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\begin{aligned}

\displaystyle \Phi_\mathrm{E} =  \oiintiint_S \mathbf{E} \cdot \mathrm{d}\mathbf{A} = \overline{\varepsilon}_0 q Q
\end{aligned}

where

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  body \displaystyle S

  is a closed Gaussian surface

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  body \displaystyle \mathbf{E}

  is the electric field (“electric force”, i.e., force per charge)

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  body \mathrm{d}\mathbf{A}

  is an infinitessimal surface normal area vector on surface

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  body S

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  body \displaystyle Q

  is the total electric charge (“quantity of electricity”) contained within the surface

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  body \displaystyle \overline{\varepsilon}_0 = \varepsilon_0^{-1}

  is the vacuum “elastivity” (reciprocal of vacuum “capacitivity” also known as vacuum permittivity)

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