html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 DiracDelta

 http://functions.wolfram.com/14.03.20.0002.01

 Input Form

 x^n Derivative[m][DiracDelta][x] == 0 /; Element[m, Integers] && Element[n, Integers] && Inequality[0, LessEqual, m, Less, n]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox["x", "n"], RowBox[List[SuperscriptBox["DiracDelta", TagBox[RowBox[List["(", "m", ")"]], Derivative], Rule[MultilineFunction, None]], "[", "x", "]"]]]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["m", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["0", "\[LessEqual]", "m", "<", "n"]]]]]]]]

 MathML Form

 x n δ ( m ) TagBox[RowBox[List["(", "m", ")"]], Derivative] ( x ) 0 /; m TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] n TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] 0 m < n Condition x n x m δ x 0 m n Inequality 0 m n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SuperscriptBox["x_", "n_"], " ", RowBox[List[SuperscriptBox["DiracDelta", TagBox[RowBox[List["(", "m", ")"]], Derivative], Rule[MultilineFunction, None]], "[", "x_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["m", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["0", "\[LessEqual]", "m", "<", "n"]]]]]]]]]]

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

 2001-10-29