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Explore Irreducibility through 8 example sentences from English, with an explanation of the meaning. Ideal for language learners, writers and word enthusiasts.

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Irreducibility in a sentence

Irreducibility meaning

  1. The quality or degree of being irreducible.
  2. Something that is irreducible.

Using Irreducibility

  • The main meaning on this page is: The quality or degree of being irreducible. | Something that is irreducible.
  • In the example corpus, irreducibility often appears in combinations such as: irreducibility and.

Context around Irreducibility

  • Average sentence length in these examples: 17.9 words
  • Position in the sentence: 2 start, 2 middle, 4 end
  • Sentence types: 8 statements, 0 questions, 0 exclamations

Often before:

ontological 1× determine 1× defines 1× polynomial 1× test 1×

Often after:

criteria 1× condition 1×

Sentence patterns with Irreducibility

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

arguments for irreducibility often assume 1× neumann s irreducibility condition was 1× or ontological irreducibility to the 1× similarly defines irreducibility 1× testing polynomial irreducibility and factoring 1× to determine irreducibility 1× to test irreducibility and to 1× types of irreducibility criteria bull 1×

Sentence openings and endings

Common sentence openings:

almost all accounts 1× arguments for irreducibility 1× eisenstein s criterion 1× g m hopper 1× the formula ψ 1× there are efficient 1×

Common sentence endings:

factorization of polynomials 1× irreducibility criteria bull 1× neumann s article 1× over finite field 1× see them now 1× similarly defines irreducibility 1×

Words around Irreducibility

Just before it in the word index:

irredentist 11 irredentism 7 irredeemably 16 irredeemable 30 irrecoverably 2 irrecoverable 9

Just after it in the word index:

irreducible 82 irreducibly 13 irreflexive 2 irrefutable 59 irrefutably 8 irregardless 2

Similar in corpus frequency:

aargau 11 abacos 11 abboud 11 abbreviate 11 abdelkader 11 abdomens 11

Corpus analysis for Irreducibility

  • In this selection, "irreducibility" usually appears near the end of the sentence. The average example has 17.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, ontological, determine, defines, criteria and condition stand out and add context to how "irreducibility" is used.
  • Recognizable usage signals include arguments for irreducibility often assume and neumann s irreducibility condition was. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "irreducibility" sits close to words such as aargau, abacos and abboud, which helps place it inside the broader word index.

Example types with irreducibility

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

The formula ψ similarly defines irreducibility. (6 words)

G. M. Hopper and O. Ore, "New types of irreducibility criteria," Bull. (12 words)

Eisenstein's criterion can also be used in some cases to determine irreducibility. (13 words)

Longer example sentences

Von Neumann's irreducibility condition was called the "whales and wranglers " hypothesis by David Champernowne, who provided a verbal and economic commentary on the English translation of von Neumann's article. (31 words)

When the coefficients belong to integers, rational numbers or a finite field, there are algorithms to test irreducibility and to compute the factorization into irreducible polynomials (see Factorization of polynomials ). (30 words)

Arguments for irreducibility often assume that things started out the same way they ended up as we see them now. (20 words)

Example sentences (8)

Almost all accounts of emergentism include a form of epistemic or ontological irreducibility to the lower levels.

Arguments for irreducibility often assume that things started out the same way they ended up as we see them now.

Eisenstein's criterion can also be used in some cases to determine irreducibility.

G. M. Hopper and O. Ore, "New types of irreducibility criteria," Bull.

The formula ψ similarly defines irreducibility.

There are efficient algorithms for testing polynomial irreducibility and factoring polynomials over finite field.

Von Neumann's irreducibility condition was called the "whales and wranglers " hypothesis by David Champernowne, who provided a verbal and economic commentary on the English translation of von Neumann's article.

When the coefficients belong to integers, rational numbers or a finite field, there are algorithms to test irreducibility and to compute the factorization into irreducible polynomials (see Factorization of polynomials ).

Common combinations with irreducibility

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "irreducibility" in a sentence?
An example: "Almost all accounts of emergentism include a form of epistemic or ontological irreducibility to the lower levels." This page contains 8 example sentences with the word "irreducibility" from authentic English texts.
What does "irreducibility" mean?
Irreducibility means: The quality or degree of being irreducible.
How many example sentences with "irreducibility" are there?
Voorbeeldzinnen.info contains 8 example sentences with "irreducibility", drawn from a database of millions of English sentences.