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Display information for equation id:54 on page id:457

* Page found: Reale Gase (eq 54) (force rerendering)

Occurences on the following pages:

   Reale Gase Eq: 54
TeX (as stored in database):
\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}
MathML (10.497 KB / 1.799 KB) :
Δu(T,v)=cvΔT-aΔ1v=!=0fragmentsΔufragmentsnormal-(Tnormal-,vnormal-)subscriptcvΔTaΔ1v0\displaystyle\Delta u\left(T,v\right)={{c}_{{v}}}\Delta T-a\Delta\frac{1}{v}=!=0
ΔT<0fragmentsnormal-⇒ΔT0\displaystyle\Rightarrow\Delta T<0
fu¨rfnormal-¨ur\displaystyle f\ddot{u}r
Δv=-v2Δ1v>0normal-Δvsuperscriptv2normal-Δ1v0\displaystyle\Delta v=-{{v}^{{2}}}\Delta\frac{1}{v}>0

SVG (0 B / 8 B) :
PNG (0 B / 8 B) :
Hash : e3a4d8532350022211400347a2c4ab44

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Variables

19 results

  • mi ! (1/13/276)
  • mo ¨ (1/6/301)
  • mi Δ (6/11/755)
  • mo < (1/19/1435)
  • mo (1/22/1479)
  • mi u (2/20/1504)
  • mi c (1/37/2835)
  • mo > (1/7/3290)
  • mi v (6/211/3347)
  • mi f (1/22/3433)
  • mi a (1/37/5608)
  • mo , (1/19/8858)
  • mi T (3/142/10589)
  • mo - (2/106/10795)
  • mi r (1/86/14377)
  • mo = (4/144/18270)
  • mo ( (1/169/18822)
  • mo ) (1/169/18905)
  • mo (5/419/59187)

