We demonstrate a new visualization technique to help researchers answer specific questions about 2D vector fields. Rather than directly display the vector field, the visualization isolates the integrable part of the field, integrates it to find a scalar potential, and displays the scalar potential as a height field. Scalar potential representation can be combined with direct field representatio...

The problem of propagation of plane wave including body and surface waves propagating in a transversely isotropic half-space with a depth-wise axis of material symmetry is investigated in details. Using the advantage of representation of displacement fields in terms of two complete scalar potential functions, the coupled equations of motion are uncoupled and reduced to two independent equations...

In this work we consider the problem of estimating function-on-scalar regression models when functions are observed over multi-dimensional or manifold domains and with potentially multivariate output. We establish minimax rates convergence present an estimator based on reproducing kernel Hilbert spaces that achieves rate. To better interpret derived rates, extend well-known links between RKHS S...

We study a Riemannian metric on the cone of symmetric positive-definite matrices obtained from Hessian power potential function (1?det?(X)?)/?. give explicit expressions for geodesics and distance function, under suitable conditions. In scalar case, geodesic between two positive numbers coincides with weighted mean, while size at least it yields notion mean different ones given in literature. A...

We study the late time evolution of flat and negatively curved FriedmannRobertson-Walker (FRW) models with a perfect fluid matter source and a nonminimally coupled scalar field having an arbitrary non-negative potential function V (φ). We prove using the methods of dynamical systems, that equilibria corresponding to non-negative local minima for V are asymptotically stable. We classify all case...

A viable model for inflation driven by a torsion function in Friedmann background is presented. The scalar spectral index the interval $0.92\lesssim n_{s}\lesssim 0.97$ obtained order to satisfy initial conditions inflation. post inflationary phase also studied, and analytical solutions scale factor energy density generalizes that ones matter dominated universe, indicating just small deviation ...

Wavefunctions of a heavy-light quark (Q, q̄) system described by a covariant Dirac hamiltonian are analyzed. By assuming that the confinement potential is a Lorentz scalar (S), the slope of the IsgurWise function is calculated at zero recoil point. The result obtained is ξ(1) = −0.93 ± 0.05. This means that the solutions are perfectly consistent. If relativistic corrections in the light quark wa...

We explain a method for computing the bulk viscosity of strongly coupled thermal plasmas dual to supergravity backgrounds supported by one scalar field. Whereas earlier investigations required the computation of the leading dissipative term in the dispersion relation for sound waves, our method requires only the leading frequency dependence of an appropriate Green’s function in the low-frequenc...