Convolution

English

A keyring is a helix containing two convolutions (360° turns).

Etymology

Borrowed from Template:Bor, past participle of Template:M, from Template:M + Template:M, with the suffix Template:M. Equivalent to Template:Suffix. The mathematical sense is a semantic calque from Template:M.

Pronunciation

• Template:Rhymes

Noun

1. A twist or fold.
2. Any of the folds on the surface of the brain.
3. The shape of something rotating; a vortex.
4. The state or condition of being convoluted.
5. Template:Lb 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.

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   • 1934, Aurel Wintner, Template:Rfdatek

     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.

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6. Template:Lb A function which maps a tuple of sequences into a sequence of tuples.
7. One 360° turn in a spring or similar helix.

Usage notes

• Template:Sense The term refers to both the result function and to the process of computing it.

Related terms

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Translations

• Bulgarian: Template:T+, Template:T
• Finnish: Template:T+, Template:T+

• Bulgarian: Template:T+
• Catalan: Template:T+
• Finnish: Template:T+
• French: Template:T+

• Bulgarian: Template:T
• Finnish: Template:T+

• Finnish: Template:T+

• Chinese:

  Mandarin: Template:T, Template:T

• Czech: Template:T
• Hungarian: Template:T+
• Icelandic: Template:T
• Italian: Template:T
• Kurdish:

  Central Kurdish: Template:T, Template:T

• Polish: Template:T+

• Finnish: Template:T+

• Scottish Gaelic: Template:T-check

See also

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References

• Template:R:Webster 1913
• Template:R:Century 1911

Further reading

• Template:Pedia
• Template:Pedia
• Convolution on Template:W
• Convolution of functions on Template:W

French

Etymology

Formed from Template:Der, with the suffix Template:M.

Pronunciation

• Template:Audio

Noun

1. convolution

Further reading

• Template:R:fr:TLFi