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・ Contou-Carrère symbol
・ CONTOUR
・ Contour
・ Contour (camera system)
・ Contour (linguistics)
・ Contour advection
・ Contour boxplot
・ Contour canal
・ Contour crafting
・ Contour drawing
・ Contour leg pillow
・ Contour length
・ Contour line
・ Contour plowing
・ Contour rivalry
Contour set
・ Contour threads
・ Contour trenching
・ Contourite
・ Contourlet
・ Contournement Nîmes – Montpellier
・ Contours (album)
・ Contra
・ Contra (album)
・ Contra (video game series)
・ Contra (video game)
・ Contra 4
・ Contra body movement
・ Contra Celsum
・ Contra Conspiracy


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Contour set : ウィキペディア英語版
Contour set
In mathematics, contour sets generalize and formalize the everyday notions of
*everything superior to something
*everything superior or equivalent to something
*everything inferior to something
*everything inferior or equivalent to something.
== Formal definitions ==
Given a relation on pairs of elements of set X
:\succcurlyeq~\subseteq~X^2
and an element x of X
:x\in X
The upper contour set of x is the set of all y that are related to x:
:\left\
The lower contour set of x is the set of all y such that x is related to them:
:\left\
The strict upper contour set of x is the set of all y that are related to x without x being ''in this way'' related to any of them:
:\left\
The strict lower contour set of x is the set of all y such that x is related to them without any of them being ''in this way'' related to x:
:\left\
The formal expressions of the last two may be simplified if we have defined
:\succ~=~\left\
so that a is related to b but b is ''not'' related to a, in which case the strict upper contour set of x is
:\left\
and the strict lower contour set of x is
:\left\

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「Contour set」の詳細全文を読む



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