hyperplane Definition
a subspace of one dimension less than that of its ambient space.
Using hyperplane: Examples
Take a moment to familiarize yourself with how "hyperplane" can be used in various situations through the following examples!
Example
In a two-dimensional space, a hyperplane is a line.
Example
In a three-dimensional space, a hyperplane is a plane.
Example
A hyperplane in a four-dimensional space is a three-dimensional space.
hyperplane Synonyms and Antonyms
Synonyms for hyperplane
- affine hyperplane
- linear hyperplane
📌
Summary: hyperplane in Brief
'Hyperplane' [hahy-per-pleyn] refers to a subspace of one dimension less than that of its ambient space. It is used in mathematics and geometry to describe the properties of spaces of different dimensions. For example, in a two-dimensional space, a hyperplane is a line, while in a three-dimensional space, it is a plane.
