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Display information for equation id:math.2508.54 on revision:2508
* Page found: Reale Gase (eq math.2508.54)
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Hash: 9f8c2328e9ab938563a4a47ec445ed1e
TeX (original user input):
\begin{align}
& \Delta u\left( T,v \right)={{c}_{v}}\Delta T-a\Delta \frac{1}{v}=!=0 \\
& \Rightarrow \Delta T<0 \\
& f\ddot{u}r \\
& \Delta v=-{{v}^{2}}\Delta \frac{1}{v}>0 \\
\end{align}
TeX (checked):
{\begin{aligned}&\Delta u\left(T,v\right)={{c}_{v}}\Delta T-a\Delta {\frac {1}{v}}=!=0\\&\Rightarrow \Delta T<0\\&f{\ddot {u}}r\\&\Delta v=-{{v}^{2}}\Delta {\frac {1}{v}}>0\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
MathML (0 B / 8 B) :
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MathML (experimental; no images) rendering
MathML (1.653 KB / 442 B) :
<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 mathvariant="normal">Δ</mi><mi>u</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>v</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msub><mi>c</mi><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></msub><mi mathvariant="normal">Δ</mi><mi>T</mi><mo>−</mo><mi>a</mi><mi mathvariant="normal">Δ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></mfrac></mrow><mo>=</mo><mi>!</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi mathvariant="normal">Δ</mi><mi>T</mi><mo><</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>u</mi><mo>¨</mo></mover></mrow></mrow><mi>r</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi mathvariant="normal">Δ</mi><mi>v</mi><mo>=</mo><mo>−</mo><msup><mi>v</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi mathvariant="normal">Δ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>v</mi></mrow></mfrac></mrow><mo>></mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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