STEP 0: Suppose that for some ε > 0, the statement is not true. Then one can find an increasing sequence m1, m2, etc., such that for any j, in equilibrium (S∗ mj Y ∗ mj ), E[|yKmj − X(ω)|] ≥ ε. Consider this sequence for the rest of the proof. For notational convenience, without loss of generality, we assume that m1 = 1, m2 = 2, etc.; that is, we have a sequence of games ΓKm and corresponding e...

as a function of s at the k+ 1 points ti, . . . , ti+k. The elements of $k,t are called polynomial splines of order k with knot sequence t. Let τ := (τi) n 1 be a strictly increasing real sequence. As is shown in [12], there exists, for given f , exactly one s ∈ $k,t, such that s(τi) = f(τi), i = 1, . . . , n, if and only if Ni,k(τi) 6= 0, i = 1, . . . , n, i.e., if and only if ti < τi < ti+k, ...

background: the cultivation of saffron is expanding through the southeast of iran, and allergy to saffron pollen occurs in workers involved in processing this plant. we aimed to clone, sequence and express a major allergen involved in saffron pollen allergy, and to compare the recombinant with the natural allergen. methods: the n-terminal amino acid sequence of cro s 1, an allergen from saffron...

In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset P for the functor Hom(P;-) to be exact.

Let K = ( k j ) be an increasing sequence of integers, 0 , and E a class analytic in the disk D z : &#60; 1 functions f such that for some p &#8712; &#8469; all derivatives are middle -valent . It is proved every function entire if only lim &#8594; &#8734; ln - &#8721; s +