A recent study (Lake et al., 2009); reported the properties of human supraspinatus tendon (SST) tested along the predominant fiber direction. The SST was found to have a relatively disperse distribution of collagen fibers, which may represent an adaptation to multiaxial loads imposed by the complex loading environment of the rotator cuff. However, the multiaxial mechanical properties of human S...

Abstract Redshift evolution and peculiar velocities break the isotropy of cosmological surveys with respect to directions parallel transverse line sight, limiting accuracy Fourier representation small areas redshift ranges. In contrast space power spectrum, full information about two-point function tracers large-scale structure is encapsulated in redshift-dependent angular spectrum C ij ℓ ( z i...

A computationally efficient method for generating virtual periodic representative volume element (RVE), capable of handling arbitrary inclusion shapes, is developed. universal collision/overlap detection and repair proposed, where each shape represented as a union n-Spheres (UnS). constrained optimization problem formulated solved to remove overlaps; closed-form solution derived calculating the...

Anisotropy is widespread in the Earth’s crust, and VTI (vertical axis symmetry transverse isotropy) anisotropy common due to stratigraphic pressure. Disregarding leads inaccurate inversion results media. To estimate accurate elastic parameters, exact reflection coefficient equation of media should be used. This nonlinear more than commonly used linear equation. Although based on a complex probl...

Conventional lattice Boltzmann models only satisfy moment isotropy up to fourth order. In order to accurately describe important physical effects beyond the isothermal NavierStokes fluid regime, higher-order isotropy is required. In this paper, we present some basic results on moment isotropy and its relationship to the rotational symmetry of a generating discrete vector set. The analysis provi...

We examine statistical isotropy of large scale anisotropies of the Internal Linear Combination (ILC) map, based on three year WMAP data. Our study reveals no significant deviation from statistical isotropy on large angular scales of 3-year ILC map. Comparing statistical isotropy of 3-year ILC map and 1-year ILC map, we find a significant improvement in 3-year ILC map which can be due to the gai...

An orthogonal involution on a central simple algebra becoming isotropic over any splitting field of the algebra, becomes isotropic over a finite odd degree extension of the base field (provided that the characteristic of the base field is not 2). Our aim is a proof of the following result, generalizing the hyperbolicity statement of [5]: Theorem 1. Let F be a field of characteristic not 2, A a ...

This paper introduces a new 4-revolute (4R) serial manipulator having a non-trivial path of positioning isotropy. A manipulator is said isotropic if its Jacobian matrix can reach isotropic values—i.e. the minimum condition numLucber of unity—at least at a single posture within its workspace (Salisbury and Craig, 1982). The design of manipulators able to reach isotropy is of particular interest ...

In this paper, we show universal lower bounds for isotropic algorithms, that hold for any algorithm such that each new point is the sum of one already visited point plus one random isotropic direction multiplied by any step size (whenever the step size is chosen by an oracle with arbitrarily high computational power). The bound is 1−O(1/d) for the constant in the linear convergence, as already ...