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Display information for equation id:math.2388.83 on revision:2388
* Page found: Informationsmaße (eq math.2388.83)
(force rerendering)Occurrences on the following pages:
Hash: 6f9c3d6311efabb8d2ad3a3f29d8a37a
TeX (original user input):
\frac{{{\partial }^{2}}K\left( P,P\acute{\ } \right)}{\partial {{P}_{i}}\partial {{P}_{j}}}=\frac{\partial }{\partial {{P}_{j}}}\left( \ln \frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }}+1 \right)=\frac{1}{{{P}_{i}}}{{\delta }_{ij}}\ge 0
TeX (checked):
{\frac {{{\partial }^{2}}K\left(P,P{\acute {\ }}\right)}{\partial {{P}_{i}}\partial {{P}_{j}}}}={\frac {\partial }{\partial {{P}_{j}}}}\left(\ln {\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}}+1\right)={\frac {1}{{P}_{i}}}{{\delta }_{ij}}\geq 0
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MathML (2.13 KB / 408 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"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>K</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>P</mi><mo>,</mo><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>∂</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow></mrow></mrow></mfrac></mrow><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mrow></mfrac></mrow><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo>≥</mo><mn>0</mn></mstyle></mrow></math>
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