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Display information for equation id:math.2076.39 on revision:2076

* Page found: Poisson- Gleichung und Greensche Funktion (eq math.2076.39)

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Hash: 41e1f170f6d405372e352b6dcbbcc161

TeX (original user input):

{{\Delta }_{r}}G=\Delta \frac{1}{4\pi {{\varepsilon }_{0}}}\frac{1}{|\bar{r}-\bar{r}\acute{\ }|}=-\frac{1}{{{\varepsilon }_{0}}}\delta \left( \bar{r}-\bar{r}\acute{\ } \right)

TeX (checked):

{{\Delta }_{r}}G=\Delta {\frac {1}{4\pi {{\varepsilon }_{0}}}}{\frac {1}{|{\bar {r}}-{\bar {r}}{\acute {\ }}|}}=-{\frac {1}{{\varepsilon }_{0}}}\delta \left({\bar {r}}-{\bar {r}}{\acute {\ }}\right)

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MathML (experimentell; keine Bilder) rendering

MathML (1.508 KB / 380 B) :

ΔrG=Δ14πε01|r¯r¯ ´|=1ε0δ(r¯r¯ ´)
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>Δ</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mi>G</mi><mo stretchy="false">=</mo><mi>Δ</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>π</mi><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">|</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">|</mo></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>r</mi><mo>¯</mo></mover><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Poisson- Gleichung und Greensche Funktion page

Identifiers

  • Δr
  • G
  • Δ
  • π
  • ε0
  • r¯
  • r¯
  •  ´
  • ε0
  • δ
  • r¯
  • r¯
  •  ´

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