Article history: Received 11 October 2013 Received in revised form 27 January 2014 Accepted 6 March 2014 Available online 18 March 2014

One of the most conventional toppling instabilities is the block-flexural toppling failure that occurs in civil and mining engineering projects. In this kind of failure, some rock columns are broken due to tensile bending stresses, and the others are overturned due to their weights, and finally, all of the blocks topple together. A specific feature of spheroidal weathering is the rounding of th...

An analytical description of transmembrane voltage induced on spherical cells was determined in the 1950s, and the tools for numerical assessment of transmembrane voltage induced on spheroidal cells were developed in the 1970s. However, it has often been claimed that an analytical description is unattainable for spheroidal cells, while others have asserted that even if attainable, it does not b...

We investigate the properties of r-mode and inertial mode of slowly rotating, non-isentropic, Newtonian stars, by taking account of the effects of the Coriolis force and the centrifugal force. The Coriolis force is the dominant restoring force for both r-mode and inertial mode, which are also called rotational mode in this paper. For the velocity field produced by the oscillation modes the r-mo...

We construct asymptotic formulae for the approximation of certain prolate spheroidal wave functions and of the corresponding eigenvalues. We investigate two regimes: when the ratio c/m decays, and when both c and m grow, but the ratio c/m stays bounded. Both the regions of validity and the accuracies of the obtained expansions are illustrated with numerical examples. © 2006 Elsevier Inc. All ri...

Both the eigenfunctions and the local density of states (DOS) near the pentagonal defects on the fullerenes was calculated analytically as a numerically. The results shows that the low-energy DOS has a cusp which drops to zero at the Fermi energy for any number of pentagons at the tip except three. For three pentagons, the nonzero DOS across the Fermi level is formed. Graphite is an example of ...

Abstract The study on the excitations of whispering gallery mode (WGM) resonances optical bottle microresonator (BMR) partially coated with a thin gold Au metal film is presented. BMR was fabricated through “soften-and-compress” technique small section standard fibre. Depositing particles spheroidal curvature surface yields metal-film meniscus profile 200 nm maximum thickness and tapered edges....

The FIR filter design problem is considered with respect to a combined integrated squared error-Chebyshev error criterion. Truncation of the DTFT of the desired frequency response with tapered windows is introduced and the discrete prolate spheroidal window is shown to be a good window for this purpose, due to its optimal mainlobe width-sidelobe energy tradeoff. The discrete prolate spheroidal ...

A new geometrical model for the fundamental mode of a Gaussian beam is presented in the oblate spheroidal coordinate system. The model is an interpretation of a Gaussian amplitude wave function, which is an exact solution of the scalar Helmholtz equation. The model uses the skew-line generator of a hyperboloid of one sheet as a raylike element on a contour of constant amplitude. The geometrical...