"traciator" meaning in All languages combined

See traciator on Wiktionary

Noun [English]

Forms: traciators [plural]
Head templates: {{en-noun}} traciator (plural traciators)
  1. (mathematics) A natural isomorphism of a functor (F) such that F(x⊗y)→F(y⊗x). Categories (topical): Mathematics
    Sense id: en-traciator-en-noun-G3kaze2W Categories (other): English entries with incorrect language header, Pages with 1 entry Topics: mathematics, sciences

Inflected forms

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  "head_templates": [
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      "expansion": "traciator (plural traciators)",
      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        {
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          "name": "English entries with incorrect language header",
          "parents": [
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        },
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        },
        {
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, André Henriques, David Penneys, James Tener, “Categorified trace for module tensor categories over braided tensor categories”, in arXiv:",
          "text": "This situation lends itself to a diagramatic calculus of `strings on cylinders', where the traciator corresponds to wrapping a string around the back of a cylinder.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A natural isomorphism of a functor (F) such that F(x⊗y)→F(y⊗x)."
      ],
      "id": "en-traciator-en-noun-G3kaze2W",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
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          "functor",
          "functor"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A natural isomorphism of a functor (F) such that F(x⊗y)→F(y⊗x)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "traciator"
}
{
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  ],
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      "expansion": "traciator (plural traciators)",
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  "senses": [
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          "ref": "2015, André Henriques, David Penneys, James Tener, “Categorified trace for module tensor categories over braided tensor categories”, in arXiv:",
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          "type": "quote"
        }
      ],
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        "A natural isomorphism of a functor (F) such that F(x⊗y)→F(y⊗x)."
      ],
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          "mathematics",
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        ],
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          "isomorphism"
        ],
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        ]
      ],
      "raw_glosses": [
        "(mathematics) A natural isomorphism of a functor (F) such that F(x⊗y)→F(y⊗x)."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "traciator"
}

Download raw JSONL data for traciator meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.