MathML


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<tr id="S0.Ex1" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
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<td class="eqpad"/></tr>
<tr id="S0.Ex2" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
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<td class="eqpad"/></tr>
<tr id="S0.Ex3" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
<td colspan="1" class="td left" style="text-align:left;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\displaystyle f\ddot{u}r" id="S0.Ex3.m2.1" display="inline" xref="S0.Ex3.m2.1.cmml"><semantics id="S0.Ex3.m2.1a" xref="S0.Ex3.m2.1.cmml"><mrow id="S0.Ex3.m2.1.4" xref="S0.Ex3.m2.1.4.cmml"><mi id="S0.Ex3.m2.1.1" xref="S0.Ex3.m2.1.1.cmml">f</mi><mo id="S0.Ex3.m2.1.4.1" xref="S0.Ex3.m2.1.4.1.cmml"></mo><mover accent="true" id="S0.Ex3.m2.1.2" xref="S0.Ex3.m2.1.2.cmml"><mi id="S0.Ex3.m2.1.2.2" xref="S0.Ex3.m2.1.2.2.cmml">u</mi><mo id="S0.Ex3.m2.1.2.1" xref="S0.Ex3.m2.1.2.1.cmml">¨</mo></mover><mo id="S0.Ex3.m2.1.4.1a" xref="S0.Ex3.m2.1.4.1.cmml"></mo><mi id="S0.Ex3.m2.1.3" xref="S0.Ex3.m2.1.3.cmml">r</mi></mrow><annotation-xml id="S0.Ex3.m2.1.cmml" encoding="MathML-Content" xref="S0.Ex3.m2.1"><apply id="S0.Ex3.m2.1.4.cmml" xref="S0.Ex3.m2.1.4"><times id="S0.Ex3.m2.1.4.1.cmml" xref="S0.Ex3.m2.1.4.1"/><ci id="S0.Ex3.m2.1.1.cmml" xref="S0.Ex3.m2.1.1">f</ci><apply id="S0.Ex3.m2.1.2.cmml" xref="S0.Ex3.m2.1.2"><ci id="S0.Ex3.m2.1.2.1.cmml" xref="S0.Ex3.m2.1.2.1">normal-¨</ci><ci id="S0.Ex3.m2.1.2.2.cmml" xref="S0.Ex3.m2.1.2.2">u</ci></apply><ci id="S0.Ex3.m2.1.3.cmml" xref="S0.Ex3.m2.1.3">r</ci></apply></annotation-xml><annotation id="S0.Ex3.m2.1b" encoding="application/x-tex" xref="S0.Ex3.m2.1.cmml">\displaystyle f\ddot{u}r</annotation></semantics></math></td>
<td class="eqpad"/></tr>
<tr id="S0.Ex4" class="equation baseline">
<td class="eqpad"/>
<td colspan="1" class="td right" style="text-align:right;"/>
<td colspan="1" class="td left" style="text-align:left;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="\displaystyle\Delta v=-{{v}^{{2}}}\Delta\frac{1}{v}&gt;0" id="S0.Ex4.m2.1" display="inline" xref="S0.Ex4.m2.1.cmml"><semantics id="S0.Ex4.m2.1a" xref="S0.Ex4.m2.1.cmml"><mrow id="S0.Ex4.m2.1.11" xref="S0.Ex4.m2.1.11.cmml"><mrow id="S0.Ex4.m2.1.11.2" xref="S0.Ex4.m2.1.11.2.cmml"><mi mathvariant="normal" id="S0.Ex4.m2.1.1" xref="S0.Ex4.m2.1.1.cmml">Δ</mi><mo id="S0.Ex4.m2.1.11.2.1" xref="S0.Ex4.m2.1.11.2.1.cmml"></mo><mi id="S0.Ex4.m2.1.2" xref="S0.Ex4.m2.1.2.cmml">v</mi></mrow><mo id="S0.Ex4.m2.1.3" xref="S0.Ex4.m2.1.3.cmml">=</mo><mrow id="S0.Ex4.m2.1.11.3" xref="S0.Ex4.m2.1.11.3.cmml"><mo id="S0.Ex4.m2.1.4" xref="S0.Ex4.m2.1.4.cmml">-</mo><mrow id="S0.Ex4.m2.1.11.3.1" xref="S0.Ex4.m2.1.11.3.1.cmml"><msup id="S0.Ex4.m2.1.11.3.1.2" xref="S0.Ex4.m2.1.11.3.1.2.cmml"><mi id="S0.Ex4.m2.1.5" xref="S0.Ex4.m2.1.5.cmml">v</mi><mn id="S0.Ex4.m2.1.6.1" xref="S0.Ex4.m2.1.6.1.cmml">2</mn></msup><mo id="S0.Ex4.m2.1.11.3.1.1" xref="S0.Ex4.m2.1.11.3.1.1.cmml"></mo><mi mathvariant="normal" id="S0.Ex4.m2.1.7" xref="S0.Ex4.m2.1.7.cmml">Δ</mi><mo id="S0.Ex4.m2.1.11.3.1.1a" xref="S0.Ex4.m2.1.11.3.1.1.cmml"></mo><mstyle displaystyle="true" id="S0.Ex4.m2.1.8" xref="S0.Ex4.m2.1.8.cmml"><mfrac id="S0.Ex4.m2.1.8a" xref="S0.Ex4.m2.1.8.cmml"><mn id="S0.Ex4.m2.1.8.2" xref="S0.Ex4.m2.1.8.2.cmml">1</mn><mi id="S0.Ex4.m2.1.8.3" xref="S0.Ex4.m2.1.8.3.cmml">v</mi></mfrac></mstyle></mrow></mrow><mo id="S0.Ex4.m2.1.9" xref="S0.Ex4.m2.1.9.cmml">&gt;</mo><mn id="S0.Ex4.m2.1.10" xref="S0.Ex4.m2.1.10.cmml">0</mn></mrow><annotation-xml id="S0.Ex4.m2.1.cmml" encoding="MathML-Content" xref="S0.Ex4.m2.1"><apply id="S0.Ex4.m2.1.11.cmml" xref="S0.Ex4.m2.1.11"><and id="S0.Ex4.m2.1.11a.cmml" xref="S0.Ex4.m2.1.11"/><apply id="S0.Ex4.m2.1.11b.cmml" xref="S0.Ex4.m2.1.11"><eq id="S0.Ex4.m2.1.3.cmml" xref="S0.Ex4.m2.1.3"/><apply id="S0.Ex4.m2.1.11.2.cmml" xref="S0.Ex4.m2.1.11.2"><times id="S0.Ex4.m2.1.11.2.1.cmml" xref="S0.Ex4.m2.1.11.2.1"/><ci id="S0.Ex4.m2.1.1.cmml" xref="S0.Ex4.m2.1.1">normal-Δ</ci><ci id="S0.Ex4.m2.1.2.cmml" xref="S0.Ex4.m2.1.2">v</ci></apply><apply id="S0.Ex4.m2.1.11.3.cmml" xref="S0.Ex4.m2.1.11.3"><minus id="S0.Ex4.m2.1.4.cmml" xref="S0.Ex4.m2.1.4"/><apply id="S0.Ex4.m2.1.11.3.1.cmml" xref="S0.Ex4.m2.1.11.3.1"><times id="S0.Ex4.m2.1.11.3.1.1.cmml" xref="S0.Ex4.m2.1.11.3.1.1"/><apply id="S0.Ex4.m2.1.11.3.1.2.cmml" xref="S0.Ex4.m2.1.11.3.1.2"><csymbol cd="ambiguous" id="S0.Ex4.m2.1.11.3.1.2.1.cmml">superscript</csymbol><ci id="S0.Ex4.m2.1.5.cmml" xref="S0.Ex4.m2.1.5">v</ci><cn type="integer" id="S0.Ex4.m2.1.6.1.cmml" xref="S0.Ex4.m2.1.6.1">2</cn></apply><ci id="S0.Ex4.m2.1.7.cmml" xref="S0.Ex4.m2.1.7">normal-Δ</ci><apply id="S0.Ex4.m2.1.8.cmml" xref="S0.Ex4.m2.1.8"><divide id="S0.Ex4.m2.1.8.1.cmml"/><cn type="integer" id="S0.Ex4.m2.1.8.2.cmml" xref="S0.Ex4.m2.1.8.2">1</cn><ci id="S0.Ex4.m2.1.8.3.cmml" xref="S0.Ex4.m2.1.8.3">v</ci></apply></apply></apply></apply><apply id="S0.Ex4.m2.1.11c.cmml" xref="S0.Ex4.m2.1.11"><gt id="S0.Ex4.m2.1.9.cmml" xref="S0.Ex4.m2.1.9"/><share href="#S0.Ex4.m2.1.11.3.cmml" id="S0.Ex4.m2.1.11d.cmml" xref="S0.Ex4.m2.1.11"/><cn type="integer" id="S0.Ex4.m2.1.10.cmml" xref="S0.Ex4.m2.1.10">0</cn></apply></apply></annotation-xml><annotation id="S0.Ex4.m2.1b" encoding="application/x-tex" xref="S0.Ex4.m2.1.cmml">\displaystyle\Delta v=-{{v}^{{2}}}\Delta\frac{1}{v}&gt;0</annotation></semantics></math></td>
<td class="eqpad"/></tr>
</table>