We show that the V CMB velocities of the Fundamental Plane (FP) clusters studied in the Hubble Key Project appear to contain the same discrete " velocities " found previously by us and by Tifft to be present in normal galaxies. Although there is a particular Hubble constant associated with our findings we make no claim that its accuracy is better than that found by the Hubble Key Project. We do...

We prove that there is a unique folding tessellation of the sphere and an infinite family of folding tessellations of the plane with prototiles a kite and an equilateral triangle. Each tiling of this family is obtained by successive gluing of two patterns composed of triangles and kites, respectively. The combinatorial structure and the symmetry group is achieved.

BACKGROUND/PURPOSE To evaluate the relationship between refractive error and vision-related quality of life in 16-year-old students in Taiwan. METHODS A cross-sectional study was designed for 16-year junior-high-school students in Taiwan. Myopia was defined as a spherical refractive error (SRE) < -0.50 D, hyperopia as SRE > +1.0 D, and emmetropia as SRE -0.5-+1.0 D in the better eye. Vision-r...

Torsional vibrations of composite poroelastic dissipative spherical shell are investigated in the framework of Biot’s extension theory.Here composite poroelastic spherical shell consists of two spherical shells, one is placed on other, and both are made of different poroelastic materials. Consideration of the stress-free boundaries of outer surface and the perfect bonding between two shells lea...

purpose : to determine the association between astigmatism and spherical refractive error in a clinical population methods : in this cross-sectional study, 2,000 patients who presented to our optometry clinic were enrolled. all were tested for objective refraction with a nidek ar-310a auto refractometer, and non-cycloplegic refraction. for those under 15 years of age, cycloplegic refraction was...

this paper presents an exact analytical solution for two-dimensional conductive heat transfer in spherical composite pressure vessels .the vessels are in spherical shape and fibers are winded in circumferential direction. the analytical solution is obtained under the general boundary conditions which consist of convection, conduction and radiation inside/outside of vessel. the heat transfer equ...

A non-spherical model for bubble formation at an ori"ce with liquid cross-#ow has been developed. The interface element approach is applied to describe the dynamics of bubble formation. The e!ect of liquid cross-#ow on the bubble formation process is modelled by a combination of tilting of the bubble axis and liquid pressure analysis of each element on the bubble interface. Model predictions co...