background: some types of implants used for orbital implantation have side effects and complications. in this study we have evaluated beta-tricalcium phosphate (ß-tcp: chronos) granules as an orbital implant.   methods: eighteen rabbits randomly allocated to four groups. right eye enucleation performed in groups i to iii followed by filling with autologous bone particles (n=5), a mixture of aut...

Certain fully nonlinear elliptic Partial Differential Equations can be written as functions of the eigenvalues of the Hessian. These include: the Monge-Ampère equation, Pucci’s Maximal and Minimal equations, and the equation for the convex envelope. In this article we build convergent monotone finite difference schemes for the aforementioned equations. Numerical results are presented.

We give general spectral and eigenvalue perturbation bounds for a selfadjoint operator perturbed in the sense of the pseudo-Friedrichs extension. We also give several generalisations of the aforementioned extension. The spectral bounds for finite eigenvalues are obtained by using analyticity and monotonicity properties (rather than variational principles) and they are general enough to include ...

In this paper, I will explore basic properties of the group PSL(2,R). These include the relationship between isometries of H2, Möbius transformations, and matrix multiplication. In addition, this paper will explain a method of characterizing the aforementioned transformations by the trace of their matrices through looking at the number of xed points of a transformation.

. As suggested by Konstan and Riedl [66], user-contributed content is one of the vast and important data resources in recommender systems. It includes users’ tags, reviews, playlists, blog posts and micro-blogging content, forums, etc. Although the aforementioned list include the mostly agreed upon forms of user-contributed content, an extreme view can even consider ratings of users or the trus...