微分

Chinese

		tiny; minute; clandestine tiny; minute; clandestine; hide; elegant; exquisite	to divide; minute; (a measure word) to divide; minute; (a measure word); (a unit of leng)
trad. (微分)		微	分
simp. #(微分)		微	分

Etymology

Coined by Chinese mathematician Li Shanlan as a translation of English differential, literally "small division".

Pronunciation

• Mandarin

  (Pinyin): wēifēn, wéifēn

  (Zhuyin): ㄨㄟ ㄈㄣ, ㄨㄟˊ ㄈㄣ

• Cantonese (Jyutping): mei⁴ fan¹
• Southern Min (Hokkien, POJ): bî-hun

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• Mandarin
  • (Standard Chinese, standard in Mainland)⁺
    • Hanyu Pinyin: wēifēn
    • Zhuyin: ㄨㄟ ㄈㄣ
    • Tongyong Pinyin: weifen
    • Wade–Giles: wei¹-fên¹
    • Yale: wēi-fēn
    • Gwoyeu Romatzyh: ueifen
    • Palladius: вэйфэнь (vɛjfɛnʹ)
    • Sinological IPA ^(key): /weɪ̯⁵⁵ fən⁵⁵/
      
  • (Standard Chinese, standard in Taiwan; dated variant in Mainland)⁺
    • Hanyu Pinyin: wéifēn
    • Zhuyin: ㄨㄟˊ ㄈㄣ
    • Tongyong Pinyin: wéifen
    • Wade–Giles: wei²-fên¹
    • Yale: wéi-fēn
    • Gwoyeu Romatzyh: weifen
    • Palladius: вэйфэнь (vɛjfɛnʹ)
    • Sinological IPA ^(key): /weɪ̯³⁵ fən⁵⁵/
• Cantonese
  • (Standard Cantonese, Guangzhou–Hong Kong)⁺
    • Jyutping: mei⁴ fan¹
    • Yale: mèih fān
    • Cantonese Pinyin: mei⁴ fan¹
    • Guangdong Romanization: méi⁴ fen¹
    • Sinological IPA ^(key): /mei̯²¹ fɐn⁵⁵/
• Southern Min
  • (Hokkien: Quanzhou, General Taiwanese, Xiamen, Zhangzhou)
    • Pe̍h-ōe-jī: bî-hun
    • Tâi-lô: bî-hun
    • Phofsit Daibuun: bi'hwn
    • IPA (Taipei): /bi²⁴⁻¹¹ hun⁴⁴/
    • IPA (Kaohsiung): /bi²³⁻³³ hun⁴⁴/
    • IPA (Quanzhou): /bi²⁴⁻²² hun³³/
    • IPA (Zhangzhou): /bi¹³⁻²² hun⁴⁴/
    • IPA (Xiamen): /bi²⁴⁻²² hun⁴⁴/

Noun

微分

1. (calculus) differential calculus; differentiation
2. (calculus) differential

Derived terms

• 偏微分 (piānwēifēn)
• 全微分 (quánwēifēn)
• 外微分 (wàiwēifēn)
• 微分學／微分学
• 微分幾何／微分几何 (wēifēn jǐhé)
• 微分形式 (wēifēn xíngshì)
• 微分方程 (wēifēn fāngchéng)

 

See also

• 積分／积分 (jīfēn)
• 微積分／微积分 (wēijīfēn)

Japanese

Kanji in this term
微	分
び Grade: S	ぶん Grade: 2
on'yomi

Pronunciation

• (Tokyo) びぶん [bìbúń] (Heiban – [0])
• IPA^(key): [bʲibɯ̟̃ɴ]

Noun

微(び)分(ぶん) • (bibun) 

1. (mathematics) differentiation

Antonyms

• 積分(せきぶん) (sekibun): integration

Verb

微(び)分(ぶん)する • (bibun suru) suru (stem 微(び)分(ぶん)し (bibun shi), past 微(び)分(ぶん)した (bibun shita))

1. to differentiate

Conjugation

Conjugation of "微分する" (See Appendix:Japanese verbs.)

Katsuyōkei ("stem forms")
Mizenkei ("imperfective")	微分し	びぶんし	bibun shi
Ren’yōkei ("continuative")	微分し	びぶんし	bibun shi
Shūshikei ("terminal")	微分する	びぶんする	bibun suru
Rentaikei ("attributive")	微分する	びぶんする	bibun suru
Kateikei ("hypothetical")	微分すれ	びぶんすれ	bibun sure
Meireikei ("imperative")	微分せよ¹ 微分しろ²	びぶんせよ¹ びぶんしろ²	bibun seyo¹ bibun shiro²
Key constructions
Passive	微分される	びぶんされる	bibun sareru
Causative	微分させる 微分さす	びぶんさせる びぶんさす	bibun saseru bibun sasu
Potential	微分できる	びぶんできる	bibun dekiru
Volitional	微分しよう	びぶんしよう	bibun shiyō
Negative	微分しない	びぶんしない	bibun shinai
Negative continuative	微分せず	びぶんせず	bibun sezu
Formal	微分します	びぶんします	bibun shimasu
Perfective	微分した	びぶんした	bibun shita
Conjunctive	微分して	びぶんして	bibun shite
Hypothetical conditional	微分すれば	びぶんすれば	bibun sureba
¹ Written imperative ² Spoken imperative

Korean

Hanja in this term
微	分

Noun

微分 • (mibun) (hangeul 미분)

1. hanja form^? of 미분 (“differential”)

Vietnamese

chữ Hán Nôm in this term
微	分

Noun

微分

1. chữ Hán form of vi phân (“differential”).