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Sufficiently LargeIn mathematics, the phrase sufficiently large is used in contexts such as: - is true for sufficiently large
which is actually shorthand for: - there exists an such that is true for all .
This does not necessarily mean that any particular value for is known, but only that such an 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.
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