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

attributive and in the genitive. Designating (any of various forms of) a theorem which relates the integral of a product of two periodic functions to the sum of the products of their respective Fourier coefficients; spec. a form of the theorem in which the two periodic functions are taken to be equal, i.e. giving an expression for the integral of the square of a periodic function. Esp. in Parseval's formula, Parseval's theorem.

ΚΠ

1911 Proc. Royal Soc. A. 85 401 The theorem commonly known as Parseval's theorem..must be regarded as one of the most important results in the whole history of the Fourier series.

1939 E. C. Titchmarsh Theory of Functions (ed. 2) xii. 423 Parseval's formula therefore holds if the series is summed (C, 1).

1968 E. T. Copson Metric Spaces vii. 89 By Parseval's Theorem, the sequence..of Fourier co-efficients belongs to l².

1998 Ann. Numerical Math. 4 143 (title) The approximate sampling theorem, Poisson's sum formula, a decomposition theorem for Parseval's equation and their interconnections.

单词	parseval's formula
释义	> as lemmas Parseval's formula attributive and in the genitive. Designating (any of various forms of) a theorem which relates the integral of a product of two periodic functions to the sum of the products of their respective Fourier coefficients; spec. a form of the theorem in which the two periodic functions are taken to be equal, i.e. giving an expression for the integral of the square of a periodic function. Esp. in Parseval's formula, Parseval's theorem. ΚΠ 1911 Proc. Royal Soc. A. 85 401 The theorem commonly known as Parseval's theorem..must be regarded as one of the most important results in the whole history of the Fourier series. 1939 E. C. Titchmarsh Theory of Functions (ed. 2) xii. 423 Parseval's formula therefore holds if the series is summed (C, 1). 1968 E. T. Copson Metric Spaces vii. 89 By Parseval's Theorem, the sequence..of Fourier co-efficients belongs to l². 1998 Ann. Numerical Math. 4 143 (title) The approximate sampling theorem, Poisson's sum formula, a decomposition theorem for Parseval's equation and their interconnections. extracted from Parsevaln.² < as lemmas
随便看	to factor in to factor into to factor out to factor out of to fade into nothingness to fade to black to fadge up to fag out to fage from the truth to faik never a foot to fail little, not much to fail miserably to fail of to fail safe to fail terms to fake away to fake out to fake out and out to fake up to falderal it to fall a lip of contempt to fall a person's way to fall a prey to to fall a sacrifice to to fall a victim to

> as lemmas