From: Nuralanur@...
Date: 2006-05-17T00:29:54+09:00
Subject: Re: In search of elegant indices searching

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Dear Tim, 
 
thanks for your reply.
I am a bit tired today and the task is a little involved,
 so I try to let others work for me :)
I want to evaluate some mathematical function , which has
arguments 'x','y','z' etc. (think of something like 
 
(x,y,z) -> 5*z*y+x*y**2)
 
)
at different values for these variables x,y,z.
Actually, I've got data, and I am trying to get back that function, or  an
approximation to it, from these data, so it's actually a  (multivariate)
interpolation problem. To do that efficiently, I need to hold
several variable values fixed at some point in time while varying  others.
 
So, in my example, if I have a Hash like
 
my_hash={'x',[1,1,3,1,5,6],'w',[1,2,3,1,4,5],'y',[1,1,1,4,4,6]} ,
 
then these are coordinates where the unknown function is evaluated  at.
 
If, now, the nice and wonderful method I search for, gives me
 
 
res={{'x'=>1,'w'=>1}=>[0,3],{'x'=>3,'w'=>3}=>[2],{'x'=>5,'w'=>4}=>[4],{'x'=>6,
'w'=>5}=>[5]},
 
I know that at the 0-th and 3-th measurement point, 'x' and 'w' didn't  vary, 
so, any
change in the function values is due to the change of 'y' from 1 to  4.
 
Do you have any elegant ideas for that ?
 
Thank you,
 
Best regards,
 
Axel 
 
 
 


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