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Display information for equation id:math.2273.59 on revision:2273
* Page found: Vorurteilsfreie Schätzung des statistischen Operators zu einem festen Zeitpunkt (eq math.2273.59)
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Hash: 5fc7748fef5e42cd1b6a868d03ba77e4
TeX (original user input):
\operatorname{Tr}\left( \rho \ln R \right)\underbrace{=}_{\text{ansehen}}-\sum\limits_{\nu }^{{}}{{}}{{\lambda }_{\nu }}\underbrace{\operatorname{Tr}\left( \rho {{G}_{\nu }} \right)}_{\operatorname{Tr}\left( R{{G}_{\nu }} \right)}-\ln Z\equiv \operatorname{Tr}\left( R\rho R \right)
TeX (checked):
\operatorname {Tr} \left(\rho \ln R\right)\underbrace {=} _{\text{ansehen}}-\sum \limits _{\nu }^{}{}{{\lambda }_{\nu }}\underbrace {\operatorname {Tr} \left(\rho {{G}_{\nu }}\right)} _{\operatorname {Tr} \left(R{{G}_{\nu }}\right)}-\ln Z\equiv \operatorname {Tr} \left(R\rho R\right)
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MathML (1.853 KB / 393 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 data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mi>ln</mi><mo>⁡</mo><mi>R</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><munder><mrow data-mjx-texclass="OP"><munder><mo>=</mo><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>ansehen</mtext></mrow></mrow></munder><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><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>R</mi><msub><mi>G</mi><mrow data-mjx-texclass="ORD"><mi>ν</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></munder><mo>−</mo><mi>ln</mi><mo>⁡</mo><mi>Z</mi><mo>≡</mo><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>R</mi><mi>ρ</mi><mi>R</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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