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| [[File:Nearest integer.svg|thumb|300px|A plot of the nearest integer function, rounding to the nearest even integer]]
| | The writer's name is Christy. To climb is some thing I really enjoy performing. Credit authorising is how she makes a residing. Alaska is exactly where he's always been residing.<br><br>my blog: spirit messages ([http://www.weddingwall.com.au/groups/easy-advice-for-successful-personal-development-today/ updated blog post]) |
| In [[computer science]], the '''nearest integer function''' of [[real number]] ''x'' denoted variously by <math>[x]</math>,<ref>{{MathWorld | title=Nearest Integer Function | urlname=NearestIntegerFunction | accessdate= 2008-08-15}}</ref> <math>\lfloor x \rceil</math>, <math>\Vert x \Vert</math>,<ref>{{cite book|author=J.W.S. Cassels|title=An introduction to Diophantine approximation|series=Cambridge Tracts in Mathematics and Mathematical Physics|volume=45|publisher=[[Cambridge University Press]]|year=1957|page=1}}</ref> nint(''x''), or Round(''x''), is a [[function (mathematics)|function]] which returns the nearest [[integer]] to ''x''. To avoid ambiguity when operating on [[half-integer]]s, a [[rounding]] rule must be chosen. On most computer implementations, the selected rule is to round half-integers to the nearest [[even number|even integer]]—for example,
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| :<math>[1.25] = 1</math>
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| :<math>[1.50] = 2</math> | |
| :<math>[1.75] = 2</math> | |
| :<math>[2.25] = 2</math>
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| :<math>[2.50] = 2</math>
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| :<math>[2.75] = 3</math>
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| :<math>[3.25] = 3</math>
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| :<math>[3.50] = 4</math>
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| :<math>[3.75] = 4</math>
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| :<math>[4.50] = 4</math>
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| :etc.
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| This is in accordance with the [[IEEE 754]] standards and helps reduce bias in the result.
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| There are many other possible rules for [[rounding#Tie-breaking|tie breaking]] when rounding a half integer include rounding up, rounding down, rounding to or away from zero, or random rounding up or down.
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| ==See also==
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| *[[Floor and ceiling functions]]
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| ==References==
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| <references/>
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| [[Category:Mathematical notation]]
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| [[Category:Special functions]]
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| [[Category:Parity]]
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Latest revision as of 08:04, 13 August 2014
The writer's name is Christy. To climb is some thing I really enjoy performing. Credit authorising is how she makes a residing. Alaska is exactly where he's always been residing.
my blog: spirit messages (updated blog post)