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Display information for equation id:math.1072.11 on revision:1072
* Page found: Affinie Abbildung (eq math.1072.11)
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Hash: f35408aba1b1cb219e5e0ee9db4b9bb4
TeX (original user input):
f:X\to Y\text{ affin }\Leftrightarrow \text{ }\exists g:{{T}_{M}}\to {{V}_{M}},t\to g\left( t \right):\forall \left( p,q \right)\in {{X}^{2}}:\overrightarrow{f(p)f(q)}=g(\overrightarrow{\underbrace{pq}_{t}})
TeX (checked):
f:X\to Y{\text{ affin }}\Leftrightarrow {\text{ }}\exists g:{{T}_{M}}\to {{V}_{M}},t\to g\left(t\right):\forall \left(p,q\right)\in {{X}^{2}}:{\overrightarrow {f(p)f(q)}}=g({\overrightarrow {\underbrace {pq} _{t}}})
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MathML (experimentell; keine Bilder) rendering
MathML (1.633 KB / 439 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>f</mi><mi>:</mi><mi>X</mi><mo accent="false">→</mo><mi>Y</mi><mrow data-mjx-texclass="ORD"><mtext> affin </mtext></mrow><mo>⇔</mo><mrow data-mjx-texclass="ORD"><mtext> </mtext></mrow><mi mathvariant="normal">∃</mi><mi>g</mi><mi>:</mi><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo accent="false">→</mo><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub><mo>,</mo><mi>t</mi><mo accent="false">→</mo><mi>g</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>:</mi><mi mathvariant="normal">∀</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>p</mi><mo>,</mo><mi>q</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>∈</mo><msup><mi>X</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>:</mi><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>f</mi><mo stretchy="false">(</mo><mi>p</mi><mo stretchy="false">)</mo><mi>f</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo></mrow><mo>→</mo></mover></mrow><mo>=</mo><mi>g</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mover><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>q</mi></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></munder><mo>→</mo></mover></mrow><mo stretchy="false">)</mo></mstyle></mrow></math>
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