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unit function : ウィキペディア英語版
unit function
In number theory, the unit function is a completely multiplicative function on the positive integers defined as:
:\varepsilon(n) = \begin 1, & \mboxn=1 \\ 0, & \mboxn \neq 1 \end
It is called the unit function because it is the identity element for Dirichlet convolution.〔.〕
It may be described as the "indicator function of 1" within the set of positive integers. It is also written as ''u''(''n'') (not to be confused with ''μ''(''n'')).
==See also==

* Möbius inversion formula
* Heaviside step function
* Kronecker delta

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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