We introduce the notion of weakly (strongly) infinite real rank for unital C∗-algebras. It is shown that a compact space X is weakly (strongly) infine-dimensional if and only if C(X) has weakly (strongly) infinite real rank. Some other properties of this concept are also investigated. In particular, we show that the group C∗-algebra C∗ (F∞) of the free group on countable number of generators ha...

User-interface is much more than just a sum of its parts. Therefore, the primary task of a user-interface designer is not to design a set of presentation elements but to design meaningful wholes. The focus of the current paper is in the analysis of the relationships among presentation elements. The underlying objective is to support the design of highly integrated multimodal combinations of pre...

We tested adults and children aged 7 and 14 on the ability to integrate contour elements across variations in the collinearity of the target elements, their spatial proximity, and the relative spacing of the target elements to the background noise elements (Delta). When collinearity was high, the strength of integration for adults was largely independent of spatial proximity and varied only wit...

This paper presents a distance protection test procedure by applying the Real-Time Digital Simulator (RTDS) of a power system. RTDS is a tool to design, develop, and test power-system protection. The RTDS enables real-time computation of electromagnetic phenomena with a calculation time step of even 50μs. The hardware allows the import and export of many signals from the simulator to an ext...

in the mathematical analysis, there are some theorems and definitions that established for both real and fuzzy numbers. in this study, we try to prove  bernoulli's inequality in fuzzy real numbers with some of its applications. also, we prove two other theorems in fuzzy real numbers which are proved before, for real numbers.