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MathGroup Archive 1995

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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
http://uces.ameslab.gov/uces/home.html


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