冪

See also: 幂 and 羃

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

← 冩
[U+51A9]

CJK Unified Ideographs

冫 →
[U+51AB]

Translingual edit

Han character edit

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

References edit

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 edit

trad.		冪
simp.		幂

Glyph origin edit

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).

Later the 六 was corrupted to 大 and the character 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 edit

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)	青 (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/
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 edit

冪

Compounds edit

三次冪／三次幂
乘冪／乘幂
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 (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 edit

Kanji edit

冪

(uncommon “Hyōgai” kanji)

Readings edit

Etymology edit

Kanji in this term
冪
べき Hyōgaiji
on’yomi

This etymology is missing or incomplete. Please add to it, or discuss it at the Etymology scriptorium.
Particularly: “「冪」の字義は「覆う、覆うもの」である。江戸時代の和算家は冪の略字として「巾」を用いていた。第二次世界大戦後の漢字制限政策のもと、これらの字は常用漢字・当用漢字に含まれず、1950年代以降の学習参考書などの出版物では仮名書きまたは「累乗」への書き換えが進められ、結果として初等数学の教科書ではもっぱら「累乗」が用いられた。「累乗」の字義は「重ね掛けた乗算」であり、自然数乗以外の冪に対して用いることは字義からすればあまり自然でない。”

Pronunciation edit

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

Noun edit

冪(べき) • (beki)

(mathematics) a power

Synonyms edit

冪乗(べきじょう) (bekijō)

References edit

^ Matsumura, Akira, editor (2006), 大辞林 (in Japanese), Third edition, Tōkyō: Sanseidō, →ISBN

Korean edit

Hanja edit

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}}.

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

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