Jump to navigation
Jump to search
General
Display information for equation id:math.1615.37 on revision:1615
* Page found: Zustandsvektoren im Hilbertraum (eq math.1615.37)
(force rerendering)Occurrences on the following pages:
Hash: 0cc94008a8f745a080d37823af71b14b
TeX (original user input):
\alpha \left( \left| {{\Psi }_{1}} \right\rangle +\left| {{\Psi }_{2}} \right\rangle \right)=\alpha \left| {{\Psi }_{1}} \right\rangle +\alpha \left| {{\Psi }_{2}} \right\rangle \forall \alpha \in C
TeX (checked):
\alpha \left(\left|{{\Psi }_{1}}\right\rangle +\left|{{\Psi }_{2}}\right\rangle \right)=\alpha \left|{{\Psi }_{1}}\right\rangle +\alpha \left|{{\Psi }_{2}}\right\rangle \forall \alpha \in C
LaTeXML (experimental; uses MathML) rendering
MathML (8.657 KB / 1.317 KB) :
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\displaystyle\alpha\left(\left|{{\Psi}_{1}}\right\rangle+\left|% {{\Psi}_{2}}\right\rangle\right)=\alpha\left|{{\Psi}_{1}}\right\rangle+\alpha% \left|{{\Psi}_{2}}\right\rangle\forall\alpha\in C}}" display="inline">
<semantics id="p1.1.m1.1a">
<mrow id="p1.1.m1.1.29" xref="p1.1.m1.1.29.cmml">
<mrow id="p1.1.m1.1.29.2" xref="p1.1.m1.1.29.2.cmml">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">α</mi>
<mo id="p1.1.m1.1.29.2.1" xref="p1.1.m1.1.29.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.29.2.2" xref="p1.1.m1.1.29.2.2.2.cmml">
<mo id="p1.1.m1.1.2" xref="p1.1.m1.1.29.2.2.2.cmml">(</mo>
<mrow id="p1.1.m1.1.29.2.2.2" xref="p1.1.m1.1.29.2.2.2.cmml">
<mrow id="p1.1.m1.1.29.2.2.2.1" xref="p1.1.m1.1.29.2.2.2.1.1.cmml">
<mo fence="true" id="p1.1.m1.1.3" xref="p1.1.m1.1.29.2.2.2.1.1.1.cmml">|</mo>
<msub id="p1.1.m1.1.29.2.2.2.1.2" xref="p1.1.m1.1.29.2.2.2.1.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">Ψ</mi>
<mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">1</mn>
</msub>
<mo id="p1.1.m1.1.6" xref="p1.1.m1.1.29.2.2.2.1.1.1.cmml">⟩</mo>
</mrow>
<mo id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">+</mo>
<mrow id="p1.1.m1.1.29.2.2.2.2" xref="p1.1.m1.1.29.2.2.2.2.1.cmml">
<mo fence="true" id="p1.1.m1.1.8" xref="p1.1.m1.1.29.2.2.2.2.1.1.cmml">|</mo>
<msub id="p1.1.m1.1.29.2.2.2.2.2" xref="p1.1.m1.1.29.2.2.2.2.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">Ψ</mi>
<mn id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">2</mn>
</msub>
<mo id="p1.1.m1.1.11" xref="p1.1.m1.1.29.2.2.2.2.1.1.cmml">⟩</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.12" xref="p1.1.m1.1.29.2.2.2.cmml">)</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">=</mo>
<mrow id="p1.1.m1.1.29.3" xref="p1.1.m1.1.29.3.cmml">
<mrow id="p1.1.m1.1.29.3.1" xref="p1.1.m1.1.29.3.1.cmml">
<mi id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">α</mi>
<mo id="p1.1.m1.1.29.3.1.1" xref="p1.1.m1.1.29.3.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.29.3.1.2" xref="p1.1.m1.1.29.3.1.2.1.cmml">
