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Topic review (newest first)
g is a vector function and g(p)>=0 or g(p)<=0.
at least one p,that g(p)>zero or equal to zero or g(p)<zero or equal to zero,is true. --do you mean g(p) cannot be (-1,8,...)type?
we have function g,in Real numbers dimension m and value p (with p=(p1,...,pm)) is positive.