¹ Source: wiktionary.com
Definition of Hyperplanes
1. hyperplane [n] - See also: hyperplane
Lexicographical Neighbors of Hyperplanes
Literary usage of Hyperplanes
Below you will find example usage of this term as found in modern and/or classical literature:
1. Geometry of Four Dimensions by Henry Parker Manning (1914)
"PERPENDICULAR PLANES AND hyperplanes 50. Perpendicular planes and hyperplanes.
The planes perpendicular or absolutely perpendicular to planes lying in the ..."
2. Higher Geometry: An Introduction to Advanced Methods in Analytic Geometry by Frederick Shenstone Woods (1922)
"... the tangent hyperplanes to <f> at points of the intersections of <£ with one
of these are exactly the tangent hyperplanes of <f> which pass through the ..."
3. Mixture Models: Theory, Geometry, and Applications by Bruce G. Lindsay (1995)
"hyperplanes and convex sets. A useful tool for working with convex sets is the
idea of the support hyperplane. For every vector of length 1, say w, in Rd, ..."
4. Basic Concepts of Mathematics by Elias Zakon (2001)
"... as well (here “planes” are also called “hyperplanes”). Definition 1. By a
hyperplane (briefly, plane) through a given point aE ..."
5. High Dimensional Probability: Proceedings of the Fourth International Conference by Evarist Giné (2006)
"A proof of the theorem uses a fact about probabilities of proper subspaces or
hyperplanes. A related statement is Lemma 5.1 of ..."