In this paper we initiate a geometrically oriented construction of non-abelian zeta functions for curves defined over finite fields. More precisely, we first introduce new yet genuine non-abelian zeta functions for curves defined over finite fields, by a ‘weighted count’ on rational points over the corresponding moduli spaces of semi-stable vector bundles using moduli interpretation of these po...

In this study, Polyaniline molecule (emeraldine base) is modeled as a molecular wire and the effects of the metal/molecule coupling strength and the molecule length on the current-voltage (I-V) characteristics are numerically investigated. Using a tight-binding Hamiltonian model, the methods based on Non-equilibrium Green’s function theory, Landauer formalism and Newns-Anderson model, our calcu...

The purpose of this study was to develop a two-compartment metabolic model of brain metabolism to assess oxidative metabolism from [1-(11)C] acetate radiotracer experiments, using an approach previously applied in (13)C magnetic resonance spectroscopy (MRS), and compared with an one-tissue compartment model previously used in brain [1-(11)C] acetate studies. Compared with (13)C MRS studies, (11...

Fourteen patients undergoing single aortic or mitral valve replacement had measurements made of lung volumes, static pressure-volume (P-V) relationships, and conductance-pressure relationships during deflation before operation and again between one and two years later. At follow-up, total lung capacity (TLC), functional residual capacity (FRC), residual volume (RV), and static tidal compliance ...

Let Mg be the moduli space of smooth curves of genus g ≥ 2 and let Ag be the moduli space of principally polarized abelian varieties (ppav) of dimension g over C. A (Deligne-Mumford) stable curve of genus g is a reduced, connected and complete curve of arithmetic genus g with only nodes as singularities and with finite automorphism group. We say that a stable curve is of compact type if its gen...

The Griffiths formalism is applied to find constant torsion curves which are extremal for arclength with respect to variations preserving torsion, fixing the endpoints and the binormals at the endpoints. The critical curves are elastic rods of constant torsion, which are shown to not realize certain boundary conditions. In the calculus of variations under nonholonomic constraints, one tries to ...

SiO2/SiC interface was investigated with high spatial resolution by super-higher-order scanning nonlinear dielectric microscopy (SHO-SNDM). Comparison of non-oxidized and thermally oxidized 4H-SiC wafer revealed that only 5 minutes oxidation makes the interface quality spatially inhomogeneous. SiC wafers with and without post oxidation annealing (POA) in NO ambient were also compared, which sho...