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Arg






Mathematica Notation

Traditional Notation









Complex Components > Arg[z] > Inequalities





http://functions.wolfram.com/12.02.29.0003.01









  


  










Input Form





-r < Arg[z + a] < R /; -r < Arg[z] < R && -r < Arg[a] < R && R - r <= Pi










Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["-", "r"]], "<", RowBox[List["Arg", "[", RowBox[List["z", "+", "a"]], "]"]], "<", "R"]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "r"]], "<", RowBox[List["Arg", "[", "z", "]"]], "<", "R"]], "\[And]", RowBox[List[RowBox[List["-", "r"]], "<", RowBox[List["Arg", "[", "a", "]"]], "<", "R"]], "\[And]", RowBox[List[RowBox[List["R", "-", "r"]], "\[LessEqual]", "\[Pi]"]]]]]]]]










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> - </mo> <mi> r </mi> </mrow> <mo> &lt; </mo> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mi> a </mi> <mo> + </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mi> R </mi> </mrow> <mo> /; </mo> <mrow> <mrow> <mrow> <mo> - </mo> <mi> r </mi> </mrow> <mo> &lt; </mo> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mi> R </mi> </mrow> <mo> &#8743; </mo> <mrow> <mrow> <mo> - </mo> <mi> r </mi> </mrow> <mo> &lt; </mo> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> a </mi> <mo> ) </mo> </mrow> <mo> &lt; </mo> <mi> R </mi> </mrow> <mo> &#8743; </mo> <mrow> <mrow> <mi> R </mi> <mo> - </mo> <mi> r </mi> </mrow> <mo> &#8804; </mo> <mi> &#960; </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <lt /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> r </ci> </apply> <apply> <arg /> <apply> <plus /> <ci> a </ci> <ci> z </ci> </apply> </apply> <ci> R </ci> </apply> <apply> <and /> <apply> <lt /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> r </ci> </apply> <apply> <arg /> <ci> z </ci> </apply> <ci> R </ci> </apply> <apply> <lt /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> r </ci> </apply> <apply> <arg /> <ci> a </ci> </apply> <ci> R </ci> </apply> <apply> <leq /> <apply> <plus /> <ci> R </ci> <apply> <times /> <cn type='integer'> -1 </cn> <ci> r </ci> </apply> </apply> <pi /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["-", "r"]], "<", RowBox[List["Arg", "[", RowBox[List["z", "+", "a"]], "]"]], "<", "R"]], "/;", RowBox[List[RowBox[List[RowBox[List["-", "r"]], "<", RowBox[List["Arg", "[", "z", "]"]], "<", "R"]], "&&", RowBox[List[RowBox[List["-", "r"]], "<", RowBox[List["Arg", "[", "a", "]"]], "<", "R"]], "&&", RowBox[List[RowBox[List["R", "-", "r"]], "\[LessEqual]", "\[Pi]"]]]]]]]]










Contributed by





Pavlyk O. (2006)










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





2007-05-02