Sentence examples for by taking a spherical from inspiring English sources

Kato had the realization that by taking a spherical average of (psi ), one captures (at least in the one electron case) exactly the s states which have cusps.

Numerical calculations are performed in both the frequency and time domains by taking buried spherical SH-, SH-,and SV- waves in a uniform poroelandic half-space and in a single poroelastic layer over a poroelastic half-space as examples.

We relate the scalar wave function ψ ρ, z, t) to a solution of Maxwell's equation and by taking into account the spherical symmetry of the microsphere this wave function can be described in cylindrical coordinates as psi left(rho, z, tright)= fleft(rho, beta right) exp left{ ileft[left( k cos beta right) z-omega tright]right}kern1em z-omega tright]right}kern1em} (7).

Cut from the center of the top sirloin, this thick (2-inch) medallion of meat domes when grilled, taking on a spherical baseball shape.

The bead has a solid skin, which takes a near spherical shape.

Recently, Asma et al. [18] obtained exact solutions for free convection flow of nanofluids with ramped wall temperature by taking five different types of spherical shaped nanoparticles.

Each ion thus attains a closed outer shell of electrons and takes on a spherical shape.

The basic idea is to use scalar products of the finite-difference solution with spherical harmonic functions taken over a spherical surface concentric with the particle.

This will cause the substance to take on a spherical shape.

The geocentric components of the geomagnetic field in the northward, eastward, and radially inwards directions (X, Y and Z) are obtained from the model coefficients using Equation 1 and by taking the gradient of V in spherical polar co-ordinates X={frac{1}{r}}{frac{partial V}{partial theta }},quad Y=-{frac{1}{ rsin theta }}{frac{partial V}{partial phi }},quad Z={frac{partial V }{partial r}}.

By taking advantage of the orthogonality of the spherical harmonic, it is possible to construct integral formulas to determine the geopoten-tial coefficients.