| 单词 | power series |
| 释义 | > as lemmaspower series power series n. Mathematics an infinite sum of the form … + a′−2x−2 + a′−1x−1+ a0 + a1x + a2x2 + …, where each an is independent of x and n ranges over the set of integers (now often, the non-negative integers); a generalization of this for more than one variable. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > sequence > series > infinite secundan1685 infinite series1706 Taylor('s) series1816 Maclaurin's series1881 power series1884 Fibonacci('s) series1891 Laurent's expansion1893 Fibonacci('s) numbers1914 majorant1925 tetrahedral numbers1939 Fibonacci('s) sequence1964 binomial series1966 1884 Amer. Jrnl. Math. 6 257 Analytic functions of one variable therefore, which possess an addition equation and have an infinite number of polar singularities can be displayed as quotients of two power-series which converge for all finite arguments, and are periodic. 1938 F. E. Terman Fund. Radio v. 136 For electrode voltages such that the instantaneous plate current never became zero, the characteristics of a tube could be expressed in forms of the following power series. 1981 A. D. Pierce Acoustics v. 233 The latter is approximated by a power-series expansion in w truncated to first order, such that R ≃ (a2 + z2)½ + wa (a2 + z2)−½ sin ψ. < as lemmas |
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