"functorially" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "functorial",
        "3": "ly"
      },
      "expansion": "functorial + -ly",
      "name": "suffix"
    }
  ],
  "etymology_text": "From functorial + -ly.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "functorially (not comparable)",
      "name": "en-adv"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -ly",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
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          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Alexander Garver, Thomas McConville, “Lattice Properties of Oriented Exchange Graphs and Torsion Classes”, in arXiv:",
          "text": "Building on work of Iyama, Reiten, Thomas, and Todorov, we show that this directed graph is a semidistributive lattice by using the isomorphism to the lattice of functorially finite torsion classes of the corresponding cluster-tilted algebra when the exchange graph is finite.",
          "type": "quote"
        }
      ],
      "glosses": [
        "In a functorial manner."
      ],
      "id": "en-functorially-en-adv-8F-Oz9sL",
      "links": [
        [
          "functorial",
          "functorial#English"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "functorially"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "functorial",
        "3": "ly"
      },
      "expansion": "functorial + -ly",
      "name": "suffix"
    }
  ],
  "etymology_text": "From functorial + -ly.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "functorially (not comparable)",
      "name": "en-adv"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
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        "English terms suffixed with -ly",
        "English terms with quotations",
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      ],
      "examples": [
        {
          "ref": "2015, Alexander Garver, Thomas McConville, “Lattice Properties of Oriented Exchange Graphs and Torsion Classes”, in arXiv:",
          "text": "Building on work of Iyama, Reiten, Thomas, and Todorov, we show that this directed graph is a semidistributive lattice by using the isomorphism to the lattice of functorially finite torsion classes of the corresponding cluster-tilted algebra when the exchange graph is finite.",
          "type": "quote"
        }
      ],
      "glosses": [
        "In a functorial manner."
      ],
      "links": [
        [
          "functorial",
          "functorial#English"
        ]
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "functorially"
}