtig: 1=\langle x,y\rangle falsch: 1=<x,y> richtig: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1=\langle x,y\rangle\,} falsch: Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 1=<x,y>\,}
Sollen die Klammern größere Objekte wie z.B. Brüche umschließen, muss man das durch \left und \right ankündigen:
- \left( \frac{x+2}{x^3+7} \right\rangle
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left( \frac{x+2}{x^3+7} \right\rangle}
\left und \right müssen paarweise auftreten. Wenn auf einer Seite keine Klammer oder Begrenzungssymbol stehen soll, so folgt einfach ein Punkt \left. oder \right. nach dem left oder right Befehl. (Für den Spezialfall einer Fallunterscheidung gibt es die Umgebung cases, siehe oben.)
Liste der Begrenzungssymbole
| Darzustellen | Syntax | So sieht's gerendert aus |
|---|---|---|
| Runde Klammern | (A) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (A)} |
| Eckige Klammern | [A]
\lbrack \rbrack |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle [A]}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lbrack \rbrack} |
| Geschweifte Klammern | \{ A\}
\lbrace \rbrace |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \{ A\}}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lbrace \rbrace} |
| Abrundungsklammer | \lfloor A \rfloor | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lfloor A \rfloor} |
| Aufrundungsklammer | \lceil A \rceil | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \lceil A \rceil} |
| Gewinkelte Klammern | \langle A \rangle | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \langle A \rangle} |
| Betragsstriche | \left| A \right|
\vert |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left| A \right|}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \vert } |
| Matrix | \| A t\|
\Vert |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \| A \|}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Vert } |
| Verwendung von \left. und \right., wenn man keinen Abgrenzer anzeigen will : | \left. {A \over B} \right\} \to X | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left. {A \over B} \right\} \to X} |
große Ausdrücke in Klammern
| Unschön | ( \frac{1}{2} ) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ( \frac{1}{2} ) } |
| Besser | \left( \frac{1}{2} \right) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left ( \frac{1}{2} \right ) } |
Pfeile
|
|
|
Platz zwischen Zeichen
Für manuelle Kontrolle der Leerzeichen stellt Tex folgende Befehle zur Verfügung.
| Darzustellende Leerzeichen | Syntax | So sieht’s gerendert aus |
|---|---|---|
| 8-fach | a \qquad b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a \qquad b} |
| 4-fach | a \quad b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a \quad b} |
| viel Platz | a\ b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a\ b} |
| mittel Platz | a\;b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a\;b} |
| wenig Platz | a\,b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a\,b} |
| kein Platz | ab | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ab\,} |
| negativer Platz | a\!b | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle a\!b} |
Vertikale Ausrichtung
Im Standard-CSS wird der folgende Befehl verwendet:
img.tex { vertical-align: middle; }
Eine Formel wie Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \int_{-N}^{N} e^x\, dx} wird damit korrekt ausgerichtet.
Wenn das nicht funktioniert kann man stattdessen <font style="vertical-align:-100%;"><math>...</math></font> verwenden und den Wert von vertical-align verändern bis die Ausrichtung stimmt. Jedoch kann die Ausrichtung stark vom verwendeten Webbrowser abhängig sein.
Weitere Beispiele
| Angabe | Syntax | Wie es aussieht |
|---|---|---|
| Schlecht | ( \frac{1}{2} ) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ( \frac{1}{2} )} |
| Gut | \left ( \frac{1}{2} \right ) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left ( \frac{1}{2} \right )} |
Man kann verschiedene Begrenzungen verwenden mit \left und \right:
| Angabe | Syntax | Wie es aussieht | |
|---|---|---|---|
| runde Klammern | \left ( \frac{a}{b} \right ) | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left ( \frac{a}{b} \right )} | |
| eckige Klammern | \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left [ \frac{a}{b} \right ] \quad \left \lbrack \frac{a}{b} \right \rbrack} | |
| geschweifte Klammern | \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \{ \frac{a}{b} \right \} \quad \left \lbrace \frac{a}{b} \right \rbrace} | |
| spitze Klammern | \left \langle \frac{a}{b} \right \rangle | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \langle \frac{a}{b} \right \rangle} | |
| senkrechte Striche und Doppelstriche | \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \| | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left | \frac{a}{b} \right \vert \left \Vert \frac{c}{d} \right \|} | |
| nach unten oder oben offene Klammern: | \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \lfloor \frac{a}{b} \right \rfloor \left \lceil \frac{c}{d} \right \rceil} | |
| Schrägstriche | \left / \frac{a}{b} \right \backslash | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left / \frac{a}{b} \right \backslash} | |
