Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.2528.22 on revision:2528
* Page found: Mehrkomponentige ideale Gase (eq math.2528.22)
(force rerendering)Occurrences on the following pages:
Hash: 935ca3694a9c0d72e76e845e968866b9
TeX (original user input):
\begin{align}
& {{{\tilde{\mu }}}_{i}}(T,p,{{x}_{i}})={{u}_{i}}(T)-T{{c}_{pi}}\ln T+RT+RT\ln p+RT\ln {{x}_{i}} \\
& {{u}_{i}}(T)-T{{c}_{pi}}\ln T+RT:={{\Phi }_{i}}(T) \\
& \Rightarrow {{{\tilde{\mu }}}_{i}}(T,p,{{x}_{i}})={{\Phi }_{i}}(T)+RT\ln ({{x}_{i}}p)={{\Phi }_{i}}(T)+RT\ln ({{p}_{i}}) \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\tilde {\mu }}_{i}}(T,p,{{x}_{i}})={{u}_{i}}(T)-T{{c}_{pi}}\ln T+RT+RT\ln p+RT\ln {{x}_{i}}\\&{{u}_{i}}(T)-T{{c}_{pi}}\ln T+RT:={{\Phi }_{i}}(T)\\&\Rightarrow {{\tilde {\mu }}_{i}}(T,p,{{x}_{i}})={{\Phi }_{i}}(T)+RT\ln({{x}_{i}}p)={{\Phi }_{i}}(T)+RT\ln({{p}_{i}})\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (2.95 KB / 408 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"><msub><mover><mi>μ</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>T</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>i</mi></mrow></mrow></msub><mi>ln</mi><mo>⁡</mo><mi>T</mi><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><mi>p</mi><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">−</mo><mi>T</mi><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>p</mi><mi>i</mi></mrow></mrow></msub><mi>ln</mi><mo>⁡</mo><mi>T</mi><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mo stretchy="false">:=</mo><msub><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><msub><mover><mi>μ</mi><mo>~</mo></mover><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo>,</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><mo stretchy="false">(</mo><msub><mi>x</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mi>p</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>Φ</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo stretchy="false">+</mo><mi>R</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><mo stretchy="false">(</mo><msub><mi>p</mi><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">)</mo></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 Mehrkomponentige ideale Gase page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results