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Every non-leaf node can be thought of as implicitly generating a splitting hyperplane that divides the space into two parts, known as half-spaces. en.wikipedia.org

Each hyperplane contains the same honeycomb of one dimension lower. en.wikipedia.org

One reasonable choice as the best hyperplane is the one that represents the largest separation, or margin, between the two classes. en.wikipedia.org

This is a reflection in the hyperplane perpendicular to v (negating any vector component parallel to v). en.wikipedia.org

In the projective space, each projective subspace of dimension "k" intersects the ideal hyperplane in a projective subspace at infinity whose dimension is. en.wikipedia.org

Typically, however, unqualified use of the term reflection means reflection in a hyperplane. en.wikipedia.org

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