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

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Birkhoff in a sentence

Using Birkhoff

  • In the example corpus, birkhoff often appears in combinations such as: garrett birkhoff, the birkhoff, birkhoff kakutani.

Context around Birkhoff

  • Average sentence length in these examples: 20.7 words
  • Position in the sentence: 5 start, 4 middle, 1 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often before:

garrett 5× george 1×

Often after:

kakutani 2× writes 1×

Sentence patterns with Birkhoff

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

when garrett birkhoff and øystein 2× 1935 g birkhoff a new 1× by garrett birkhoff in 1935 1× by george birkhoff to work 1× by the birkhoff kakutani theorem 1× garrett birkhoff writes john 1× george d birkhoff s 1927 1× menger and birkhoff had axiomatized 1×

Sentence openings and endings

Common sentence openings:

boolean algebra came 1× by the birkhoff 1× earlier menger and 1× filters were introduced 1× further work on 1× garrett birkhoff writes 1×

Common sentence endings:

on universal algebras 2× 1940 lattice theory 1× is translation invariant 1× lattice theoretic principles 1× of limit bull 1× of linear subspaces 1×

Words around Birkhoff

Just before it in the word index:

birkhead 3 birkhall 9 birkett 15 birket 2 birkenstocks 11 birkenstock 26

Just after it in the word index:

birkie 2 birkin 41 birkins 3 birkir 4 birkirkara 23 birkland 2

Similar in corpus frequency:

aab 13 aamer 13 aave 13 abdelmadjid 13 abdulkarim 13 abdulsalami 13

Corpus analysis for Birkhoff

  • In this selection, "birkhoff" usually appears near the start of the sentence. The average example has 20.7 words, and this corpus slice is mostly made up of statements.
  • Around the word, garrett, george, kakutani and writes stand out and add context to how "birkhoff" is used.
  • Recognizable usage signals include when garrett birkhoff and øystein and 1935 g birkhoff a new. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "birkhoff" sits close to words such as aab, aamer and aave, which helps place it inside the broader word index.

Example types with birkhoff

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

George D. Birkhoff's 1927 book already takes a modern approach to dynamical systems. (14 words)

Filters were introduced by Garrett Birkhoff in 1935 G. Birkhoff, "A new definition of limit", Bull. (16 words)

By the Birkhoff–Kakutani theorem, it follows that there is an equivalent metric that is translation-invariant. (17 words)

Longer example sentences

Garrett Birkhoff writes: "John von Neumann's brilliant mind blazed over lattice theory like a meteor". citation Von Neumann founded the field of continuous geometry based on lattice theoretic principles. (30 words)

Boolean algebra came of age as serious mathematics with the work of Marshall Stone in the 1930s, and with Garrett Birkhoff 's 1940 Lattice Theory. (25 words)

The Birkhoff – Kakutani theorem gives that the following three conditions on a topological vector space V are equivalent: Kŏthe (1983), section 15.11. (23 words)

Example sentences (10)

Filters were introduced by Garrett Birkhoff in 1935 G. Birkhoff, "A new definition of limit", Bull.

Boolean algebra came of age as serious mathematics with the work of Marshall Stone in the 1930s, and with Garrett Birkhoff 's 1940 Lattice Theory.

By the Birkhoff–Kakutani theorem, it follows that there is an equivalent metric that is translation-invariant.

Earlier, Menger and Birkhoff had axiomatized complex projective geometry in terms of the properties of its lattice of linear subspaces.

Further work on the subject was minimal until the early 1930s, when Garrett Birkhoff and Øystein Ore began publishing on universal algebras.

Garrett Birkhoff writes: "John von Neumann's brilliant mind blazed over lattice theory like a meteor". citation Von Neumann founded the field of continuous geometry based on lattice theoretic principles.

George D. Birkhoff's 1927 book already takes a modern approach to dynamical systems.

The Birkhoff – Kakutani theorem gives that the following three conditions on a topological vector space V are equivalent: Kŏthe (1983), section 15.11.

While he was directed by George Birkhoff to work on differential equations, his interests continued to shift to logic.

Work on the subject was minimal until the early 1930s, when Garrett Birkhoff and Øystein Ore began publishing on universal algebras.

Common combinations with birkhoff

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "birkhoff" in a sentence?
An example: "Filters were introduced by Garrett Birkhoff in 1935 G. Birkhoff, "A new definition of limit", Bull." This page contains 10+ example sentences with the word "birkhoff" from authentic English texts.
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Voorbeeldzinnen.info contains at least 10+ example sentences with "birkhoff", drawn from a database of millions of English sentences.