extreme point

名詞

(mathematics) A point in a convex set which does not lie in any open line segment joining two points in the set. / (mathematics) The maximum or minimum of a function.

日本語の意味

凸集合において、2つの異なる点を結ぶ線分の内部に存在しない点（極点） / 関数の最大値または最小値を示す点

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Google翻訳 / DeepL翻訳

凸集合において、2点を結ぶ開線分のどの内部にも含まれない点は、凸多角形の場合、その多角形の他の点の加重平均として表せない頂点に対応する。

詳細

意味（1）

Google翻訳 / DeepL翻訳

詳細

意味（2）

(mathematics) The maximum or minimum of a function.

At first glance, degeneracy, a concept based on properties of extreme point solutions, does not seem to be as serious a problem for IPMs as it is for simplex methods.

Google翻訳 / DeepL翻訳

詳細

意味（3）

(mathematics) A leaf vertex of a tree data structure.

Since the extreme points are sorted in an ascending order, and it is known that there is no more event other than the event at the current leftmost extreme point, and therefore we traverse from the root of the tree to the bottom while we re-evaluating the new interval values of each node and testing the inclusion of the extreme point in the interval.

Google翻訳 / DeepL翻訳

詳細

意味（4）

A point that is physically located farthest in the direction of the edge of something.

This is not the case, however, because it is protected from the summer monsoon in the southwest by the Island of Sumatra, and from the winter monsoon in the northeast by the overhang of the peninsula of Cà Mau, the extreme point of the Indochinese Peninsula, a set of circumstances whose effect on alluvial deposits along the coasts has already been mentioned.

Google翻訳 / DeepL翻訳