For every fixed graph H, we determine the H-covering number of Kn, for all n > n0(H). We prove that if h is the number of edges of H, and gcd(H) = d is the greatest common divisor of the degrees of H, then there exists n0 = n0(H), such that for all n > n0, C(H,Kn) = d dn 2h dn− 1 d ee, unless d is even, n = 1 mod d and n(n− 1)/d+ 1 = 0 mod (2h/d), in which case C(H,Kn) = d ( n 2 ) h e+ 1. Our m...

To search for novel compounds with potent anti-angiogenic activity, a series of N(1)-(substituted benzyl)-3-(4-methylphenyl)-1H-indazoles (16, 18, 20, 22, 24, 26, 28, 30, 32) and N(2)-(substituted benzyl)-3-(4-methylphenyl)-2H-indazoles (17, 19, 21, 23, 25, 27, 29, 31, and 33) were synthesized. The structures of these regioisomers were established by IR, UV, and NMR spectral data. 3-(4-Methylph...

Three new Prussian blue analogues, heptanuclear mixed-valence iron complexes of the type [Fe(II)(CN)(6){Fe(III)(1(-2H))}(6)]Cl(2)·nH(2)O, were synthesized and structurally and spectrally characterized, and their magnetic properties were investigated (1(-2H) corresponds to doubly deprotoned Schiff-base pentadentate ligands 1a, N,N'-bis(2-hydroxybenzylidene)-1,5-diamino-3-azapentane, 1b, N,N'-bi...

Changes in potassium (K) concentration in erythrocytes (RBC) were investigated during the early developing stage (1 and 2 weeks after) and the chronic established stage (12 to 16 weeks after the renal artery constriction) in two-kidney (group 2H) and one-kidney Goldblatt hypertension (group 1H) of the rabbit. In both group 2H and group 1H, blood pressure was already elevated significantly durin...

The title compound, N′1,N′4-bis(2-(7,8-dimethyl-2,4-dioxo-3,4-dihydrobenzo[g]pteridin-10(2H)-yl)ethylidene)succinohydrazide (1), was obtained by the reaction of formylmethylflavin and succinic acid dihydrazide. product 1 characterized 1H-NMR, 13C-NMR, HRMS UV.

Let L (x, t) = 2H R t 0 δ(B s − x)s ds be the weighted local time of fractional Brownian motion B with Hurst index 1/2 < H < 1. In this paper, we use Young integration to study the integral of determinate functions R R f(x)L (dx, t). As an application, we investigate the weighted quadratic covariation [f(B), B ] ) defined by [f(B), B ] (W ) t := lim n→∞ 2H n−1