The COVID-19 pandemic has prompted numerous challenges for the field of education, particularly medical education and health-related research. However, these obstacles are also an opportunity to advance this academic-medical sphere with increased introduction information technologies creation strategies that focus on quality improvement. Previous research highlighted importance adapting both cl...

In this study an analytical method is developed to obtain the response of electro-magneto-thermo-elastic stress and perturbation of a magnetic field vector for a thick-walled spherical functionally graded piezoelectric material (FGPM). The hollow sphere, which is placed in a uniform magnetic field, is subjected to a temperature gradient, inner and outer pressures and a constant electric potenti...

way to a further divergence between medical researchers, such as comparative anatomists, and clinical practitioners during the era of university reform after the breakup of the Holy Roman Empire and the ReichsdeputationshauptschluJ3 of 1803. The competing cultural politics of the German states provided another public sphere for this theory-practice division. In his conclusions Broman notes that...

In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...

In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...

in this paper, by modifying cheng-yau$'$s technique to complete hypersurfaces in $s^{n+1}(1)$, we prove a rigidity theorem under the hypothesis of the mean curvature and the normalized scalar curvature being linearly related which improve the result of [h. li, hypersurfaces with constant scalar curvature in space forms, {em math. ann.} {305} (1996), 665--672].

The solution of elliptic partial differential equations arises in 3D surface reconstruction and active contours. Most current approaches are iterative including finite element methods (FEM) and finite difference methods (FDM). In this paper, we describe a fast spectral method for solving elliptic equations over the unit sphere. A double Fourier series expansion is applied to model convex or sta...

Fuzzy boundaries of anatomical structures in medical images make segmentation a challenging task. We present a new segmentation method that addresses the fuzzy boundaries problem. Our method maps the lengths of 3D rays cast from a seed point to the unit sphere, estimates the fuzzy boundaries location by thresholding the gradient magnitude of the rays lengths, and derives the true boundaries by ...

Many applications in geomathematics as well as bio–medical applications require the analysis of an unknown target function of a large amount of data, which can be modeled as data on a subset of the surface of a sphere. An important ingredient of this analysis is to develop numerical integration schemes (quadrature formulas) to integrate spherical polynomials of as high a degree as possible exac...