In the analytic study of trace functions of `-adic sheaves over finite fields, a crucial issue is to control the conductor of sheaves constructed in various ways. We consider cohomological transforms on the affine line over a finite field which have trace functions given by linear operators with an additive character of a rational function in two variables as a kernel. We prove that the conduct...

For a non-trivial additive character ψ and multiplicative character χ on a finite field Fq , and rational functions f, g in Fq(x), we show that the elementary Stepanov-Schmidt method can be used to obtain the corresponding Weil bound for the sum ∑ x∈Fq\S χ(g(x))ψ(f(x)) where S is the set of the poles of f and g. We also determine precisely the number of characteristic values ωi of modulus q1/2 ...

This paper describes a method to extract words from table regions in document images. The proposed approach consists of two stages: cell detection and word extraction. In the cell detection module, a table frame is extracted first by analyzing connected components and then intersection points are detected by a method using masks in the table frame. We correct false intersections, and detect the...

the purpose of this study is a reflection on the approaches to values education and its development at the education system of iran. in this article, we have used analytical and descriptive methods. research findings show that values education is inherent component of education and values have to be translated to students on basis of rational processes and free will. also, it seems that some of...

In this paper, we compute the signatures of the contravariant form on Specht modules for the cyclotomic Hecke algebra and compute the signature character of the contravariant form on the polynomial representation of the rational Cherenik algebra associated toG(r, 1, n).

This paper is concerned with the values of Harish-Chandra characters of a class of positive-depth, toral, very supercuspidal representations of p-adic symplectic and special orthogonal groups, near the identity element. We declare two representations equivalent if their characters coincide on a specific neighbourhood of the identity (which is larger than the neighbourhood on which the Harish-Ch...

Much can be learned about a finite group from its character table, but sometimes that table can be difficult to compute. Supercharacter theories are generalizations of character theory, defined by P. Diaconis and I.M. Isaacs in [8], in which certain (possibly reducible) characters called supercharacters take the place of the irreducible characters, and a certain coarser partition of the group t...

Results of F. Özbudak on the existence of elements in a finite extension of a finite field with specified order and at which given rational functions have specified traces over the ground field are obtained by the method of character sums. There are significant applications to the construction of ordered arrays.

The Kauffman bracket skein modules, S(M,A), have been calculated for A = ±1 for all 3-manifolds M by relating them to the SL2(C)-character varieties. We extend this description to the case when A is a 4th root of 1 and M is either a surface × [0, 1] or a rational homology sphere (or its submanifold).

A new high speed word matching algorithm for handwritten Chinese character recomition is presented. A continuous string without delimiting space is recognized in real time by using this algorithm. Errors and rejects of an optical character reader arc corrected to meaningful characters with the help of a dictionary. This algorithm uses a finite state automaton (FSA); the FSA's transition table i...