Gauss periods taking exactly two values are closely related to two-weight irreducible cyclic codes and strongly regular Cayley graphs. They have been extensively studied in the work of Schmidt andWhite and others. In this paper, we consider the questionofwhenGauss periods take exactly three rational values.Weobtain numerical necessary conditions for Gauss periods to take exactly three rational ...

We establish a principle that we call the Fatou-Shishikura injection for Newton maps of polynomials: there is dynamically natural from set non-repelling periodic orbits any map to its critical orbits. This obviously implies classical inequality, but it stronger in sense every orbit has own orbit. Moreover, associate forward invariant graph (a puzzle) which provides defined partition Riemann s...

Throughout Belgium’s first century of existence, there have been repeated calls to establish a university in the city Antwerp. It took until late 1950s gain necessary support for this cause. In process, different views on concrete realization project emerged. Because many voices within debate, which also broadened national scale, more rational formulas had make way compromising solution. Instea...

In our current information societies, opportunities for innovative language teaching methodologies are plenty, yet we continue to teach languages as did centuries ago. this paper, I will conduct a critical review of the history learning, institutionalization education, and revolution in order unveil structural material factors that limit methodological innovation hinder development learner auto...

It has been shown that approximate extended Krylov subspaces can be computed –under certain assumptions– without any explicit inversion or system solves. Instead the necessary products A−1v are obtained in an implicit way retrieved from an enlarged Krylov subspace. In this paper this approach is generalized to rational Krylov subspaces, which contain besides poles at infinite and zero also fini...

Webpage is a foundation to electronic commerce (EC), but webpage dispute increase in recently, which impacts the healthy development of EC seriously; however, existing theoretic outcome can’t solve the problem effectively. Therefore, based on analyzing conflict between information sharing and webpage propriety in webpage of EC, the paper demonstrates it by conflict model. Model 1 indicates that...

Soil-structure interaction is interdisciplinary field which involves structural and geotechnical engineering. In the conventional non-interaction analysis of building frame structural designer assumed that columns are resting on unyielding support. Similarly, in foundation design, foundation settlements are calculated without considering the influence of the structural stiffness. Although, inte...

An extensive literature identifies how privately-informed rational people who observe the behavior of other privately-informed rational people with similar tastes may come to imitate those people, emphasizing when and how such imitation leads to inefficiency. This paper investigates not the efficiency but instead the behavior of fully rational observational learners. In virtually any setting ap...