Last Updated：2025/11/26

(mathematics) A set which contains any convex combination of any (finite) subset of its points.

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convex set

Source Word

convex set

(mathematics) A set which contains any convex combination of any (finite) subset of its points.

Japanese Meaning

数学において、任意の有限な点集合の凸結合（線形結合で、係数が0以上で和が1となるもの）を必ず含む集合

If a convex set contains two points, it also contains the line segment between them.

凸集合が2点を含むならば、それら2点を結ぶ線分全体も含みます。

Sense（1）

(mathematics) A set which contains any convex combination of any (finite) subset of its points.

convex sets

（ plural ）