"biequivalent" meaning in All languages combined

See biequivalent on Wiktionary

Adjective [English]

Etymology: bi- + equivalent Etymology templates: {{prefix|en|bi|equivalent}} bi- + equivalent Head templates: {{en-adj|-}} biequivalent (not comparable)
  1. (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. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-biequivalent-en-adj-CyFm7P2A Categories (other): English entries with incorrect language header, English terms prefixed with bi- Disambiguation of English entries with incorrect language header: 66 34 Disambiguation of English terms prefixed with bi-: 60 40 Topics: mathematics, sciences
  2. (chemistry) Capable of replacing a bond formed by H₂ to any molecule. Tags: not-comparable Categories (topical): Chemistry
    Sense id: en-biequivalent-en-adj-ujXWUzps Topics: chemistry, natural-sciences, physical-sciences

Download JSON data for biequivalent meaning in All languages combined (2.7kB)

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      "args": {
        "1": "en",
        "2": "bi",
        "3": "equivalent"
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  "etymology_text": "bi- + equivalent",
  "head_templates": [
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      "expansion": "biequivalent (not comparable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
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          "parents": [
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            "Sciences",
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            "Fundamental"
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          "source": "w"
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        {
          "_dis": "66 34",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w+disamb"
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        {
          "_dis": "60 40",
          "kind": "other",
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          "parents": [],
          "source": "w+disamb"
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      "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": "quotation"
        }
      ],
      "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."
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        "(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"
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          "langcode": "en",
          "name": "Chemistry",
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            "All topics",
            "Fundamental"
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          "source": "w"
        }
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      "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": "quotation"
        }
      ],
      "glosses": [
        "Capable of replacing a bond formed by H₂ to any molecule."
      ],
      "id": "en-biequivalent-en-adj-ujXWUzps",
      "links": [
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      "raw_glosses": [
        "(chemistry) Capable of replacing a bond formed by H₂ to any molecule."
      ],
      "tags": [
        "not-comparable"
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      "topics": [
        "chemistry",
        "natural-sciences",
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  "etymology_text": "bi- + equivalent",
  "head_templates": [
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  "lang_code": "en",
  "pos": "adj",
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      "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": "quotation"
        }
      ],
      "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."
      ],
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      "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."
      ],
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        {
          "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": "quotation"
        }
      ],
      "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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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