[FRIAM] simulation and mathematics

[Marcus G. Daniels]

Glen E. P. Ropella wrote:
> Algebra is analogous to source code (and its language). 
And compilers do algebra by performing operations like common 
subexpression elimination and factoring.

Ideally we'd just be able to ask a computer or clever person 
"Solve[simulation function,X=x0]" and get a set of functions that 
compute each input parameters, i.e. invert the simulation function.   
The models that necessitate simulation usually involve some sort of 
recursive function, and are difficult to find analytical solutions for.. 
so we settle for using simulations to find trend relationships, 
sensitivities, level sets, etc.