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http://functions.wolfram.com/04.02.16.0015.01
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Ceiling[z + n] == Ceiling[z] + n /; Element[n, Integers]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Ceiling", "[", RowBox[List["z", "+", "n"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["Ceiling", "[", "z", "]"]], "+", "n"]]]], "/;", RowBox[List["n", "\[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> z </mi> <mo> + </mo> <mi> n </mi> </mrow> <mo> ⌉ </mo> </mrow> <mo> ⩵ </mo> <mrow> <mrow> <mo> ⌈ </mo> <mi> z </mi> <mo> ⌉ </mo> </mrow> <mo> + </mo> <mi> n </mi> </mrow> </mrow> <mo> /; </mo> <mrow> <mi> n </mi> <mo> ∈ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ceiling /> <apply> <plus /> <ci> z </ci> <ci> n </ci> </apply> </apply> <apply> <plus /> <apply> <ceiling /> <ci> z </ci> </apply> <ci> n </ci> </apply> </apply> <apply> <in /> <ci> n </ci> <integers /> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Ceiling", "[", RowBox[List["z_", "+", "n_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Ceiling", "[", "z", "]"]], "+", "n"]], "/;", RowBox[List["n", "\[Element]", "Integers"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
