"tetration" meaning in English

See tetration in All languages combined, or Wiktionary

Noun

IPA: /tɛtˈɹeɪʃən/ Forms: tetrations [plural]
Rhymes: -eɪʃən Etymology: tetra- + (itera)tion; coined by Reuben Goodstein Etymology templates: {{prefix|en|tetra|iteration|alt2=(itera)tion}} tetra- + (itera)tion Head templates: {{en-noun|-|s}} tetration (usually uncountable, plural tetrations)
  1. (arithmetic) The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇa denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ᵇa, a↑↑b or a→b→2 Wikipedia link: tetration Tags: uncountable, usually Categories (topical): Arithmetic Synonyms: exponential map, hyper4, hyperpower, power tower, superexponentiation Translations (Translations): 超-4運算 (Chinese Mandarin), 超-4运算 (Chinese Mandarin), tetraatio (Finnish), Tetration [feminine] (German), tetrazione [feminine] (Italian), tetracja [feminine] (Polish)
    Sense id: en-tetration-en-noun-09kuMviU Categories (other): English entries with incorrect language header, English terms prefixed with tetra- Topics: arithmetic Coordinate_terms: succession, addition, multiplication, exponentiation, pentation, hexation, 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 tetration meaning in English (3.8kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "tetra",
        "3": "iteration",
        "alt2": "(itera)tion"
      },
      "expansion": "tetra- + (itera)tion",
      "name": "prefix"
    }
  ],
  "etymology_text": "tetra- + (itera)tion; coined by Reuben Goodstein",
  "forms": [
    {
      "form": "tetrations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-",
        "2": "s"
      },
      "expansion": "tetration (usually uncountable, plural tetrations)",
      "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 tetra-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Arithmetic",
          "orig": "en:Arithmetic",
          "parents": [
            "Applied sciences",
            "Mathematics",
            "Sciences",
            "Formal sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "coordinate_terms": [
        {
          "word": "succession"
        },
        {
          "word": "addition"
        },
        {
          "word": "multiplication"
        },
        {
          "word": "exponentiation"
        },
        {
          "word": "pentation"
        },
        {
          "word": "hexation"
        },
        {
          "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) ="
        }
      ],
      "glosses": [
        "The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇa denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ᵇa, a↑↑b or a→b→2"
      ],
      "id": "en-tetration-en-noun-09kuMviU",
      "links": [
        [
          "arithmetic",
          "arithmetic"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "exponentiation",
          "exponentiation"
        ]
      ],
      "raw_glosses": [
        "(arithmetic) The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇa denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ᵇa, a↑↑b or a→b→2"
      ],
      "synonyms": [
        {
          "word": "exponential map"
        },
        {
          "word": "hyper4"
        },
        {
          "word": "hyperpower"
        },
        {
          "word": "power tower"
        },
        {
          "word": "superexponentiation"
        }
      ],
      "tags": [
        "uncountable",
        "usually"
      ],
      "topics": [
        "arithmetic"
      ],
      "translations": [
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "Translations",
          "word": "超-4運算"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "Translations",
          "word": "超-4运算"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "Translations",
          "word": "tetraatio"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "Tetration"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "tetrazione"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "Translations",
          "tags": [
            "feminine"
          ],
          "word": "tetracja"
        }
      ],
      "wikipedia": [
        "tetration"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/tɛtˈɹeɪʃən/"
    },
    {
      "rhymes": "-eɪʃən"
    }
  ],
  "word": "tetration"
}
{
  "coordinate_terms": [
    {
      "word": "succession"
    },
    {
      "word": "addition"
    },
    {
      "word": "multiplication"
    },
    {
      "word": "exponentiation"
    },
    {
      "word": "pentation"
    },
    {
      "word": "hexation"
    },
    {
      "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": "tetra",
        "3": "iteration",
        "alt2": "(itera)tion"
      },
      "expansion": "tetra- + (itera)tion",
      "name": "prefix"
    }
  ],
  "etymology_text": "tetra- + (itera)tion; coined by Reuben Goodstein",
  "forms": [
    {
      "form": "tetrations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "-",
        "2": "s"
      },
      "expansion": "tetration (usually uncountable, plural tetrations)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English 3-syllable words",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms prefixed with tetra-",
        "English terms with IPA pronunciation",
        "English uncountable nouns",
        "Rhymes:English/eɪʃən",
        "Rhymes:English/eɪʃən/3 syllables",
        "Translation table header lacks gloss",
        "en:Arithmetic"
      ],
      "glosses": [
        "The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇa denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ᵇa, a↑↑b or a→b→2"
      ],
      "links": [
        [
          "arithmetic",
          "arithmetic"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "exponentiation",
          "exponentiation"
        ]
      ],
      "raw_glosses": [
        "(arithmetic) The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇa denoting a to the power of a to the power of ... to the power of a, in which a appears b times. Notation: ᵇa, a↑↑b or a→b→2"
      ],
      "tags": [
        "uncountable",
        "usually"
      ],
      "topics": [
        "arithmetic"
      ],
      "wikipedia": [
        "tetration"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/tɛtˈɹeɪʃən/"
    },
    {
      "rhymes": "-eɪʃən"
    }
  ],
  "synonyms": [
    {
      "word": "exponential map"
    },
    {
      "word": "hyper4"
    },
    {
      "word": "hyperpower"
    },
    {
      "word": "power tower"
    },
    {
      "word": "superexponentiation"
    }
  ],
  "translations": [
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "Translations",
      "word": "超-4運算"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "Translations",
      "word": "超-4运算"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "Translations",
      "word": "tetraatio"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "Tetration"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "tetrazione"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Translations",
      "tags": [
        "feminine"
      ],
      "word": "tetracja"
    }
  ],
  "word": "tetration"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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.

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