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Display information for equation id:math.2284.28 on revision:2284
* Page found: Beispiel des Großkanonischen Ensenbles (eq math.2284.28)
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TeX (original user input):
\begin{align}
& dE=d{{E}_{1}}+d{{E}_{2}}=0\to -d{{E}_{1}}=d{{E}_{2}} \\
& dV=d{{V}_{1}}+d{{V}_{2}}=0\to -d{{V}_{1}}=d{{V}_{2}} \\
& d\bar{N}=d{{{\bar{N}}}_{1}}+d{{{\bar{N}}}_{2}}=0\to -d{{{\bar{N}}}_{1}}=d{{{\bar{N}}}_{2}} \\
& \underbrace{dS=d{{S}_{1}}+d{{S}_{2}}=0}_{\begin{smallmatrix}
Gesamtsytem \\
abgeschlossen
\end{smallmatrix}}\to -d{{S}_{1}}=d{{S}_{2}}
\end{align}
TeX (checked):
{\begin{aligned}&dE=d{{E}_{1}}+d{{E}_{2}}=0\to -d{{E}_{1}}=d{{E}_{2}}\\&dV=d{{V}_{1}}+d{{V}_{2}}=0\to -d{{V}_{1}}=d{{V}_{2}}\\&d{\bar {N}}=d{{\bar {N}}_{1}}+d{{\bar {N}}_{2}}=0\to -d{{\bar {N}}_{1}}=d{{\bar {N}}_{2}}\\&\underbrace {dS=d{{S}_{1}}+d{{S}_{2}}=0} _{\begin{smallmatrix}Gesamtsytem\\abgeschlossen\end{smallmatrix}}\to -d{{S}_{1}}=d{{S}_{2}}\end{aligned}}
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<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><mi>d</mi><mi>E</mi><mo>=</mo><mi>d</mi><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><mi>d</mi><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mn>0</mn><mo accent="false">→</mo><mo>−</mo><mi>d</mi><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>d</mi><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mi>V</mi><mo>=</mo><mi>d</mi><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><mi>d</mi><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mn>0</mn><mo accent="false">→</mo><mo>−</mo><mi>d</mi><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>d</mi><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mi>d</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><mi>d</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mn>0</mn><mo accent="false">→</mo><mo>−</mo><mi>d</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>d</mi><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>S</mi><mo>=</mo><mi>d</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>+</mo><mi>d</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo>=</mo><mn>0</mn></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>G</mi><mi>e</mi><mi>s</mi><mi>a</mi><mi>m</mi><mi>t</mi><mi>s</mi><mi>y</mi><mi>t</mi><mi>e</mi><mi>m</mi></mtd></mtr><mtr><mtd><mi>a</mi><mi>b</mi><mi>g</mi><mi>e</mi><mi>s</mi><mi>c</mi><mi>h</mi><mi>l</mi><mi>o</mi><mi>s</mi><mi>s</mi><mi>e</mi><mi>n</mi></mtd></mtr></mtable></mrow></mrow></munder><mo accent="false">→</mo><mo>−</mo><mi>d</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo>=</mo><mi>d</mi><msub><mi>S</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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