Definitions

1. noun

A subspace of an n-dimensional vector space that is the solution to a set of linear equations.

“In geometry, the hyperplane is used to define the boundaries of a polyhedron.”

2. noun

A subspace of a metric space that is defined by a set of inequalities.

“In machine learning, a hyperplane is used to separate classes in a classification problem.”

3. noun

A high-level concept or idea in a particular field or domain.

“The hyperplane of modern art is a complex and ever-changing field.”