Science Fair Project Encyclopedia
Sufficiently large
In mathematics, the phrase sufficiently large is used in contexts such as:
- f(x) is true for sufficiently large x
which is actually shorthand for:
- there exists an
such that f(x) is true for all 
.
This does not necessarily mean that any particular value for a is known, but only that such an a exists. The phrase "sufficiently large" should not be confused with the phrases "arbitrarily large" or "infinitely large".
"Sufficiently large" is sometimes the subject of mathematical humor ; for example, as in the mathematician's joke "π = 3, for sufficiently large values of 3".
Other uses in mathematics
A Haken manifold is sometimes called sufficiently large.
10-26-2009 08:16:03
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The contents of this article is licensed from www.wikipedia.org under the GNU Free Documentation License. Click here to see the transparent copy and copyright details