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・ Weighted constraint satisfaction problem
・ Weighted context-free grammar
・ Weighted correlation network analysis
・ Weighted fair queueing
・ Weighted geometric mean
・ Weighted Majority Algorithm
・ Weighted matroid
・ Weighted median
・ Weighted Micro Function Points
・ Weighted network
・ Weighted product model
・ Weighted projective space
・ Weighted random early detection
・ Weighted round robin
・ Weighted silk
Weighted space
・ Weighted statistics
・ Weighted sterling
・ Weighted sum model
・ Weighted Voronoi diagram
・ Weighted voting
・ Weighted-average life
・ Weighted-average loan age
・ Weighted-knuckle glove
・ Weighting
・ Weighting curve
・ Weighting filter
・ Weighting pattern
・ Weightless
・ Weightless (All Time Low song)


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Weighted space : ウィキペディア英語版
Weighted space

In functional analysis, a weighted space is a space of functions under a ''weighted norm'', which is a finite norm (or semi-norm) that involves multiplication by a particular function referred to as the ''weight''.
Weights can be used to expand or reduce a space of considered functions. For example, in the space of functions from a set U\subset\mathbb to \mathbb under the norm \|\cdot\|_U defined by: \|f\|_U=\sup_, functions that have infinity as a limit point are excluded. However, the weighted norm \|f\|=\sup_\right|} is finite for many more functions, so the associated space contains more functions. Alternatively, the weighted norm \|f\|=\sup_ is finite for many fewer functions.
When the weight is of the form \tfrac, the weighted space is called ''polynomial-weighted''.
==References==

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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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