Polynomial vector fields which admit a prescribed Darboux integrating factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane may remove degeneracies of the curve, and thus allow more structural insight. In the present paper we establish some properties of integrating factors subjected to morphisms, and we...

Strong gravitational lensing and stellar dynamics provide two complementary and orthogonal constraints on the density profiles of galaxies. Based on spherically symmetric, scale-free, mass models, it is shown that the combination of both techniques is powerful in breaking the mass-sheet and mass-anisotropy degeneracies. Second, observational results are presented from the Lenses Structure & Dyn...

The accelerating expansion of the universe suggests that an unknown component with strongly negative pressure, called dark energy, currently dominates the dynamics of the universe. Such a component makes up ∼ 70% of the energy density of the universe yet has not been predicted by the standard model of particle physics. The best method for exploring the nature of this dark energy is to map the r...

We extract, from a quark model potential that reproduces the number and ordering of nonstrange baryonic resonances up to 2.3 GeV, the quantum numbers for the dominant configurations in the ground and first non-radial excited states. From the pattern of quantum numbers we identify, from data, spectral regularities that allow us to predict the expected high spin low-lying spectrum from 2.3 to 3.0...

LINGFANG ZENG, CHAO JIN, BHARADWAJ VEERAVALLI AND DAN FENG Wuhan National Laboratory for Optoelectronics School of Computer Huazhong University of Science and Technology Wuhan, 430074 P.R. China Data Storage Institute 117608 Singapore Department of Electrical and Computer Engineering National University of Singapore 117576 Singapore E-mail: {lfzeng; dfeng}@hust.edu.cn; [email protected]...

After 100 years of effort, the classification of all the finite subgroups of SU(3) is yet incomplete. The most recently updated list can be found in [3], where the structure of the series (C) and (D) of SU(3)-subgroups is studied. We provide a minimal set of generators for one of these groups which has order 162. These generators appear up to phase as the image of an irreducible unitary braid g...

The topological structure of scalar, vector, and second-order tensor fields provides an important mathematical basis for data analysis and visualization. In this paper, we extend this framework towards higher-order tensors. First, we establish formal uniqueness properties for a geometrically constrained tensor decomposition. This allows us to define and visualize topological structures in symme...

Background: The application of methotrexate (MTX) as a chemotherapy agent and immune system suppressant has various side effects. Crocin, a xanthine derivative plant, has many therapeutic benefits. This study was planned to assess the effect of crocin on renal toxicity of MTX in a rat model. Methods: Forty eight rats were divided randomly into eight groups (n = 6), which received normal saline,...

Introduction: Research has shown that gold nanoparticles (AuNPs) can damage the physiological processes of brain tissue. Given the antioxidant properties of gingerol (GING), this study aimed to determine the protective effect of 6-gingerol on hippocampal levels of brain-derived neurotrophic factor (BDNF), nerve growth factor (NGF), DNA oxidative damage, and the amount of Bax and Bcl2 apoptosis ...

We compute the group of Morita self-equivalences (the Picard group) of a Poisson structure on an orientable surface, under the assumption that the degeneracies of the Poisson tensor are linear. The answer involves mapping class groups of surfaces, i.e., groups of isotopy classes of diffeomorphisms. We also show that the Picard group of these structures coincides with the group of outer Poisson ...