Definition

A flat surface that extends infinitely in a space with more than two dimensions, dividing that space into two parts.

Example

In machine learning, a hyperplane is used to separate different classes of data points.

Conversation

I was reading about different concepts in geometry yesterday.

Oh really? Did you come across anything interesting?

Yes, I learned about the idea of a hyperplane and how it divides space.

That sounds cool! I never thought about geometry in such a complex way.

Synonyms & Antonyms

Root Explanation

Hyperplane → It is formed from "hyper-" (meaning over or beyond) and "plane" (from Latin "planus", meaning flat or level). The term refers to a flat subspace that exists in a higher-dimensional space, extending beyond the usual two or three dimensions.

Memory Tip

Think of 'hyper-' meaning 'beyond' and 'plane' meaning 'flat' — together, they describe a flat surface that exists in a space beyond the usual dimensions.

Visually Confused Words