In this paper we first modify a widely used discrete Laplace Beltrami operator proposed by Meyer et al over triangular surfaces, and then establish some convergence results for the modified discrete Laplace Beltrami operator over the triangulated spheres. A sequence of spherical triangulations which is optimal in certain sense and leads to smaller truncation error of the discrete Laplace Beltra...

Peculiar velocities induce apparent line of sight displacements of galaxies in redshift space, distorting the pattern of clustering. On large scales, the amplitude of the distortion yields a measure of the dimensionless linear growth rate β ≈ Ω/b of fluctuations, where Ω if the cosmological density and b is the bias factor. To make the maximum statistical use of the data in a wide-angle redshif...

conclusions by using the normal angle kappa determined in this study, pseudodeviations can be identified more precisely in those who might undergo keratorefractive surgery. results a total of 977 healthy participants who aged 18 to 45 years were included consecutively. the study population consisted of 614 females and 363 males. the average angle kappa was 5.00º ± 1.36º at 240.21º ± 97.17º in m...

in this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted dirichlet spaces or bloch type spaces to $q_k$ type spaces.

einstein, möbius, and proper velocity gyrogroups are relativistic gyrogroups that appear as three different realizations of the proper lorentz group in the real minkowski space-time $bbb{r}^n$. using the gyrolanguage we study their gyroharmonic analysis. although there is an algebraic gyroisomorphism between the three models we show that there are some differences between them. our study focus ...