Jump to navigation
Jump to search
General
Display information for equation id:math.2422.39 on revision:2422
* Page found: Entropie von Gleichgewichtszuständen (eq math.2422.39)
(force rerendering)Occurrences on the following pages:
Hash: eea39099cfdf35317716a747870724a3
TeX (original user input):
\begin{align}
& \frac{\partial {{g}_{n}}}{\partial {{z}^{m}}}=\frac{\partial {{g}_{m}}}{\partial {{z}^{n}}} \\
& \Rightarrow f\ddot{u}r\Psi :=\int_{{}}^{{}}{d{{z}^{n}}{{g}_{n}}}\Rightarrow \\
& \frac{\partial \Psi }{\partial {{z}^{m}}}=\int_{{}}^{{}}{d{{z}^{n}}\frac{\partial {{g}_{n}}}{\partial {{z}^{m}}}}=\int_{{}}^{{}}{d{{z}^{n}}\frac{\partial {{g}_{m}}}{\partial {{z}^{n}}}=}\int_{{}}^{{}}{d{{g}_{m}}={{g}_{m}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {\partial {{g}_{n}}}{\partial {{z}^{m}}}}={\frac {\partial {{g}_{m}}}{\partial {{z}^{n}}}}\\&\Rightarrow f{\ddot {u}}r\Psi :=\int _{}^{}{d{{z}^{n}}{{g}_{n}}}\Rightarrow \\&{\frac {\partial \Psi }{\partial {{z}^{m}}}}=\int _{}^{}{d{{z}^{n}}{\frac {\partial {{g}_{n}}}{\partial {{z}^{m}}}}}=\int _{}^{}{d{{z}^{n}}{\frac {\partial {{g}_{m}}}{\partial {{z}^{n}}}}=}\int _{}^{}{d{{g}_{m}}={{g}_{m}}}\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (3.88 KB / 470 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><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>u</mi><mo>¨</mo></mover></mrow></mrow><mi>r</mi><mi mathvariant="normal">Ψ</mi><mi>:</mi><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow><mo>⇒</mo></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi mathvariant="normal">Ψ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup></mrow></mrow></mfrac></mrow></mrow><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>z</mi><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup></mrow></mrow></mfrac></mrow><mo>=</mo></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub><mo>=</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msub></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></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 Entropie von Gleichgewichtszuständen page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results