conclusions the castings fabricated from the ringless technique with non-precious alloy are acceptable. this investing system is useable for the fabrication of fixed restorations. results after statistical evaluation, the following results were obtained: the mean vertical margin discrepancy for conventional investing was 156.72 ± 64.67µ; for the ringless technique it was 117.3 ± 26.77µ; and for...

It has been shown by Hickernell and Niederreiter that there exist generating vectors for integration lattices which yield small integration errors for n = p, p2, . . . for all integers p ≥ 2. This paper provides algorithms for the construction of generating vectors which are finitely extensible for n = p, p2, . . . for all integers p ≥ 2. The proofs which show that our algorithms yield good ext...

Let Γ ⊂ Rs be a lattice, obtained from a module in a totally real algebraic number field. Let G be an axis parallel parallelepiped, and let |G| be a volume of G. In this paper we prove that lim sup |G|→∞ (det Γ#(Γ ∩G)− |G|)/ ln |G| > 0. Thus the known estimate det Γ#(Γ ∩ G) = |G| + O(ln |G|) is exact. We obtain also a similar result for the low discrepancy sequence corresponding to Γ.