Help with a symbolic sum.....
- To: mathgroup at christensen.cybernetics.net
- Subject: [mg1696] Help with a symbolic sum.....
- From: tlm at ameslab.gov (Tom Marchioro)
- Date: Mon, 17 Jul 1995 02:54:26 -0400
- Organization: Iowa State University, Ames, Iowa
for one of our on-line computational science textbooks I was in the
process of translating an example from Maple to Mathematica.
Unfortunately, it appears that this is a case where Mma comes up short.
To wit, Mma gives the following
math
Mathematica 2.2 for NeXT
Copyright 1988-93 Wolfram Research, Inc.
-- NeXT graphics initialized --
In[1]:= Needs["Algebra`SymbolicSum`"];
In[2]:= Sum[(((2*i)/(2*n+1))*(1/n)/Sqrt[((2*i)/(2*n+1)
-1/2)^2 + (1/2)^2]), {i, -n, n}]
Out[2]= 0
which is flat-out wrong. Need the above sum *in Mathematica* in the limit
as n-> Infinity, am open to suggestions.....
Thanks for any help which can be offered.
Tom
--
Dr. Thomas L. Marchioro II Two-wheeled theoretical physicist
Applied Mathematical Sciences 515-294-9779
Ames Laboratory 515-432-9142 (home)
Ames, Iowa 50011 tlm at ameslab.gov
Executive Director: Undergraduate Computational Engineering and Sciences
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