"hyperoperation" meaning in All languages combined

See hyperoperation on Wiktionary

Noun [English]

Forms: hyperoperations [plural]
Etymology: hyper- + operation Etymology templates: {{prefix|en|hyper|operation}} hyper- + operation Head templates: {{en-noun}} hyperoperation (plural hyperoperations)
  1. (mathematics) One of a sequence of operations for compounding numbers that increase in growth iteratively. Categories (topical): Mathematics
    Sense id: en-hyperoperation-en-noun-sxkYQpzm Categories (other): English entries with incorrect language header, English terms prefixed with hyper- Topics: mathematics, sciences Coordinate_terms: successor Coordinate_terms (addition, summation): + = (alt: augend) (english: addend; total), + +... = (alt: summand) (english: sum) Coordinate_terms (division; dividend): ÷ = (quotient) Coordinate_terms (exponentiation; base): = (alt: exponent) (english: power) Coordinate_terms (logarithmization): log(base) = (alt: antilogarithm) (english: logarithm) Coordinate_terms (multiplication, factorization; factor): × ×... = (english: factor; factor; product) Coordinate_terms (multiplication, factorization; multiplier): × = (multiplicand) (english: product) Coordinate_terms (numerator) / (denominator) = (quotient): Or sometimes (alt: quotient) (english: with remaining) Coordinate_terms (root extraction; degree): √ = (radicand) [root] Coordinate_terms (subtraction): − = (subtrahend) (english: difference)

Inflected forms

Download JSON data for hyperoperation meaning in All languages combined (2.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "operation"
      },
      "expansion": "hyper- + operation",
      "name": "prefix"
    }
  ],
  "etymology_text": "hyper- + operation",
  "forms": [
    {
      "form": "hyperoperations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperoperation (plural hyperoperations)",
      "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": "other",
          "name": "English terms prefixed with hyper-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "coordinate_terms": [
        {
          "word": "successor"
        },
        {
          "alt": "augend",
          "english": "addend; total",
          "sense": "addition, summation",
          "word": "+ ="
        },
        {
          "alt": "summand",
          "english": "sum",
          "sense": "addition, summation",
          "word": "+ +... ="
        },
        {
          "english": "difference",
          "roman": "subtrahend",
          "sense": "subtraction",
          "word": "− ="
        },
        {
          "english": "product",
          "roman": "multiplicand",
          "sense": "multiplication, factorization; multiplier",
          "word": "× ="
        },
        {
          "english": "factor; factor; product",
          "sense": "multiplication, factorization; factor",
          "word": "× ×... ="
        },
        {
          "roman": "quotient",
          "sense": "division; dividend",
          "word": "÷ ="
        },
        {
          "alt": "quotient",
          "english": "with remaining",
          "sense": "numerator) / (denominator) = (quotient",
          "word": "Or sometimes"
        },
        {
          "alt": "exponent",
          "english": "power",
          "sense": "exponentiation; base",
          "word": "="
        },
        {
          "roman": "radicand",
          "sense": "root extraction; degree",
          "tags": [
            "root"
          ],
          "word": "√ ="
        },
        {
          "alt": "antilogarithm",
          "english": "logarithm",
          "sense": "logarithmization",
          "word": "log(base) ="
        }
      ],
      "examples": [
        {
          "text": "The first four hyperoperations are successor, addition, multiplication, and exponentiation."
        }
      ],
      "glosses": [
        "One of a sequence of operations for compounding numbers that increase in growth iteratively."
      ],
      "id": "en-hyperoperation-en-noun-sxkYQpzm",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "compound",
          "compound"
        ],
        [
          "number",
          "number"
        ],
        [
          "iterative",
          "iterative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) One of a sequence of operations for compounding numbers that increase in growth iteratively."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hyperoperation"
}
{
  "coordinate_terms": [
    {
      "word": "successor"
    },
    {
      "alt": "augend",
      "english": "addend; total",
      "sense": "addition, summation",
      "word": "+ ="
    },
    {
      "alt": "summand",
      "english": "sum",
      "sense": "addition, summation",
      "word": "+ +... ="
    },
    {
      "english": "difference",
      "roman": "subtrahend",
      "sense": "subtraction",
      "word": "− ="
    },
    {
      "english": "product",
      "roman": "multiplicand",
      "sense": "multiplication, factorization; multiplier",
      "word": "× ="
    },
    {
      "english": "factor; factor; product",
      "sense": "multiplication, factorization; factor",
      "word": "× ×... ="
    },
    {
      "roman": "quotient",
      "sense": "division; dividend",
      "word": "÷ ="
    },
    {
      "alt": "quotient",
      "english": "with remaining",
      "sense": "numerator) / (denominator) = (quotient",
      "word": "Or sometimes"
    },
    {
      "alt": "exponent",
      "english": "power",
      "sense": "exponentiation; base",
      "word": "="
    },
    {
      "roman": "radicand",
      "sense": "root extraction; degree",
      "tags": [
        "root"
      ],
      "word": "√ ="
    },
    {
      "alt": "antilogarithm",
      "english": "logarithm",
      "sense": "logarithmization",
      "word": "log(base) ="
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "hyper",
        "3": "operation"
      },
      "expansion": "hyper- + operation",
      "name": "prefix"
    }
  ],
  "etymology_text": "hyper- + operation",
  "forms": [
    {
      "form": "hyperoperations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "hyperoperation (plural hyperoperations)",
      "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 prefixed with hyper-",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The first four hyperoperations are successor, addition, multiplication, and exponentiation."
        }
      ],
      "glosses": [
        "One of a sequence of operations for compounding numbers that increase in growth iteratively."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "sequence",
          "sequence"
        ],
        [
          "operation",
          "operation"
        ],
        [
          "compound",
          "compound"
        ],
        [
          "number",
          "number"
        ],
        [
          "iterative",
          "iterative"
        ]
      ],
      "raw_glosses": [
        "(mathematics) One of a sequence of operations for compounding numbers that increase in growth iteratively."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "hyperoperation"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-19 from the enwiktionary dump dated 2024-06-06 using wiktextract (372f256 and 664a3bc). 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.