hyperplane

In this case the center of each 24-cell lies off the hyperplane.

That is, depending on which side of the hyperplane lies.

Then the 2-sphere shrinks again down to a single point as the 3-sphere leaves the hyperplane.

Such a hyperplane is the solution of a single linear equation.

A linear hyperplane is one that passes through the origin.

The dual variety of a point is the hyperplane .

The margin between the hyperplane and the clouds is maximal.

Each hyperplane contains the same honeycomb of one dimension lower.

One can prove that these lines form a subspace, either a hyperplane of the full space.

Taking a section (hyperplane) across the cost function, gives us a picture like 2.5b.

Adjacent cells are not in the same three-dimensional hyperplane.

In that case, the intersection point mentioned above lies on the hyperplane at infinity.

Proof: Due to the polar space is a hyperplane.

When two world lines u and w are related by then they share the same simultaneous hyperplane.

The union over all classes of parallels constitutes a hyperplane at infinity.

Be sure to note that the vector is the normal to the discriminant hyperplane.

In dimension 1 these coincide, as a point is a hyperplane in the line.

Any hyperplane of a Euclidean space has exactly two unit normal vectors.

Together with the weights, the threshold defines a dividing hyperplane in the instance space.

It performs a division of the space of inputs by a hyperplane.

For simplicity reasons, sometimes it is required that the hyperplane pass through the origin of the coordinate system.

In the first version of the theorem, evidently the separating hyperplane is never unique.

There are more than one hyperplane separating a closed convex set and a point lying outside of it.

Every hyperplane intersects the moment curve in a finite set of at most d points.

H may also be called the ideal hyperplane.