Jump to navigation
Jump to search
General
Display information for equation id:math.2497.39 on revision:2497
* Page found: Thermodynamische Stabilität (eq math.2497.39)
(force rerendering)Occurrences on the following pages:
Hash: 8c9102171d96bd976033d5a6c6099c57
TeX (original user input):
\begin{align}
& {{C}_{1}}={{\left\langle b \right\rangle }_{c}}=-tr\left( \rho \ln \rho \right)=-I=\frac{S}{k}\quad Entropie \\
& {{C}_{2}}={{\left\langle {{b}^{2}} \right\rangle }_{c}}=\left\langle {{\left( \Delta b \right)}^{2}} \right\rangle =\left\langle {{b}^{2}} \right\rangle -{{\left\langle b \right\rangle }^{2}}\quad Bitzahl\operatorname{var}ianz \\
\end{align}
TeX (checked):
{\begin{aligned}&{{C}_{1}}={{\left\langle b\right\rangle }_{c}}=-tr\left(\rho \ln \rho \right)=-I={\frac {S}{k}}\quad Entropie\\&{{C}_{2}}={{\left\langle {{b}^{2}}\right\rangle }_{c}}=\left\langle {{\left(\Delta b\right)}^{2}}\right\rangle =\left\langle {{b}^{2}}\right\rangle -{{\left\langle b\right\rangle }^{2}}\quad Bitzahl\operatorname {var} ianz\\\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 (2.537 KB / 524 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><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>b</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo>=</mo><mo>−</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ρ</mi><mi>ln</mi><mo>⁡</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mi>I</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></mfrac></mrow><mspace width="1em"></mspace><mi>E</mi><mi>n</mi><mi>t</mi><mi>r</mi><mi>o</mi><mi>p</mi><mi>i</mi><mi>e</mi></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>c</mi></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">Δ</mi><mi>b</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msup><mi>b</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>b</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mspace width="1em"></mspace><mi>B</mi><mi>i</mi><mi>t</mi><mi>z</mi><mi>a</mi><mi>h</mi><mi>l</mi><mi data-mjx-texclass="OP" mathvariant="normal">var</mi><mo>⁡</mo><mi>i</mi><mi>a</mi><mi>n</mi><mi>z</mi></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 Thermodynamische Stabilität page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results