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Wondering how to use Hypercube in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning .

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Hypercube in a sentence

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Hypercube | Hypercubes

Hypercube meaning

  1. 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.
  2. Such a figure in four dimensions; a tesseract.
  3. A data cube with more than three dimensions.

Using Hypercube

  • The main meaning on this page is: 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. | Such a figure in four dimensions; a tesseract. | A data cube with more than three dimensions.
  • In the example corpus, hypercube often appears in combinations such as: hypercube is, hypercube or, the hypercube.

Context around Hypercube

  • Average sentence length in these examples: 23.8 words
  • Position in the sentence: 4 start, 8 middle, 5 end
  • Sentence types: 17 statements, 0 questions, 0 exclamations

Often before:

unit 1× parent 1× dimensional 1× larger 1×

Often after:

rotating 1× represent 1× follows 1×

Sentence patterns with Hypercube

These short patterns come directly from the example sentences and show how the word is often embedded:

a larger hypercube with dimension 1× a unit hypercube is a 1× as a hypercube or a 1× be a hypercube in the 1× displayed a hypercube rotating in 1× is a hypercube whose side 1× m dimensional hypercube 1× of a hypercube can be 1×

Sentence openings and endings

Common sentence openings:

a distance between 1× a side is 1× a unit hypercube 1× by 1975 he 1× general considerations a 1× however fans aren 1×

Common sentence endings:

an n orthotope 1× dimension m n 1× episode orphan 55 1× four dimensional space 1× inequalities above by 1× length one unit 1×

Words around Hypercube

Just before it in the word index:

hypercritical 3 hypercorrection 2 hyperconverged 7 hyperconnectivity 2 hyperconnected 2 hypercomplex 10

Just after it in the word index:

hypercubes 2 hypercubic 2 hyperdao 2 hyperdrive 24 hypereides 2 hyperemesis 9

Similar in corpus frequency:

abad 22 abolishment 22 abr 22 abyad 22 accompanist 22 achmea 22

Corpus analysis for Hypercube

  • In this selection, "hypercube" usually appears in the middle of the sentence. The average example has 23.8 words, and this corpus slice is mostly made up of statements.
  • Around the word, unit, parent, dimensional, rotating, represent and follows stand out and add context to how "hypercube" is used.
  • Recognizable usage signals include a larger hypercube with dimension and a unit hypercube is a. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "hypercube" sits close to words such as abad, abolishment and abr, which helps place it inside the broader word index.

Example types with hypercube

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

A unit hypercube is a hypercube whose side has length one unit. (12 words)

A side is any element of (n-1) dimension of the parent hypercube. (13 words)

The 2 m+n corners of this hypercube represent all possible received messages. (13 words)

Longer example sentences

The following assertions hold: If P is the unit n-hypercube, then the union of the n-simplexes formed by the convex hull of each n-path is P, and these simplexes are congruent and pairwise non-overlapping. (38 words)

A distance between two rules can be defined by the number of steps required to move from one vertex, which represents the first rule, and another vertex, representing another rule, along the edge of the hypercube. (36 words)

However, they are special cases of a more general definition that is valid for any kind of n-dimensional convex or non-convex object, such as a hypercube or a set of scattered points. (34 words)

Example sentences (17)

A unit hypercube is a hypercube whose side has length one unit.

More properly, a hypercube (or n-dimensional cube or simply n-cube) is the analogue of the cube in n-dimensional Euclidean space and a tesseract is the order-4 hypercube.

By 1975, he created several animations with colleague Charles Strauss that displayed a hypercube rotating in four-dimensional space.

However, fans aren’t convinced after Graham O’Brien (Bradley Walsh) was spotted holding what appears to be a hypercube in the preview for the next episode, Orphan 55.

A distance between two rules can be defined by the number of steps required to move from one vertex, which represents the first rule, and another vertex, representing another rule, along the edge of the hypercube.

A side is any element of (n-1) dimension of the parent hypercube.

General considerations A message that is m bits long can be viewed as a corner of the m-dimensional hypercube.

However, they are special cases of a more general definition that is valid for any kind of n-dimensional convex or non-convex object, such as a hypercube or a set of scattered points.

Advertentie

Projections to 2 dimensions The construction of a hypercube can be imagined the following way: * 1-dimensional: Two points A and B can be connected to a line, giving a new line segment AB.

The 2 m+n corners of this hypercube represent all possible received messages.

The effect of a checksum algorithm that yields an n-bit checksum is to map each m-bit message to a corner of a larger hypercube, with dimension m+n.

The fact that the union of the simplexes is the whole unit n-hypercube follows as well, replacing the strict inequalities above by " ".

The following assertions hold: If P is the unit n-hypercube, then the union of the n-simplexes formed by the convex hull of each n-path is P, and these simplexes are congruent and pairwise non-overlapping.

The hypercube is the special case of a hyperrectangle (also called an n-orthotope).

The most familiar 4-polytope is the tesseract or hypercube, the 4D analogue of the cube.

The number of vertices (points) of a hypercube is (a cube has vertices, for instance).

This can be seen by orienting the n-hypercube so that two opposite vertices lie vertically, corresponding to the (n-1)-simplex itself and the null polytope, respectively.

Advertentie

Common combinations with hypercube

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "hypercube" in a sentence?
An example: "A unit hypercube is a hypercube whose side has length one unit." This page contains 10+ example sentences with the word "hypercube" from authentic English texts.
What does "hypercube" mean?
Hypercube means: 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.
How many example sentences with "hypercube" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "hypercube", drawn from a database of millions of English sentences.