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.
随便看	septum septuple septuplet sepulcher sepulchral sepulchrally sepulchre sepulture seq. seqq. sequacious sequaciously sequacity sequel sequela sequence sequence dancing sequence of tenses sequencer sequent sequential sequential access sequential circuit sequentiality sequentially