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| {{Merge to|Eventually (mathematics)|discuss=Talk:Eventually (mathematics)#Merger proposal with Sufficiently large|date=October 2011}}
| | My name is Kia Gutman. I life in Breedenbroek (Netherlands). |
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| In [[mathematics]], the phrase '''sufficiently large''' is used in such contexts as:
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| :<math>P</math> is true for sufficiently large <math>x</math>
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| which is actually shorthand for:
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| :<math>\exists~ a\in\mathbb{R}</math> such that <math>P</math> is true <math>\forall~ x\ge a</math>.
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| Therefore <math>a</math> exists, and a particular value for it may not be known. The phrase "sufficiently large" should not be confused with the phrases "[[arbitrarily large]]" or "[[infinity|infinitely]] large".
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| ==Other uses in mathematics==
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| *A [[sufficiently large manifold]] is a manifold containing a properly embedded 2-sided incompressible surface.
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| ==See also==
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| *[[Mathematical jargon]]
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| ==References==
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| {{MathWorld|title=Sufficiently Large|urlname=SufficientlyLarge}}
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| {{DEFAULTSORT:Sufficiently Large}}
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| [[Category:Mathematical terminology]]
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| [[Category:3-manifolds]]
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Latest revision as of 20:33, 27 December 2014
My name is Kia Gutman. I life in Breedenbroek (Netherlands).