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Round






Mathematica Notation

Traditional Notation









Integer Functions > Round[z] > General characteristics > Sets of discontinuity





http://functions.wolfram.com/04.03.04.0004.01









  


  










Input Form





DiscontinuitySets[Round[z], z] == {SequenceList[{Interval[{2 k - 1/2 - I Infinity, 2 k - 1/2 + I Infinity}], -1}, Element[k, Integers]], SequenceList[ {Interval[{2 k + 1/2 - I Infinity, 2 k + 1/2 + I Infinity}], 1}, Element[k, Integers]], SequenceList[ {Interval[{2 I k - I/2 - Infinity, 2 I k - I/2 + Infinity}], -I}, Element[k, Integers]], SequenceList[ {Interval[{2 I k + I/2 - Infinity, 2 I k + I/2 + Infinity}], I}, Element[k, Integers]]}










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29