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Display information for equation id:math.2502.12 on revision:2502

* Page found: Tieftemperaturverhalten (eq math.2502.12)

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Occurrences on the following pages:

Hash: 58da0021eae0fae584bdef7b484ed46a

TeX (original user input):

\begin{align}

& S=k\ln {{g}_{0}}<k\alpha \left( \ln \nu +\ln {{N}_{A}} \right)\approx k\alpha \ln {{N}_{a}} \\

& \ln {{N}_{a}}\tilde{\ }50 \\

& \Rightarrow S=k\ln {{g}_{0}}<k\alpha \left( \ln \nu +\ln {{N}_{A}} \right)\approx k\alpha \ln {{N}_{a}}<<k{{N}_{A}} \\

\end{align}

TeX (checked):

{\begin{aligned}&S=k\ln {{g}_{0}}<k\alpha \left(\ln \nu +\ln {{N}_{A}}\right)\approx k\alpha \ln {{N}_{a}}\\&\ln {{N}_{a}}{\tilde {\ }}50\\&\Rightarrow S=k\ln {{g}_{0}}<k\alpha \left(\ln \nu +\ln {{N}_{A}}\right)\approx k\alpha \ln {{N}_{a}}<<k{{N}_{A}}\\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.984 KB / 431 B) :

S=klng0<kα(lnν+lnNA)kαlnNalnNa~50S=klng0<kα(lnν+lnNA)kαlnNa<<kNA
<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>S</mi><mo>=</mo><mi>k</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>&lt;</mo><mi>k</mi><mi>&#x03B1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>&#x2061;</mo><mi>&#x03BD;</mi><mo>+</mo><mi>ln</mi><mo>&#x2061;</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2248;</mo><mi>k</mi><mi>&#x03B1;</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi>ln</mi><mo>&#x2061;</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><mn>5</mn><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><mi>S</mi><mo>=</mo><mi>k</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>g</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>&lt;</mo><mi>k</mi><mi>&#x03B1;</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ln</mi><mo>&#x2061;</mo><mi>&#x03BD;</mi><mo>+</mo><mi>ln</mi><mo>&#x2061;</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&#x2248;</mo><mi>k</mi><mi>&#x03B1;</mi><mi>ln</mi><mo>&#x2061;</mo><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow></msub><mo>&lt;</mo><mo>&lt;</mo><mi>k</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>A</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Tieftemperaturverhalten page

Identifiers

  • S
  • k
  • g0
  • k
  • α
  • ν
  • NA
  • k
  • α
  • Na
  • Na
  • ~
  • S
  • k
  • g0
  • k
  • α
  • ν
  • NA
  • k
  • α
  • Na
  • k
  • NA

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