noun
hyperplane
A subspace of one dimension less than its ambient space, used in geometry and linear algebra.
超平面は、高次元空間を二つの半空間に分割する。
A hyperplane divides a high-dimensional space into two half-spaces.
平面 is a 2-dimensional plane, while 超平面 generalizes the concept to any dimension.
Compound of 超 (chō, 'super-, hyper-') and 平面 (heimen, 'plane'), a direct translation of the English mathematical term 'hyperplane'.