hyperplane
noun
hy·per·plane
ˈhī-pər-ˌplān 
: 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
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.
Dictionary Entries Near hyperplane
Cite this Entry
“Hyperplane.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/hyperplane. Accessed 16 Apr. 2024.
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