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Mod




Mathematica Notation

Traditional Notation









Integer Functions > Mod[m,n] > Identities > Functional identities





http://functions.wolfram.com/04.06.17.0001.01









  


  








Input Form





Mod[m/n, 1] == Mod[m, n]/n








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Mod", "[", RowBox[List[FractionBox["m", "n"], ",", "1"]], "]"]], "\[Equal]", FractionBox[RowBox[List["Mod", "[", RowBox[List["m", ",", "n"]], "]"]], "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> <mfrac> <mi> m </mi> <mi> n </mi> </mfrac> <mo> &#8290; </mo> <mi> mod </mi> <mo> &#8290; </mo> <mn> 1 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <apply> <times /> <ci> $CellContext`m </ci> <apply> <power /> <ci> $CellContext`n </ci> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </annotation-xml> </semantics> <mo> &#10869; </mo> <mfrac> <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> <mi> n </mi> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <rem /> <apply> <times /> <ci> $CellContext`m </ci> <apply> <power /> <ci> $CellContext`n </ci> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <times /> <apply> <rem /> <ci> $CellContext`m </ci> <ci> $CellContext`n </ci> </apply> <apply> <power /> <ci> n </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Mod", "[", RowBox[List[FractionBox["m_", "n_"], ",", "1"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["Mod", "[", RowBox[List["m", ",", "n"]], "]"]], "n"]]]]]


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





2001-10-29