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单词 divergence theorem
释义

divergence theorem

For a bounded region R in R3 with smooth boundary Ʃ, and for a continuously differentiable vector field F on R,

Here dS = n dS, where S denotes surface area and n is the outward-pointing unit normal. As the divergence divF represents the local expansion/contraction of the field F, then the theorem states that the sum of such expansions equals the flux of F over the boundary Ʃ. See Stokes' theorem (generalized form).

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更新时间:2025/4/30 13:17:38