冪

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: 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, OC *meːɡ) : semantic 巾 (“cloth”) + phonetic 冥 (OC *meːŋ).

Later the 六 was corrupted to 大 and the character became 幂.

艹 was added to form a new phono-semantic compound (形聲, 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)⁺
    • Jyutping: mik⁶
    • Yale: mihk
    • Cantonese Pinyin: mik⁹
    • Guangdong Romanization: mig⁶
    • Sinological IPA ^(key): /mɪk̚²/

---

• Middle Chinese: /mek̚/

Rime
Character	冪
Reading #	1/1
Initial (聲)	明 (4)
Final (韻)	青 (127)
Tone (調)	Checked (Ø)
Openness (開合)	Open
Division (等)	IV
Fanqie	莫狄切
Reconstructions
Zhengzhang Shangfang	/mek̚/
Pan Wuyun	/mek̚/
Shao Rongfen	/mɛk̚/
Edwin Pulleyblank	/mɛjk̚/
Li Rong	/mek̚/
Wang Li	/miek̚/
Bernard 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

1. to cover with cloth
2. cloth cover
3. (mathematics) power

Compounds

三次冪／三次幂 乘冪／乘幂 冪䍦／幂䍦 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

(uncommon “Hyōgai” kanji)

Readings

• Go-on: みゃく (myaku)
• Kan-on: べき (beki)
• Kun: おおい (ooi), ふきん (fukin)

Etymology

Kanji in this term
冪
べき Hyōgaiji
on’yomi

Pronunciation

• On’yomi
• (Tokyo) べ​き [béꜜkì] (Atamadaka – [1])[1]
• IPA^(key): [be̞kʲi]

Noun

冪(べき) • (beki) 

1. (mathematics) a power

Synonyms

• 冪乗(べきじょう) (bekijō)

References

1. 2006, 大辞林 (Daijirin), Third Edition (in Japanese), Tōkyō: Sanseidō, →ISBN

---

Korean

Hanja

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

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