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Display information for equation id:math.2232.86 on revision:2232
* Page found: Quantentheoretischer Zugang (eq math.2232.86)
(force rerendering)Occurrences on the following pages:
Hash: 95f11b614f2d011c73d5335b7093f004
TeX (original user input):
\begin{align}
& \sum\limits_{r}{\sum\limits_{i}{{{w}_{i}}\left\langle r | {{\Psi }_{i}} \right\rangle \left\langle {{\Psi }_{i}} \right|}\left| r \right\rangle }=\sum\limits_{r}{r} \\
& \sum\limits_{i}{{{w}_{i}}}=\sum\limits_{\left\{ r \right\}}{r} \\
& \Rightarrow \sum\limits_{\left\{ r \right\}}{r}=1
\end{align}
TeX (checked):
{\begin{aligned}&\sum \limits _{r}{\sum \limits _{i}{{{w}_{i}}\left\langle r|{{\Psi }_{i}}\right\rangle \left\langle {{\Psi }_{i}}\right|}\left|r\right\rangle }=\sum \limits _{r}{r}\\&\sum \limits _{i}{{w}_{i}}=\sum \limits _{\left\{r\right\}}{r}\\&\Rightarrow \sum \limits _{\left\{r\right\}}{r}=1\end{aligned}}
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<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="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></munder><mrow data-mjx-texclass="ORD"><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><mrow data-mjx-texclass="ORD"><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>r</mi><mo>|</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>r</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></munder><mi>r</mi></mtd></mtr><mtr><mtd></mtd><mtd><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></munder><msub><mi>w</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>r</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow></mrow></munder><mi>r</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi>r</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow></mrow></munder><mi>r</mi><mo>=</mo><mn>1</mn></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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