Large Numbers -- Notes (page 6) at MROB

Footnotes

1 : C. R. Steevens, personal communication.

2 : "Collatz mappings" are described here and also in the book "CRC Concise Encyclopedia of Mathematics".

3 : http://www.numericana.com/answer/units.htm#prefix G{'e}rard P. Michon's Numericana, Final Answers — Measurements and Units. (Has lots of details about real and bogus SI prefixes) (formerly at http://home.att.net/~numericana/answer/units.htm)

4 : http://groups.google.com/group/sci.math/browse_thread/thread/b6b75e8a51ba00a2/e3d0868922d3fc30 Alex Lopez-Ortiz, sci.math FAQ: Name of Large Numbers, "version 7.0", Nov 20, 1995.

5 : Wikipedia, discussion page for Names of large numbers (accessed on 2010 Feb 26^th).

6 : Bulletino di Bibliographia e di Storia delle Scienze matematiche e fisische. — Bologna volumes XIII, 1880, ISSN 9012-9458.

7 : Wikipedia, Long and short scales.

8 : http://www.linguistlist.org/issues/7/7-451.html Bernard Comrie, "billion: summary", message posted to LINGUIST List, 1996.

9 : Le Nouveau Petit Robert (1993 edition), entry for the word billion (page 223); entry for the word trillion (page 2312)

10 : Jim Blowers, Extended System of Units, web page, 2002. http://jimvb.home.mindspring.com/unitsystem.htm.

11 : http://groups.google.com/group/sci.answers/browse_thread/thread/6cfbc3688fcbe192/d5ad476584d024b5 Alex Lopez-Ortiz, sci.math FAQ: Name of Large Numbers, "version 7.5", Feb 27 1998.

12 : Louis Epstein (through personal communication) cites usage of dea- in a 1985 edition of the Guinness Book of World Records.

13 : http://www.bipm.org/en/CGPM/db/19/4/ BIPM (Bureau International des Poids at Mesures), Resolution 4 of the 19^th Meeting of the CGPM (1991) (as translated from the official French)

14 : http://www.utm.edu/research/primes/notes/proofs/infinite/goldbach.html Chris K. Caldwell, Goldbach's Proof of the Infinitude of Primes (1730), part of his Prime Pages.

15 : http://www.mersenne.org/status.htm PrimeNet project (Great Internet Mersenne Prime Search), Mersenne Search Status page.

16 : Gerard Jeanneau, LATIN pour grands debutants, online Latin textbook for French readers, chapter 24 (covering numbers and related adjectives and adverbs) formerly at http://www.guetali.fr/home/jeanneau/chap24.html (accessed in 2000).

17 : http://www.stars21.com/translator/english_to_latin.html InterTran English-Latin Translator, via Stars21.

18 : These names appear in the American Heritage Dictionary (4^th edition), the Random House Dictionary (2^nd Unabridged edition), and Webster's Third New International Dictionary, all according to Wikipedia (Names of large numbers) accessed in 2010.

19 : This name is as Conway and Wechsler originally intended it, using quinqua- intead of the more Latin-esque quin- suggested by Miakinen.

20 : http://www.miakinen.net/vrac/zillions Olivier Miakinen, Les zillions selon Conway, Wechsler... et Miakinen (web page), 2003.

21 : http://www.graner.net/nicolas/nombres/wechsler.txt Allan Wechsler, "Re: Number names" (newsgroup message), 2000.

22 : Olivier Miakinen, personal communication, Sep 2004.

23 : http://web.archive.org/web/20020126223629/www.io.com/~iareth/bignum.html Gregg William Geist, "Big Numbers", web page, 2002. Formerly at http://www.io.com/~iareth/bignum.html.

24 : http://www.numericana.com/answer/culture.htm#zillion Gerard P. Michon's Numericana, Final Answers — History and Nomenclature, "Zillion" zection. (formerly at http://home.att.net/~numericana/answer/culture.htm)

25 : Brooks and Henkle [36] as republished by Borgmann [37].

26 : Wictionary, undecentum. Under "Usage notes" it states:

Although undecentum is the usual expression for 99, it is also possible to say nonaginta novem ("ninety-nine") or novem et nonaginta ("nine and ninety").

Along with duodeviginti and undeviginti, undecentum is an example of a discrepancies between these artificial Latin-like prefixes and actual Latin number-names; see the discussion here.

27 : http://www.numericana.com/answer/humor.htm#prefixes G{'e}rard P. Michon's Numericana, Punch Lines — Funny Prefixes. (More bogus SI prefixes like those here but more humorous in nature).

28 : James Riordan, Metric Prefixes, 2002 (formerly at http://www.math.umn.edu/~riordan/prefixes.html). The author lists all of the official BIPM numeric multiplier prefixes, then states:

"Questionably scientific prefixes from the 1995 email response to the above by Tamara Munzner: .. zeppo .. harpo .. lotta .. lotto .. zuppa"

and gives etymologies similar to those at Numericana.

29 : The JARGON file, version 4.0.0 (July 1996), http://www.std.com/obi/Jargon/jarg400.txt. The relevant passage is:

[1993 update: hacker Morgan Burke has proposed, to general approval on Usenet, the following additional prefixes: groucho 10^(-30) harpo 10^(-27) harpi 10^(27) grouchi 10^(30) We observe that this would leave the prefixes zeppo-, gummo-, and chico- available for future expansion. Sadly, there is little immediate prospect that Mr. Burke's eminently sensible proposal will be ratified.]

30 : Donald E. Knuth and Allan A. Miller, "A Programming and Problem-Solving Seminar" (notes from Stanford CS 204, Fall 1980), pages 4-5. PDF here: Programming and Problem-Solving Seminar

31 : Oscar van Vlijmen, How to name large numbers (web page), 2003.

32 : Landon Curt Noll, The English name of a number, online conversion tool, 2011.

33 : Wikipedia, xera (discussion page for the SI prefix article), 2008.

34 : New York Times, [Military Supercomputer Sets Record|http://www.nytimes.com/2008/06/09/technology/09petaflops.html], 2008 June 9^th.

35 : Shuch, H. Paul, The large and the small of it (Letter). Science News 143(14): 211, April 3, 1993.