I have a polynomial
b*p + a*q + y = 0
where b,p,a,q,y are integer variables. It specifies some area.
1) If there a way (an algorithm) to specify linear inequalities, that the area they are describe, will include an area of polynomial?
2) If there a way (an algorithm) to specify a set of linear inequalities, the the area they are describe, will be included in an area of polynomial?
This question also applies, in general, to any polynomial:
a1*x1^y11*...*xm^ym1 + ak*x1^y1k*...*xm^ymk = 0
where x1,...,xm - integer variables, a1,...ak, y11, ..., ymk - integers.