| Aufwärts, abwärts Pfeile | \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left \uparrow \frac{a}{b} \right \downarrow \quad \left \Uparrow \frac{a}{b} \right \Downarrow \quad \left \updownarrow \frac{a}{b} \right \Updownarrow} | |
|
Begrenzer können auch gemischt werden, |
\left [ 0,1 \right ) |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left [ 0,1 \right )}
|
|
Verwende \left.und \right.wenn keine Klammer erscheinen soll: |
\left . \frac{A}{B} \right \} \to X | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \left . \frac{A}{B} \right \} \to X} | |
| Größe der Begrenzungen | \big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big] |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \big( \Big( \bigg( \Bigg( ... \Bigg] \bigg] \Big] \big]} |
|
| \big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \big\{ \Big\{ \bigg\{ \Bigg\{ ... \Bigg\rangle \bigg\rangle \Big\rangle \big\rangle} |
||
| \big\| \Big\| \bigg\| \Bigg\| ... \Bigg| \bigg| \Big| \big| | Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \big\| \Big\| \bigg\| \Bigg\| ... \Bigg| \bigg| \Big| \big|} | ||
| \big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor ... \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \big\lfloor \Big\lfloor \bigg\lfloor \Bigg\lfloor ... \Bigg\rceil \bigg\rceil \Big\rceil \big\rceil} |
||
| \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow |
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \big\uparrow \Big\uparrow \bigg\uparrow \Bigg\uparrow ... \Bigg\Downarrow \bigg\Downarrow \Big\Downarrow \big\Downarrow} |
||
Was nur teilweise geht
Binäre Operatoren
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \ominus \odot \oslash \ast \bigcirc \bigtriangledown \bigtriangleup \diamond \div \uplus}
\ominus, \odot, \oslash, \ast, \bigcirc, \bigtriangledown, \bigtriangleup, \diamond, \div, \lhd, \rhd, \unlhd, \uplus, \unrhd
Binäre Vergleiche
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \asymp \bowtie \dashv \doteq \prec \preceq \propto \sqsubseteq \sqsupseteq \succ \succeq}
\asymp, \bowtie, \dashv, \doteq, \Join, \prec, \preceq, \propto, \sqsubseteq, \sqsupseteq, \succ, \succeq
Negation
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \not\asymp \not\prec \not\sqsubseteq \not\sqsupseteq \not\succ \not\succeq}
\not\asymp, \not\prec, \not\preqeq, \not\sym, \not\sqsubseteq, \not\sqsupseteq, \not\succ, \not\succeq
Pfeile
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \leftharpoondown \leftharpoonup \rightharpoondown \rightharpoonup \rightleftharpoons \longleftrightarrow}
\leadsto \leftharpoondown \leftharpoonup \rightharpoondown \rightharpoonup \rightleftharpoons \longleftrightarrow
Klammern und Begrenzungssymbole
\lgroup \rgroup \lmoustache \rmoustache
Sonstige
| Funktion | kann ersetzt werden durch | Nachteil |
|---|---|---|
| \overset{x}{y} | \begin{matrix} {x} \\ {y} \\ \, \end{matrix} | x wird nicht verkleinert |
| \begin{array}{ll} | \begin{matrix} | wird zentriert ausgerichtet |
| \unit{nF} | {\rm nF}, \mbox{Text}, \mathrm{Text} | Fehlende Semantik |
| \text{Text} | {\rm Text}, \mbox{Text}, \mathrm{Text} | |
| {f\"{u}r} | {f{\ddot u}r} |
Fehler im Formelsubsystem von Wikipedia
Ein Fehler ist die Ausrichtung der Beschriftung bei Unterklammerung. Die Beschriftung erfolgt seitlich neben der Klammer statt zentriert unterhalb der Klammer.
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varphi(\vec r)\approx \underbrace{\frac{Q_{\rm ges}}{4\cdot\pi\cdot\varepsilon\cdot\Vert\vec r\Vert}}_{\rm Monopol-}+\underbrace{\frac{\vec r\cdot P_1}{4\cdot\pi\cdot\varepsilon\cdot\Vert\vec r\Vert^3}}_{\rm Dipolannaeherung}}
<math>\varphi(\vec r)\approx \underbrace{\frac{Q_{\rm ges}}{4\cdot\pi\cdot\varepsilon\cdot\Vert
\vec r\Vert}}_{\rm Monopol-}+\underbrace{\frac{\vec r\cdot P_1}{4\cdot\pi\cdot\varepsilon
\cdot\Vert\vec r\Vert^3}}_{\rm Dipolannaeherung}
</math>
Vermeiden kann man dieses Verhalten, in dem man die Umgebung \begin{matrix}...\end{matrix} anwendet, innerhalb derer einzelne Zeilen durch den Zeilenwechsel \\ abgetrennt und übereinander angeordnet werden:
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \varphi(\vec r)\approx \begin{matrix}\ \\ \underbrace{\frac{Q_{\rm ges}}{4\cdot\pi\cdot\varepsilon\cdot\Vert\vec r\Vert}} \\ \textrm{Monopolannaeherung} \end{matrix}+ \begin{matrix} \underbrace{\frac{\vec r\cdot P_1}{4\cdot\pi\cdot\varepsilon\cdot\Vert\vec r\Vert^3}} \\ {}^{\rm Dipolannaeherung}\\[-4.5ex] \end{matrix} }
<math>\varphi(\vec r)\approx
\begin{matrix}\ \\
\underbrace{\frac{Q_{\rm ges}}{4\cdot\pi\cdot\varepsilon\cdot\Vert\vec r\Vert}} \\
\textrm{Monopolannaeherung}
\end{matrix}+
\begin{matrix}
\underbrace{\frac{\vec r\cdot P_1}{4\cdot\pi\cdot\varepsilon\cdot\Vert\vec r\Vert^3}} \\
{}^{\rm Dipolannaeherung}\\[-4.5ex]
\end{matrix}
</math>
Nachteile (vgl. 1. Summand): (a) Die Beschriftung ist größer als gewünscht und (b) die Grundlinie der Formel wird verfälscht: nicht mehr die eigentliche Formel bildet die Grundlinie, sondern die Mitte der Matrixumgebung.
Abhilfe (vgl. 2. Summand): (a) Den Text als Superskript und mit \rm schreiben, also {}^{\rm ...}. (b) Vertikale Ausrichtung durch \\[neg. Abstand] nach der letzten Matrixzeile korrigieren.
Weblinks
- [1] - eine sehr ausführliche Hilfe zur Benutzung von mathematischen Zeichen mit TeX
- [2]: Von dort stammen die meisten der hier dargebotenen Informationen.
| Sprache: | English • Deutsch |
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