In this paper, we give estimates of character sums of Weil type. They are associated with polynomials and rational functions with coefficients in a quadratic extension k2 of a finite field k of q elements, additive and multiplicative characters of k2, and summed over the kernel of the norm map from k× 2 to k×. The bounds are of the magnitude O( √ q) with the implied constant depending on the de...

The degree of charge transfer and the upper critical field of the organic superconductor ~MDT-TSF!(AuI2)x have been investigated ~MDT-TSF: methylenedithio-tetraselenafulvalene!. The x-ray oscillation photograph indicates that the anion lattice is incommensurate with the donor lattice, and the chemical composition is ~MDT-TSF!(AuI2)0.44 . The charge-transfer degree of this salt is 0.44. The elec...

Let G be a finite group and let cd(G) be the set of irreducible ordinary character degrees of G. The degree graph of G is the graph ∆(G) whose set of vertices is the set of primes dividing degrees in cd(G), with an edge between primes p and q if pq divides some degree in cd(G). We determine the graph ∆(G) for the finite simple groups of types B`, C`, D` and D`; that is, for the simple orthogona...

objectives: according to the gateway drug theory, tobacco use is a predisposing factor for future substance abuse. this study was conducted to compare nicotine and opiate dependents to identify the differences between their personality traits and psychopathology that makes them turn to other substances after cigarette smoking. methods: a causal-comparative study was conducted. three groups were...

Catchwords refer to popular words or phrases within certain area in certain period of time. In this paper, we propose a novel approach for automatic Chinese catchwords extraction. At the beginning, we discuss the linguistic definition of catchwords and analyze the features of catchwords by manual evaluation. According to those features of catchwords, we define three aspects to describe Popular ...

For us, readers of Chaucer living in an age when appeal to religious passions and sentiments as a means for the realization of worldly objectives by some charlatans has grown significantly, reviewing the theme of religious hypocrisy treated in The Canterbury Tales can be useful in a way that it proves a helpful means for recognizing and dealing with the hypocrites. The Pardoner of the Tales is ...

In this paper we will give the character table of the irreducible rational representations of G=SL (2, q) where q= , p prime, n>O, by using the character table and the Schur indices of SL(2,q).

Orbital degree of freedom of electrons and its interplay with spin, charge and lattice degrees of freedom are one of the central issues in colossal magnetoresistive manganites. The orbital degree of freedom has until recently remained hidden, since it does not couple directly to most of experimental probes. Development of synchrotron light sources has changed the situation; by the resonant x-ra...