For Runge–Kutta methods and linear multistep methods, much attention has been paid, in the literature, to special nonlinear stability properties indicated by the terms total-variationdiminishing (TVD), strong-stability-preserving (SSP), and monotonicity. Stepsize conditions, guaranteeing these properties, were studied, e.g., by Shu and Osher [J. Comput. Phys., 77 (1988), pp. 439–471], Gottlieb,...

The classical definition of global hyperbolicity for a spacetime (M, g) comprises two conditions: (A) compactness of the diamonds J(p) ∩ J−(q), and (B) strong causality. Here we show that condition (B) can be replaced just by causality. In fact, we show first that the classical definition of causal simplicity (which impose to be distinguishing, apart from the closedness of J(p), J−(q)) can be w...

This improves an earlier result of the first author for k = n = 2, namely Theorem II below, which dealt with B2 -sequences. This notion arose from a paper of Sidon [6]. A strictly increasing sequence A of natural numbers a,, a2 . . . . is called a B2-sequence, if for any two pairs (i, j) + (k, m) of natural numbers i <j, k < m there holds aj a i + ak a„„ in short, if A has no double-differences...

Suppose J is a two-sided quasi-Banach ideal of compact operators on a separable innnite-dimensional Hilbert space H. We show that an operator T 2 J can be expressed as nite linear combination of commutators A;B] where A 2 J and B 2 B(H) if and only its eigenvalues (n) (arranged in decreasing order of absolute value, repeated according to algebraic multiplicity and augmented by zeros if necessar...

||N ||2 √ |T | ≤ 4σ √ n √ |T | producing the contradiction. If σ ≤ ε 4 /4 √ d, (1) is satisfied. Furthermore, if σ > cε/d, then, with high probability, a CONSTANT FRACTION of the columns j violate the condition ||N·,j ||1 ≤ ε required by previous algorithms to hold for EVERY column. Lemma 2. Suppose k = 1, n ≤ c0d, ||C·,j ||1 = 1 for all j and N has i.i.d. entries drawn from N (0, σ), where, σ ...

The impulsive delay differential equation is considered (Lx)(t) = x'(t) + ∑(i=1)(m) p(i)(t)x(t - τ(i) (t)) = f(t), t ∈ [a, b], x(t j) = β(j)x(t(j - 0)), j = 1,…, k, a = t0 < t1 < t2 < ⋯<t k < t k+1 = b, x(ζ) = 0, ζ ∉ [a, b], with nonlocal boundary condition lx = ∫(a)(b) φ(s)x'(s)ds + θx(a) = c, φ ∈ L ∞ [a, b]; θ, c ∈ R. Various results on existence and uniqueness of solutions and on positivity/...

Background: Gemcitabine (2′, 2′-difluoro-2′- deoxycytidine, an analogue of deoxycytidine) is a relatively new drug with wide range of anti-cancer activity. In this study, radiosensitizing effects of gemcitabine was investigated on HeLa and MRC5 human originated cell lines under both chronically hypoxic and normoxic conditions using the micronucleus (MN) assay. Materials and Methods: F...

Abstract. Let p be a prime for which the congruence group Γ0(p) ∗ is of genus zero, and j∗ p be the corresponding Hauptmodul. Let f be a nearly holomorphic modular form of weight 1/2 on Γ0(4p) which satisfies some congruence condition on its Fourier coefficients. We interpret f as a vector valued modular form. Applying Borcherds lifting of vector valued modular forms we construct infinite produ...

Let $X_{1},...,X_{m}$ be a family of real smooth vector fields defined in $\mathbb{R}^{n}$, $1$-homogeneous with respect to nonisotropic dilations and satisfying Hörmander's rank condition at $0$ (and therefore every point $\mathbb{R}^{n}$). The are not assumed translation invariant any Lie group structure. us consider the nonvariational evolution operator \[ \mathcal{H}:=\sum_{i,j=1}^{m}a_{i,j...

haematologica/journal of hematology vol. 88(05):may 2003 597 associated with intracellular redox changes and elevated plasma tumor necrosis factor-α concentration. Br J Haematol 1997;99:625-31. 8. G, Finazzi S, Maiolo AT. Folate measurement in patients on regular hemodialysis treatment. Am J Kidney Dis 1999; 33:492-7. 9. Trotti R, Carratelli M, Barbieri M, Micieli G, Bosone D, Rondanelli M, et ...