Congruence function: Differentiation (formula 04.06.20.0001)

Mod

$Mathematica Notation$

Integer Functions

Mod[m,n]

Differentiation

Low-order differentiation

With respect to m

http://functions.wolfram.com/04.06.20.0001.01

Input Form

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

Standard Form

Cell[BoxData[RowBox[List[RowBox[List[SubscriptBox["\[PartialD]", "m"], RowBox[List["Mod", "[", RowBox[List["m", ",", "n"]], "]"]]]], "\[Equal]", "1"]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mrow> <mo> ∂ </mo> <mrow> <mo> ( </mo> <semantics> <mrow> <mi> m </mi> <mo> ⁢ </mo> <mi> mod </mi> <mo> ⁢ </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> <mo> ∂ </mo> <mi> m </mi> </mrow> </mfrac> <mo> ⩵ </mo> <mn> 1 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <partialdiff /> <bvar> <ci> m </ci> </bvar> <apply> <rem /> <ci> $CellContext`m </ci> <ci> $CellContext`n </ci> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SubscriptBox["\[PartialD]", RowBox[List["m_"]]], RowBox[List["Mod", "[", RowBox[List["m_", ",", "n_"]], "]"]]]], "]"]], "\[RuleDelayed]", "1"]]]]

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

2001-10-29