Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.1626.41 on revision:1626
* Page found: Operatoren im Hilbertraum (eq math.1626.41)
(force rerendering)Occurrences on the following pages:
Hash: cc3ca84b6214038003aff34a6e364961
TeX (original user input):
\left( {{\Psi }_{1}},\hat{F}{{\Psi }_{2}} \right)=\left( \hat{F}{{\Psi }_{1}},{{\Psi }_{2}} \right)\quad \forall {{\Psi }_{1}},{{\Psi }_{2}}\in H
TeX (checked):
\left({{\Psi }_{1}},{\hat {F}}{{\Psi }_{2}}\right)=\left({\hat {F}}{{\Psi }_{1}},{{\Psi }_{2}}\right)\quad \forall {{\Psi }_{1}},{{\Psi }_{2}}\in H
LaTeXML (experimentell; verwendet MathML) rendering
MathML (8.443 KB / 1.385 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\left({{\Psi}_{1}},\hat{F}{{\Psi}_{2}}\right)=% \left(\hat{F}{{\Psi}_{1}},{{\Psi}_{2}}\right)\quad\forall{{\Psi}_{1}},{{\Psi}_% {2}}\in H}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.28" xref="p1.1.m1.1.28.1.cmml">
<mrow id="p1.1.m1.1.28.2" xref="p1.1.m1.1.28.2.cmml">
<mrow id="p1.1.m1.1.28.2.1" xref="p1.1.m1.1.28.2.1.1.cmml">
<mo id="p1.1.m1.1.1" xref="p1.1.m1.1.28.2.1.1.cmml">(</mo>
<msub id="p1.1.m1.1.28.2.1.2" xref="p1.1.m1.1.28.2.1.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">Ψ</mi>
<mn id="p1.1.m1.1.3.1" xref="p1.1.m1.1.3.1.cmml">1</mn>
</msub>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.28.2.1.1.cmml">,</mo>
<mrow id="p1.1.m1.1.28.2.1.3" xref="p1.1.m1.1.28.2.1.3.cmml">
<mover accent="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
<mi id="p1.1.m1.1.5.2" xref="p1.1.m1.1.5.2.cmml">F</mi>
<mo stretchy="false" id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">^</mo>
</mover>
<mo id="p1.1.m1.1.28.2.1.3.1" xref="p1.1.m1.1.28.2.1.3.1.cmml"></mo>
<msub id="p1.1.m1.1.28.2.1.3.2" xref="p1.1.m1.1.28.2.1.3.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">Ψ</mi>
<mn id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">2</mn>
</msub>
</mrow>
<mo id="p1.1.m1.1.8" xref="p1.1.m1.1.28.2.1.1.cmml">)</mo>
</mrow>
<mo id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">=</mo>
<mrow id="p1.1.m1.1.28.2.2" xref="p1.1.m1.1.28.2.2.1.cmml">
<mrow id="p1.1.m1.1.28.2.2.2" xref="p1.1.m1.1.28.2.2.2.1.cmml">
<mo id="p1.1.m1.1.10" xref="p1.1.m1.1.28.2.2.2.1.cmml">(</mo>
<mrow id="p1.1.m1.1.28.2.2.2.2" xref="p1.1.m1.1.28.2.2.2.2.cmml">
<mover accent="true" id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml">
<mi id="p1.1.m1.1.11.2" xref="p1.1.m1.1.11.2.cmml">F</mi>
<mo stretchy="false" id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">^</mo>
</mover>
<mo id="p1.1.m1.1.28.2.2.2.2.1" xref="p1.1.m1.1.28.2.2.2.2.1.cmml"></mo>
<msub id="p1.1.m1.1.28.2.2.2.2.2" xref="p1.1.m1.1.28.2.2.2.2.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">Ψ</mi>
<mn id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">1</mn>
</msub>
</mrow>
<mo id="p1.1.m1.1.14" xref="p1.1.m1.1.28.2.2.2.1.cmml">,</mo>
<msub id="p1.1.m1.1.28.2.2.2.3" xref="p1.1.m1.1.28.2.2.2.3.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">Ψ</mi>
<mn id="p1.1.m1.1.16.1" xref="p1.1.m1.1.16.1.cmml">2</mn>
</msub>
<mo id="p1.1.m1.1.17" xref="p1.1.m1.1.28.2.2.2.1.cmml">)</mo>
</mrow>
<mo mathvariant="italic" separator="true" id="p1.1.m1.1.27" xref="p1.1.m1.1.28.2.2.1.cmml"> </mo>
<mrow id="p1.1.m1.1.28.2.2.3" xref="p1.1.m1.1.28.2.2.3.cmml">
<mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">∀</mo>
<msub id="p1.1.m1.1.28.2.2.3.1" xref="p1.1.m1.1.28.2.2.3.1.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">Ψ</mi>
<mn id="p1.1.m1.1.21.1" xref="p1.1.m1.1.21.1.cmml">1</mn>
</msub>
</mrow>
</mrow>
</mrow>
<mo id="p1.1.m1.1.22" xref="p1.1.m1.1.28.1a.cmml">,</mo>
<mrow id="p1.1.m1.1.28.3" xref="p1.1.m1.1.28.3.cmml">
<msub id="p1.1.m1.1.28.3.1" xref="p1.1.m1.1.28.3.1.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.23" xref="p1.1.m1.1.23.cmml">Ψ</mi>
<mn id="p1.1.m1.1.24.1" xref="p1.1.m1.1.24.1.cmml">2</mn>
</msub>
<mo id="p1.1.m1.1.25" xref="p1.1.m1.1.25.cmml">∈</mo>
