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Display information for equation id:math.2502.8 on revision:2502
* Page found: Tieftemperaturverhalten (eq math.2502.8)
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Hash: 44e29a0df63338556f2e3061250f6d24
TeX (original user input):
S=-k\sum\limits_{n=0}^{\infty }{{}}{{P}_{n}}\ln {{P}_{n}}\approx -k{{g}_{0}}\frac{1}{{{g}_{0}}}\ln \frac{1}{{{g}_{0}}}=k\ln {{g}_{0}}
TeX (checked):
S=-k\sum \limits _{n=0}^{\infty }{}{{P}_{n}}\ln {{P}_{n}}\approx -k{{g}_{0}}{\frac {1}{{g}_{0}}}\ln {\frac {1}{{g}_{0}}}=k\ln {{g}_{0}}
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MathML (1.276 KB / 326 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><mo>=</mo><mo>−</mo><mi>k</mi><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mi>ln</mi><mo>⁡</mo><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub><mo>≈</mo><mo>−</mo><mi>k</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mo>=</mo><mi>k</mi><mi>ln</mi><mo>⁡</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mstyle></mrow></math>
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