Jump to navigation Jump to search

General

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

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (2.13 KB / 408 B) :

2K(P,P´)PiPj=Pj(lnPiPi´+1)=1Piδij0
<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>&#x2202;</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>&#x2202;</mi><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>&#x2202;</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>&#x2202;</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</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>&#x2061;</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>&#x03B4;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mo>&#x2265;</mo><mn>0</mn></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Informationsmaße page

Identifiers

  • K
  • P
  • P
  • ´
  • Pi
  • Pj
  • Pj
  • Pi
  • Pi
  • ´
  • Pi
  • δij

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results