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These recent results also show that the set of all values of k for which each term of the sequence contains at least m distinct prime divisors, for certain fixed integers m ≥

sequence generated under switching rule 1, i.e., with alternating U ’s and V ’s, is easily obtained: Proceeding from left to right, shift each V -value as far as possible to the

The sign “+” denotes the usual union of sets, the sign “ − ” the usual difference of sets, and so whenever ± is written one should take either + or −.. The lemma will be

the sets of corresponding occurrences of symbols (i.e., the sets of symbols bound by these links), then either A and B do not intersect, or their intersection is a singleton

Key words and phrases : Almost surely convergent series of Banach space valued random elements, tail series, rate of convergence, martingale difference sequence, p-orthogonal

Using the finite element method we calculated the approximate values of λ 1 for various values of p for different shape of domain.. Ω

Some results connected to inclusion relations, neighborhoods of the elements of class Σ λ ( α, β, γ ) and integral operators are obtained.

In case of the RHS elements the question is, within which range an RHS element can change so that the current optimal basis stays optimal, and what is the rate of change (shadow