英语词汇“Green's theorem”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

Green's theorem

Mathematics

noun

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 ∫∫_S F · 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)..

Origin

Mid 19th century; earliest use found in William Thomson (1819–1890), archbishop of York.

单词	Green's theorem
释义	Green's theorem Mathematics noun 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 ∫∫_S F · 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).. Origin Mid 19th century; earliest use found in William Thomson (1819–1890), archbishop of York.
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