凸とつ集しゅう合ごう

noun

convex set

A set in a vector space where, for any two points in the set, the line segment connecting them is also entirely contained in the set. Used in mathematics, especially in convex analysis and optimization.

• 凸とつ集しゅう合ごうの定てい義ぎを理り解かいするには、まずベクトル空くう間かんの概がい念ねんが必ひつ要ようだ。

  To understand the definition of a convex set, you first need the concept of a vector space.

• この問もん題だいでは、実じっ行こう可か能のう領りょう域いきが凸とつ集しゅう合ごうであることを示しめせ。

  In this problem, show that the feasible region is a convex set.