hyperplane


Also found in: Encyclopedia, Wikipedia.

hyperplane

(ˈhaɪpəˌpleɪn)
n
(Mathematics) maths a higher dimensional analogue of a plane in three dimensions. It can be represented by one linear equation
Translations
nadrovina
References in periodicals archive ?
The rows of A correspond to (random) hyperplanes, and thus [Q.sub.i,j] simply captures on which side of the ith hyperplane the ith data point lies.
The current paper examines the first problem and uses a hypersphere instead of a hyperplane to overcome it.
The start-up has raised USD 1.7 million in seed funding led by Hyperplane Venture Capital and prominent angels last year.
First, We aim to explore the role of convexity in concentration inequalities, Focusing on three central conjectures regarding the distribution of mass on high dimensional convex bodies: The kannan-lov~asz-simonovits (kls) conjecture, The variance conjecture and the hyperplane conjecture as well as emerging connections with quantitative central limit theorems, Entropic jumps and stability bounds for the brunn-minkowski inequality.
In layman's terms, it involves finding the hyperplane (line in 2D, plane in 3D and hyperplane in higher dimensions.
The financing was led by Hyperplane Venture Capital and also included Clocktower Ventures.
We define the residue along the hyperplane given by the equation [s.sub.2] = -2l + i[pi](l + 2n)/log [alpha] to be the restriction to the hyperplane of the meromorphic function ([s.sub.2] + 2l - i[pi](l + 2n)/log [alpha])[[zeta].sub.F]([s.sub.1], [s.sub.2]).
littlebirds., Honey & the 45s, Leonum, Element, Hyperplane: 7 p.m.
Then the optimal compensation hyperplane is obtained.
The basic principle of SVM is to establish an optimal classification hyperplane that can not only separate samples without errors, but also maximize the classification interval [50].
It is calculated by observing the evaluated data sample distance hyperplane of the model decision function.