[GAP Forum] Need help: Solution to a simultaneous equation

muniru asiru maasiru at yahoo.com
Wed Apr 11 11:31:12 BST 2007



a:=100;;
y1=1+  401/a*10^-14*b+  118/a*10^-14*c+ 
260/a*10^-14*d+  331/a*10^-27*e
y1=1+  457/a*10^-14*b+  127/a*10^-14*c+ 
330/a*10^-14*d+  255/a*10^-27*e
y1=1+  765/a*10^-14*b+  383/a*10^-14*c+ 
595/a*10^-14*d+  380/a*10^-27*e
y1=1+  101/a*10^-14*b+  266/a*10^-14*c+ 
797/a*10^-14*d+  428/a*10^-27*e
y1=1+  135/a*10^-14*b+  354/a*10^-14*c+ 
106/a*10^-14*d+  586/a*10^-27*e


I need help.  I like to solve the above simultaneous
equations to determine the 
values y1, b,c,d, and e.

I can write some simple codes in Gap, but this doesn't
appear to help.

I wiil be grateful if you will help me out.  My
program is shown below.

k0:=[-2^25,(-2^25-1)..2^25];;  a:=100;;
k1:=[];;
for y1 in k0 do for b in k0 do for c in k0 do for d in
k0 do for e in k0 do if 
[[y1],[y1],[y1],[y1],[y1]]=[
10^30*[1+  401/a*10^-14*b+  118/a*10^-14*c+ 
260/a*10^-14*d+  331/a*10^-27*e],
10^30+[1+  457/a*10^-14*b+  127/a*10^-14*c+ 
330/a*10^-14*d+  255/a*10^-27*e],
10^30+[1+  765/a*10^-14*b+  383/a*10^-14*c+ 
595/a*10^-14*d+  380/a*10^-27*e],
10^30+[1+  101/a*10^-14*b+  266/a*10^-14*c+ 
797/a*10^-14*d+  428/a*10^-27*e],
10^30+[1+  135/a*10^-14*b+  354/a*10^-14*c+ 
106/a*10^-14*d+  586/a*10^-27*e]] 
then  Add(k1,[Int(y1),Int(b),Int(c),Int(d),Int(e)]);
fi; od; od; od; od; od; k1;

Gap cannot give me the value of k1.  How do I overcome
this problem.

Thanks


sincerely,
maa


       
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