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Display information for equation id:math.2362.12 on revision:2362
* Page found: Prüfungsfragen:Statistische Physik (eq math.2362.12)
(force rerendering)Occurrences on the following pages:
Hash: 9c0676725b62884c4c6ab5d29c28bef6
TeX (original user input):
S:=-k \left\langle \operatorname{ln} \rho \right\rangle =-k \operatorname{Tr} \left(\operatorname{ln} \rho \right\rangle= -k\sum_\alpha p_\alpha \operatorname{ln} p_\alpha
TeX (checked):
S:=-k\left\langle \operatorname {ln} \rho \right\rangle =-k\operatorname {Tr} \left(\operatorname {ln} \rho \right\rangle =-k\sum _{\alpha }p_{\alpha }\operatorname {ln} p_{\alpha }
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MathML (989 B / 307 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>S</mi><mi>:</mi><mo>=</mo><mo>−</mo><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>ln</mi><mo>⁡</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mo>−</mo><mi>k</mi><mi data-mjx-texclass="OP" mathvariant="normal">Tr</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mo>−</mo><mi>k</mi><munder><mo texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></munder><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mi>ln</mi><mo>⁡</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub></mstyle></mrow></math>
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