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Floor




Mathematica Notation

Traditional Notation









Integer Functions > Floor[z] > Complex characteristics > Argument





http://functions.wolfram.com/04.01.19.0009.01









  


  








Input Form





Arg[Floor[z]] == ArcTan[Floor[Re[z]], Floor[Im[z]]]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Arg", "[", RowBox[List["Floor", "[", "z", "]"]], "]"]], "\[Equal]", RowBox[List["ArcTan", "[", RowBox[List[RowBox[List["Floor", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], ",", RowBox[List["Floor", "[", RowBox[List["Im", "[", "z", "]"]], "]"]]]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mo> &#8970; </mo> <mi> z </mi> <mo> &#8971; </mo> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mrow> <mrow> <mo> &#8970; </mo> <mrow> <mi> Re </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8971; </mo> </mrow> <mo> , </mo> <mrow> <mo> &#8970; </mo> <mrow> <mi> Im </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8971; </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <arg /> <apply> <floor /> <ci> z </ci> </apply> </apply> <apply> <arctan /> <apply> <floor /> <apply> <real /> <ci> z </ci> </apply> </apply> <apply> <floor /> <apply> <imaginary /> <ci> z </ci> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Arg", "[", RowBox[List["Floor", "[", "z_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["ArcTan", "[", RowBox[List[RowBox[List["Floor", "[", RowBox[List["Re", "[", "z", "]"]], "]"]], ",", RowBox[List["Floor", "[", RowBox[List["Im", "[", "z", "]"]], "]"]]]], "]"]]]]]]


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





2007-05-02