A Sum-like notation for iteration

*To*: mathgroup at smc.vnet.net*Subject*: [mg102237] A Sum-like notation for iteration*From*: cca at gregosetroianos.mat.br*Date*: Sun, 2 Aug 2009 05:59:38 -0400 (EDT)

For a future version of Mathematica, a would like to suggest a Sum-like 2D notation for Table and related constructs. By this I mean, for exemple, that an expression like RawBoxes@RowBox[{UnderoverscriptBox["Table", RowBox[{"i", "=", "m"}], "n"], RowBox[{"f", "[", "i", "]"}]}] could be interpreted as Table[f[i], {i, m, n}] and, of course, in full generality (and due embellishments for list iterators and steps). By using this notation, for example, I have been able to make some people understand Table with many iterators much more easily. Setting the Notation package aside (which I refuse to use) I think it is possible to do this in many ways (using MakeBoxes, CellEvaluationFunction, etc.), but I have not attempeted beyond 3 iterators. Carlos Cesar de Araujo Gregos & Troianos Educacional www.gregosetroianos.mat.br Belo Horizonte, MG, Brasil (31) 3283-1122