英语词汇“parseval'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

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 theorem
释义	> as lemmas Parseval's theorem 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	let'let us see how let'let us see if let'let us see what let'let us see whether let'now get busy let's along let's don't let's get busy let's get this show on the road let's rock let's rock and roll let's roll let's rumble let's see etc let's see how let's see if let's see what let's see whether let's skip it let's you and i, let's you and me let's you and us let's you and you let, furnished let-a-be for let-a-be

> as lemmas