超越次數

Chinese

		to exceed; to surpass; to transcend to exceed; to surpass; to transcend; to surmount; to overstep the bounds; to go beyond one's role	frequency; order of a monomial or polynomial
trad. (超越次數)		超越	次數
simp. (超越次数)		超越	次数

Pronunciation

Mandarin
(Pinyin): chāoyuè cìshù

(Zhuyin): ㄔㄠㄩㄝˋ ㄘˋ ㄕㄨˋ

Mandarin
- (Standard Chinese)⁺
  - Hanyu Pinyin: chāoyuè cìshù
  - Zhuyin: ㄔㄠㄩㄝˋ ㄘˋ ㄕㄨˋ
  - Tongyong Pinyin: chaoyuè cìhshù
  - Wade–Giles: chʻao¹-yüeh⁴ tzʻŭ⁴-shu⁴
  - Yale: chāu-ywè tsz̀-shù
  - Gwoyeu Romatzyh: chauyueh tsyhshuh
  - Palladius: чаоюэ цышу (čaojue cyšu)
  - Sinological IPA ^(key): /ʈ͡ʂʰɑʊ̯⁵⁵ ɥɛ⁵¹⁻⁵³ t͡sʰz̩⁵¹⁻⁵³ ʂu⁵¹/

Noun

超越次數

(algebra, field theory, of a field extension) transcendence degree
- 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.]
  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.]
  From: 2003, 朱尧辰 (Zhu Yaochen), 徐广善 (Xu Guangshan), 《超越数引论》 [Introduction to Transcendental Number]
  Tèbié, K de kuòyù shì dàishù de, dāngqiějǐndāng tā zài K shàng de chāoyuè cìshù wèi líng. [Pinyin]
  Particularly, the extension field of K is algebraic if and only if its transcendence degree on K is zero.

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