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st: sum in nonlinear equations


From   "Andreas Aschbacher" <aa_surf@gmx.at>
To   statalist@hsphsun2.harvard.edu
Subject   st: sum in nonlinear equations
Date   Tue, 30 Mar 2004 10:36:37 +0200 (MEST)

Dear fellows !
is there apossibility to write line *9* in Stata-code - 
I have written it in pseudocode,please look at line 9
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
. capture program drop nlfaq

. program nlfaq
  1.    if "`1'" == "?" {
  2.       global S_1 " A B C"
  3.       global A=1
  4.       global B=1
  5.       global C=1
  6.       exit
  7.    }
  8.    tempvar yh  
  9.    gen `yh'= exp($A) + sum(from n =1 to 34)[n*cos($B)+ (n-1)*tan($B)] -
2 in 1
 10.    replace `yh'= $A/$B +$C^2-log($B) in 2
 11.    replace `yh'= $A/($A+$B+$C)- sin($C) in 3
 12.    replace `1' = `yh'
 13.    
. end

. nl faq y
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
this would be very necessary for me because I could deconvolute with Stata
using modified Simpsonrule for computing integrals.
using LevenbergMarquardt with Stata is possible in physics,convolution-
computing
is very easy too,the way back namely deconvolution would be possible too if
I could
compute this sum

any help would be appreciated very much
andreas aschbacher,greetings to all fanatic Stata users in the world

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