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Ceiling




Mathematica Notation

Traditional Notation









Integer Functions > Ceiling[z] > Zeros





http://functions.wolfram.com/04.02.30.0001.01









  


  








Input Form





Ceiling[z] == 0 /; Inequality[-1, Less, Re[z], LessEqual, 0] && Inequality[-1, Less, Im[z], LessEqual, 0]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Ceiling", "[", "z", "]"]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "1"]], "<", RowBox[List["Re", "[", "z", "]"]], "\[LessEqual]", "0"]], "\[And]", RowBox[List[RowBox[List["-", "1"]], "<", RowBox[List["Im", "[", "z", "]"]], "\[LessEqual]", "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> <mrow> <mo> &#8968; </mo> <mi> z </mi> <mo> &#8969; </mo> </mrow> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> &lt; </mo> <mrow> <mi> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8804; </mo> <mn> 0 </mn> </mrow> <mo> &#8743; </mo> <mrow> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> &lt; </mo> <mrow> <mi> Im </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8804; </mo> <mn> 0 </mn> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ceiling /> <ci> z </ci> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <ci> Inequality </ci> <cn type='integer'> -1 </cn> <lt /> <apply> <real /> <ci> z </ci> </apply> <leq /> <cn type='integer'> 0 </cn> </apply> <apply> <ci> Inequality </ci> <cn type='integer'> -1 </cn> <lt /> <apply> <imaginary /> <ci> z </ci> </apply> <leq /> <cn type='integer'> 0 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Ceiling", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List[RowBox[List["-", "1"]], "<", RowBox[List["Re", "[", "z", "]"]], "\[LessEqual]", "0"]], "&&", RowBox[List[RowBox[List["-", "1"]], "<", RowBox[List["Im", "[", "z", "]"]], "\[LessEqual]", "0"]]]]]]]]]]


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





2001-10-29