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单词 generating function
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generating function
generating function n. [after French fonction génératrice (P. S. de Laplace 1782, in Hist. de l'Acad. Royale des Sci. 1779 207)] Mathematics a function used to define a series of numbers when the function is expressed as a power series whose coefficients form the series.See also moment generating function n. at moment n. Compounds, probability generating function n. at probability n. Compounds 2.
ΚΠ
1801 Monthly Rev. 36 498 Chap. 2. contains the theory of series deduced from the consideration of generating functions.
1935 E. U. Condon & G. H. Shortley Theory Atomic Spectra v. 115 The Laguerre polynomials may also be studied with the aid of their generating function.
2000 J. M. Harris et al. Combinatorics & Graph Theory ii. 102 This example illustrates the general strategy for using generating functions to solve combinatorial problems.
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