"transcendental number" meaning in English

See transcendental number in All languages combined, or Wiktionary

Noun

Forms: transcendental numbers [plural]
Head templates: {{en-noun}} transcendental number (plural transcendental numbers)
  1. (mathematics) any irrational number that is not an algebraic number Wikipedia link: transcendental number Categories (topical): Mathematics, Numbers Hypernyms: irrational number Hyponyms: pi, e, Liouville number Translations (irrational nonalgebraic number): transsendent ədəd (Azerbaijani), তুরীয় সংখ্যা (turiẏo śoṅkha) (Bengali), 超越數 (Chinese Mandarin), 超越数 (chāoyuèshù) (Chinese Mandarin), трансцендентлӑ хисеп (transtsendentlă h̬is̬ep) (Chuvash), transcendent getal [neuter] (Dutch), transsendenttiluku (Finnish), transkendenttiluku (Finnish), nombre transcendant [masculine] (French), número transcendente [masculine] (Galician), ტრანსცენდენტური რიცხვი (ṭranscendenṭuri ricxvi) (Georgian), transzendente Zahl [feminine] (German), प्रागनुभविक संख्या (prāgnubhvik saṅkhyā) [feminine] (Hindi), transzcendens szám (Hungarian), torræð tala [feminine] (Icelandic), 超越数 (chōetsusū) (alt: ちょうえつすう) (Japanese), трансцендент сан (transsendent san) (Kazakh), 초월수 (chowolsu) (alt: 超越數) (Korean), numerus transcendens [masculine] (Latin), numerus transcendentalis [masculine] (Latin), اعداد متعالی (Persian), liczba przestępna [feminine] (Polish), трансценде́нтное число́ (transcendéntnoje čisló) [neuter] (Russian), transcendental nummer (Scots), transcendentni broj [masculine] (Serbo-Croatian), transcendent tal [neuter] (Swedish), igpawing bilang (Tagalog), трансцендентне число (transcendentne čyslo) [neuter] (Ukrainian), rhif trosgynnol [masculine] (Welsh)

Inflected forms

Download JSON data for transcendental number meaning in English (5.8kB)

