| 词条 | Strong Law of Small Numbers |
| 释义 |
In mathematics, the "Strong Law of Small Numbers" is the humorous title of a popular paper by mathematician Richard K. Guy and also the so-called law that proclaims:[1] {{quote|There aren't enough small numbers to meet the many demands made of them.}}In other words, any given small number appears in far more contexts than may seem reasonable, leading to many apparently surprising coincidences in mathematics, simply because small numbers appear so often and yet are so few. Guy's paper gives 35 examples in support of this thesis. This can lead inexperienced mathematicians to conclude that these concepts are related, when in fact they are not. Guy's observation has since become part of mathematical folklore, and is commonly referenced by other authors.[2][3] Second Strong Law of Small NumbersThe original strong law of small numbers was quickly followed by the second strong law of small numbers: {{quote|"When two numbers look equal, it ain't necessarily so!"[4]}}The second strong law of small numbers emphasizes the fact that two arithmetic functions taking equal values at small arguments do not necessarily coincide.{{cn|date=January 2019}} See also
Notes1. ^{{Cite journal|last=Guy|first=Richard K.|authorlink=Richard K. Guy|year=1988|title=The Strong Law of Small Numbers|journal=American Mathematical Monthly|volume=95|issue=8|pages=697–712|issn=0002-9890|pmid=|pmc=|doi=10.2307/2322249|bibcode=|oclc=|id=|url=http://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/Guy697-712.pdf|accessdate=2009-08-30|jstor=2322249}} 2. ^{{Cite book| first = David| last = Wells | year = 2005 | title = Prime Numbers: The Most Mysterious Figures in Math | publisher = John Wiley & Sons | location = Hoboken | page = 31}} 3. ^{{Cite book| first = Underwood| last = Dudley | year = 1998 | title = Numerology: Or, What Pythagoras Wrought | publisher = The Mathematical Association of America | page = 87}} 4. ^{{Cite journal|last=Guy|first=Richard K.|authorlink=Richard K. Guy|year=1990|title=The Second Strong Law of Small Numbers|journal=Mathematics Magazine|volume=63|issue=1|pages=3–20|doi=10.2307/2691503|jstor=2691503}} External links
|first=Chris |last=Caldwell |title=Law of small numbers |url=http://primes.utm.edu/glossary/page.php?sort=LawOfSmall |work=The Prime Glossary }}
|title=Small finite sets |work=Secret Blogging Seminar |date=2007-10-27 |first=Scott |last=Carnahan |url=http://sbseminar.wordpress.com/2007/10/27/small-finite-sets/ |postscript=, notes on a talk by Jean-Pierre Serre on properties of small finite sets. }}
6 : Mathematics papers|Mathematical humor|1988 documents|1988 in science|Works originally published in American magazines|Works originally published in science and technology magazines |
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