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Display information for equation id:math.1069.5 on revision:1069

* Page found: Affinier Raum (eq math.1069.5)

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Affinier Raum Eq: math.1070.5

Hash: 690e4e0cb23a10545fd7ba2f1e3c13da

TeX (original user input):

\begin{matrix}
  K:=\left( {{K}_{M}},+,\centerdot  \right) \\
  X:=\text{ K}_{\text{M}}^{\text{n}} \\
  T:=\left( K_{M}^{n},+,\centerdot  \right) \\
  \tau :K_{M}^{n}\times K_{M}^{n}\to K_{M}^{n} \\
  \left( t,x \right)\to t+x\text{ hier sei }+=+ \\
  \left( \left( \begin{align}
  & {{t}_{1}} \\
 & \vdots  \\
 & {{t}_{n}} \\
\end{align} \right),\left( \begin{align}
  & {{x}_{1}} \\
 & \vdots  \\
 & {{x}_{n}} \\
\end{align} \right) \right)\to \left( \begin{align}
  & {{t}_{1}}+{{x}_{1}} \\
 & \quad \vdots  \\
 & {{t}_{n}}+{{x}_{n}} \\
\end{align} \right) \\
\end{matrix}

TeX (checked):

{\begin{matrix}K:=\left({{K}_{M}},+,\centerdot \right)\\X:={\text{ K}}_{\text{M}}^{\text{n}}\\T:=\left(K_{M}^{n},+,\centerdot \right)\\\tau :K_{M}^{n}\times K_{M}^{n}\to K_{M}^{n}\\\left(t,x\right)\to t+x{\text{ hier sei }}+=+\\\left(\left({\begin{aligned}&{{t}_{1}}\\&\vdots \\&{{t}_{n}}\\\end{aligned}}\right),\left({\begin{aligned}&{{x}_{1}}\\&\vdots \\&{{x}_{n}}\\\end{aligned}}\right)\right)\to \left({\begin{aligned}&{{t}_{1}}+{{x}_{1}}\\&\quad \vdots \\&{{t}_{n}}+{{x}_{n}}\\\end{aligned}}\right)\\\end{matrix}}

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MathML (4.573 KB / 598 B) :

\begin{matrix} K := (K_{M}, +, \cdot) \\ X := K_{M}^{n} \\ T := (K_{M}^{n}, +, \cdot) \\ τ : K_{M}^{n} \times K_{M}^{n} \to K_{M}^{n} \\ (t, x) \to t + x hier sei + = + \\ ((\begin{matrix} t_{1} \\ ⋮ \\ t_{n} \end{matrix}), (\begin{matrix} x_{1} \\ ⋮ \\ x_{n} \end{matrix})) \to (\begin{matrix} t_{1} + x_{1} \\ ⋮ \\ t_{n} + x_{n} \end{matrix}) \end{matrix}

<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mi>K</mi><mo stretchy="false">:=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo>,</mo><mo stretchy="false">+</mo><mo>,</mo><mo stretchy="false" variantform="True">⋅</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd><mi>X</mi><mo stretchy="false">:=</mo><msubsup><mrow data-mjx-texclass="ORD"><mtext>&#xA0;K</mtext></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>M</mtext></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>n</mtext></mrow></mrow></msubsup></mtd></mtr><mtr><mtd><mi>T</mi><mo stretchy="false">:=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msubsup><mo>,</mo><mo stretchy="false">+</mo><mo>,</mo><mo stretchy="false" variantform="True">⋅</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd><mi>τ</mi><mo stretchy="false">:</mo><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msubsup><mo stretchy="false">×</mo><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msubsup><mo stretchy="false" accent="false">→</mo><msubsup><mi>K</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msubsup></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo>,</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false" accent="false">→</mo><mi>t</mi><mo stretchy="false">+</mo><mi>x</mi><mrow data-mjx-texclass="ORD"><mtext>&#xA0;hier sei&#xA0;</mtext></mrow><mo stretchy="false">+</mo><mo stretchy="false">=</mo><mo stretchy="false">+</mo></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⋮</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>,</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⋮</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false" accent="false">→</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">+</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mspace width="1em"></mspace><mo stretchy="false">⋮</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>t</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo stretchy="false">+</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mstyle></mrow></math>

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Identifiers

$K$

$K_{M}$

$X$

$T$

$K$

$M$

$n$

$τ$

$K$

$M$

$n$

$K$

$M$

$n$

$K$

$M$

$n$

$t$

$x$

$t$

$x$

$t_{1}$

$t_{n}$

$x_{1}$

$x_{n}$

$t_{1}$

$x_{1}$

$t_{n}$

$x_{n}$

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LaTeXML (experimentell; verwendet MathML) rendering

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