Gauss's Theorem, also known as the Divergence Theorem, relates the flow of a vector field through a closed surface to the behavior of the field inside the volume bounded by that surface. It states that the total divergence of a vector field within a volume is equal to the total flux of the field across the boundary surface of that volume. This connection is crucial for transforming volume integrals into surface integrals, making calculations more manageable in various physical applications.
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