Transactions of the American Mathematical Society, Vol. 347, No. 6 (Jun., 1995), pp. 2161-2167 (7 pages) Let Sn be the collection of all algebraic polynomials of degree ≤ n with nonnegative ...

We discuss several aspects of Łojasiewicz inequalities, namely local and global versions, and the relations between the gradient inequality and regular separation of real algebraic sets. We give ...