Congruence function: Specific values (formula 04.06.03.0023)

Mod

$Mathematica Notation$

Integer Functions

Specific values

Values at fixed points

http://functions.wolfram.com/04.06.03.0023.01

Input Form

Mod[2 Pi, E] == -2 E + 2 Pi

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Mod", "[", RowBox[List[RowBox[List["2", " ", "\[Pi]"]], ",", "\[ExponentialE]"]], "]"]], "\[Equal]", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "\[ExponentialE]"]], "+", RowBox[List["2", " ", "\[Pi]"]]]]]]]]

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> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> π </mi> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mi> mod </mi> <mo> ⁢ </mo> <mi> ⅇ </mi> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <rem /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <exponentiale /> </apply> </annotation-xml> </semantics> <mo> ⩵ </mo> <mrow> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> π </mi> </mrow> <mo> - </mo> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mi> ⅇ </mi> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <rem /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <exponentiale /> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 2 </cn> <exponentiale /> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Mod", "[", RowBox[List[RowBox[List["2", " ", "\[Pi]"]], ",", "\[ExponentialE]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["-", "2"]], " ", "\[ExponentialE]"]], "+", RowBox[List["2", " ", "\[Pi]"]]]]]]]]

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

2001-10-29