代數

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
• Min Nan (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)⁺
    • Jyutping: doi⁶ sou³
    • Yale: doih sou
    • Cantonese Pinyin: doi⁶ sou³
    • Guangdong Romanization: doi⁶ sou³
    • Sinological IPA ^(key): /tɔːi̯²² sou̯³³/
• Min Nan
  • (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

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) 代數整數／代数整数 (dàishù zhěngshù) 代數數／代数数 (dàishùshù) 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 Hyōgaiji
on’yomi

Noun

代(だい)數(すう) • (daisū)  (kyūjitai, shinjitai 代数)

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

Hán tự in this term
代	數

Noun

代數

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