{
  "antonyms": [
    {
      "word": "algebraic number"
    }
  ],
  "forms": [
    {
      "form": "transcendental numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "transcendental number (plural transcendental numbers)",
      "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"
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          "source": "w"
        },
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        },
        {
          "kind": "other",
          "name": "Mandarin terms with redundant transliterations",
          "parents": [
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        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
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            "Sciences",
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Numbers",
          "orig": "en:Numbers",
          "parents": [
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            "Terms by semantic function",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "any irrational number that is not an algebraic number"
      ],
      "hypernyms": [
        {
          "word": "irrational number"
        }
      ],
      "hyponyms": [
        {
          "word": "pi"
        },
        {
          "word": "e"
        },
        {
          "word": "Liouville number"
        }
      ],
      "id": "en-transcendental_number-en-noun-cCb9yIWq",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "irrational number",
          "irrational number"
        ],
        [
          "algebraic number",
          "algebraic number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) any irrational number that is not an algebraic number"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "az",
          "lang": "Azerbaijani",
          "sense": "irrational nonalgebraic number",
          "word": "transsendent ədəd"
        },
        {
          "code": "bn",
          "lang": "Bengali",
          "roman": "turiẏo śoṅkha",
          "sense": "irrational nonalgebraic number",
          "word": "তুরীয় সংখ্যা"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "sense": "irrational nonalgebraic number",
          "word": "超越數"
        },
        {
          "code": "cmn",
          "lang": "Chinese Mandarin",
          "roman": "chāoyuèshù",
          "sense": "irrational nonalgebraic number",
          "word": "超越数"
        },
        {
          "code": "cv",
          "lang": "Chuvash",
          "roman": "transtsendentlă h̬is̬ep",
          "sense": "irrational nonalgebraic number",
          "word": "трансцендентлӑ хисеп"
        },
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "neuter"
          ],
          "word": "transcendent getal"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "irrational nonalgebraic number",
          "word": "transsendenttiluku"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "irrational nonalgebraic number",
          "word": "transkendenttiluku"
        },
        {
          "code": "fr",
          "lang": "French",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "masculine"
          ],
          "word": "nombre transcendant"
        },
        {
          "code": "gl",
          "lang": "Galician",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "masculine"
          ],
          "word": "número transcendente"
        },
        {
          "code": "ka",
          "lang": "Georgian",
          "roman": "ṭranscendenṭuri ricxvi",
          "sense": "irrational nonalgebraic number",
          "word": "ტრანსცენდენტური რიცხვი"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "feminine"
          ],
          "word": "transzendente Zahl"
        },
        {
          "code": "hi",
          "lang": "Hindi",
          "roman": "prāgnubhvik saṅkhyā",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "feminine"
          ],
          "word": "प्रागनुभविक संख्या"
        },
        {
          "code": "hu",
          "lang": "Hungarian",
          "sense": "irrational nonalgebraic number",
          "word": "transzcendens szám"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "feminine"
          ],
          "word": "torræð tala"
        },
        {
          "alt": "ちょうえつすう",
          "code": "ja",
          "lang": "Japanese",
          "roman": "chōetsusū",
          "sense": "irrational nonalgebraic number",
          "word": "超越数"
        },
        {
          "code": "kk",
          "lang": "Kazakh",
          "roman": "transsendent san",
          "sense": "irrational nonalgebraic number",
          "word": "трансцендент сан"
        },
        {
          "alt": "超越數",
          "code": "ko",
          "lang": "Korean",
          "roman": "chowolsu",
          "sense": "irrational nonalgebraic number",
          "word": "초월수"
        },
        {
          "code": "la",
          "lang": "Latin",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "masculine"
          ],
          "word": "numerus transcendens"
        },
        {
          "code": "la",
          "lang": "Latin",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "masculine"
          ],
          "word": "numerus transcendentalis"
        },
        {
          "code": "fa",
          "lang": "Persian",
          "sense": "irrational nonalgebraic number",
          "word": "اعداد متعالی"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "feminine"
          ],
          "word": "liczba przestępna"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "transcendéntnoje čisló",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "neuter"
          ],
          "word": "трансценде́нтное число́"
        },
        {
          "code": "sco",
          "lang": "Scots",
          "sense": "irrational nonalgebraic number",
          "word": "transcendental nummer"
        },
        {
          "code": "sh",
          "lang": "Serbo-Croatian",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "masculine"
          ],
          "word": "transcendentni broj"
        },
        {
          "code": "sv",
          "lang": "Swedish",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "neuter"
          ],
          "word": "transcendent tal"
        },
        {
