T HE GOAL OF THIS PROJECT is to develop a unique simulation environment that can be used to increase students' in terest and expertise in Computer Science curriculum. Handson experience with physical or simulated equipment is an essential ingredient for learning, but many approaches to training develop a separate piece of equipment or software for each topic area. We describe the development of...

In the current manuscript, we intend to investigate existence, uniqueness, and stability of positive solution in relation a fractional version variable order thermostat model equipped with nonlocal boundary values Caputo sense. fact, will get help from constant piece-wise functions for transforming our into an auxiliary standard thermostat. By Guo-Krasnoselskii’s fixed point theorem on cones, d...

This paper discusses the problem of using feedback and coordinates transformation in order to transform a given nonlinear system with outputs into a controllable and observable linear one. We discuss separately the effect of change of coordinates and, successively, the effect of both change of coordinates and feedback transformation. One of the main results of the paper is to show what extra co...

A multi-domain spectral method is presented to compute the Hilbert transform on whole compactified real line, with a special focus piece-wise analytic functions and algebraic decay towards infinity. Several examples of these other types are discussed. As an application solitons generalized Benjamin–Ono equations constructed.

Abstract It is shown that for any given multi-dimensional probability distribution with regularity conditions, there exists a unique coordinate-wise transformation such the transformed satisfies Stein-type identity. A sufficient condition existence referred to as copositivity of distributions. The proof based on an energy minimization problem over totally geodesic subset Wasserstein space. resu...

We consider two popular, permutation-based, step-down procedures of p-values adjustment in multiple testing problems known as min P and max T and intended for strong control of the family-wise error rate, under the so-called subset pivotality property (SPP). We examine key but subtle issues involved in ascertaining validity of these methods, and also introduce a new, slightly narrower notion of...