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Mathematica Notation

Traditional Notation

Gamma, Beta, Erf > Factorial[n] > Summation > Finite summation




Input Form

Sum[k/(k + 1)!, {k, n, Infinity}] == 1/n!

Standard Form

Cell[BoxData[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "n"]], "\[Infinity]"], FractionBox["k", RowBox[List[RowBox[List[RowBox[List["(", RowBox[List["k", "+", "1"]], ")"]], "!"]], " "]]]]], "\[Equal]", FractionBox["1", RowBox[List["n", "!"]]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> k </mi> <mo> = </mo> <mi> n </mi> </mrow> <mi> &#8734; </mi> </munderover> <mfrac> <mi> k </mi> <mrow> <mrow> <mo> ( </mo> <mrow> <mi> k </mi> <mo> + </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ! </mo> </mrow> </mfrac> </mrow> <mo> &#63449; </mo> <mfrac> <mn> 1 </mn> <mrow> <mi> n </mi> <mo> ! </mo> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <sum /> <bvar> <ci> k </ci> </bvar> <lowlimit> <ci> n </ci> </lowlimit> <uplimit> <infinity /> </uplimit> <apply> <times /> <ci> k </ci> <apply> <power /> <apply> <factorial /> <apply> <plus /> <ci> k </ci> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <factorial /> <ci> n </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "n_"]], "\[Infinity]"], FractionBox["k_", RowBox[List[RowBox[List["(", RowBox[List["k_", "+", "1"]], ")"]], "!"]]]]], "]"]], "\[RuleDelayed]", FractionBox["1", RowBox[List["n", "!"]]]]]]]

Contributed by

H. J. Brothers

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