For a simple graph G, the energy E(G) is defined as the sum of the absolute values of all the eigenvalues of its adjacency matrix A(G). Let n,m, respectively, be the number of vertices and edges of G. One well-known inequality is that E(G) ≤ λ1 + √ (n− 1)(2m − λ1), where λ1 is the spectral radius. If G is k-regular, we have E(G) ≤ k + √ k(n− 1)(n − k). Denote E0 = k + √ k(n − 1)(n − k). Balakri...

1062 ABSTRACT Background: Dietary supplementation with nutrients rich in antioxidants is associated with inhibition of atherogenic modifications to LDL, macrophage foam cell formation, and atherosclerosis. Pomegranates are a source of polyphenols and other antioxidants. Objective: We analyzed, in healthy male volunteers and in atherosclerotic apolipoprotein E–deficient (E0) mice, the effect of ...

We determine the underlying shapes of spiral and elliptical galaxies in the Sloan Digital Sky Survey Data Release 6 from the observed distribution of projected galaxy shapes, taking into account the effects of dust extinction and reddening. We assume that the underlying shapes of spirals and ellipticals are well approximated by triaxial ellipsoids. The elliptical galaxy data are consistent with...

Let κ be an inaccessible cardinal, and let E0 = {x ∈ Pκκ : cf λx = cf κx} and E1 = {x ∈ Pκκ : κx is regular and λx = κx }. It is consistent that the set E1 is stationary and that every stationary subset of E0 reflects at almost every a ∈ E1.

Methods and Results-—Clinical studies that evaluated invasive LVFP changes in response to exercise/other interventions and echocardiographic E/e0 were identified from PubMed, Scopus, Embase, and Cochrane Library databases. We grouped and evaluated studies that included patients with preserved LV ejection fraction (LVEF), patients with mixed/reduced LVEF, and patients with specific cardiac condi...

Studying Jone’s polynomials in node theories, their generalization and their connections with ”vertex models” in two-dimensional statistical mechanics, Witten presents Hoph algebra deformations of the universal enveloping algebra su(2). There is a family of associative algebras depending on a real parameter p. These algebras are given by the generators E0, E+, E− and relations [2]: pE0E+ − 1 p ...

The spins and parities of low-lying states in $^{72}\mathrm{Br}$ populated the $\ensuremath{\beta}$ decay $^{72}\mathrm{Kr}$ have been studied via conversion electron spectroscopy. measurements were carried out at ISOLDE using a miniorange spectrometer with Si(Li) HPGe detectors for electrons $\ensuremath{\gamma}$ ray detection. Results coefficients corresponding to transitions deexciting 12 le...

Strong collision falloff curves for barrierless recombination reactions at low temperatures are calculated taking into account transitional modes only. Specific rate constants k(E, J ) from statistical adiabatic channel/classical trajectory (SACM/CT) calculations are used. Broadening factors of the falloff curves are found to depend only weakly on the temperature. A systematic analysis of the i...