Consequently, 3-D velocity-fields around the spheres are obtained by the reconstructed particles' positions.
The answer is that the interactions take place by (unique and shared) functions in the external fields of institutional spheres.
Figure 5 ZFC/FC measurement of m(T) at 500 Oe for fields applied parallel (spheres) and perpendicular (diamonds) to the film surface.
We thus believe that the external fields of institutional spheres must be overlapping so that interactions can occur, but the internal cores should be separated or relatively independent for generating interactions.
b Near-field enhancement underneath the spheres leads to the parallel nanodrilling of the film.
The Yang-Mills measure for gauge fields over the two-sphere is constructed using a conditioned white-noise process.
In this paper we describe algorithms for the numerical computation of Fourier transforms of tensor fields on the two-sphere, S2.
The evaluation of acoustic fields induced in inhomogeneous spheres by external sources, based on volume integral equations, is simplified considerably using Ivakin's integral equation and the use of the well-known expansion for the Green dyadic.
The effectiveness and accuracy of the method is demonstrated in application to simple test cases which involve the calculation of transient sound fields generated by pulsating spheres and cylinders excited from rest in an unbounded region.
The velocity fields inside and around porous spheres with infiltrated peripheral shells were solved for three different far-field flows: simple shear, planar elongation and uniaxial extension.
where (G(A)={ vartheta in {mathbb {R}}^{n-1}:exists eta =eta (vartheta) text {with } (vartheta ^{T},eta)^T in A }) and ((mathfrak {B}^n cap mathbb {S})^+) denotes the Borel σ-field on the upper half-sphere of (mathbb {S}).
