代數

See also: 代数

Chinese

		substitute; replace; generation substitute; replace; generation; dynasty; geological era; era; age; period	number; figure; to count number; figure; to count; to calculate; several; frequently; repeatedly
trad. (代數)		代	數
simp. (代数)		代	数

Etymology

Coined by the Qing dynasty mathematician Li Shanlan in 1859 as a translation of English algebra, literally "(symbols) representing numbers".

Pronunciation

Mandarin
(Pinyin): dàishù

(Zhuyin): ㄉㄞˋ ㄕㄨˋ
Cantonese (Jyutping): doi⁶ sou³
Southern Min (Hokkien, POJ): tāi-sò͘

Mandarin
- (Standard Chinese)⁺
  - Hanyu Pinyin: dàishù
  - Zhuyin: ㄉㄞˋ ㄕㄨˋ
  - Tongyong Pinyin: dàishù
  - Wade–Giles: tai⁴-shu⁴
  - Yale: dài-shù
  - Gwoyeu Romatzyh: dayshuh
  - Palladius: дайшу (dajšu)
  - Sinological IPA ^(key): /taɪ̯⁵¹⁻⁵³ ʂu⁵¹/
Cantonese
- (Standard Cantonese, Guangzhou–Hong Kong)⁺
  - Jyutping: doi⁶ sou³
  - Yale: doih sou
  - Cantonese Pinyin: doi⁶ sou³
  - Guangdong Romanization: doi⁶ sou³
  - Sinological IPA ^(key): /tɔːi̯²² sou̯³³/
Southern Min
- (Hokkien)
  - Pe̍h-ōe-jī: tāi-sò͘
  - Tâi-lô: tāi-sòo
  - Phofsit Daibuun: daixsox
  - IPA (Xiamen): /tai²²⁻²¹ sɔ²¹/
  - IPA (Quanzhou): /tai⁴¹⁻²² sɔ⁴¹/
  - IPA (Zhangzhou): /tai²²⁻²¹ sɔ²¹/
  - IPA (Taipei): /tai³³⁻¹¹ sɔ¹¹/
  - IPA (Kaohsiung): /tai³³⁻²¹ sɔ²¹/

Noun

代數

(mathematics) algebra

Synonyms

代數學／代数学 (dàishùxué)
(Dungan) алгебра

Adjective

代數

(mathematics) algebraic
代數數／代数数 ― dàishùshù ― algebraic number
- 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.

Antonyms

超越 (chāoyuè)

Derived terms

代數函數 / 代数函数 (dàishù hánshù)
代數學 / 代数学 (dàishùxué)
代數幾何 / 代数几何 (dàishù jǐhé)
代數式 / 代数式 (dàishùshì)
代數數 / 代数数 (dàishùshù)
代數整數 / 代数整数 (dàishù zhěngshù)
代數數論 / 代数数论 (dàishùshùlùn)
代數方程 / 代数方程 (dàishù fāngchéng)
代數無關 / 代数无关
代數相關 / 代数相关
抽象代數 / 抽象代数 (chōuxiàng dàishù)
抽象代數學 / 抽象代数学 (chōuxiàng dàishùxué)
線性代數 / 线性代数 (xiànxìng dàishù)

Descendants

Sino-Xenic (代數):

→ Japanese: 代数(だいすう) (daisū)
→ Korean: 대수(代數) (daesu)
→ Vietnamese: đại số (代數)

Japanese

Kanji in this term
代	數
だい Grade: 3	すう Hyōgai
on'yomi

Noun

代(だい)數(すう) • (daisū)

Kyūjitai form of 代数 (“algebra”)

Korean

Hanja in this term
代	數

Noun

代數 • (daesu) (hangeul 대수)

hanja form^? of 대수 (“algebra”)

Vietnamese

chữ Hán Nôm in this term
代	數

Noun

代數

chữ Hán form of đại số (“(mathematics) algebra”)