hypercube

H h

Transcription

- US Pronunciation
- US IPA
- UK Pronunciation
- UK IPA
- \ˈhī-pər-ˌkyüb\
- /hˈaɪpəkjˌuːb/

- US Pronunciation
- US IPA
- \ˈhī-pər-ˌkyüb\

Definitions of hypercube word

noun hypercube A geometric figure in four or more dimensions that is analogous to a cube in three dimensions. 1
noun Definition of hypercube in Technology A cube of more than three dimensions. A single (2^0 = 1) point (or "node") can be considered as a zero dimensional cube, two (2^1) nodes joined by a line (or "edge") are a one dimensional cube, four (2^2) nodes arranged in a square are a two dimensional cube and eight (2^3) nodes are an ordinary three dimensional cube. Continuing this geometric progression, the first hypercube has 2^4 = 16 nodes and is a four dimensional shape (a "four-cube") and an N dimensional cube has 2^N nodes (an "N-cube"). To make an N+1 dimensional cube, take two N dimensional cubes and join each node on one cube to the corresponding node on the other. A four-cube can be visualised as a three-cube with a smaller three-cube centred inside it with edges radiating diagonally out (in the fourth dimension) from each node on the inner cube to the corresponding node on the outer cube. Each node in an N dimensional cube is directly connected to N other nodes. We can identify each node by a set of N Cartesian coordinates where each coordinate is either zero or one. Two node will be directly connected if they differ in only one coordinate. The simple, regular geometrical structure and the close relationship between the coordinate system and binary numbers make the hypercube an appropriate topology for a parallel computer interconnection network. The fact that the number of directly connected, "nearest neighbour", nodes increases with the total size of the network is also highly desirable for a parallel computer. 1
noun hypercube a figure in a space of four or more dimensions having all its sides equal and all its angles right angles 0
noun hypercube (geometry) A geometric figure in four or more dimensions, which is analogous to a cube in three dimensions. Specifically, the n-dimensional equivalent of a cube for any non-negative integer n. 0
noun hypercube (geometry) Such a figure in four dimensions; a tesseract. 0
noun hypercube (computing) A computer architecture in which each processor is connected to n others based on analogy to a hypercube of n dimensions. 0

See all 6 definitions of hypercube

Information block about the term

Parts of speech for Hypercube

noun

adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

Full grammatical hierarchy of Hypercube

hypercube popularity

This term is known only to a narrow circle of people with rare knowledge. Only 7% of English native speakers know the meaning of this word.

This word is included in each student's vocabulary. Most likely there is at least one movie with this word in the title.

hypercube usage trend in Literature

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