Vector spherical harmonic analyses have been used successfully to solve laminar and mean-field magnetohydrodynamic dynamo problems with interactions, such as the laminar induction term, anisotropic alpha-effects and anisotropic diffusion, which are difficult to analyse spectrally in spherical geometries. Spectral forms of the non-linear rotating Boussinesq and anelastic momentum, magnetic field...

It is shown that, adopting a polar-like kinematic description of the Cartesian unicycle nonholonomic vehicle in order to prevent Brocketts negative result, a stabilizing time-invariant feedback law can be simply obtained projecting a suitable holonomic linear velocity on the nonholonomic linear velocity axis and superimposing an angular velocity that asymptotically steers such axis parallel to ...

The local speeds of object contours vary systematically with the cosine of the angle between the normal component of the local velocity and the global object motion direction. An array of Gabor elements whose speed changes with local spatial orientation in accordance with this pattern can appear to move as a single surface. The apparent direction of motion of plaids and Gabor arrays has various...

Defining the four vectors n and τ of Abramowicz’s covariant formalism of inertial forces, in terms of the lapse function α, shift vector β, the metric γij and the velocity 3-vector V , we derive the components of centrifugal and Coriolis accelerations acting on a fluid element with four velocity U. We show that while for purely radial flow the centrifugal acceleration component is zero in stati...

It turns out that the standard application of four-vector SR formalism does not include concept relative velocity. Only absolute velocity is described by four-vector, and even Lorentz transformation parameters three-dimensional This gap in development reflects lack some significant subtraction operations. The differential these operations leads to a relativistic acceleration.

This paper presents a new methodology to retrieve slantrange velocity estimates for moving targets with speeds inducing Doppler-shifts beyond the Nyquist limit imposed by the Pulse Repetition Frequency (PRF ). The proposed approach exploits the linear dependency of the Dopplershift with the slant-range velocity for each fast-time frequency. Therefore, the echo from a moving target in the twodim...

This paper presents two neural network approaches to minimum infinity-norm solution of the velocity inverse kinematics problem for redundant robots. Three recurrent neural networks are applied for determining a joint velocity vector with its maximum absolute value component being minimal among all possible joint velocity vectors corresponding to the desired end-effector velocity. In each propos...

In this paper, a system identification method for hybrid systems switched by the magnitude of velocity is proposed. First, it is shown that the regression vector space of a mechanical system switched by the magnitude of velocity cannot be separated by a hyperplane. Then a method based on support vector machines with a polynomial kernel is proposed. The effectiveness of the proposed method is sh...

In this paper, numerical simulation for a two-dimensional viscous and incompressible flow past the elliptical airfoil is presented by Random Vortex Blob (RVB). RVB is a numerical technique to solve the incompressible, two-dimensional and unsteady Navier-Stocks equations by converting them to rotational non-primitive formulations. In this method, the velocity vector at a certain point can be cal...