See monic in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "ic" }, "expansion": "mono- + -ic", "name": "confix" } ], "etymology_text": "From mono- + -ic.", "head_templates": [ { "args": { "1": "-" }, "expansion": "monic (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "other", "langcode": "en", "name": "Polynomials", "orig": "en:Polynomials", "parents": [], "source": "w" }, { "_dis": "17 36 38 10", "kind": "other", "name": "English terms prefixed with mono-", "parents": [], "source": "w+disamb" } ], "glosses": [ "Of a polynomial whose leading coefficient is one." ], "id": "en-monic-en-adj-0ZPzi650", "links": [ [ "mathematics", "mathematics" ], [ "polynomial", "polynomial" ], [ "coefficient", "coefficient" ] ], "raw_glosses": [ "(mathematics) Of a polynomial whose leading coefficient is one." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Biology", "orig": "en:Biology", "parents": [ "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "28 41 26 6", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "17 36 38 10", "kind": "other", "name": "English terms prefixed with mono-", "parents": [], "source": "w+disamb" }, { "_dis": "25 55 16 4", "kind": "other", "name": "English terms suffixed with -ic", "parents": [], "source": "w+disamb" }, { "_dis": "20 50 27 3", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "33 43 19 6", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "23 59 16 2", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" }, { "_dis": "17 63 15 5", "kind": "other", "name": "Terms with Catalan translations", "parents": [], "source": "w+disamb" }, { "_dis": "16 66 16 2", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "15 71 12 1", "kind": "other", "name": "Terms with Spanish translations", "parents": [], "source": "w+disamb" } ], "glosses": [ "Monomorphic." ], "id": "en-monic-en-adj-3GlfQ48G", "links": [ [ "biology", "biology" ], [ "Monomorphic", "monomorphic" ] ], "raw_glosses": [ "(biology) Monomorphic." ], "tags": [ "not-comparable" ], "topics": [ "biology", "natural-sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Category theory", "orig": "en:Category theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "17 36 38 10", "kind": "other", "name": "English terms prefixed with mono-", "parents": [], "source": "w+disamb" } ], "examples": [ { "text": "If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.", "type": "example" }, { "ref": "1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, page 5", "text": "It is often convenient to view a monic arrow i:A↣C, defined in Chapter 1, as showing that A is a copy of a part of C, and that i maps the copy on to that part. For example, in Set, the monic arrows are the one-to-one functions and, clearly, if i is one-to-one then A is a copy of a subset of C, namely of the image of i.", "type": "quotation" } ], "glosses": [ "Of a morphism: that it is a monomorphism." ], "id": "en-monic-en-adj-wgg8C0Wd", "links": [ [ "category theory", "category theory" ], [ "monomorphism", "monomorphism" ] ], "raw_glosses": [ "(category theory) Of a morphism: that it is a monomorphism." ], "tags": [ "not-comparable" ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ] } ], "word": "monic" } { "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "ic" }, "expansion": "mono- + -ic", "name": "confix" } ], "etymology_text": "From mono- + -ic.", "forms": [ { "form": "monics", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "monic (plural monics)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "glosses": [ "A monic polynomial." ], "id": "en-monic-en-noun-40wuMqkf", "links": [ [ "polynomial", "polynomial" ] ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "of a polynomial whose leading coefficient is one", "word": "mònic" }, { "code": "fr", "lang": "French", "sense": "of a polynomial whose leading coefficient is one", "word": "unitaire" }, { "code": "fr", "lang": "French", "sense": "of a polynomial whose leading coefficient is one", "word": "normalisé" }, { "code": "es", "lang": "Spanish", "sense": "of a polynomial whose leading coefficient is one", "tags": [ "masculine" ], "word": "mónico" } ] } ], "word": "monic" }
{ "categories": [ "English adjectives", "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with mono-", "English terms suffixed with -ic", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Catalan translations", "Terms with French translations", "Terms with Spanish translations" ], "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "ic" }, "expansion": "mono- + -ic", "name": "confix" } ], "etymology_text": "From mono- + -ic.", "head_templates": [ { "args": { "1": "-" }, "expansion": "monic (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "en:Mathematics", "en:Polynomials" ], "glosses": [ "Of a polynomial whose leading coefficient is one." ], "links": [ [ "mathematics", "mathematics" ], [ "polynomial", "polynomial" ], [ "coefficient", "coefficient" ] ], "raw_glosses": [ "(mathematics) Of a polynomial whose leading coefficient is one." ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Biology" ], "glosses": [ "Monomorphic." ], "links": [ [ "biology", "biology" ], [ "Monomorphic", "monomorphic" ] ], "raw_glosses": [ "(biology) Monomorphic." ], "tags": [ "not-comparable" ], "topics": [ "biology", "natural-sciences" ] }, { "categories": [ "English terms with usage examples", "en:Category theory" ], "examples": [ { "text": "If a composition (of morphisms) is monic then, by theorem, the pre-composite of it is monic as well.", "type": "example" }, { "ref": "1995, Colin McLarty, “Introduction”, in Elementary Categories, Elementary Toposes, page 5", "text": "It is often convenient to view a monic arrow i:A↣C, defined in Chapter 1, as showing that A is a copy of a part of C, and that i maps the copy on to that part. For example, in Set, the monic arrows are the one-to-one functions and, clearly, if i is one-to-one then A is a copy of a subset of C, namely of the image of i.", "type": "quotation" } ], "glosses": [ "Of a morphism: that it is a monomorphism." ], "links": [ [ "category theory", "category theory" ], [ "monomorphism", "monomorphism" ] ], "raw_glosses": [ "(category theory) Of a morphism: that it is a monomorphism." ], "tags": [ "not-comparable" ], "topics": [ "category-theory", "computing", "engineering", "mathematics", "natural-sciences", "physical-sciences", "sciences" ] } ], "word": "monic" } { "categories": [ "English adjectives", "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms prefixed with mono-", "English terms suffixed with -ic", "English uncomparable adjectives", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Catalan translations", "Terms with French translations", "Terms with Spanish translations" ], "etymology_templates": [ { "args": { "1": "en", "2": "mono", "3": "ic" }, "expansion": "mono- + -ic", "name": "confix" } ], "etymology_text": "From mono- + -ic.", "forms": [ { "form": "monics", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "monic (plural monics)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "glosses": [ "A monic polynomial." ], "links": [ [ "polynomial", "polynomial" ] ] } ], "translations": [ { "code": "ca", "lang": "Catalan", "sense": "of a polynomial whose leading coefficient is one", "word": "mònic" }, { "code": "fr", "lang": "French", "sense": "of a polynomial whose leading coefficient is one", "word": "unitaire" }, { "code": "fr", "lang": "French", "sense": "of a polynomial whose leading coefficient is one", "word": "normalisé" }, { "code": "es", "lang": "Spanish", "sense": "of a polynomial whose leading coefficient is one", "tags": [ "masculine" ], "word": "mónico" } ], "word": "monic" }
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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.
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