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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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Hash: d10e980e8be44671337e8cc6ce70b8e6

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}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (50.254 KB / 4.919 KB) :

d ⁢ E = d ⁢ E 1 + d ⁢ E 2 = 0 → - d ⁢ E 1 = d ⁢ E 2 d ⁢ V = d ⁢ V 1 + d ⁢ V 2 = 0 → - d ⁢ V 1 = d ⁢ V 2 d ⁢ N ¯ = d ⁢ N ¯ 1 + d ⁢ N ¯ 2 = 0 → - d ⁢ N ¯ 1 = d ⁢ N ¯ 2 d ⁢ S = d ⁢ S 1 + d ⁢ S 2 = 0 ⏟ G ⁢ e ⁢ s ⁢ a ⁢ m ⁢ t ⁢ s ⁢ y ⁢ t ⁢ e ⁢ m a ⁢ b ⁢ g ⁢ e ⁢ s ⁢ c ⁢ h ⁢ l ⁢ o ⁢ s ⁢ s ⁢ e ⁢ n → - d ⁢ S 1 = d ⁢ S 2 missing-subexpression 𝑑 𝐸 𝑑 subscript 𝐸 1 𝑑 subscript 𝐸 2 0 → 𝑑 subscript 𝐸 1 𝑑 subscript 𝐸 2 missing-subexpression 𝑑 𝑉 𝑑 subscript 𝑉 1 𝑑 subscript 𝑉 2 0 → 𝑑 subscript 𝑉 1 𝑑 subscript 𝑉 2 missing-subexpression 𝑑 ¯ 𝑁 𝑑 subscript ¯ 𝑁 1 𝑑 subscript ¯ 𝑁 2 0 → 𝑑 subscript ¯ 𝑁 1 𝑑 subscript ¯ 𝑁 2 missing-subexpression → subscript ⏟ 𝑑 𝑆 𝑑 subscript 𝑆 1 𝑑 subscript 𝑆 2 0 𝐺 𝑒 𝑠 𝑎 𝑚 𝑡 𝑠 𝑦 𝑡 𝑒 𝑚 𝑎 𝑏 𝑔 𝑒 𝑠 𝑐 ℎ 𝑙 𝑜 𝑠 𝑠 𝑒 𝑛 𝑑 subscript 𝑆 1 𝑑 subscript 𝑆 2 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle dE=d{{E}_{1}}+d{{E}% _{2}}=0\to-d{{E}_{1}}=d{{E}_{2}}\\ &\displaystyle dV=d{{V}_{1}}+d{{V}_{2}}=0\to-d{{V}_{1}}=d{{V}_{2}}\\ &\displaystyle d\bar{N}=d{{{\bar{N}}}_{1}}+d{{{\bar{N}}}_{2}}=0\to-d{{{\bar{N}% }}_{1}}=d{{{\bar{N}}}_{2}}\\ &\displaystyle\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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MathML (experimentell; keine Bilder) rendering

MathML (3.281 KB / 512 B) :

dE=dE1+dE2=0→−dE1=dE2dV=dV1+dV2=0→−dV1=dV2dN¯=dN¯1+dN¯2=0→−dN¯1=dN¯2dS=dS1+dS2=0⏟Gesamtsytemabgeschlossen→−dS1=dS2

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Identifiers

  • d
  • E
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  • d
  • V1
  • d
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  • d
  • N¯
  • d
  • N¯1
  • d
  • N¯2
  • d
  • N¯1
  • d
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  • d
  • S
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  • d
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  • G
  • e
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  • d
  • S1
  • d
  • S2

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“