How do you use Irreducible in a sentence? See 10+ example sentences showing how this word appears in different contexts, including synonyms like reducible, plus the exact meaning.
Irreducible in a sentence
Irreducible meaning
- Not able to be reduced or lessened.
- Not able to be brought to a simpler or reduced form.
- Unable to be factorized into polynomials of lower degree, as (x² + 1).
Synonyms of Irreducible
Using Irreducible
- The main meaning on this page is: Not able to be reduced or lessened. | Not able to be brought to a simpler or reduced form. | Unable to be factorized into polynomials of lower degree, as (x² + 1).
- Useful related words include: reducible.
- In the example corpus, irreducible often appears in combinations such as: irreducible complexity, the irreducible, an irreducible.
Context around Irreducible
- Average sentence length in these examples: 24.5 words
- Position in the sentence: 8 start, 8 middle, 4 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Irreducible
- In this selection, "irreducible" usually appears near the start of the sentence. The average example has 24.5 words, and this corpus slice is mostly made up of statements.
- Around the word, represent, unbearable, correctly, complexity, fraction and minimum stand out and add context to how "irreducible" is used.
- Recognizable usage signals include and is irreducible to divine and as an irreducible fraction is. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "irreducible" sits close to words such as abacha, abang and abetting, which helps place it inside the broader word index.
Example types with irreducible
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Therein lies the irreducible tragedy of a decades-long conflict. (10 words)
The shrinkage of bathing suits finally reached the irreducible limit. (10 words)
Lacking that ability, he seems incapable of building upon his irreducible base of support. (14 words)
It is, therefore, an irreducible minimum obligation on the part of the party to have a credible membership register that cannot be altered at the whims and caprices of any one, including the leadership of the party. (37 words)
Assuming that the matrix W is a primitive matrix ( irreducible and aperiodic ), then after very many generations only the eigenvector with the largest eigenvalue will prevail, and it is this quasispecies that will eventually dominate. (35 words)
Even if you agree with Zimmerman that games—just like painting, music, and literature—have an intrinsic value that is irreducible to some instrumental purpose, the nature of that value remains a fascinating question. (34 words)
Example sentences (20)
Accordingly, the debate on irreducible complexity concerns two questions: whether irreducible complexity can be found in nature, and what significance it would have if it did exist in nature.
Irreducible complexity may not actually exist in nature, and the examples given by Behe and others may not in fact represent irreducible complexity, but can be explained in terms of simpler precursors.
The irreducible integral octonions are exactly those of prime norm, and every integral octonion can be written as a product of irreducible octonions.
The representation obtained from an irreducible representation defined over the integers by reducing modulo the characteristic will not in general be irreducible.
Uniqueness Every rational number has a unique representation as an irreducible fraction with a positive denominator (however although both are irreducible).
Lacking that ability, he seems incapable of building upon his irreducible base of support.
In other words, morality precedes God’s will and is irreducible to divine command.
Also connected is "the irreducible minimum": the commitment by a society to ensure that every person who lives in it must have the basics for happy, fulfilled life, regardless of their status.
The night before, when Mom was in unbearable, irreducible pain due to congestive heart failure, I put my left arm around her and held her right hand.
Even if you agree with Zimmerman that games—just like painting, music, and literature—have an intrinsic value that is irreducible to some instrumental purpose, the nature of that value remains a fascinating question.
It is, therefore, an irreducible minimum obligation on the part of the party to have a credible membership register that cannot be altered at the whims and caprices of any one, including the leadership of the party.
Therein lies the irreducible tragedy of a decades-long conflict.
The shrinkage of bathing suits finally reached the irreducible limit.
Additionally, even if irreducible complexity had not been rejected, it still does not support ID as it is merely a test for evolution, not design.
A major aim of representation theory is to understand the irreducible representations of groups.
An algebraic set is called irreducible if it cannot be written as the union of two smaller algebraic sets.
Analogously, prime polynomials (more correctly, irreducible polynomials ) can be defined as non-zero polynomials which cannot be factorized into the product of two non constant polynomials.
Applications The fact that any rational number has a unique representation as an irreducible fraction is utilized in various proofs of the irrationality of the square root of 2 and of other irrational numbers.
Assuming that the matrix W is a primitive matrix ( irreducible and aperiodic ), then after very many generations only the eigenvector with the largest eigenvalue will prevail, and it is this quasispecies that will eventually dominate.
Behe uses the analogy of a mousetrap to propose irreducible complexity : he argues that if a mousetrap loses just one of its parts, it can no longer function as a mousetrap.
Common combinations with irreducible
These word pairs occur most frequently in English texts:
- irreducible complexity 19×
- the irreducible 12×
- an irreducible 12×
- of irreducible 8×
- is irreducible 5×
- irreducible representation 4×
- be irreducible 4×
- are irreducible 4×
- irreducible fraction 3×
- irreducible to 3×