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Round




Mathematica Notation

Traditional Notation









Integer Functions > Round[z] > Complex characteristics > Conjugate value





http://functions.wolfram.com/04.03.19.0005.01









  


  








Input Form





Conjugate[Round[x + I y]] == Round[x] - I Round[y]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Conjugate", "[", RowBox[List["Round", "[", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "]"]], "\[Equal]", RowBox[List[RowBox[List["Round", "[", "x", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Round", "[", "y", "]"]]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mover> <mrow> <mtext> </mtext> <mrow> <mo> &#8970; </mo> <mrow> <mi> x </mi> <mo> + </mo> <mrow> <mi> &#8520; </mi> <mo> &#8290; </mo> <mi> y </mi> </mrow> </mrow> <mo> &#8969; </mo> </mrow> </mrow> <mo> _ </mo> </mover> <mo> &#10869; </mo> <mtext> </mtext> <mrow> <mrow> <mo> &#8970; </mo> <mi> x </mi> <mo> &#8969; </mo> </mrow> <mo> - </mo> <mrow> <mi> &#8520; </mi> <mo> &#8290; </mo> <mtext> </mtext> <mrow> <mo> &#8970; </mo> <mi> y </mi> <mo> &#8969; </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> FormBox </ci> <apply> <ci> RowBox </ci> <list> <apply> <ci> OverscriptBox </ci> <apply> <ci> ErrorBox </ci> <apply> <ci> RowBox </ci> <list> <ms> &#8970; </ms> <apply> <ci> RowBox </ci> <list> <ms> x </ms> <ms> + </ms> <apply> <ci> RowBox </ci> <list> <ms> &#8520; </ms> <ms> y </ms> </list> </apply> </list> </apply> <ms> &#8969; </ms> </list> </apply> </apply> <ms> _ </ms> </apply> <ms> &#10869; </ms> <apply> <ci> RowBox </ci> <list> <ms> &#8970;x&#8969; </ms> <ms> - </ms> <apply> <ci> RowBox </ci> <list> <ms> &#8520; </ms> <ms> &#8970;y&#8969; </ms> </list> </apply> </list> </apply> </list> </apply> <ci> TraditionalForm </ci> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Conjugate", "[", RowBox[List["Round", "[", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Round", "[", "x", "]"]], "-", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Round", "[", "y", "]"]]]]]]]]]]


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





2001-10-29