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Ceiling




Mathematica Notation

Traditional Notation









Integer Functions > Ceiling[z] > Transformations > Transformations and argument simplifications > Argument involving related functions





http://functions.wolfram.com/04.02.16.0010.01









  


  








Input Form





Ceiling[z - Ceiling[z]] == 0








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Ceiling", "[", RowBox[List["z", "-", RowBox[List["Ceiling", "[", "z", "]"]]]], "]"]], "\[Equal]", "0"]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mo> &#8968; </mo> <mrow> <mi> z </mi> <mo> - </mo> <mrow> <mo> &#8968; </mo> <mi> z </mi> <mo> &#8969; </mo> </mrow> </mrow> <mo> &#8969; </mo> </mrow> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <ceiling /> <apply> <plus /> <ci> z </ci> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <ceiling /> <ci> z </ci> </apply> </apply> </apply> </apply> <cn type='integer'> 0 </cn> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Ceiling", "[", RowBox[List["z_", "-", RowBox[List["Ceiling", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", "0"]]]]


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





2001-10-29