"traciator" meaning in English

{
  "forms": [
    {
      "form": "traciators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "traciator (plural traciators)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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          "kind": "other",
          "name": "English entries with incorrect language header",
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          "source": "w"
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Fundamental"
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          "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": [
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          "mathematics",
          "mathematics"
        ],
        [
          "isomorphism",
          "isomorphism"
        ],
        [
          "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"
}

{
  "forms": [
    {
      "form": "traciators",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "expansion": "traciator (plural traciators)",
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  "lang_code": "en",
  "pos": "noun",
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          "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)."
      ],
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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"
}