hy·​per·​plane ˈhī-pər-ˌplān How to pronounce hyperplane (audio)
: a figure in hyperspace corresponding to a plane in ordinary space

Examples of hyperplane in a Sentence

Recent Examples on the Web The fact is that rather than an either-or result, the SVM returns a distance from the hyperplane for each brain. Neuroskeptic, Discover Magazine, 16 Aug. 2010 Crucially, the algorithm can use this trick to find the coefficients of the hyperplane, without ever actually stepping into the high-dimensional space. Quanta Magazine, 11 Oct. 2021 Many problems can be solved by drawing a single separating line or hyperplane, and therefore by networks like ours. Quanta Magazine, 3 Nov. 2017 Nightrider described a linear-programming procedure that can yield the optimal such separating hyperplane in the general case). Quanta Magazine, 3 Nov. 2017 And in 10-dimensional space, a perpendicular bisector is whatever splits 10-dimensional space in half (a nine-dimensional hyperplane). Quanta Magazine, 22 May 2019

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'hyperplane.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

First Known Use

1903, in the meaning defined above

Time Traveler
The first known use of hyperplane was in 1903

Dictionary Entries Near hyperplane

Cite this Entry

“Hyperplane.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/hyperplane. Accessed 15 Apr. 2024.

Love words? Need even more definitions?

Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!