Question: Which condition on (mathbf{F}) guarantees that the flux through (mathcal{S}_{1}) is equal to the flux through (mathcal{S}_{2}) for any two oriented surfaces (mathcal{S}_{1}) and (mathcal{S}_{2})

Which condition on $\mathbf{F}$ guarantees that the flux through $\mathcal{S}_{1}$ is equal to the flux through $\mathcal{S}_{2}$ for any two oriented surfaces $\mathcal{S}_{1}$ and $\mathcal{S}_{2}$ with the same oriented boundary?

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