See irreducible in All languages combined, or Wiktionary
Download JSON data for irreducible meaning in English (11.7kB)
{
"antonyms": [
{
"word": "reducible"
}
],
"derived": [
{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irreducibility"
},
{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irreducible complexity"
},
{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irreducibleness"
},
{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irreducibly"
},
{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irrep"
}
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],
"etymology_text": "ir- + reducible",
"forms": [
{
"form": "more irreducible",
"tags": [
"comparative"
]
},
{
"form": "most irreducible",
"tags": [
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"pos": "adj",
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{
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{
"word": "unincreasable"
}
],
"categories": [],
"examples": [
{
"ref": "1948 January and February, Cecil J. Allen, “British Locomotive Practice and Performance”, in Railway Magazine, page 48",
"text": "With each reduction in the number of railways, there must come, eventually, a decline in interest, if only through reduction in variety; and when it comes to one nationalised railway only we have reached the irreducible minimum.",
"type": "quotation"
}
],
"glosses": [
"Not able to be reduced or lessened."
],
"id": "en-irreducible-en-adj-kzZ3yGpR",
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"lessen",
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"translations": [
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "bg",
"lang": "Bulgarian",
"roman": "nepodležašt na namalenie",
"sense": "not able to be reduced or lessened",
"word": "неподлежащ на намаление"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "ca",
"lang": "Catalan",
"sense": "not able to be reduced or lessened",
"word": "irreductible"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "nl",
"lang": "Dutch",
"sense": "not able to be reduced or lessened",
"word": "onherleidbaar"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "fi",
"lang": "Finnish",
"sense": "not able to be reduced or lessened",
"word": "vähenemätön"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "fr",
"lang": "French",
"sense": "not able to be reduced or lessened",
"word": "irréductible"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "ga",
"lang": "Irish",
"sense": "not able to be reduced or lessened",
"word": "dochloíte"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "ga",
"lang": "Irish",
"sense": "not able to be reduced or lessened",
"word": "dosháraithe"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "ja",
"lang": "Japanese",
"roman": "herasenai",
"sense": "not able to be reduced or lessened",
"word": "減らせない"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "mk",
"lang": "Macedonian",
"roman": "nesvedliv",
"sense": "not able to be reduced or lessened",
"word": "несведлив"
},
{
"_dis1": "67 20 2 1 2 1 1 7 1",
"code": "pl",
"lang": "Polish",
"sense": "not able to be reduced or lessened",
"word": "nieredukowalny"
}
]
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"Not able to be brought to a simpler or reduced form."
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"Unable to be factorized into polynomials of lower degree, as (x² + 1)."
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"id": "en-irreducible-en-adj-We2oLTvZ",
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"raw_glosses": [
"(mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1)."
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"raw_tags": [
"of a polynomial"
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{
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"glosses": [
"Whose numerator and denominator share no common factor greater than 1."
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"numerator",
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"denominator",
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"raw_glosses": [
"(number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1."
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"raw_tags": [
"of a fraction"
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"glosses": [
"Unable to be factored into smaller integers; prime."
],
"id": "en-irreducible-en-adj-UTdcjSo0",
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[
"number theory",
"number theory"
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"factor",
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"raw_glosses": [
"(number theory, of an integer) Unable to be factored into smaller integers; prime."
],
"raw_tags": [
"of an integer"
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"translations": [
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "bg",
"lang": "Bulgarian",
"roman": "nesǎkratim",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "несъкратим"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "nl",
"lang": "Dutch",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "onherleidbaar"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "eo",
"lang": "Esperanto",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "nereduktebla"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "jaoton"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "fr",
"lang": "French",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "irréductible"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "ja",
"lang": "Japanese",
"roman": "kiyaku no",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "既約の"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "mk",
"lang": "Macedonian",
"roman": "neskratliv",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "нескратлив"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "pl",
"lang": "Polish",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "nieredukowalny"
},
{
"_dis1": "4 5 17 7 39 5 7 5 10",
"code": "es",
"lang": "Spanish",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "irreducible"
}
]
},
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"Whose only divisors are units and associates."
],
"id": "en-irreducible-en-adj-tfhnLEeG",
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"raw_tags": [
"of an element of a ring"
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"Inexpressible as the union of two proper algebraic subvarieties."
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"id": "en-irreducible-en-adj-BFG0Simn",
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"raw_glosses": [
"(algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties."
