冪

See also: 幂 and 羃

冪	U+51AA, 冪 CJK UNIFIED IDEOGRAPH-51AA

← 冩
[U+51A9]

CJK Unified Ideographs

冫 →
[U+51AB]

Translingual

Han character

冪 (Kangxi radical 14, 冖+14, 16 strokes, cangjie input 月廿日月 (BTAB), four-corner 3722₇, composition ⿱冖幕)

References

Kangxi Dictionary: page 131, character 9
Dai Kanwa Jiten: character 1601
Dae Jaweon: page 294, character 5
Hanyu Da Zidian (first edition): volume 1, page 306, character 5
Unihan data for U+51AA

Chinese

trad.		冪
simp.		幂

Glyph origin

Characters in the same phonetic series (冖) (Zhengzhang, 2003)

	Old Chinese
冟	*hmjeɡ
冖	*meːɡ
冪	*meːɡ
羃	*meːɡ
濗	*meːɡ
鼏	*meːɡ

Originally written as 幎: Phono-semantic compound (形聲 / 形声, OC *meːɡ): semantic 巾 (“cloth”) + phonetic 冥 (OC *meːŋ); Xu Shen indicates that the character 幎 means "幔", "tent" (today written as 帷幕).

Later the 六 was corrupted to 大 and the radical was written under the character, thus it became 幂.

艹 was added to form a new phono-semantic compound (形聲 / 形声, OC *meːɡ): semantic 巾 (“cloth”) + phonetic 幕 (OC *maːɡ).

Pronunciation

Mandarin
(Pinyin): mì (mi⁴)

(Zhuyin): ㄇㄧˋ
Cantonese (Jyutping): mik⁶

Mandarin
- (Standard Chinese)⁺
  - Hanyu Pinyin: mì
  - Zhuyin: ㄇㄧˋ
  - Tongyong Pinyin: mì
  - Wade–Giles: mi⁴
  - Yale: mì
  - Gwoyeu Romatzyh: mih
  - Palladius: ми (mi)
  - Sinological IPA ^(key): /mi⁵¹/
Cantonese
- (Standard Cantonese, Guangzhou–Hong Kong)
  - Jyutping: mik⁶
  - Yale: mihk
  - Cantonese Pinyin: mik⁹
  - Guangdong Romanization: mig⁶
  - Sinological IPA ^(key): /mɪk̚²/

Middle Chinese: mek

Rime
Character	冪
Reading #	1/1
Initial (聲)	明 (4)
Final (韻)	錫 (127)
Tone (調)	Checked (Ø)
Openness (開合)	Open
Division (等)	IV
Fanqie	莫狄切
Baxter	mek
Reconstructions
Zhengzhang Shangfang	/mek̚/
Pan Wuyun	/mek̚/
Shao Rongfen	/mɛk̚/
Edwin Pulleyblank	/mɛjk̚/
Li Rong	/mek̚/
Wang Li	/miek̚/
Bernhard Karlgren	/miek̚/
Expected Mandarin Reflex	mì
Expected Cantonese Reflex	mik⁶

Old Chinese
(Baxter–Sagart): /*mˤ[e]k/

(Zhengzhang): /*meːɡ/

Baxter–Sagart system 1.1 (2014)
Character	冪
Reading #	1/1
Modern Beijing (Pinyin)	mì
Middle Chinese	‹ mek ›
Old Chinese	/*mˁ[e]k/
English	cover
Notes for Old Chinese notations in the Baxter–Sagart system: * Parentheses "()" indicate uncertain presence; * Square brackets "[]" indicate uncertain identity, e.g. [t] as coda may in fact be -t or -p; Angle brackets "<>" indicate infix; * Hyphen "-" indicates morpheme boundary; * Period "." indicates syllable boundary.

Zhengzhang system (2003)
Character	冪
Reading #	1/1
No.	9020
Phonetic component	冖
Rime group	錫
Rime subdivision	0
Corresponding MC rime	覓
Old Chinese	/*meːɡ/
Notes	同冖見禮記

Definitions

冪

Compounds

三次冪 / 三次幂
乘冪 / 乘幂 (chéngmì)
冪冪 / 幂幂
冪函數 / 幂函数 (mìhánshù)
冪定律 / 幂定律
冪律 / 幂律
冪等 / 幂等
冪級數 / 幂级数
冪䍦 / 幂䍠
冪零 / 幂零
升冪 / 升幂 (shēngmì)
升冪級數 / 升幂级数
圓冪 / 圆幂
降冪 / 降幂 (jiàngmì)
降冪排列 / 降幂排列
雲冪 / 云幂

Japanese

Kanji

冪

(Hyōgai kanji)

Readings

Go-on: みゃく (myaku)
Kan-on: べき (beki)
Kun: おおい (ōi)、ふきん (fukin)

Etymology

Kanji in this term
冪
べき Hyōgai
on'yomi

Pronunciation

(Tokyo) べき [béꜜkì] (Atamadaka – [1])^[1]
IPA^(key): [be̞kʲi]

Noun

冪(べき) • (beki)

(mathematics) a power

Synonyms

冪乗(べきじょう) (bekijō)

References

^ Matsumura, Akira, editor (2006), 大辞林 [Daijirin] (in Japanese), Third edition, Tokyo: Sanseidō, →ISBN

Korean

Hanja

冪 • (myeok) (hangeul 멱, revised myeok, McCune–Reischauer myŏk)

This term needs a translation to English. Please help out and add a translation, then remove the text {{rfdef}}.

Vietnamese

Han character

冪: Hán Việt readings: mịch, mạc

conceal; cloak.

[DJR-1] Matsumura, Akira, editor (2006), 大辞林 [Daijirin] (in Japanese), Third edition, Tokyo: Sanseidō, →ISBN

[1]