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How do you use Bidual in a sentence? See 3 example sentences showing how this word appears in different contexts, plus the exact meaning.

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Bidual in a sentence

Bidual meaning

The dual of a dual.

Using Bidual

  • The main meaning on this page is: The dual of a dual.
  • In the example corpus, bidual often appears in combinations such as: its bidual.

Context around Bidual

  • Average sentence length in these examples: 17.3 words
  • Position in the sentence: 0 start, 2 middle, 1 end
  • Sentence types: 3 statements, 0 questions, 0 exclamations

Sentence patterns with Bidual

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

of its bidual which is 1× space the bidual x is 1× to its bidual 1×

Sentence openings and endings

Common sentence openings:

a banach space 1× being the dual 1× furthermore this space 1×

Common sentence endings:

a banach space 1× its dual space 1× to its bidual 1×

Words around Bidual

Just before it in the word index:

bidu 8 bidston 7 bidsquare 2 bids 720 bidrose 2 bidot 3

Just after it in the word index:

bidut 2 bidvest 21 bidwell 27 bidwells 3 bidwill 6 bidya 3

Similar in corpus frequency:

aabc 5 aacr 5 aacsb 5 aadar 5 aadk 5 aadvantage 5

Corpus analysis for Bidual

  • In this selection, "bidual" usually appears in the middle of the sentence. The average example has 17.3 words, and this corpus slice is mostly made up of statements.
  • Recognizable usage signals include of its bidual which is and space the bidual x is. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "bidual" sits close to words such as aabc, aacr and aacsb, which helps place it inside the broader word index.

Example types with bidual

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

Furthermore, this space J is isometrically isomorphic to its bidual. (10 words)

A Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space. (21 words)

Being the dual of a normed space, the bidual X ′′ is complete, therefore, every reflexive normed space is a Banach space. (21 words)

Longer example sentences

A Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space. (21 words)

Being the dual of a normed space, the bidual X ′′ is complete, therefore, every reflexive normed space is a Banach space. (21 words)

Furthermore, this space J is isometrically isomorphic to its bidual. (10 words)

Example sentences (3)

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

Being the dual of a normed space, the bidual X ′′ is complete, therefore, every reflexive normed space is a Banach space.

Furthermore, this space J is isometrically isomorphic to its bidual.

Common combinations with bidual

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "bidual" in a sentence?
An example: "A Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space." This page contains 3 example sentences with the word "bidual" from authentic English texts.
What does "bidual" mean?
Bidual means: The dual of a dual.
How many example sentences with "bidual" are there?
Voorbeeldzinnen.info contains 3 example sentences with "bidual", drawn from a database of millions of English sentences.