n. An n-dimensional generalization of a plane; an affine subspace of dimension n-1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; In two-dimensional space it is a line; In three-dimensional space, it is an ordinary plane)
The Century Dictionary and Cyclopedia
n. An (n—1)-dimensional plane, defined in n-dimensional space by a homogeneous linear equation between its homogeneous coördinates.
Word Usage
"Alternatively, you could use discriminant analysis: find the hyperplane in role playing, sexual orientation, minority group space that best separates those with mental health problems from those without."