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http://functions.wolfram.com/04.03.02.0003.01
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Round[n + 1/2] == n /; Element[n/2, Integers]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Round", "[", RowBox[List["n", "+", FractionBox["1", "2"]]], "]"]], "\[Equal]", "n"]], "/;", RowBox[List[FractionBox["n", "2"], "\[Element]", "Integers"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mo> ⌊ </mo> <mrow> <mi> n </mi> <mo> + </mo> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> ⌉ </mo> </mrow> <mo> ⩵ </mo> <mi> n </mi> </mrow> <mo> /; </mo> <mrow> <mfrac> <mi> n </mi> <mn> 2 </mn> </mfrac> <mo> ∈ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <mrow> <mo> ⌊ </mo> <mrow> <mi> n </mi> <mo> + </mo> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <mo> ⌉ </mo> </mrow> <mo> ⩵ </mo> <mi> n </mi> </mrow> <mo> /; </mo> <mrow> <mfrac> <mi> n </mi> <mn> 2 </mn> </mfrac> <mo> ∈ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> </mrow> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Round", "[", RowBox[List["n_", "+", FractionBox["1", "2"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["n", "/;", RowBox[List[FractionBox["n", "2"], "\[Element]", "Integers"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