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"raw_tags": [
"of an algebraic variety"
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"glosses": [
"Not containing a sphere of codimension 1 that is not the boundary of a ball."
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"id": "en-irreducible-en-adj-y6pUeHFq",
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"raw_glosses": [
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"_dis": "7 15 7 14 7 7 18 8 13 4",
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],
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"Impossible to divide further into representations of lower dimension by means of any similarity transformation."
],
"id": "en-irreducible-en-adj-zoJRjyfT",
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"group theory",
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"(group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation."
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"raw_tags": [
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"topics": [
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],
"sounds": [
{
"ipa": "/ˌɪɹɪˈdjuːsɪbəl/"
}
],
"word": "irreducible"
}
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"args": {
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"2": "in",
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"etymology_text": "ir- + reducible",
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{
"form": "irreducibles",
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"id": "en-irreducible-en-noun-U3mM7NEt",
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"(mathematics) Such a polynomial"
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{
"ipa": "/ˌɪɹɪˈdjuːsɪbəl/"
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"antonyms": [
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"word": "reducible"
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"categories": [
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"derived": [
{
"word": "irreducibility"
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{
"word": "irreducible complexity"
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{
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"forms": [
{
"form": "more irreducible",
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{
"form": "most irreducible",
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{
"antonyms": [
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"ref": "1948 January and February, Cecil J. Allen, “British Locomotive Practice and Performance”, in Railway Magazine, page 48",
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],
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"Not able to be reduced or lessened."
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"raw_glosses": [
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"ipa": "/ˌɪɹɪˈdjuːsɪbəl/"
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"translations": [
{
"code": "bg",
"lang": "Bulgarian",
"roman": "nepodležašt na namalenie",
"sense": "not able to be reduced or lessened",
"word": "неподлежащ на намаление"
},
{
"code": "ca",
"lang": "Catalan",
"sense": "not able to be reduced or lessened",
"word": "irreductible"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "not able to be reduced or lessened",
"word": "onherleidbaar"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "not able to be reduced or lessened",
"word": "vähenemätön"
},
{
"code": "fr",
"lang": "French",
"sense": "not able to be reduced or lessened",
"word": "irréductible"
},
{
"code": "ga",
"lang": "Irish",
"sense": "not able to be reduced or lessened",
"word": "dochloíte"
},
{
"code": "ga",
"lang": "Irish",
"sense": "not able to be reduced or lessened",
"word": "dosháraithe"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "herasenai",
"sense": "not able to be reduced or lessened",
"word": "減らせない"
},
{
"code": "mk",
"lang": "Macedonian",
"roman": "nesvedliv",
"sense": "not able to be reduced or lessened",
"word": "несведлив"
},
{
"code": "pl",
"lang": "Polish",
"sense": "not able to be reduced or lessened",
"word": "nieredukowalny"
},
{
"code": "bg",
"lang": "Bulgarian",
"roman": "nesǎkratim",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "несъкратим"
},
{
"code": "nl",
"lang": "Dutch",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "onherleidbaar"
},
{
"code": "eo",
"lang": "Esperanto",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "nereduktebla"
},
{
"code": "fi",
"lang": "Finnish",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "jaoton"
},
{
"code": "fr",
"lang": "French",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "irréductible"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "kiyaku no",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "既約の"
},
{
"code": "mk",
"lang": "Macedonian",
"roman": "neskratliv",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "нескратлив"
},
{
"code": "pl",
"lang": "Polish",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "nieredukowalny"
},
{
"code": "es",
"lang": "Spanish",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "irreducible"
}
],
"word": "irreducible"
}
{
"categories": [
"English 5-syllable words",
"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with in-",
"English terms with IPA pronunciation"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "in",
"3": "reducible",
"alt1": "ir"
},
"expansion": "ir- + reducible",
"name": "prefix"
}
],
"etymology_text": "ir- + reducible",
"forms": [
{
"form": "irreducibles",
"tags": [
"plural"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "irreducible (plural irreducibles)",
"name": "en-noun"
}
],
"lang": "English",
"lang_code": "en",
"pos": "noun",
"senses": [
{
"categories": [
"en:Mathematics"
],
"glosses": [
"Such a polynomial"
],
"links": [
[
"mathematics",
"mathematics"
]
],
"raw_glosses": [
"(mathematics) Such a polynomial"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˌɪɹɪˈdjuːsɪbəl/"
}
],
"word": "irreducible"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.