# hypercube

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## hy·per·cube

(hī′pər-kyo͞ob′)
n.
1. Any of a set of objects resulting from the generalization of a two-dimensional square and a three-dimensional cube to n dimensions. A hypercube has 2n corners, each of which is connected to its n nearest adjacent corners by edges that all have the same length.
2. A network whose nodes have the connectivity of such an object.

## hypercube

(ˈhaɪpəˌkjuːb)
n
(Mathematics) maths a figure in a space of four or more dimensions having all its sides equal and all its angles right angles
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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in [2], Choi constructs a bijection between the set of Davis-Januszkiewicz equivalence classes of small covers over an n-cube and the set of acyclic digraphs with n-labeled nodes.
The k-ary n-cube has many desirable properties, such as ease of implementation of algorithms and ability to reduce message latency by exploiting communication locality found in many parallel applications [8-10].
The n-cube or n-dimensional hypercube [Q.sub.n] is recursively defined in terms of the Cartesian products.
[38], since the solid is a standard orthogonal simplex from the corner of an n-cube. Similarly, if k [member of] (1, 2, ..., m}, then the hypervolume of [[intersection].sup.k.sub.j=1] [B.sub.j](t) is
By [BCN89, Theorem 9.2.7], it follows that [GAMMA]/[PI] is either a folded n-cube for n [greater than or equal to] 7 or has intersection array {6,5,4; 1, 2,6}.
Topics include dark matter spiral galaxies and axioms of general relativity, embedded 3D CR manifolds and non-negativity of Paneitz operators, Aubry sets, Hamilton-Jacobi equations and Mane conjectures, minimum surfaces as eigenvalue problems, the maximal measure of sections of the n-cube, extremities of stability for pendant drops, the Radon-Helgason inversion method in integral geometry, inequalities for the ADM-mass, and capacity of asymptotically flat manifolds with minimal boundary and bounded extrinsic curvature of subsets of metric spaces.
The n-cube or n-dimensional hypercube [Q.sub.n] is defined recursively by [Q.sub.1] = [K.sub.2] and [Q.sub.n] = [K.sub.2] x [Q.sub.n - 1].
The 12-year dispute began in 2001 when n-Cube Corp.
A k-ary n-cube is defined as an interconnection structure of n dimensions having k nodes in each dimension.
Additional Key Words and Phrases: Adaptive routing, circuit switched, hypercube, interconnection networks, k-ary n-cube, parallel processing, routing algorithms
For example, Oracle is assuming a less intelligent set-top box, and designing a video server using an n-Cube multiprocessor system.

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