convolution

名词 n.
中文释义

英文释义

名词 n.
  1. A twist or fold. countable,uncountable
  2. Any of the folds on the surface of the brain. countable,uncountable
  3. The shape of something rotating; a vortex. countable,uncountable
  4. The state or condition of being convoluted. countable,uncountable
  5. A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis. countable,uncountable
    — 1934, Aurel Wintner, The proper method in dealing with distribution functions and their convolutions (“Faltungen”) is the method of Fourier transforms, first applied systematically by Levy in his book on the calculus of probability.
  6. A function which maps a tuple of sequences into a sequence of tuples. countable,uncountable
  7. One 360° turn in a spring or similar helix. countable,uncountable

词形变化

convolutions plural

词汇关系

衍生词
autoconvolution convolutional convolutionless convolution theorem convolution transform deconvolution reconvolution Titchmarsh convolution theorem
相关词
convolve convolute convoluted autocorrelation cross-correlation

词源

Etymology tree
Proto-Indo-European *ḱe?
Proto-Indo-European *ḱóm
Proto-Italic *kom
Proto-Italic *kom-
Latin con-
Proto-Indo-European *welH-der.
Proto-Italic *wolwō
Latin volvō
Latin convolvō
Latin convolūtusbor.
English -tion
English convolution
Borrowed from Latin convolutus (“to roll together”), past participle of convolvere, from con- + volvere (“to roll”), with the suffix -tion. Equivalent to convolute + -ion. The mathematical sense is a semantic calque from Faltung.
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