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hyperplane

hyperplane
Noun
pl: hyperplanes

This term is primarily used in the fields of linear algebra, geometry, and machine learning. It describes a flat subspace that partitions a higher-dimensional space into two half-spaces. While a plane is a 2D object in 3D space, a hyperplane is the general version of this concept for any number of dimensions n, always having n-1 dimensions.

In the context of data science and support vector machines (SVMs), the hyperplane serves as the optimal decision boundary that separates different classes of data points. It is a technical term and is rarely used outside of mathematical or computational contexts.

Meanings

Nounhyperplane

A subspace of one dimension less than that of its ambient space, acting as a generalization of a plane in higher-dimensional geometry.

The decision boundary in a support vector machine is represented as a hyperplane.

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Last Updated: May 2026Report an Error