... subsets of Rm of degree ≤ d Applying the BOUNDS OF HAUSDORFF MEASURES OF TAME SETS 45 theorem, one gets the estimates from above, similar to Example 1, for the k-dimensional Hausdorff measures of algebraic ... 1p(B) dwdθm,k p Hk (p(B)) BOUNDS OF HAUSDORFF MEASURES OF TAME SETS 43 Corollary (c.f [Y-C] and [D-K]) Let A be a definable subset of Rm of m dimension k Then for any ball Br of radius r in Rm , m ... the number of variables, l is the length of f , α is the maximum of the degrees of the polynomials Pij , β is the maximum of the degrees of the functions in P,and s is the number of the functions...