Suppose we need to design a system f(x) with parameter x according to some criterion T, and we do not have an analytic expression of f(x), but we know that if we increase x, then f(x) is also non-linearly increased. A solution can be obtained via:

1) initial guess of x,

2) obtain f(x),

3) if f(x)>T,  decrease x, go to 2),

4) else,  stop, output x.

We call the above a heuristic method or an empirical method?

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