積分

See also: 积分

Chinese

		to amass; to accumulate; to store to amass; to accumulate; to store; old; long-standing	to divide; minute; (a measure word) to divide; minute; (a measure word); (a unit of leng)
trad. (積分)		積	分
simp. (积分)		积	分

Etymology

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

Pronunciation

• Mandarin

  (Pinyin): jīfēn

  (Zhuyin): ㄐㄧ ㄈㄣ

• Cantonese (Jyutping): zik¹ fan¹
• Southern Min

  (Hokkien, POJ): chek-hun

  (Teochew, Peng'im): zêh⁴ hung¹

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• Mandarin
  • (Standard Chinese)⁺
    • Hanyu Pinyin: jīfēn
    • Zhuyin: ㄐㄧ ㄈㄣ
    • Tongyong Pinyin: jifen
    • Wade–Giles: chi¹-fên¹
    • Yale: jī-fēn
    • Gwoyeu Romatzyh: jifen
    • Palladius: цзифэнь (czifɛnʹ)
    • Sinological IPA ^(key): /t͡ɕi⁵⁵ fən⁵⁵/
• Cantonese
  • (Standard Cantonese, Guangzhou–Hong Kong)⁺
    • Jyutping: zik¹ fan¹
    • Yale: jīk fān
    • Cantonese Pinyin: dzik⁷ fan¹
    • Guangdong Romanization: jig¹ fen¹
    • Sinological IPA ^(key): /t͡sɪk̚⁵ fɐn⁵⁵/
• Southern Min
  • (Hokkien: Xiamen, General Taiwanese)
    • Pe̍h-ōe-jī: chek-hun
    • Tâi-lô: tsik-hun
    • Phofsit Daibuun: zekhwn
    • IPA (Xiamen, Taipei, Kaohsiung): /t͡siɪk̚³²⁻⁴ hun⁴⁴/
  • (Teochew)
    • Peng'im: zêh⁴ hung¹
    • Pe̍h-ōe-jī-like: tseh hung
    • Sinological IPA ^(key): /t͡seʔ²⁻⁴ huŋ³³/

Noun

積分

1. (calculus) integral calculus; integration
2. (calculus) integral
3. total points, aggregate score

Derived terms

• 不定積分／不定积分 (bùdìng jīfēn)
• 反常積分／反常积分
• 定積分／定积分 (dìng jīfēn)
• 瑕積分／瑕积分
• 積分學／积分学
• 重積分／重积分 (chóngjīfēn)

 

See also

• 微分 (wēifēn)
• 微積分／微积分 (wēijīfēn)

Japanese

Kanji in this term
積	分
せき Grade: 4	ぶん Grade: 2
on’yomi

Pronunciation

• (Tokyo) せきぶん [sèkíbúń] (Heiban – [0])
• IPA^(key): [se̞kʲibɯ̟̃ᵝɴ]

Noun

積(せき)分(ぶん) • (sekibun) 

1. (mathematics) integration

Antonyms

• 微分(びぶん) (bibun)

Korean

Hanja in this term
積	分

Noun

積分 • (jeokbun) (hangeul 적분)

1. Hanja form^? of 적분 (“integral”).

Vietnamese

chữ Hán Nôm in this term
積	分

Noun

積分

1. chữ Hán form of tích phân (“integral”).