Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1072.8 on revision:1072
* Page found: Affinie Abbildung (eq math.1072.8)
(force rerendering)Occurrences on the following pages:
Hash: 0a51ccd9a3903b1c5ec057ba017cd934
TeX (original user input):
\Leftrightarrow \exists {{p}_{0}}\in X:\quad \left( \exists g:{{T}_{M}}\to {{V}_{M}}:\overrightarrow{{{p}_{0}}q}\to \overrightarrow{f({{p}_{0}})f(q)} \right)
LaTeXML (experimentell; verwendet MathML) rendering
MathML (8.176 KB / 1.43 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\Leftrightarrow\exists{{p}_{0}}\in X:\quad\left(% \exists g:{{T}_{M}}\to{{V}_{M}}:\overrightarrow{{{p}_{0}}q}\to\overrightarrow{% f({{p}_{0}})f(q)}\right)}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1b">
<mo id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">⇔</mo>
<mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">∃</mo>
<msub id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">p</mi>
<mn id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">0</mn>
</msub>
<mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">∈</mo>
<mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">X</mi>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">:</mo>
<mo mathvariant="italic" separator="true" id="p1.1.m1.1.24" xref="p1.1.m1.1.24.cmml"> </mo>
<mrow id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">
<mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">(</mo>
<mo id="p1.1.m1.1.10" xref="p1.1.m1.1.10.cmml">∃</mo>
<mi id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">g</mi>
<mo id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">:</mo>
<msub id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">
<mi id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">T</mi>
<mi id="p1.1.m1.1.14.1" xref="p1.1.m1.1.14.1.cmml">M</mi>
</msub>
<mo id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">→</mo>
<msub id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">
<mi id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">V</mi>
<mi id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">M</mi>
</msub>
<mo id="p1.1.m1.1.18" xref="p1.1.m1.1.18.cmml">:</mo>
<mover accent="true" id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">
<mrow id="p1.1.m1.1.19.2" xref="p1.1.m1.1.19.2.cmml">
<msub id="p1.1.m1.1.19.2.5" xref="p1.1.m1.1.19.2.5.cmml">
<mi id="p1.1.m1.1.19.2.1" xref="p1.1.m1.1.19.2.1.cmml">p</mi>
<mn id="p1.1.m1.1.19.2.2.1" xref="p1.1.m1.1.19.2.2.1.cmml">0</mn>
</msub>
<mo id="p1.1.m1.1.19.2.4" xref="p1.1.m1.1.19.2.4.cmml"></mo>
<mi id="p1.1.m1.1.19.2.3" xref="p1.1.m1.1.19.2.3.cmml">q</mi>
</mrow>
<mo id="p1.1.m1.1.19.1" xref="p1.1.m1.1.19.1.cmml">→</mo>
</mover>
<mo id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">→</mo>
<mover accent="true" id="p1.1.m1.1.21" xref="p1.1.m1.1.21.cmml">
<mrow id="p1.1.m1.1.21.2" xref="p1.1.m1.1.21.2.cmml">
<mi id="p1.1.m1.1.21.2.1" xref="p1.1.m1.1.21.2.1.cmml">f</mi>
<mo id="p1.1.m1.1.21.2.10" xref="p1.1.m1.1.21.2.10.cmml"></mo>
<mrow id="p1.1.m1.1.21.2.11" xref="p1.1.m1.1.21.2.11.2.cmml">
<mo stretchy="false" id="p1.1.m1.1.21.2.2" xref="p1.1.m1.1.21.2.11.2.cmml">(</mo>
<msub id="p1.1.m1.1.21.2.11.2" xref="p1.1.m1.1.21.2.11.2.cmml">
<mi id="p1.1.m1.1.21.2.3" xref="p1.1.m1.1.21.2.3.cmml">p</mi>
<mn id="p1.1.m1.1.21.2.4.1" xref="p1.1.m1.1.21.2.4.1.cmml">0</mn>
</msub>
<mo stretchy="false" id="p1.1.m1.1.21.2.5" xref="p1.1.m1.1.21.2.11.2.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.21.2.10a" xref="p1.1.m1.1.21.2.10.cmml"></mo>
<mi id="p1.1.m1.1.21.2.6" xref="p1.1.m1.1.21.2.6.cmml">f</mi>
<mo id="p1.1.m1.1.21.2.10b" xref="p1.1.m1.1.21.2.10.cmml"></mo>
<mrow id="p1.1.m1.1.21.2.12" xref="p1.1.m1.1.21.2.cmml">
<mo stretchy="false" id="p1.1.m1.1.21.2.7" xref="p1.1.m1.1.21.2.cmml">(</mo>
<mi id="p1.1.m1.1.21.2.8" xref="p1.1.m1.1.21.2.8.cmml">q</mi>
<mo stretchy="false" id="p1.1.m1.1.21.2.9" xref="p1.1.m1.1.21.2.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">→</mo>
</mover>
<mo id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">)</mo>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
<cerror id="p1.1.m1.1d">
<csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">⇔</ci>
<exists id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2"/>
<apply id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">
