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On this page you'll find 10+ example sentences with Subspace. Discover the meaning, how to use the word correctly in a sentence.

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Subspace in a sentence

Related words

Subspace | Subspaces

Subspace meaning

  1. A subset of a space which is a space in its own right.
  2. Any (often unspecified) method of communicating or travelling faster than light speed.
  3. An alternative dimension or universe, access to or use of which permits faster-than-light travel or communications; hyperspace.

Synonyms of Subspace

mathematical space topological space

Related words

Other words often associated with Subspace or its synonyms:

infinite space set

Using Subspace

  • The main meaning on this page is: A subset of a space which is a space in its own right. | Any (often unspecified) method of communicating or travelling faster than light speed. | An alternative dimension or universe, access to or use of which permits faster-than-light travel or communications; hyperspace.
  • Useful related words include: mathematical space, topological space.
  • In the example corpus, subspace often appears in combinations such as: subspace of, the subspace, linear subspace.

Context around Subspace

  • Average sentence length in these examples: 27.2 words
  • Position in the sentence: 8 start, 10 middle, 2 end
  • Sentence types: 20 statements, 0 questions, 0 exclamations

Often before:

linear 3× dimensional 1× episode 1× own 1×

Often after:

rhapsody 4× topology 2× cannot 1× weapon 1× emissary 1×

Sentence patterns with Subspace

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

1 this subspace in turn 1× a linear subspace of dimension 1× a linear subspace of v 1× a linear subspace that contains 1× a subspace cannot lie 1× also every subspace of a 1× as a subspace 1× as a subspace of a 1×

Sentence openings and endings

Common sentence openings:

a linear subspace 2× a banach space 1× a basis for 1× a nonempty subset 1× a space such 1× a subspace cannot 1×

Common sentence endings:

a vector hyperplane 1× a vector plane 1× a vector space 1× as a subspace 1× called hereditarily paracompact 1× critics and audiences 1×

Words around Subspace

Just before it in the word index:

subsp 3 subsort 2 subsonic 54 subsolar 3 subsoils 3 subsoiler 2

Just after it in the word index:

subspaces 28 subspecialists 3 subspecialties 7 subspecialty 14 subspecies 182 subspecific 2

Similar in corpus frequency:

accumulates 110 admiralty 110 adventurers 110 agribusiness 110 airtight 110 alluring 110

Corpus analysis for Subspace

  • In this selection, "subspace" usually appears in the middle of the sentence. The average example has 27.2 words, and this corpus slice is mostly made up of statements.
  • Around the word, linear, dimensional, episode, rhapsody, topology and cannot stand out and add context to how "subspace" is used.
  • Recognizable usage signals include 1 this subspace in turn and a linear subspace of dimension. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "subspace" sits close to words such as accumulates, admiralty and adventurers, which helps place it inside the broader word index.

Example types with subspace

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 subspace cannot lie in any subspace of lesser dimension. (10 words)

A linear subspace of dimension 2 is a vector plane. (10 words)

Also every subspace of a separable metric space is separable. (10 words)

Longer example sentences

A nonempty subset W of a vector space V that is closed under addition and scalar multiplication (and therefore contains the 0-vector of V) is called a linear subspace of V, or simply a subspace of V, when the ambient space is unambiguously a vector space. (47 words)

That is, a nonempty set W is a subspace if and only if every linear combination of ( finitely many) elements of W also belongs to W. Conditions 2 and 3 for a subspace are simply the most basic kinds of linear combinations. (42 words)

The surrounding space matters: a set A may be nowhere dense when considered as a subspace of a topological space X but not when considered as a subspace of another topological space Y. A nowhere dense set is always dense in itself. (42 words)

Example sentences (20)

However, if the unit group is endowed with the subspace topology as a subspace of R, it may not be a topological group, because inversion on R × need not be continuous with respect to the subspace topology.

A basis for a subspace S is a set of linearly independent vectors whose span is S. The number of elements in a basis is always equal to the geometric dimension of the subspace.

A nonempty subset W of a vector space V that is closed under addition and scalar multiplication (and therefore contains the 0-vector of V) is called a linear subspace of V, or simply a subspace of V, when the ambient space is unambiguously a vector space.

A subspace cannot lie in any subspace of lesser dimension.

In a topological vector space X, a subspace W need not be closed in general, but a finite-dimensional subspace is always closed.

That is, a nonempty set W is a subspace if and only if every linear combination of ( finitely many) elements of W also belongs to W. Conditions 2 and 3 for a subspace are simply the most basic kinds of linear combinations.

The frequency bands or subspaces (sub-bands) are scaled versions of a subspace at scale 1. This subspace in turn is in most situations generated by the shifts of one generating function ψ in L 2 (R), the mother wavelet.

The surrounding space matters: a set A may be nowhere dense when considered as a subspace of a topological space X but not when considered as a subspace of another topological space Y. A nowhere dense set is always dense in itself.

Advertentie

Tricobalt devices The tricobalt warhead is a subspace weapon whose high-yield detonations can tear holes in subspace.

Thanks to that, we've had joyful episodes like "Subspace Rhapsody," the super fun crossover with the animated series may even get a Western-themed episode in the future.

The penultimate episode of Season 2, "Subspace Rhapsody," sees the crew of the USS Enterprise collide with an anomaly that sends the entire federation into an alternate dimension powered by song.

Directed by Dermot Downs and written by Kathryn Lyn and Bill Wolkoff, musical episode, "Subspace Rhapsody", was a smash with critics and audiences.

The cast, songwriters, and executive producers of Star Trek: Strange New Worlds' musical recently gathered for an FYC event in Los Angeles for a Q&A and singalong screening of "Subspace Rhapsody".

The Wii U game was comparatively light on single player content (the 3DS version had its own Subspace Emissary-light in the Smash Run mode), so it’s possible Sakurai is trying to rectify that in this sequel.

A Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space.

A linear subspace of dimension 2 is a vector plane.

A linear subspace that contains all elements but one of a basis of the ambient space is a vector hyperplane.

Also every subspace of a separable metric space is separable.

As a result, any surface is non-orientable if and only if it contains a Möbius band as a subspace.

A space such that every subspace of it is a paracompact space is called hereditarily paracompact.

Advertentie

Common combinations with subspace

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "subspace" in a sentence?
An example: "However, if the unit group is endowed with the subspace topology as a subspace of R, it may not be a topological group, because inversion on R × need not be continuous with respect to the subspace topology." This page contains 10+ example sentences with the word "subspace" from authentic English texts.
What does "subspace" mean?
Subspace means: A subset of a space which is a space in its own right.
What are synonyms of "subspace"?
Common synonyms of "subspace" include: mathematical space, topological space.
How many example sentences with "subspace" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "subspace", drawn from a database of millions of English sentences.