public interface Embedding<S extends Space,T extends Space>

This interface defines mappers between a space and one of its sub-spaces.

Sub-spaces are the lower dimensions subsets of a n-dimensions space. The (n-1)-dimension sub-spaces are specific sub-spaces known as hyperplanes. This interface can be used regardless of the dimensions differences. As an example, Line in 3D implements Embedding<Vector3D, {link org.apache.commons.math3.geometry.euclidean.oned.Vector1D Vector1D>, i.e. it maps directly dimensions 3 and 1.

In the 3D euclidean space, hyperplanes are 2D planes, and the 1D sub-spaces are lines.

Note that this interface is not intended to be implemented by Apache Commons Math users, it is only intended to be implemented within the library itself. New methods may be added even for minor versions, which breaks compatibility for external implementations.