<csymbol cd="ambiguous" id="p1.1.m1.1.25.1.cmml" xref="p1.1.m1.1.25">subscript</csymbol>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑝</ci>
<cn type="integer" id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1">0</cn>
</apply>
<in id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
<csymbol cd="unknown" id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">X</csymbol>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">:</ci>
<ci id="p1.1.m1.1.24.cmml" xref="p1.1.m1.1.24">italic- </ci>
<cerror id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">
<csymbol cd="ambiguous" id="p1.1.m1.1.4a.cmml" xref="p1.1.m1.1.4">fragments</csymbol>
<ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">(</ci>
<exists id="p1.1.m1.1.10.cmml" xref="p1.1.m1.1.10"/>
<csymbol cd="unknown" id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">g</csymbol>
<ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">:</ci>
<apply id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">
<csymbol cd="ambiguous" id="p1.1.m1.1.26.1.cmml" xref="p1.1.m1.1.26">subscript</csymbol>
<ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">𝑇</ci>
<ci id="p1.1.m1.1.14.1.cmml" xref="p1.1.m1.1.14.1">𝑀</ci>
</apply>
<ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">→</ci>
<apply id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27">
<csymbol cd="ambiguous" id="p1.1.m1.1.27.1.cmml" xref="p1.1.m1.1.27">subscript</csymbol>
<ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">𝑉</ci>
<ci id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">𝑀</ci>
</apply>
<ci id="p1.1.m1.1.18.cmml" xref="p1.1.m1.1.18">:</ci>
<apply id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">
<ci id="p1.1.m1.1.19.1.cmml" xref="p1.1.m1.1.19.1">→</ci>
<apply id="p1.1.m1.1.19.2.cmml" xref="p1.1.m1.1.19.2">
<times id="p1.1.m1.1.19.2.4.cmml" xref="p1.1.m1.1.19.2.4"/>
<apply id="p1.1.m1.1.19.2.5.cmml" xref="p1.1.m1.1.19.2.5">
<csymbol cd="ambiguous" id="p1.1.m1.1.19.2.5.1.cmml" xref="p1.1.m1.1.19.2.5">subscript</csymbol>
<ci id="p1.1.m1.1.19.2.1.cmml" xref="p1.1.m1.1.19.2.1">𝑝</ci>
<cn type="integer" id="p1.1.m1.1.19.2.2.1.cmml" xref="p1.1.m1.1.19.2.2.1">0</cn>
</apply>
<ci id="p1.1.m1.1.19.2.3.cmml" xref="p1.1.m1.1.19.2.3">𝑞</ci>
</apply>
</apply>
<ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">→</ci>
<apply id="p1.1.m1.1.21.cmml" xref="p1.1.m1.1.21">
<ci id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">→</ci>
<apply id="p1.1.m1.1.21.2.cmml" xref="p1.1.m1.1.21.2">
<times id="p1.1.m1.1.21.2.10.cmml" xref="p1.1.m1.1.21.2.10"/>
<ci id="p1.1.m1.1.21.2.1.cmml" xref="p1.1.m1.1.21.2.1">𝑓</ci>
<apply id="p1.1.m1.1.21.2.11.2.cmml" xref="p1.1.m1.1.21.2.11">
<csymbol cd="ambiguous" id="p1.1.m1.1.21.2.11.2.1.cmml" xref="p1.1.m1.1.21.2.11">subscript</csymbol>
<ci id="p1.1.m1.1.21.2.3.cmml" xref="p1.1.m1.1.21.2.3">𝑝</ci>
<cn type="integer" id="p1.1.m1.1.21.2.4.1.cmml" xref="p1.1.m1.1.21.2.4.1">0</cn>
</apply>
<ci id="p1.1.m1.1.21.2.6.cmml" xref="p1.1.m1.1.21.2.6">𝑓</ci>
<ci id="p1.1.m1.1.21.2.8.cmml" xref="p1.1.m1.1.21.2.8">𝑞</ci>
</apply>
</apply>
<ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">)</ci>
</cerror>
</cerror>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle{\displaystyle\Leftrightarrow\exists{{p}_{0}}\in X:\quad\left(%
\exists g:{{T}_{M}}\to{{V}_{M}}:\overrightarrow{{{p}_{0}}q}\to\overrightarrow{%
f({{p}_{0}})f(q)}\right)}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (1.215 KB / 370 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mo>⇔</mo><mi mathvariant="normal">∃</mi><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>∈</mo><mi>X</mi><mi>:</mi><mspace width="1em"></mspace><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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><mi>:</mi><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>q</mi></mrow><mo>→</mo></mover></mrow><mo accent="false">→</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>f</mi><mo stretchy="false">(</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">)</mo><mi>f</mi><mo stretchy="false">(</mo><mi>q</mi><mo stretchy="false">)</mo></mrow><mo>→</mo></mover></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple:
Translation to Mathematica
In Mathematica:
Similar pages
Calculated based on the variables occurring on the entire Affinie Abbildung page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results