Re: A Sum-like notation for iteration

*To*: mathgroup at smc.vnet.net*Subject*: [mg102322] Re: A Sum-like notation for iteration*From*: cca at gregosetroianos.mat.br*Date*: Wed, 5 Aug 2009 05:45:25 -0400 (EDT)

Peter, >>I for one would be *horrified* to see such constructs included by >>default in the system. You misunderstood my post. I did not suggest this 2D notation as a default. I said that MakeExpression should accept (parse) it. (The parsing of boxes is done by MakeExpression.) I do not see any "horror" in this notation. To me (and to many) it appears utterly natural. I have seen more horrible things than this. For example, Einstein summation convention, Frege's notations and ... the result (which is not "recognized universally") RowBox[{UnderoverscriptBox["\[Sum]", RowBox[{"x", "=", "1"}], RowBox[{"{", RowBox[{"a", ",", "b"}], "}"}]], "f"}] returned by MakeBoxes[Sum[f, {x, {a, b}}], TraditionalForm] in Mathematica 6. It seems you would be dismayed with the very interesting work done by Bruno Buchberger on his "logicographic symbols" (implemented in Mathematica for his Theorema Project and -- "reinventing the wheel" -- without using the Notation package). Carlos Cesar de Araujo Gregos & Troianos Educacional www.gregosetroianos.mat.br Belo Horizonte, MG, Brasil (31) 3283-1122