A finite group $G$ is called rational if all its irreducible complex characters are rational valued. In this paper we discuss about rational groups with Sylow 2-subgroups of nilpotency class at most 2 by imposing the solvability and nonsolvability assumption on $G$ and also via nilpotency and nonnilpotency assumption of $G$.

this paper seeks to trace some of the roots and problems of the rational view of innovation. concentrating primarily upon product innovation, we point out that the eighteenth century notion of social progress in the light of reason has gradually given an enormous impetus to a rational view of product innovation in modern organizations. we summarize several decades of research into management of...

This paper extends the theory of belief functions by introducing new concepts and techniques, allowing to model the situation in which the beliefs held by a rational agent may only be expressed (or are only known) with some imprecision. Central to our approach is the concept of intervalvalued belief structure, defined as a set of belief structures verifying certain constraints. Starting from th...

Improving the quality of tennis teaching and learning is an important part modernization education in China. The limitations traditional evaluation methods have made them controversial, it crucial to improve scientific, rational, timely tenn quality. Therefore, necessary establish a scientific rational model for evaluate education. Based on principle constructing perfect system, this paper anal...

In nonmonotonic reasoning, Lehmann's preferential System P is known to provide reasonable but very cautious conclusions, while the inference machinery may still remain too cautious or on the contrary provide counter-intuitive conclusions when using the rational closure inference. These two types of inference can be represented using a possibility theory-based semantics. Remedies to the above pr...

T he Internet is a wonderful research tool. With the click of a mouse, you can beam yourself into what seems an infinite number of important lectures by eminent thinkers around the world. Just such an opportunity awaits if you search for Richard A. Muller, professor of physics at the University of California, berkeley. The results of such a search include a video of Professor Muller castigating...

Networking and security researchers must grapple with the following four potential constraints in the course of their work: (i) legal issues, (ii) institutional policies, (iii) community norms and (iv) personal ethics. These possible constraints can be intertwined and inform one another. In this position paper we set aside all except the third constraint: community norms. We do not mean to dimi...

Face frontalization is a rising technique for view-invariant face analysis. It enables a non-frontal facial image to recover its general facial appearances to frontal view. A few pioneering works have been proposed very recently. However, face frontalization with detailed facial expression recovering is still very challenging due to the non-linear relationships between head-pose and expression ...