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Display information for equation id:math.2282.27 on revision:2282
* Page found: Beispiel des Großkanonischen Ensenbles (eq math.2282.27)
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Hash: a14cddf4f8c5325dcdaa4551998908b1
TeX (original user input):
\begin{align}
& ={{\operatorname{Tr}}_{1}}\left( {{\rho }_{1}}\ln \left( {{\rho }_{1}} \right) \right)\underbrace{{{\operatorname{Tr}}_{2}}\left( \rho \right)}_{1}+{{\operatorname{Tr}}_{2}}\left( {{\rho }_{2}}\ln \left( {{\rho }_{2}} \right) \right)\underbrace{\operatorname{Tr}\left( {{\rho }_{1}} \right)}_{1} \\
& \Rightarrow S={{S}_{1}}+{{S}_{2}}
\end{align}
TeX (checked):
{\begin{aligned}&={{\operatorname {Tr} }_{1}}\left({{\rho }_{1}}\ln \left({{\rho }_{1}}\right)\right)\underbrace {{{\operatorname {Tr} }_{2}}\left(\rho \right)} _{1}+{{\operatorname {Tr} }_{2}}\left({{\rho }_{2}}\ln \left({{\rho }_{2}}\right)\right)\underbrace {\operatorname {Tr} \left({{\rho }_{1}}\right)} _{1}\\&\Rightarrow S={{S}_{1}}+{{S}_{2}}\end{aligned}}
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MathML (2.492 KB / 436 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><mo>=</mo><msub><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><msub><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></munder><mo>+</mo><msub><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>ρ</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><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><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></munder></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>S</mi><mo>=</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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