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Almost everywhere convergence : ウィキペディア英語版
Pointwise convergence
In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.
==Definition==
Suppose is a sequence of functions sharing the same domain and codomain (for the moment, defer specifying the nature of the values of these functions, but the reader may take them to be real numbers). The sequence converges pointwise to ''f'', often written as
:\lim_f_n=f\ \mbox,
if and only if
:\lim_f_n(x)=f(x).
for every ''x'' in the domain.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Pointwise convergence」の詳細全文を読む



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