See biequivalent in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "bi", "3": "equivalent" }, "expansion": "bi- + equivalent", "name": "prefix" } ], "etymology_text": "From bi- + equivalent.", "head_templates": [ { "args": { "1": "-" }, "expansion": "biequivalent (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" }, { "_dis": "67 33", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "60 40", "kind": "other", "name": "English terms prefixed with bi-", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "74 26", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" } ], "examples": [ { "ref": "2016, Michael Shulman, “Contravariance through enrichment”, in arXiv:", "text": "We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is biequivalent to a 2-category with a strict duality involution.", "type": "quote" } ], "glosses": [ "Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B." ], "id": "en-biequivalent-en-adj-CyFm7P2A", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics, of two entities A and B) Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B." ], "raw_tags": [ "of two entities A and B" ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Chemistry", "orig": "en:Chemistry", "parents": [ "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "1876, John Forbes Royle, John Harley, Royle's Manual of Materia Medica and Therapeutics:", "text": "This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the biequivalent atom of mercury.", "type": "quote" } ], "glosses": [ "Capable of replacing a bond formed by H₂ to any molecule." ], "id": "en-biequivalent-en-adj-ujXWUzps", "links": [ [ "chemistry", "chemistry" ] ], "raw_glosses": [ "(chemistry) Capable of replacing a bond formed by H₂ to any molecule." ], "tags": [ "not-comparable" ], "topics": [ "chemistry", "natural-sciences", "physical-sciences" ] } ], "word": "biequivalent" }
{ "categories": [ "English adjectives", "English entries with incorrect language header", "English lemmas", "English terms prefixed with bi-", "English uncomparable adjectives", "Pages with 1 entry", "Pages with entries" ], "etymology_templates": [ { "args": { "1": "en", "2": "bi", "3": "equivalent" }, "expansion": "bi- + equivalent", "name": "prefix" } ], "etymology_text": "From bi- + equivalent.", "head_templates": [ { "args": { "1": "-" }, "expansion": "biequivalent (not comparable)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English terms with quotations", "en:Mathematics" ], "examples": [ { "ref": "2016, Michael Shulman, “Contravariance through enrichment”, in arXiv:", "text": "We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is biequivalent to a 2-category with a strict duality involution.", "type": "quote" } ], "glosses": [ "Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics, of two entities A and B) Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M₁ (A->B) and M₂ (B->A) such that M₁M₂(A) is equivalent to applying the unity operator to A and M₂ M₁(B) is equivalent to applying the unity operator to B." ], "raw_tags": [ "of two entities A and B" ], "tags": [ "not-comparable" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "English terms with quotations", "en:Chemistry" ], "examples": [ { "ref": "1876, John Forbes Royle, John Harley, Royle's Manual of Materia Medica and Therapeutics:", "text": "This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the biequivalent atom of mercury.", "type": "quote" } ], "glosses": [ "Capable of replacing a bond formed by H₂ to any molecule." ], "links": [ [ "chemistry", "chemistry" ] ], "raw_glosses": [ "(chemistry) Capable of replacing a bond formed by H₂ to any molecule." ], "tags": [ "not-comparable" ], "topics": [ "chemistry", "natural-sciences", "physical-sciences" ] } ], "word": "biequivalent" }
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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.
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.