where the residuals εt are assumed to be i.i.d. N(0,Ω) with Ω positive definite and y0 is fixed. The diffuse prior is given by p(Ω) ∝ ∣∣Ω∣∣−(n+1)/2. (A.2) Stacking the model in (A.1) into n × T matrices y = [y1 · · · yT ] and ε = [ε1 · · · εT ], with the realized values, for convenience, being denoted the same way, the posterior distribution is proportional to the prior times the likelihood, wh...

Tumor cells treated with IL-10 were shown to have decreased, but peptide-inducible expression of MHC class I, decreased sensitivity to MHC class I-restricted CTL, and increased NK sensitivity. These findings could be explained, at least partially, by a down-regulation of TAP1/TAP2 expression. In this study, IT9302, a nanomeric peptide (AYMTMKIRN), homologous to the C-terminal of the human IL-10...

Computational methods are given in [3] to determine the maximum possible absolute value of each of the coe cients of the polynomials in this class when satis es some restrictions. It is also shown that there exist polynomials P and Q in the class such that each of the nonzero coe cients of P and Q have the largest possible absolute value of any polynomial in the class. The extremal polynomials ...

Let φ : C2×C2 → C, φ((x1, x2), (y1, y2)) = (x1−y1)2+(x2−y2)2. We say that f : C2 → C2 preserves distance d ≥ 0, if for each X, Y ∈ C2 φ(X, Y ) = d2 implies φ(f(X), f(Y )) = d2. We prove that each unit-distance preserving mapping f : C2 → C2 has a form I◦(γ, γ), where γ : C→ C is a field homomorphism and I : C2 → C2 is an affine mapping with orthogonal linear part. We prove an analogous result f...

h.0/ D 0; h.t/ D g t; h.t/ ; t 2 Œ0; 1 (1) in h W Œ0; 1 ! R (Figure 1). A simple sufficient condition that guarantees unique existence of solution h is that g be Lipschitz continuous (along its second argument), which is to say, jg.t;y0/ g.t;y1/j L jy0 y1j; t 2 Œ0; 1; y0;y1 2 R (2) for some constant L independent of y0, y1 and t [16]. We are interested in the computational complexity of the ...

and Applied Analysis 3 Now one rewrites 1.1 as the following equivalent system ( x t px t − 1 )′ y1 t , 2.31 y′ 1 t y2 t , 2.32 .. .. y′ N−2 t yN−1 t , 2.3N−1 y′ N−1 t qx t f t . 2.3N 2.3 Let x t , y1 t , . . . , yN−1 t be solutions of system 2.3 on , for n ≤ t < n 1, n ∈ , using 2.3N we obtain yN−1 t yN−1 n qx n t − n ∫ t

Let μ = {μ1, μ2, . . . , μs} and ν = {ν1, ν2, . . . , νt} be two decreasing sequences of positive rational numbers of lengths s ≥ 1 and t ≥ 1, respectively i.e. μ and ν satisfy μ1 > μ2 > . . . > μs and ν1 > ν2 > . . . > νt. Let m = {m1,m2, . . . ,ms} and n = {n1, n2, . . . , nt} be two sequences of positive integers such that m = ∑s i=1mi and n = ∑t i=1 ni. The rows of B are indexed by x = (x1,...

Shooting methods are used to obtain solutions of the three-point boundary value problem for the second order dynamic equation, y = f(x, y, y), y(x1) = y1, y(x3) − y(x2) = y2, where f : (a, b)T × R → R is continuous , x1 < x2 < x3 in (a, b)T, y1, y2 ∈ R, and T is a time scale. It is assumed such solutions are unique when they exist. 2000 AMS Subject Classification: 39B10