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hyperplanes's Usage Examples:

(called branches) representing the spatial relations between a collection of mirrors (or reflecting hyperplanes).

geometry and combinatorics, an arrangement of hyperplanes is an arrangement of a finite set A of hyperplanes in a linear, affine, or projective space S.

The theorem of Bertini states that the set of hyperplanes not containing X and with smooth intersection with X contains an open.

Specifically, it is the subgroup which is generated by reflections through the hyperplanes orthogonal to the roots, and as such is a finite reflection group.

Any n such hyperplanes will specify the point, while fewer than n hyperplanes will leave at least one degree of freedom, and thus leave the point unspecified.

Any mathematician who considers the mental plane's dimensionality equal to or more than the earthly one defines them as hyperplanes.

Indian neo-Theosophists) buddhic plane (separately, or enclosing and interpenetrating grosser hyperplanes, respectively) or world (simply) in Theosophy is.

Most space-partitioning systems use planes (or, in higher dimensions, hyperplanes) to divide space: points on one side of the plane form one region, and.

method for recursively subdividing a space into two convex sets by using hyperplanes as partitions.

The affine Coxeter group (or affine Weyl group) is then the group generated by the (affine) reflections about all the hyperplanes.

There are many hyperplanes that might classify the data.

arrangement of hyperplanes is an arrangement of a finite set A of hyperplanes in a linear, affine, or projective space S.