DLMF:19.33.E10

MaRDI QIDQ7404

• Label: DLMF:19.33.E10

Digital Library of Mathematical Functions ID 19.33.E10

${\displaystyle{\displaystyle U=\frac{1}{2}\int_{{\mathbb{R}^{6}}}\frac{\rho(x,y,z)\rho(x^{\prime},y^{\prime},z^{\prime})\mathrm{d}x\mathrm{d}y\mathrm{d}z\mathrm{d}x^{\prime}\mathrm{d}y^{\prime}\mathrm{d}z^{\prime}}{\sqrt{(x-x^{\prime})^{2}+(y-y^{\prime})^{2}+(z-z^{\prime})^{2}}}.}}$

Symbols List

• ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$: differential of x
• ${\displaystyle{\displaystyle\int}}$: integral
• ${\displaystyle{\displaystyle\mathbb{R}}}$:
• ${\displaystyle{\displaystyle\rho(x,y,z)}}$: density
• ${\displaystyle{\displaystyle U}}$: energy
 

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