open half space

Noun

(mathematics) A half space that does not include the plane that bounds it

Japanese Meaning

数学において、境界となる平面（境界面）を含まない半空間

Every point in the open half space satisfies the inequality x + y + z > 0, so the plane x + y + z = 0 is excluded.

開半空間内のすべての点は不等式 x + y + z > 0 を満たすため、平面 x + y + z = 0 は含まれません。

Sense（1）

(mathematics) A half space that does not include the plane that bounds it

open half spaces

（ plural ）