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・ Cauchy boundary condition
・ Cauchy condensation test
・ Cauchy distribution
・ Cauchy elastic material
・ Cauchy formula for repeated integration
・ Cauchy horizon
・ Cauchy index
・ Cauchy matrix
・ Cauchy momentum equation
・ Cauchy Muamba
・ Cauchy net
・ Cauchy number
・ Cauchy principal value
・ Cauchy problem
・ Cauchy process
Cauchy product
・ Cauchy sequence
・ Cauchy space
・ Cauchy stress tensor
・ Cauchy surface
・ Cauchy theorem
・ Cauchy's convergence test
・ Cauchy's equation
・ Cauchy's functional equation
・ Cauchy's inequality
・ Cauchy's integral formula
・ Cauchy's integral theorem
・ Cauchy's test
・ Cauchy's theorem (geometry)
・ Cauchy's theorem (group theory)


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Cauchy product : ウィキペディア英語版
Cauchy product
In mathematics, more specifically in mathematical analysis, the Cauchy product is the discrete convolution of two infinite series. It is named after the French mathematician Augustin Louis Cauchy.
==Definitions==

The Cauchy product may apply to infinite series〔.〕〔.〕〔.〕〔.〕〔.〕〔.〕〔.〕〔.〕〔.〕〔.〕〔.〕 or power series.〔.〕〔.〕 When people apply it to finite sequences〔.〕 or finite series, it is by abuse of language: they actually refer to discrete convolution.
Convergence issues are discussed in the next section.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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