convolution

plural convolutions

1. countableuncountableA twist or fold.
2. countableuncountableAny of the folds on the surface of the brain.
3. countableuncountableThe shape of something rotating; a vortex.
4. countableuncountableThe state or condition of being convoluted.
5. countableuncountablefunctional analysismathematicsA 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.

   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.

   2 more examples

   Linear convolution is one of the most frequent computations carried out in digital signal processing (DSP).

   1997, Richard Tolimieri, Myoung An, Chao Lu, Algorithms for Discrete Fourier Transform and Convolution, 2nd edition, Springer, page 101

   In Chapter 11 we considered H-convolutions of generalized H-transforms. These convolutions are bilinear, commutative and associative operations[…].

   1994, Semen B. Yakubovich, Yurii F. Luchko, The Hypergeometric Approach to Integral Transforms and Convolutions, Springer, page 183

6. countableuncountablecomputingA function which maps a tuple of sequences into a sequence of tuples.
7. countableuncountableOne 360° turn in a spring or similar helix.