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
    • Sinological IPA (Xiamen): /tai²²⁻²¹ sɔ²¹/
    • Sinological IPA (Quanzhou): /tai⁴¹⁻²² sɔ⁴¹/
    • Sinological IPA (Zhangzhou): /tai²²⁻²¹ sɔ²¹/
    • Sinological IPA (Taipei): /tai³³⁻¹¹ sɔ¹¹/
    • Sinological IPA (Kaohsiung): /tai³³⁻²¹ sɔ²¹/

Noun

代數

1. (mathematics) algebra

Synonyms

• 代數學／代数学 (dàishùxué)
• (Dungan) алгебра

Adjective

代數

1. (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) 

1. Kyūjitai form of 代数 (“algebra”)

Korean

Hanja in this term
代	數

Noun

代數 • (daesu) (hangeul 대수)

1. hanja form^? of 대수 (“algebra”)

Vietnamese

chữ Hán Nôm in this term
代	數

Noun

代數

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