Jump to navigation
Jump to search
General
Display information for equation id:math.2432.20 on revision:2432
* Page found: Spezielle Verteilungen (eq math.2432.20)
(force rerendering)Occurrences on the following pages:
Hash: cd7e13ff229722c030ca51c5f4ef5133
TeX (original user input):
\begin{align}
& G\left( T,p \right)=U-TS+pV=kT\Psi \left( T,p \right) \\
& =-kT\ln \left[ tr\left( {{e}^{-\beta \left( H+pV \right)}} \right) \right] \\
\end{align}
TeX (checked):
{\begin{aligned}&G\left(T,p\right)=U-TS+pV=kT\Psi \left(T,p\right)\\&=-kT\ln \left[tr\left({{e}^{-\beta \left(H+pV\right)}}\right)\right]\\\end{aligned}}
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 (1.566 KB / 389 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>G</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>U</mi><mo stretchy="false">−</mo><mi>T</mi><mi>S</mi><mo stretchy="false">+</mo><mi>p</mi><mi>V</mi><mo stretchy="false">=</mo><mi>k</mi><mi>T</mi><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>k</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mi>β</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>H</mi><mo stretchy="false">+</mo><mi>p</mi><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></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 Spezielle Verteilungen page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results