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Display information for equation id:math.2446.11 on revision:2446

* Page found: Thermodynamischer Limes (eq math.2446.11)

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TeX (original user input): 

\begin{align}
   & \sum\limits_{n}^{{}}{{}}\frac{\partial S(z)}{\partial \left( \left\langle {{M}^{n}} \right\rangle  \right)}\left\langle {{M}^{n}} \right\rangle =S(z) \\
  & \Rightarrow {{g}_{n}}(z):=\frac{\partial S(z)}{\partial \left( \left\langle {{M}^{n}} \right\rangle  \right)}=\frac{\partial S(\alpha z)}{\partial \left( \alpha \left\langle {{M}^{n}} \right\rangle  \right)}=:{{g}_{n}}(\alpha z) \\
 \end{align}

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MathML (24.88 KB / 2.9 KB) :

∑ n ∂ ⁡ S ⁢ ( z ) ∂ ⁡ ( ⟨ M n ⟩ ) ⁢ ⟨ M n ⟩ = S ⁢ ( z ) ⇒ g n ( z ) := ∂ ⁡ S ⁢ ( z ) ∂ ⁡ ( ⟨ M n ⟩ ) = ∂ ⁡ S ⁢ ( α ⁢ z ) ∂ ⁡ ( α ⁢ ⟨ M n ⟩ ) = : g n ( α z ) missing-subexpression subscript 𝑛 𝑆 𝑧 delimited-⟨⟩ superscript 𝑀 𝑛 delimited-⟨⟩ superscript 𝑀 𝑛 𝑆 𝑧 missing-subexpression fragments ⇒ subscript 𝑔 𝑛 fragments ( z ) assign 𝑆 𝑧 delimited-⟨⟩ superscript 𝑀 𝑛 𝑆 𝛼 𝑧 𝛼 delimited-⟨⟩ superscript 𝑀 𝑛 : subscript 𝑔 𝑛 fragments ( α z ) {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\sum\limits_{n}{{}}% \frac{\partial S(z)}{\partial\left(\left\langle{{M}^{n}}\right\rangle\right)}% \left\langle{{M}^{n}}\right\rangle=S(z)\\ &\displaystyle\Rightarrow{{g}_{n}}(z):=\frac{\partial S(z)}{\partial\left(% \left\langle{{M}^{n}}\right\rangle\right)}=\frac{\partial S(\alpha z)}{% \partial\left(\alpha\left\langle{{M}^{n}}\right\rangle\right)}=:{{g}_{n}}(% \alpha z)\\ \end{aligned}}}

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MathML (3.07 KB / 467 B) :

∑n∂S(z)∂(⟨Mn⟩)⟨Mn⟩=S(z)⇒gn(z):=∂S(z)∂(⟨Mn⟩)=∂S(αz)∂(α⟨Mn⟩)=:gn(αz)

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