See irreducible in All languages combined, or Wiktionary
{
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"word": "reducible"
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],
"derived": [
{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irreducibility"
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{
"_dis1": "0 0 0 0 0 0 0 0 0",
"word": "irreducible complexity"
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{
"_dis1": "0 0 0 0 0 0 0 0 0",
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{
"_dis1": "0 0 0 0 0 0 0 0 0",
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{
"_dis1": "0 0 0 0 0 0 0 0 0",
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"etymology_text": "From ir- + reducible.",
"forms": [
{
"form": "more irreducible",
"tags": [
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"form": "most irreducible",
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{
"word": "unincreasable"
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{
"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.",
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"id": "en-irreducible-en-adj-kzZ3yGpR",
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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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"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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[
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"factorized",
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"(mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1)."
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"mathematics",
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"id": "en-irreducible-en-adj-OYDdsAvm",
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"(number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1."
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"glosses": [
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"(number theory, of an integer) Unable to be factored into smaller integers; prime."
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"raw_tags": [
"of an integer"
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"translations": [
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "bg",
"lang": "Bulgarian",
"roman": "nesǎkratim",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "несъкратим"
},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "nl",
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},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "eo",
"lang": "Esperanto",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "nereduktebla"
},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "fi",
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"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "jaoton"
},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "fr",
"lang": "French",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "irréductible"
},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"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 6 18 7 40 5 7 5 8",
"code": "mk",
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"roman": "neskratliv",
"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "нескратлив"
},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "pl",
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"sense": "(mathematics, of an integer) unable to be factored into smaller integers",
"word": "nieredukowalny"
},
{
"_dis1": "4 6 18 7 40 5 7 5 8",
"code": "es",
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"word": "irreducible"
}
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"raw_tags": [
"of an element of a ring"
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"topics": [
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{
"categories": [
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"kind": "topical",
"langcode": "en",
"name": "Algebraic geometry",
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"(algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties."
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"Impossible to divide further into representations of lower dimension by means of any similarity transformation."
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[
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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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"sounds": [
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[
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"mathematics"
]
],
"raw_glosses": [
"(mathematics) Such a polynomial"
],
"topics": [
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˌɪɹɪˈdjuːsɪbəl/"
}
],
"word": "irreducible"
}
{
"antonyms": [
{
"word": "reducible"
}
],
"categories": [
"English adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with in-",
"Entries with translation boxes",
"Pages with 2 entries",
"Pages with entries",
"Terms with Bulgarian translations",
"Terms with Catalan translations",
"Terms with Dutch translations",
"Terms with Esperanto translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with Irish translations",
"Terms with Japanese translations",
"Terms with Macedonian translations",
"Terms with Polish translations",
"Terms with Spanish translations"
],
"derived": [
{
"word": "irreducibility"
},
{
"word": "irreducible complexity"
},
{
"word": "irreducibleness"
},
{
"word": "irreducibly"
},
{
"word": "irrep"
}
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "in",
"3": "reducible",
"alt1": "ir"
},
"expansion": "ir- + reducible",
"name": "prefix"
}
],
"etymology_text": "From ir- + reducible.",
"forms": [
{
"form": "more irreducible",
"tags": [
"comparative"
]
},
{
"form": "most irreducible",
"tags": [
"superlative"
]
}
],
"head_templates": [
{
"args": {},
"expansion": "irreducible (comparative more irreducible, superlative most irreducible)",
"name": "en-adj"
}
],
"lang": "English",
"lang_code": "en",
"pos": "adj",
"senses": [
{
"antonyms": [
{
"word": "unincreasable"
}
],
"categories": [
"English terms with quotations"
],
"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": "quote"
}
],
"glosses": [
"Not able to be reduced or lessened."
],
"links": [
[
"reduce",
"reduce"
],
[
"lessen",
"lessen"
]
]
},
{
"glosses": [
"Not able to be brought to a simpler or reduced form."
],
"links": [
[
"simpler",
"simpler"
]
]
},
{
"categories": [
"en:Mathematics"
],
"glosses": [
"Unable to be factorized into polynomials of lower degree, as (x² + 1)."
],
"links": [
[
"mathematics",
"mathematics"
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[
"polynomial",
"polynomial"
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[
"factorized",
"factorized"
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[
"degree",
"degree"
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"raw_glosses": [
"(mathematics, of a polynomial) Unable to be factorized into polynomials of lower degree, as (x² + 1)."