          "code": "tl",
          "lang": "Tagalog",
          "sense": "irrational nonalgebraic number",
          "word": "igpawing bilang"
        },
        {
          "code": "uk",
          "lang": "Ukrainian",
          "roman": "transcendentne čyslo",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "neuter"
          ],
          "word": "трансцендентне число"
        },
        {
          "code": "cy",
          "lang": "Welsh",
          "sense": "irrational nonalgebraic number",
          "tags": [
            "masculine"
          ],
          "word": "rhif trosgynnol"
        }
      ],
      "wikipedia": [
        "transcendental number"
      ]
    }
  ],
  "word": "transcendental number"
}
{
  "antonyms": [
    {
      "word": "algebraic number"
    }
  ],
  "forms": [
    {
      "form": "transcendental numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
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      "args": {},
      "expansion": "transcendental number (plural transcendental numbers)",
      "name": "en-noun"
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  "hypernyms": [
    {
      "word": "irrational number"
    }
  ],
  "hyponyms": [
    {
      "word": "pi"
    },
    {
      "word": "e"
    },
    {
      "word": "Liouville number"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "Mandarin terms with redundant transliterations",
        "en:Mathematics",
        "en:Numbers"
      ],
      "glosses": [
        "any irrational number that is not an algebraic number"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "irrational number",
          "irrational number"
        ],
        [
          "algebraic number",
          "algebraic number"
        ]
      ],
      "raw_glosses": [
        "(mathematics) any irrational number that is not an algebraic number"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "transcendental number"
      ]
    }
  ],
  "translations": [
    {
      "code": "az",
      "lang": "Azerbaijani",
      "sense": "irrational nonalgebraic number",
      "word": "transsendent ədəd"
    },
    {
      "code": "bn",
      "lang": "Bengali",
      "roman": "turiẏo śoṅkha",
      "sense": "irrational nonalgebraic number",
      "word": "তুরীয় সংখ্যা"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "irrational nonalgebraic number",
      "word": "超越數"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "chāoyuèshù",
      "sense": "irrational nonalgebraic number",
      "word": "超越数"
    },
    {
      "code": "cv",
      "lang": "Chuvash",
      "roman": "transtsendentlă h̬is̬ep",
      "sense": "irrational nonalgebraic number",
      "word": "трансцендентлӑ хисеп"
    },
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "neuter"
      ],
      "word": "transcendent getal"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "irrational nonalgebraic number",
      "word": "transsendenttiluku"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "irrational nonalgebraic number",
      "word": "transkendenttiluku"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "masculine"
      ],
      "word": "nombre transcendant"
    },
    {
      "code": "gl",
      "lang": "Galician",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "masculine"
      ],
      "word": "número transcendente"
    },
    {
      "code": "ka",
      "lang": "Georgian",
      "roman": "ṭranscendenṭuri ricxvi",
      "sense": "irrational nonalgebraic number",
      "word": "ტრანსცენდენტური რიცხვი"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "feminine"
      ],
      "word": "transzendente Zahl"
    },
    {
      "code": "hi",
      "lang": "Hindi",
      "roman": "prāgnubhvik saṅkhyā",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "feminine"
      ],
      "word": "प्रागनुभविक संख्या"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "irrational nonalgebraic number",
      "word": "transzcendens szám"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "feminine"
      ],
      "word": "torræð tala"
    },
    {
      "alt": "ちょうえつすう",
      "code": "ja",
      "lang": "Japanese",
      "roman": "chōetsusū",
      "sense": "irrational nonalgebraic number",
      "word": "超越数"
    },
    {
      "code": "kk",
      "lang": "Kazakh",
      "roman": "transsendent san",
      "sense": "irrational nonalgebraic number",
      "word": "трансцендент сан"
    },
    {
      "alt": "超越數",
      "code": "ko",
      "lang": "Korean",
      "roman": "chowolsu",
      "sense": "irrational nonalgebraic number",
      "word": "초월수"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "masculine"
      ],
      "word": "numerus transcendens"
    },
    {
      "code": "la",
      "lang": "Latin",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "masculine"
      ],
      "word": "numerus transcendentalis"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "sense": "irrational nonalgebraic number",
      "word": "اعداد متعالی"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "feminine"
      ],
      "word": "liczba przestępna"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "transcendéntnoje čisló",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "neuter"
      ],
      "word": "трансценде́нтное число́"
    },
    {
      "code": "sco",
      "lang": "Scots",
      "sense": "irrational nonalgebraic number",
      "word": "transcendental nummer"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "masculine"
      ],
      "word": "transcendentni broj"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "neuter"
      ],
      "word": "transcendent tal"
    },
    {
      "code": "tl",
      "lang": "Tagalog",
      "sense": "irrational nonalgebraic number",
      "word": "igpawing bilang"
    },
    {
      "code": "uk",
      "lang": "Ukrainian",
      "roman": "transcendentne čyslo",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "neuter"
      ],
      "word": "трансцендентне число"
    },
    {
      "code": "cy",
      "lang": "Welsh",
      "sense": "irrational nonalgebraic number",
      "tags": [
        "masculine"
      ],
      "word": "rhif trosgynnol"
    }
  ],
  "word": "transcendental number"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.