大数名词
下表列出一些可以在许多英语字典发现的大数名稱,因此是“真實的單字”。其中顯示的“英國傳統”價值在美式英語中未被使用,而在英式英語中也已經過時,但在非英語區域,包括歐洲大陸和拉丁美洲的西班牙語國家,其他語言變體占主導地位;這兩種命名方式分別稱為短級差和長級差系統。
本條目列出并讨论西方國家常用大数名词的用法和来源,及其可能的扩展。
标准字典中的大数名稱
名称 | 短級差 (美国, 东欧, 加拿大和 澳大利亚英语 以及现代英语) |
長級差 (西欧中欧, 老式英语, 和加拿大法语) |
权威性 | ||||||||
---|---|---|---|---|---|---|---|---|---|---|---|
AHD4 [1] |
CED [2] |
COD [3] |
OED2 [4] |
OEDnew [5] |
RHD2 [6] |
SOED3 [7] |
W3 [8] |
UM [9] | |||
Million | 106 | 106 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Milliard | 109 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Billion | 109 | 1012 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Billiard | 1015 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Trillion | 1012 | 1018 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Quadrillion | 1015 | 1024 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Quintillion | 1018 | 1030 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Sextillion | 1021 | 1036 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Septillion | 1024 | 1042 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Octillion | 1027 | 1048 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Nonillion | 1030 | 1054 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Decillion | 1033 | 1060 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Undecillion | 1036 | 1066 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Duodecillion | 1039 | 1072 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Tredecillion | 1042 | 1078 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Quattuordecillion | 1045 | 1084 | ✓ | ✓ | ✓ | ✓ | |||||
Quindecillion | 1048 | 1090 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Sexdecillion | 1051 | 1096 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Septendecillion | 1054 | 10102 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Octodecillion | 1057 | 10108 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Novemdecillion | 1060 | 10114 | ✓ | ✓ | ✓ | ✓ | ✓ | ||||
Vigintillion | 1063 | 10120 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | |
Centillion | 10303 | 10600 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
除了「million」(百万)以外,这个列表中的每個以「-illion」结尾的字,都是透过加入前缀(来自拉丁语的bi-、tri-等等)結合词干「-illion」產生的派生字。[10]「Centillion」似乎是这些字典裡以「-illion」作结尾的最大數名。[11] 「Trigintillion」雖然经常在討論大數名稱被引用作为一个单字,但並未出現在上述任何字典裡;而利用它所创造的更長大數名稱也一樣(例如 unvigintillion、duovigintillion、duoquinquagintillion 等等)。
名称 | 值 | 权威性 | ||||||||
---|---|---|---|---|---|---|---|---|---|---|
AHD4 | CED | COD | OED2 | OEDnew | RHD2 | SOED3 | W3 | UM | ||
Googol | 10100 | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Googolplex | 10googol(1010100) | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
Googolplexian | 10googolplex | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ |
所有的字典都有收錄 googol(古戈尔)和 googolplex(古戈尔普勒克斯),一般歸功於卡司尼尔和纽曼的书和卡司尼尔的侄子。在古戈尔家族(googolduplex等等),没有比他们更高的名稱。根据《牛津英语词典》的記載,googol、googolplex 和googolplexian是「不在正式的数学使用」的词语。此外,還有googolplexianth等。
二進制前綴大數名稱
幂 | 值 | ISQ 符号 |
ISQ 前缀 |
---|---|---|---|
1 | 10241 | Ki | Kibi- |
2 | 10242 | Mi | Mebi- |
3 | 10243 | Gi | Gibi- |
4 | 10244 | Ti | Tebi- |
5 | 10245 | Pi | Pebi- |
6 | 10246 | Ei | Exbi- |
7 | 10247 | Zi | Zebi- |
8 | 10248 | Yi | Yobi- |
參考資料
- . American Heritage Dictionary 4th. ISBN 0-395-82517-2. (原始内容存档于2007-01-12).
- Collins English Dictionary 页面存档备份,存于, 11th Edition, HarperCollins Publishers.
- Cambridge Dictionaries Online 页面存档备份,存于, Cambridge, UK: Cambridge University Press.
- Oxford Dictionary, 2nd edition, Oxford, UK: Oxford University Press.
- Oxford English Dictionary, New Edition, Oxford, UK: Oxford University Press. 页面存档备份,存于 (subscription required), checked April 2007
- The Random House Dictionary, 2nd Unabridged Edition, 1987, Random House.
- Shorter Oxford English Dictionary, 3rd edition, 1993, Oxford: Clarendon Press.
- Webster's Third New International Dictionary, Unabridged, 1993, Merriam-Webster.
- . Russ Rowlett and the University of North Carolina at Chapel Hill. [2009-08-15]. (原始内容存档于2018-10-06).
- p. 316, The History of the English Language, Oliver Farrar Emerson, New York, London: Macmillan and Co., 1894.
- . [2018-10-24]. (原始内容存档于2009-03-02).
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.