"semiprojection" meaning in English

{
  "forms": [
    {
      "form": "semiprojections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "semiprojection (plural semiprojections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1997, Journal of the Association for Computing Machinery, page 544",
          "text": "We now show that closure under a semiprojection operation is not in general a sufficient condition for tractability.",
          "type": "quotation"
        },
        {
          "ref": "2012, Janos Aczel, Aggregating clones, colors, equations, iterates, numbers, and tiles, page 13",
          "text": "Let f be the semiprojection defined by the bitransitive relation R. Then [f] is a minimal clone.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A function f of rank k, where k is greater than or equal to three, such that for some index i between one and k (inclusive), f(x₁, x₂, ... xₖ) = xᵢ whenever |{x₁, x₂, ... xₖ}| < k."
      ],
      "id": "en-semiprojection-en-noun-7X6yz3MP",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function f of rank k, where k is greater than or equal to three, such that for some index i between one and k (inclusive), f(x₁, x₂, ... xₖ) = xᵢ whenever |{x₁, x₂, ... xₖ}| < k."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "semiprojection"
}

{
  "forms": [
    {
      "form": "semiprojections",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "semiprojection (plural semiprojections)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Quotation templates to be cleaned",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1997, Journal of the Association for Computing Machinery, page 544",
          "text": "We now show that closure under a semiprojection operation is not in general a sufficient condition for tractability.",
          "type": "quotation"
        },
        {
          "ref": "2012, Janos Aczel, Aggregating clones, colors, equations, iterates, numbers, and tiles, page 13",
          "text": "Let f be the semiprojection defined by the bitransitive relation R. Then [f] is a minimal clone.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A function f of rank k, where k is greater than or equal to three, such that for some index i between one and k (inclusive), f(x₁, x₂, ... xₖ) = xᵢ whenever |{x₁, x₂, ... xₖ}| < k."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function f of rank k, where k is greater than or equal to three, such that for some index i between one and k (inclusive), f(x₁, x₂, ... xₖ) = xᵢ whenever |{x₁, x₂, ... xₖ}| < k."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "semiprojection"
}