Examples of 'hyperplane' in a sentence
Meaning of "hyperplane"
hyperplane is a mathematical term used in geometry to describe a subspace of one dimension less than its ambient space
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- An n-dimensional generalization of a plane; an affine subspace of dimension n − 1 that splits an n-dimensional space. (In a one-dimensional space, it is a point; in two-dimensional space it is a line; in three-dimensional space, it is an ordinary plane.)
How to use "hyperplane" in a sentence
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hyperplane
A hyperplane is like a plane but in higher dimensions.
So you can find a separating hyperplane that separates.
Such a hyperplane is the solution of a single linear equation.
This distance from the hyperplane is called the margin.
Computational analysis of biological data using manifold and a hyperplane.
We should decide upon a hyperplane that maximizes the margin.
Hyperplane separation theorem.
Then there exists a closed hyperplane which separates and.
In geometry a hyperplane is a subspace of one dimension less than its ambient space.
To every point on the hyperplane.
Supporting hyperplane theorem.
Every hyperplane intersects the moment curve in a finite set of at most d points.
The margin between the hyperplane and the clouds is maximal.
A hyperplane is a subspace of one dimension less than the dimension of the full space.
Its objective is to discover the hyperplane which maximizes the margin.
See also
An affine hyperplane together with the associated points at infinity forms a projective hyperplane.
It forms the basis for the simultaneous hyperplane concept in spacetime.
The optimal hyperplane is the one that maximizes the margins.
All vertices and edges of the polytope are projected onto a hyperplane of that facet.
Moduli of hyperplane arrangements.
The union over all classes of parallels constitute the points of the hyperplane at infinity.
Separating hyperplane theorem.
Any hyperplane of a Euclidean space has exactly two unit normal vectors.
Its goal is to find the hyperplane which maximizes the margin.
The hyperplane considered by Knop can be interpreted as a very singular point of the dual.
We then study the simplexes of the hyperplane arrangements arising from lattice oriented matroids.
Than that of E is called a hyperplane.
Constraints derived from hyperplane separator are admissible and can be simplified systematically.
We want the samples have some distance away from the separating hyperplane for better generalization.
And the optimal hyperplane is the one which has the biggest margin.
Select the function to calculate the form of the hyperplane that separates the two classes.
A mirror represents a hyperplane within a given dimensional spherical or Euclidean or hyperbolic space.
A convex set can have more than one supporting hyperplane at a given point on its boundary.
The hyperplane separation theorem is due to Hermann Minkowski.
In geometry, a hypersurface is a generalization of the concept of hyperplane.
It tries to find the hyperplane that can maximize the margin of two classes.
Geometrically, this amounts to including shears in a hyperplane.
The idea is to find the hyperplane that maximizes the margin between two classes.
Now, the distance from to the hyperplane is.
A hyperplane divides a space into two half-spaces.
The solution of the optimal hyperplane can be expressed as,.
An affine hyperplane is an affine subspace of codimension 1 in an affine space.
Hence, there must be a separating hyperplane.
The estimated hyperplane is determined by the b estimated so that,.
If the classes are equiprobable, the separating surface is a hyperplane.
At this time, the hyperplane is also called a switching line.
In the limit, a hypersphere approaches the zero curvature of a hyperplane.
Once this hyperplane is found, we can use it to classify new points.
Adjacent facets are not in the same five-dimensional hyperplane.
If the hb are linearly separable, a separating hyperplane may be identified resulting a neuron.
