"超越次數" meaning in Chinese

See 超越次數 in All languages combined, or Wiktionary

Noun

IPA: /ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/ [Mandarin, Sinological-IPA], /ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/ Chinese transliterations: chāoyuè cìshù [Mandarin, Pinyin], ㄔㄠ ㄩㄝˋ ㄘˋ ㄕㄨˋ [Mandarin, bopomofo], chāoyuè cìshù [Hanyu-Pinyin, Mandarin], chaoyuè cìhshù [Mandarin, Tongyong-Pinyin], chʻao¹-yüeh⁴ tzʻŭ⁴-shu⁴ [Mandarin, Wade-Giles], chāu-ywè tsz̀-shù [Mandarin, Yale], chauyueh tsyhshuh [Gwoyeu-Romatsyh, Mandarin], чаоюэ цышу [Mandarin, Palladius], čaojue cyšu [Mandarin, Palladius]
Head templates: {{head|zh|noun}} 超越次數
  1. (algebra, field theory, of a field extension) transcendence degree Categories (topical): Algebra
    Sense id: en-超越次數-zh-noun-D6Bm8iUW Categories (other): Chinese entries with incorrect language header Topics: algebra, mathematics, sciences

Download JSON data for 超越次數 meaning in Chinese (2.4kB)

{
  "head_templates": [
    {
      "args": {
        "1": "zh",
        "2": "noun"
      },
      "expansion": "超越次數",
      "name": "head"
    }
  ],
  "lang": "Chinese",
  "lang_code": "zh",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Chinese entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "zh",
          "name": "Algebra",
          "orig": "zh:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "english": "Particularly, the extension field of K is algebraic if and only if its transcendence degree on K is zero.",
          "ref": "特別,K的擴域是代數的,當且僅當它在K上的超越次數為零。 [MSC, trad.]",
          "text": "特别,K的扩域是代数的,当且仅当它在K上的超越次数为零。 [MSC, simp.]\nFrom: 2003, 朱尧辰 (Zhu Yaochen), 徐广善 (Xu Guangshan), 《超越数引论》 [Introduction to Transcendental Number]\nTèbié, K de kuòyù shì dàishù de, dāngqiějǐndāng tā zài K shàng de chāoyuè cìshù wèi líng. [Pinyin]",
          "type": "example"
        }
      ],
      "glosses": [
        "transcendence degree"
      ],
      "id": "en-超越次數-zh-noun-D6Bm8iUW",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "field extension",
          "field extension"
        ],
        [
          "transcendence degree",
          "transcendence degree"
        ]
      ],
      "qualifier": "field theory",
      "raw_glosses": [
        "(algebra, field theory, of a field extension) transcendence degree"
      ],
      "raw_tags": [
        "of a field extension"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "tags": [
        "Mandarin",
        "Pinyin"
      ],
      "zh-pron": "chāoyuè cìshù"
    },
    {
      "tags": [
        "Mandarin",
        "bopomofo"
      ],
      "zh-pron": "ㄔㄠ ㄩㄝˋ ㄘˋ ㄕㄨˋ"
    },
    {
      "tags": [
        "Hanyu-Pinyin",
        "Mandarin"
      ],
      "zh-pron": "chāoyuè cìshù"
    },
    {
      "tags": [
        "Mandarin",
        "Tongyong-Pinyin"
      ],
      "zh-pron": "chaoyuè cìhshù"
    },
    {
      "tags": [
        "Mandarin",
        "Wade-Giles"
      ],
      "zh-pron": "chʻao¹-yüeh⁴ tzʻŭ⁴-shu⁴"
    },
    {
      "tags": [
        "Mandarin",
        "Yale"
      ],
      "zh-pron": "chāu-ywè tsz̀-shù"
    },
    {
      "tags": [
        "Gwoyeu-Romatsyh",
        "Mandarin"
      ],
      "zh-pron": "chauyueh tsyhshuh"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "чаоюэ цышу"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "čaojue cyšu"
    },
    {
      "ipa": "/ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/",
      "tags": [
        "Mandarin",
        "Sinological-IPA"
      ]
    },
    {
      "ipa": "/ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/"
    }
  ],
  "word": "超越次數"
}
{
  "head_templates": [
    {
      "args": {
        "1": "zh",
        "2": "noun"
      },
      "expansion": "超越次數",
      "name": "head"
    }
  ],
  "lang": "Chinese",
  "lang_code": "zh",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "Chinese entries with incorrect language header",
        "Chinese lemmas",
        "Chinese nouns",
        "Chinese terms with IPA pronunciation",
        "Mandarin lemmas",
        "Mandarin nouns",
        "Mandarin terms with quotations",
        "zh:Algebra"
      ],
      "examples": [
        {
          "english": "Particularly, the extension field of K is algebraic if and only if its transcendence degree on K is zero.",
          "ref": "特別,K的擴域是代數的,當且僅當它在K上的超越次數為零。 [MSC, trad.]",
          "text": "特别,K的扩域是代数的,当且仅当它在K上的超越次数为零。 [MSC, simp.]\nFrom: 2003, 朱尧辰 (Zhu Yaochen), 徐广善 (Xu Guangshan), 《超越数引论》 [Introduction to Transcendental Number]\nTèbié, K de kuòyù shì dàishù de, dāngqiějǐndāng tā zài K shàng de chāoyuè cìshù wèi líng. [Pinyin]",
          "type": "example"
        }
      ],
      "glosses": [
        "transcendence degree"
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "field extension",
          "field extension"
        ],
        [
          "transcendence degree",
          "transcendence degree"
        ]
      ],
      "qualifier": "field theory",
      "raw_glosses": [
        "(algebra, field theory, of a field extension) transcendence degree"
      ],
      "raw_tags": [
        "of a field extension"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "sounds": [
    {
      "tags": [
        "Mandarin",
        "Pinyin"
      ],
      "zh-pron": "chāoyuè cìshù"
    },
    {
      "tags": [
        "Mandarin",
        "bopomofo"
      ],
      "zh-pron": "ㄔㄠ ㄩㄝˋ ㄘˋ ㄕㄨˋ"
    },
    {
      "tags": [
        "Hanyu-Pinyin",
        "Mandarin"
      ],
      "zh-pron": "chāoyuè cìshù"
    },
    {
      "tags": [
        "Mandarin",
        "Tongyong-Pinyin"
      ],
      "zh-pron": "chaoyuè cìhshù"
    },
    {
      "tags": [
        "Mandarin",
        "Wade-Giles"
      ],
      "zh-pron": "chʻao¹-yüeh⁴ tzʻŭ⁴-shu⁴"
    },
    {
      "tags": [
        "Mandarin",
        "Yale"
      ],
      "zh-pron": "chāu-ywè tsz̀-shù"
    },
    {
      "tags": [
        "Gwoyeu-Romatsyh",
        "Mandarin"
      ],
      "zh-pron": "chauyueh tsyhshuh"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "чаоюэ цышу"
    },
    {
      "tags": [
        "Mandarin",
        "Palladius"
      ],
      "zh-pron": "čaojue cyšu"
    },
    {
      "ipa": "/ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/",
      "tags": [
        "Mandarin",
        "Sinological-IPA"
      ]
    },
    {
      "ipa": "/ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/"
    }
  ],
  "word": "超越次數"
}

This page is a part of the kaikki.org machine-readable Chinese dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.