Definition von hyperplane im Englisch Englisch wörterbuch
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)
An affine set of dimension (n-1): {x: a'x = b}, where a is a nonzero vector, called the normal of the hyperplane
A mathematical object which may be thought of as an extension (into higher dimensions) of a 3 dimensional plane passing through the point (0,0,0)
a translate of the null space of any linear functional; a three-dimensional space in four dimensions, or more generally an (n-1)-space in n dimensions
A mathematical object which may be thought of as an extension (into higher dimensions) of a 2-dimensional plane passing through the point (0,0,0) in a 3-dimensional vector space See Appendix A