The Lagrangian transport of a passive scalar in a class of incompressible, random stationary velocity fields, termed “random-vortex” models, is studied. These fields generally consist of random distributions of finite-sized elementary vortices in space with zero mean velocity in the presence of molecular diffusion D. The effects of vortex density, vortex strength, and sign of the vorticity on t...

Let G^s be a signed graph, where G = (V;E) is the underlying simple graph and s : E(G) to {+, -} is the sign function on E(G). In this paper, we obtain k-th signed spectral moment and k-th signed Laplacian spectral moment of Gs together with coefficients of their signed characteristic polynomial and signed Laplacian characteristic polynomial are calculated.

The scalar coupling constants between protons, nitrogens, and phosphorus in the metal complex chloro(triphenylphosphine)bis[bis(1-pyrazolyl)methane]ruthenium(II) chloride, [RuCl(PPh3)(BPM)2]Cl (1), were measured with a set of specially adapted NMR experiments. The absolute sign of the coupling constants was determined by relating the signs of the measured couplings to that of a one-bond proton-...

We construct a consistent supersymmetric action for brane chiral and vector multiplets in a six-dimensional chiral gauged supergravity. A nonzero brane tension can be accommodated by allowing for a brane-localized Fayet-Iliopoulos term proportional to the brane tension. When the brane chiral multiplet is charged under the bulk U(1)R, we obtain a nontrivial coupling to the extra component of the...

In this paper we propose a new and improved implicit vector field surface representation to perform mesh fusion in the reconstruction process of 3D objects from scanned data. This new representation is an extension of the implicit scalar field distance function of a mesh. We show our new vector field function is more accurate than the classic scalar field function by comparing both representati...

Residual dipolar couplings are being increasingly used as structural constraints for NMR studies of biomolecules. A problem arises when dipolar coupling contributions are larger than scalar contributions for a given spin pair, as is commonly observed in solid state NMR studies, in that signs of dipolar couplings cannot easily be determined. Here the sign ambiguities of dipolar couplings in fiel...