单词 | parseval |
释义 | Parsevaln.1 Now historical. A type of non-rigid dirigible German airship. ΘΚΠ society > travel > air or space travel > a means of conveyance through the air > balloons and airships > [noun] > airship > types of airship aeroplane1884 non-rigid1909 Parseval1909 rigid1911 blimp1916 submarine scout1917 semi-rigid1920 1908 W. H. Story tr. A. Hildebrandt Airships viii. 85 (caption) Major Parseval's dirigible balloon [Ger. der lenbare Ballon des Major von Parseval].] 1909 Chambers's Jrnl. Oct. 660/2 At present the airship fleet consists of three Zeppelins, three Parsefals, and two Gross dirigibles. 1931 C. St. J. Sprigg Airship viii. 106 In its final form the Parseval was not much smaller than the early Zeppelins, and was of a good streamline shape. 1957 Encycl. Brit. I. 465/1 Maj. August von Parseval in 1906 constructed for the German army the first in a series of some 28 Parseval pressure type airships which were built from that date until 1929. 1971 R. Jackson Airships v. 112 On the outbreak of war, the Astra-Torres and the Parseval were immediately allocated to coastal patrol duties. This entry has been updated (OED Third Edition, June 2005; most recently modified version published online March 2022). Parsevaln.2 Mathematics. 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. This is a new entry (OED Third Edition, June 2005; most recently modified version published online March 2022). < |
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