<mo fence="true" id="p1.1.m1.1.15" xref="p1.1.m1.1.29.3.1.2.1.1.cmml">|</mo>
<msub id="p1.1.m1.1.29.3.1.2.2" xref="p1.1.m1.1.29.3.1.2.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.16" xref="p1.1.m1.1.16.cmml">Ψ</mi>
<mn id="p1.1.m1.1.17.1" xref="p1.1.m1.1.17.1.cmml">1</mn>
</msub>
<mo id="p1.1.m1.1.18" xref="p1.1.m1.1.29.3.1.2.1.1.cmml">⟩</mo>
</mrow>
</mrow>
<mo id="p1.1.m1.1.19" xref="p1.1.m1.1.19.cmml">+</mo>
<mrow id="p1.1.m1.1.29.3.2" xref="p1.1.m1.1.29.3.2.cmml">
<mi id="p1.1.m1.1.20" xref="p1.1.m1.1.20.cmml">α</mi>
<mo id="p1.1.m1.1.29.3.2.1" xref="p1.1.m1.1.29.3.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.29.3.2.2" xref="p1.1.m1.1.29.3.2.2.1.cmml">
<mo fence="true" id="p1.1.m1.1.21" xref="p1.1.m1.1.29.3.2.2.1.1.cmml">|</mo>
<msub id="p1.1.m1.1.29.3.2.2.2" xref="p1.1.m1.1.29.3.2.2.2.cmml">
<mi mathvariant="normal" id="p1.1.m1.1.22" xref="p1.1.m1.1.22.cmml">Ψ</mi>
<mn id="p1.1.m1.1.23.1" xref="p1.1.m1.1.23.1.cmml">2</mn>
</msub>
<mo id="p1.1.m1.1.24" xref="p1.1.m1.1.29.3.2.2.1.1.cmml">⟩</mo>
</mrow>
<mo id="p1.1.m1.1.29.3.2.1a" xref="p1.1.m1.1.29.3.2.1.cmml"></mo>
<mrow id="p1.1.m1.1.29.3.2.3" xref="p1.1.m1.1.29.3.2.3.cmml">
<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">α</mi>
</mrow>
</mrow>
</mrow>
<mo id="p1.1.m1.1.27" xref="p1.1.m1.1.27.cmml">∈</mo>
<mi id="p1.1.m1.1.28" xref="p1.1.m1.1.28.cmml">C</mi>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.29.cmml" xref="p1.1.m1.1.29">
<and id="p1.1.m1.1.29a.cmml" xref="p1.1.m1.1.29"/>
<apply id="p1.1.m1.1.29b.cmml" xref="p1.1.m1.1.29">
<eq id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13"/>
<apply id="p1.1.m1.1.29.2.cmml" xref="p1.1.m1.1.29.2">
<times id="p1.1.m1.1.29.2.1.cmml" xref="p1.1.m1.1.29.2.1"/>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝛼</ci>
<apply id="p1.1.m1.1.29.2.2.2.cmml" xref="p1.1.m1.1.29.2.2">
<plus id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7"/>
<apply id="p1.1.m1.1.29.2.2.2.1.1.cmml" xref="p1.1.m1.1.29.2.2.2.1">
<csymbol cd="latexml" id="p1.1.m1.1.29.2.2.2.1.1.1.cmml" xref="p1.1.m1.1.3">ket</csymbol>
<apply id="p1.1.m1.1.29.2.2.2.1.2.cmml" xref="p1.1.m1.1.29.2.2.2.1.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.29.2.2.2.1.2.1.cmml" xref="p1.1.m1.1.29.2.2.2.1.2">subscript</csymbol>
<ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">1</cn>
</apply>
</apply>
<apply id="p1.1.m1.1.29.2.2.2.2.1.cmml" xref="p1.1.m1.1.29.2.2.2.2">
<csymbol cd="latexml" id="p1.1.m1.1.29.2.2.2.2.1.1.cmml" xref="p1.1.m1.1.8">ket</csymbol>
<apply id="p1.1.m1.1.29.2.2.2.2.2.cmml" xref="p1.1.m1.1.29.2.2.2.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.29.2.2.2.2.2.1.cmml" xref="p1.1.m1.1.29.2.2.2.2.2">subscript</csymbol>
<ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply id="p1.1.m1.1.29.3.cmml" xref="p1.1.m1.1.29.3">
