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Arriving at a design space using mathematica


Hi all,
This is still a preliminary idea but wanted to get opinions before i 
started off, our group wants to do a design space generation using 
mathematica wherein we have a mathematical model to predict a certain 
property and have specifications in terms of bounds on that calculated 
property. we would like to obtain bounds on/(correlation between) the 
independent variables in the model that gives rise to the calculated 
property lying within reqd limits. i can think of a brute force 
technique of running nested 'for' loops on all indep variables and 
finding feasible points and taking min max to get bounds(which may not 
be totally accurate), is there a more elegant way? graphical way? if 
anybody has come across mathematica being put to use for similar 
puposes, plz point me in that direction.
i am open to suggestions/ideas.
thanks,
Pradeep


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