],
"raw_tags": [
"of a polynomial"
],
"topics": [
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Number theory"
],
"glosses": [
"Whose numerator and denominator share no common factor greater than 1."
],
"links": [
[
"number theory",
"number theory"
],
[
"numerator",
"numerator"
],
[
"denominator",
"denominator"
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[
"factor",
"factor"
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"raw_glosses": [
"(number theory, of a fraction) Whose numerator and denominator share no common factor greater than 1."
],
"raw_tags": [
"of a fraction"
],
"topics": [
"mathematics",
"number-theory",
"sciences"
]
},
{
"categories": [
"en:Number theory"
],
"glosses": [
"Unable to be factored into smaller integers; prime."
],
"links": [
[
"number theory",
"number theory"
],
[
"factor",
"factor"
],
[
"prime",
"prime"
]
],
"raw_glosses": [
"(number theory, of an integer) Unable to be factored into smaller integers; prime."
],
"raw_tags": [
"of an integer"
],
"topics": [
"mathematics",
"number-theory",
"sciences"
]
},
{
"categories": [
"en:Algebra"
],
"glosses": [
"Whose only divisors are units and associates."
],
"links": [
[
"algebra",
"algebra"
],
[
"element",
"element"
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[
"ring",
"ring"
],
[
"unit",
"unit"
],
[
"associate",
"associate"
]
],
"raw_glosses": [
"(algebra, of an element of a ring) Whose only divisors are units and associates."
],
"raw_tags": [
"of an element of a ring"
],
"topics": [
"algebra",
"mathematics",
"sciences"
]
},
{
"categories": [
"en:Algebraic geometry"
],
"glosses": [
"Inexpressible as the union of two proper algebraic subvarieties."
],
"links": [
[
"algebraic geometry",
"algebraic geometry"
],
[
"algebraic variety",
"algebraic variety"
],
[
"Inexpressible",
"inexpressible"
],
[
"union",
"union"
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[
"proper",
"proper"
]
],
"raw_glosses": [
"(algebraic geometry, of an algebraic variety) Inexpressible as the union of two proper algebraic subvarieties."
],
"raw_tags": [
"of an algebraic variety"
],
"topics": [
"algebraic-geometry",
"geometry",
"mathematics",
"sciences"
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},
{
"categories": [
"en:Topology"
],
"glosses": [
"Not containing a sphere of codimension 1 that is not the boundary of a ball."
],
"links": [
[
"topology",
"topology"
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[
"manifold",
"manifold"
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[
"sphere",
"sphere"
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[
"codimension",
"codimension"
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[
"boundary",
"boundary"
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[
"ball",
"ball"
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"raw_glosses": [
"(topology, of a manifold) Not containing a sphere of codimension 1 that is not the boundary of a ball."
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"raw_tags": [
"of a manifold"
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"topics": [
"mathematics",
"sciences",
"topology"
]
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{
"categories": [
"en:Group theory"
],
"glosses": [
"Impossible to divide further into representations of lower dimension by means of any similarity transformation."
],
"links": [
[
"group theory",
"group theory"
],
[
"representation",
"representation"
]
],
"raw_glosses": [
"(group theory, of a representation) Impossible to divide further into representations of lower dimension by means of any similarity transformation."
],
"raw_tags": [
"of a representation"
],
"topics": [
"group-theory",
"mathematics",
"sciences"
]
}
],
"sounds": [
{
"ipa": "/ˌɪɹɪˈdjuːsɪbəl/"
}
],
"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 adjectives",
"English countable nouns",
"English entries with incorrect language header",
"English lemmas",
"English nouns",
"English terms prefixed with in-",
"Entries with translation boxes",
"Pages with 2 entries",
"Pages with entries",
"Terms with Bulgarian translations",
"Terms with Catalan translations",
"Terms with Dutch translations",
"Terms with Esperanto translations",
"Terms with Finnish translations",
"Terms with French translations",
"Terms with Irish translations",
"Terms with Japanese translations",
"Terms with Macedonian translations",
"Terms with Polish translations",
"Terms with Spanish translations"
],
"etymology_templates": [
{
"args": {
"1": "en",
"2": "in",
"3": "reducible",
"alt1": "ir"
},
"expansion": "ir- + reducible",
"name": "prefix"
}
],
"etymology_text": "From 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"
}
Download raw JSONL data for irreducible meaning in English (9.1kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.