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单词 hyperelliptic
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hyperelliptic
(a) In various terms of modern Mathematics, as hyperconic, hypercycle, etc. (see below); esp. in adjectives applied to functions, etc., related to or resembling those denoted by the simple adjectives, but involving some extension or complication, as hyper-complex, hyperelliptic, hypergeometric, hypergeometrical, hyperjacobian, hyperspherical. See also hyperdeterminant n. and adj.
ΚΠ
1816 tr. S. F. Lacroix Elem. Treat. Differential & Integral Calculus 574 These series, in which the number of factors increases from term to term, have been designated by Euler..hypergeometrical series.
1881 Athenæum 22 Jan. 136/1 ‘On the Periodicity of Hyper~elliptic Integrals of the First Class’, by Mr. W. R. W. Roberts.
1881 Athenæum 22 Jan. 136/1 The Differential Equation which is satisfied by the Hypergeometric Series.
1893 A. R. Forsyth Theory Functions Complex Variable 32 The hypergeometric series, together with all its derivatives, is holomorphic within a circle of radius unity and centre the origin.
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