| 单词 | green's theorem |
| 释义 | > as lemmasGreen's theorem Green's theorem n. a theorem relating a line integral around a closed curve to a double integral over the region bounded by the curve, or a double integral over a closed surface to a triple integral over the volume bounded by the surface.Green's theorem is a special case of Stokes' theorem (for curves in the plane), and of the divergence theorem (for functions of two variables). A common representation is ∫∫SF · i dS = ∫∫∫V∇ · F dV, where i is a unit vector normal to dS.The theorem was described by Green in his book Ess. Applic. Math. Anal. Theories Electr. & Magnetism (1828).extracted from Greenn.2< as lemmas |
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