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Display information for equation id:math.2270.88 on revision:2270
* Page found: Vorurteilsfreie Schätzung des statistischen Operators zu einem festen Zeitpunkt (eq math.2270.88)
(force rerendering)Occurrences on the following pages:
Hash: 04a750b541070cfcc6b5d048fa7c2571
TeX (original user input):
\begin{align}
& dS=k\sum\limits_{\nu }^{{}}{{{\lambda }_{\nu }}}\left( d\left\langle {{G}_{\nu }} \right\rangle -\sum\limits_{\alpha }{{}}{{M}_{\nu ,\alpha }}d{{h}_{\alpha }} \right) \\
& dS=\sum\limits_{\nu }^{{}}{\frac{{{\partial }_{S}}}{\partial \left\langle {{G}_{\nu }} \right\rangle }}\left( d\left\langle {{{\bar{G}}}_{\nu }} \right\rangle -\sum\limits_{\alpha }{\frac{\partial S}{\partial {{h}_{\alpha }}}}d{{h}_{\alpha }} \right)
\end{align}
TeX (checked):
{\begin{aligned}&dS=k\sum \limits _{\nu }^{}{{\lambda }_{\nu }}\left(d\left\langle {{G}_{\nu }}\right\rangle -\sum \limits _{\alpha }{}{{M}_{\nu ,\alpha }}d{{h}_{\alpha }}\right)\\&dS=\sum \limits _{\nu }^{}{\frac {{\partial }_{S}}{\partial \left\langle {{G}_{\nu }}\right\rangle }}\left(d\left\langle {{\bar {G}}_{\nu }}\right\rangle -\sum \limits _{\alpha }{\frac {\partial S}{\partial {{h}_{\alpha }}}}d{{h}_{\alpha }}\right)\end{aligned}}
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MathML (2.975 KB / 500 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="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><mi>d</mi><mi>S</mi><mo>=</mo><mi>k</mi><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></munder><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ν</mi><mo>,</mo><mi>α</mi></mrow></mrow></msub><mi>d</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mi>S</mi><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>d</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>G</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></munder><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub></mrow></mrow></mfrac></mrow><mi>d</mi><msub><mi>h</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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