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Floor




Mathematica Notation

Traditional Notation









Integer Functions > Floor[z] > Zeros





http://functions.wolfram.com/04.01.30.0001.01









  


  








Input Form





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








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Floor", "[", "z", "]"]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["0", "\[LessEqual]", RowBox[List["Re", "[", "z", "]"]], "<", "1"]], "\[And]", RowBox[List["0", "\[LessEqual]", RowBox[List["Im", "[", "z", "]"]], "<", "1"]]]]]]]]








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> &#8970; </mo> <mi> z </mi> <mo> &#8971; </mo> </mrow> <mo> &#10869; </mo> <mn> 0 </mn> </mrow> <mo> /; </mo> <mrow> <mrow> <mn> 0 </mn> <mo> &#8804; </mo> <mrow> <mi> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mn> 1 </mn> </mrow> <mo> &#8743; </mo> <mrow> <mn> 0 </mn> <mo> &#8804; </mo> <mrow> <mi> Im </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mn> 1 </mn> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <floor /> <ci> z </ci> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <and /> <apply> <ci> Inequality </ci> <cn type='integer'> 0 </cn> <leq /> <apply> <real /> <ci> z </ci> </apply> <lt /> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Inequality </ci> <cn type='integer'> 0 </cn> <leq /> <apply> <imaginary /> <ci> z </ci> </apply> <lt /> <cn type='integer'> 1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





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


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





2001-10-29