adj
Meaning 1
Not able to be reduced or lessened.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: unincreasable
Standard Lemma guide
irreducible
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
Sound
Pronunciation
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/ˌɪɹɪˈdjuːsɪbəl/
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US: Recorded audio is listed in the source snapshot.
adj
Meaning 2
Not able to be brought to a simpler or reduced form.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 3
Unable to be factorized into polynomials of lower degree, as (x2 + 1).
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 4
Whose numerator and denominator share no common factor greater than 1.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, number-theory, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 5
Unable to be factored into smaller integers; prime.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, number-theory, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 6
Whose only divisors are units and associates.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: algebra, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 7
Inexpressible as the union of two proper algebraic subvarieties.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: algebraic-geometry, geometry, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 8
Not containing a sphere of codimension 1 that is not the boundary of a ball.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: mathematics, sciences, topology
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adj
Meaning 9
Impossible to divide further into representations of lower dimension by means of any similarity transformation.
Definition source: English Wiktionary via Wiktextract
Usage: not-comparable
Topics: group-theory, mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
noun
Meaning 10
Such a polynomial
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences
No example sentence was provided for this meaning.
Meaning relationships
Synonyms: none provided
Antonyms: none provided
adjective
Meaning 11
incapable of being made smaller or simpler
Definition source: Princeton WordNet 3.0
Examples
- an irreducible minimum
- an irreducible formula
- an irreducible hernia
Meaning relationships
Synonyms: none provided
Antonyms: reducible
History
Etymology
Etymology tree Proto-Indo-European *né Proto-Indo-European *n̥- Proto-Italic *n̥- Latin in-bor. Middle English in- English ir- English reduce Proto-Indo-European *-tḗr Proto-Indo-European *-dhlom Proto-Indo-European *-dhlis Proto-Italic *-ðlis Latin -bilis Latin -ibilis Old French -ibleder. Middle English -ible English -ible English reducible English irreducible From ir- + reducible.
Across languages
Translations
24 source translations are retained for this English entry.
- Bulgarian: неподлежащ на намаление (nepodležašt na namalenie) — not able to be reduced or lessened
- Catalan: irreductible — not able to be reduced or lessened
- Dutch: onherleidbaar — not able to be reduced or lessened
- Finnish: vähenemätön — not able to be reduced or lessened
- French: irréductible — not able to be reduced or lessened
- Irish: dochloíte — not able to be reduced or lessened
- Irish: dosháraithe — not able to be reduced or lessened
- Italian: irriducibile — not able to be reduced or lessened
- Japanese: 減らせない (herasenai) — not able to be reduced or lessened
- Macedonian: несведлив (nesvedliv) — not able to be reduced or lessened
- Polish: nieredukowalny — not able to be reduced or lessened
- Portuguese: irredutível — not able to be reduced or lessened
- Spanish: irreductible — not able to be reduced or lessened
- Bulgarian: несъкратим (nesǎkratim) — (mathematics, of an integer) unable to be factored into smaller integers
- Dutch: onherleidbaar — (mathematics, of an integer) unable to be factored into smaller integers
- Esperanto: nereduktebla — (mathematics, of an integer) unable to be factored into smaller integers
- Finnish: jaoton — (mathematics, of an integer) unable to be factored into smaller integers
- French: irréductible — (mathematics, of an integer) unable to be factored into smaller integers
- Japanese: 既約の (kiyaku no) — (mathematics, of an integer) unable to be factored into smaller integers
- Kazakh: келтірілмейтін (keltırılmeitın) — (mathematics, of an integer) unable to be factored into smaller integers
- Macedonian: нескратлив (neskratliv) — (mathematics, of an integer) unable to be factored into smaller integers
- Polish: nieredukowalny — (mathematics, of an integer) unable to be factored into smaller integers
- Russian: неприводимый (neprivodimyj) — (mathematics, of an integer) unable to be factored into smaller integers
- Spanish: irreducible — (mathematics, of an integer) unable to be factored into smaller integers