<plus id="p1.1.m1.1.19.cmml" xref="p1.1.m1.1.19"/>
<apply id="p1.1.m1.1.29.3.1.cmml" xref="p1.1.m1.1.29.3.1">
<times id="p1.1.m1.1.29.3.1.1.cmml" xref="p1.1.m1.1.29.3.1.1"/>
<ci id="p1.1.m1.1.14.cmml" xref="p1.1.m1.1.14">𝛼</ci>
<apply id="p1.1.m1.1.29.3.1.2.1.cmml" xref="p1.1.m1.1.29.3.1.2">
<csymbol cd="latexml" id="p1.1.m1.1.29.3.1.2.1.1.cmml" xref="p1.1.m1.1.15">ket</csymbol>
<apply id="p1.1.m1.1.29.3.1.2.2.cmml" xref="p1.1.m1.1.29.3.1.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.29.3.1.2.2.1.cmml" xref="p1.1.m1.1.29.3.1.2.2">subscript</csymbol>
<ci id="p1.1.m1.1.16.cmml" xref="p1.1.m1.1.16">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.17.1.cmml" xref="p1.1.m1.1.17.1">1</cn>
</apply>
</apply>
</apply>
<apply id="p1.1.m1.1.29.3.2.cmml" xref="p1.1.m1.1.29.3.2">
<times id="p1.1.m1.1.29.3.2.1.cmml" xref="p1.1.m1.1.29.3.2.1"/>
<ci id="p1.1.m1.1.20.cmml" xref="p1.1.m1.1.20">𝛼</ci>
<apply id="p1.1.m1.1.29.3.2.2.1.cmml" xref="p1.1.m1.1.29.3.2.2">
<csymbol cd="latexml" id="p1.1.m1.1.29.3.2.2.1.1.cmml" xref="p1.1.m1.1.21">ket</csymbol>
<apply id="p1.1.m1.1.29.3.2.2.2.cmml" xref="p1.1.m1.1.29.3.2.2.2">
<csymbol cd="ambiguous" id="p1.1.m1.1.29.3.2.2.2.1.cmml" xref="p1.1.m1.1.29.3.2.2.2">subscript</csymbol>
<ci id="p1.1.m1.1.22.cmml" xref="p1.1.m1.1.22">Ψ</ci>
<cn type="integer" id="p1.1.m1.1.23.1.cmml" xref="p1.1.m1.1.23.1">2</cn>
</apply>
</apply>
<apply id="p1.1.m1.1.29.3.2.3.cmml" xref="p1.1.m1.1.29.3.2.3">
<csymbol cd="latexml" id="p1.1.m1.1.25.cmml" xref="p1.1.m1.1.25">for-all</csymbol>
<ci id="p1.1.m1.1.26.cmml" xref="p1.1.m1.1.26">𝛼</ci>
</apply>
</apply>
</apply>
</apply>
<apply id="p1.1.m1.1.29c.cmml" xref="p1.1.m1.1.29">
<in id="p1.1.m1.1.27.cmml" xref="p1.1.m1.1.27"/>
<share href="#p1.1.m1.1.29.3.cmml" id="p1.1.m1.1.29d.cmml" xref="p1.1.m1.1.29"/>
<ci id="p1.1.m1.1.28.cmml" xref="p1.1.m1.1.28">𝐶</ci>
</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\displaystyle\alpha\left(\left|{{\Psi}_{1}}\right\rangle+\left|%
{{\Psi}_{2}}\right\rangle\right)=\alpha\left|{{\Psi}_{1}}\right\rangle+\alpha%
\left|{{\Psi}_{2}}\right\rangle\forall\alpha\in C}}</annotation>
</semantics>
</math>
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (1.273 KB / 296 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>α</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><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 data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>α</mi><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 data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>+</mo><mi>α</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mi mathvariant="normal">∀</mi><mi>α</mi><mo>∈</mo><mi>C</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 Zustandsvektoren im Hilbertraum page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results