We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.

A Snyder model generated by the noncommutative coordinates and Lorentz generators closes a Lie algebra. The application of Heisenberg double construction is investigated for momenta generators. This leads to phase space model. Further, extended algebra constructed using algebra, in one dimension higher. dual pair group then formulated. Two doubles are considered, with conjugate tensorial anothe...

introduction the gamma knife system is designed solely for non-invasive treatment of brain disorders, and it benefits from stereotactic surgical techniques. dose calculations required in the system are performed by gammaplan code; in this code, brain tissue is considered uniform. in the present study, we evaluated the effect of gamma knife system on the obtained dose through simulating a real h...

The coalescent process is a widely used approach for inferring the demographic history of a population, from samples of its genetic diversity. Several parametric and non-parametric coalescent inference methods, involving Markov chain Monte Carlo, Gaussian processes, and other algorithms, already exist. However, these techniques are not always easy to adapt and apply, thus creating a need for al...

BACKGROUND At present, there is no widely accepted classification system for partial-thickness rotator cuff tears, and as a result, optimal treatment remains controversial. PURPOSE To examine the interobserver reliability and accuracy of classifying partial rotator cuff tears using the Snyder classification system. We hypothesized that the Snyder classification would be reproducible with high...

Juvenile delinquency, adolescent antisocial behavior, and conduct problems represent a significant emphasis in extant social science research (Mallett & Stoddard-Dare, 2010; Maschi, Smith Hatcher, Schwalbe, & Scotto Rosato, 2008). This focus may be due, in part, to the relationship between antisocial behaviors and conduct problems, including diagnosable mental health disorders (Shufelt & Cocozz...

A geometrical interpretation of Schr\"odinger's kinetic and potential energy operators is proposed, allowing for a covariant momentum space formulation the dynamics that relevant theories with deformation structure. Some specific examples are discussed in context flat deformations Euclidean Snyder (spherical space) model. In this becomes trivial, while different versions model turn out to be dy...

Introduction The Gamma Knife system is designed solely for non-invasive treatment of brain disorders, and it benefits from stereotactic surgical techniques. Dose calculations required in the system are performed by GammaPlan code; in this code, brain tissue is considered uniform. In the present study, we evaluated the effect of Gamma Knife system on the obtained dose through simulating a real ...