<mi id="p1.1.m1.1.26" xref="p1.1.m1.1.26.cmml">H</mi>
</mrow>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.28.1.cmml" xref="p1.1.m1.1.28">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.1a.cmml" xref="p1.1.m1.1.22">formulae-sequence</csymbol>
<apply id="p1.1.m1.1.28.2.cmml" xref="p1.1.m1.1.28.2">
<eq id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9"/>
<interval closure="open" id="p1.1.m1.1.28.2.1.1.cmml" xref="p1.1.m1.1.28.2.1">
<apply id="p1.1.m1.1.28.2.1.2.cmml" xref="p1.1.m1.1.28.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.2.1.2.1.cmml" xref="p1.1.m1.1.28.2.1.2">subscript</csymbol>
<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.3.1.cmml" xref="p1.1.m1.1.3.1">1</cn>
</apply>
<apply id="p1.1.m1.1.28.2.1.3.cmml" xref="p1.1.m1.1.28.2.1.3">
<times id="p1.1.m1.1.28.2.1.3.1.cmml" xref="p1.1.m1.1.28.2.1.3.1"/>
<apply id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">
<ci id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">^</ci>
<ci id="p1.1.m1.1.5.2.cmml" xref="p1.1.m1.1.5.2">𝐹</ci>
</apply>
<apply id="p1.1.m1.1.28.2.1.3.2.cmml" xref="p1.1.m1.1.28.2.1.3.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.2.1.3.2.1.cmml" xref="p1.1.m1.1.28.2.1.3.2">subscript</csymbol>
<ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">2</cn>
</apply>
</apply>
</interval>
<list id="p1.1.m1.1.28.2.2.1.cmml" xref="p1.1.m1.1.28.2.2">
<interval closure="open" id="p1.1.m1.1.28.2.2.2.1.cmml" xref="p1.1.m1.1.28.2.2.2">
<apply id="p1.1.m1.1.28.2.2.2.2.cmml" xref="p1.1.m1.1.28.2.2.2.2">
<times id="p1.1.m1.1.28.2.2.2.2.1.cmml" xref="p1.1.m1.1.28.2.2.2.2.1"/>
<apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
<ci id="p1.1.m1.1.11.1.cmml" xref="p1.1.m1.1.11.1">^</ci>
<ci id="p1.1.m1.1.11.2.cmml" xref="p1.1.m1.1.11.2">𝐹</ci>
</apply>
<apply id="p1.1.m1.1.28.2.2.2.2.2.cmml" xref="p1.1.m1.1.28.2.2.2.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.2.2.2.2.2.1.cmml" xref="p1.1.m1.1.28.2.2.2.2.2">subscript</csymbol>
<ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.13.1.cmml" xref="p1.1.m1.1.13.1">1</cn>
</apply>
</apply>
<apply id="p1.1.m1.1.28.2.2.2.3.cmml" xref="p1.1.m1.1.28.2.2.2.3">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.2.2.2.3.1.cmml" xref="p1.1.m1.1.28.2.2.2.3">subscript</csymbol>
<ci id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.16.1.cmml" xref="p1.1.m1.1.16.1">2</cn>
</apply>
</interval>
<apply id="p1.1.m1.1.28.2.2.3.cmml" xref="p1.1.m1.1.28.2.2.3">
<csymbol cd="latexml" id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19">for-all</csymbol>
<apply id="p1.1.m1.1.28.2.2.3.1.cmml" xref="p1.1.m1.1.28.2.2.3.1">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.2.2.3.1.1.cmml" xref="p1.1.m1.1.28.2.2.3.1">subscript</csymbol>
<ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.21.1.cmml" xref="p1.1.m1.1.21.1">1</cn>
</apply>
</apply>
</list>
</apply>
<apply id="p1.1.m1.1.28.3.cmml" xref="p1.1.m1.1.28.3">
<in id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25"/>
<apply id="p1.1.m1.1.28.3.1.cmml" xref="p1.1.m1.1.28.3.1">
<csymbol cd="ambiguous" id="p1.1.m1.1.28.3.1.1.cmml" xref="p1.1.m1.1.28.3.1">subscript</csymbol>
<ci id="p1.1.m1.1.23.cmml" xref="p1.1.m1.1.23">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.24.1.cmml" xref="p1.1.m1.1.24.1">2</cn>
</apply>
<ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝐻</ci>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\left({{\Psi}_{1}},\hat{F}{{\Psi}_{2}}\right)=%
\left(\hat{F}{{\Psi}_{1}},{{\Psi}_{2}}\right)\quad\forall{{\Psi}_{1}},{{\Psi}_%
{2}}\in H}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (1.3 KB / 314 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="1em"></mspace><mi mathvariant="normal">∀</mi><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>∈</mo><mi>H</mi></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 Operatoren im Hilbertraum page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results