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Mod




Mathematica Notation

Traditional Notation









Integer Functions > Mod[m,n] > General characteristics > Symmetries and periodicities > Parity





http://functions.wolfram.com/04.06.04.0002.01









  


  








Input Form





Mod[-m, -n] == -Mod[m, n]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Mod", "[", RowBox[List[RowBox[List["-", "m"]], ",", RowBox[List["-", "n"]]]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List["Mod", "[", RowBox[List["m", ",", "n"]], "]"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mrow> <mrow> <mo> - </mo> <mi> m </mi> </mrow> <mo> &#8290; </mo> <mi> mod </mi> <mo> &#8290; </mo> <mrow> <mo> - </mo> <mi> n </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> $CellContext`m </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> $CellContext`n </ci> </apply> </apply> </annotation-xml> </semantics> <mo> &#10869; </mo> <mrow> <mo> - </mo> <mrow> <mo> ( </mo> <semantics> <mrow> <mi> m </mi> <mo> &#8290; </mo> <mi> mod </mi> <mo> &#8290; </mo> <mi> n </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <ci> $CellContext`m </ci> <ci> $CellContext`n </ci> </apply> </annotation-xml> </semantics> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <rem /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> $CellContext`m </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> $CellContext`n </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <rem /> <ci> $CellContext`m </ci> <ci> $CellContext`n </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Mod", "[", RowBox[List[RowBox[List["-", "m_"]], ",", RowBox[List["-", "n_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", RowBox[List["Mod", "[", RowBox[List["m", ",", "n"]], "]"]]]]]]]]


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





2001-10-29