: a figure in hyperspace corresponding to a plane in ordinary space

Examples of hyperplane in a Sentence

Recent Examples on the Web
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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 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 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 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

Word History

First Known Use

1903, in the meaning defined above

Time Traveler
The first known use of hyperplane was in 1903

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Cite this Entry

“Hyperplane.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/hyperplane. Accessed 28 Jul. 2026.

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