Finite fields

In this paper, we conduct a new analysis on the complexity of the same. We also remove the restriction of using a primitive polynomial to generate the matrix by using an arbitrary monic polynomial over a finite field whose independent term is distinct from zero.

15p viyoko 01-10-2024 5 1   Download

This paper presents an efficient and accurate numerical technique based upon the scaled boundary finite element method for the analysis of two-dimensional, linear, second-order, boundary value problems with the domain completely described by a circular defining curve.

11p vifilm 24-09-2024 3 1   Download

In the field of structural dynamics, the structural responses in the time domain are of major concern. There already exist many methods proposed previously including widely used direct time integration methods such as ones in the β-Newmark family, Houbolt’s method, and Runge–Kutta method.

12p vifilm 24-09-2024 3 1   Download

The paper presents a method of controlling thermal cracks by splitting concrete placement horizontally into layers at different levels of a structure, based on the finite element analysis.

7p viyoko 24-09-2024 1 0   Download

An improved six-node triangular finite element based on a twice-interpolation strategy (TIS) for accurately modeling singular stress fields near crack tips of two-dimensional (2D) cracks in solids is presented. In contrast to the traditional approaches, the approximation functions constructed based on the TIS involve both nodal values and averaged nodal gradients.

9p vidoctorstrange 06-05-2023 7 3   Download

This thesis derives closed form equations to describe electromagnetic device characteristics for a toroid, solenoid and a case study induction machine. By considering stored magnetic field energy, this approach allows the relationship between electrical, magnetic and kinetic energy to be quantified and analyzed in ways that allows improved accuracy compared with conventional magnetic circuit modeling methods. This thesis also provides insights into how geometric parameters impact energy transfer and operational characteristics of electromagnetic devices.

112p runthenight04 02-02-2023 6 2   Download

Objectives: The aim of the thesis is to develop Mickens’ methodology to construct NSFD methods for solving some important classes of differential equations arising in fields of science and technology.

26p extraenglish 24-05-2021 20 3   Download

In this paper, the subproblem method with using edge finite elements is proposed for coupling subproblems via several steps to treat and deal with some troubles regarding to electromagnetic problems that gets quite difficulties when directly applying a finite element method. In the strategy subproblem method, it allows a complete problem to define into several subproblems with adapted dimensions. Each subproblem can be solved on its independent domain and mesh without performing in whole domain or mesh. This easily supports meshing and decreases computing time.

7p larachdumlanat127 02-01-2021 18 2   Download

This paper introduces a new analytical method for performing the output torque calculations of an interior permanent magnet synchronous motor (IPMSM) including both permanent magnet and reluctance torque components.

5p dunghjt 09-11-2013 52 3   Download

A Pierre Deligne, a l ’occasion de son 60-i`me anniversaire, ` e en t´moignage de profonde admiration e Abstract If V is a smooth projective variety defined over a local field K with fi¯ nite residue field, so that its ´tale cohomology over the algebraic closure K is e supported in codimension 1, then the mod p reduction of a projective regular model carries a rational point. As a consequence, if the Chow group of 0-cycles of V over a large algebraically closed field is trivial, then the mod p reduction of a projective regular model carries a rational...

17p noel_noel 17-01-2013 39 4   Download

Let X be a smooth quasiprojective subscheme of Pn of dimension m ≥ 0 over Fq . Then there exist homogeneous polynomials f over Fq for which the intersection of X and the hypersurface f = 0 is smooth. In fact, the set of such f has a positive density, equal to ζX (m + 1)−1 , where ζX (s) = ZX (q −s ) is the zeta function of X. An analogue for regular quasiprojective schemes over Z is proved, assuming the abc conjecture and another conjecture. 1. Introduction The classical Bertini theorems say that if a subscheme...

30p tuanloccuoi 04-01-2013 47 7   Download

Tuyển tập các báo cáo nghiên cứu khoa học về toán học trên tạp chí toán học quốc tế đề tài: On the Dispersions of the Polynomial Maps over Finite Fields...

16p thulanh6 17-09-2011 58 4   Download

Tuyển tập các báo cáo nghiên cứu khoa học trên tạp chí toán học quốc tế đề tài: The Degree of the Splitting Field of a Random Polynomial over a Finite Field...

10p thulanh5 12-09-2011 49 3   Download

For n  2, let PG(n, 2) be the finite projective geometry of dimension n over F2, the field of order 2. The elements or points of PG(n, 2) are the one-dimensional vector subspaces of Fn+1 2 ; the lines of PG(n, 2) are the two-dimensional vector subspaces of Fn+1 2 . Each such one-dimensional subspace {0, x} is represented by the non-zero vector x contained in it. For ease of notation, if {e0, e1, . . . , en} is a basis of Fn+1 2 and x is an element of PG(n, 2), then we denote x by a1 . . .as, where x = ea1 +·...

7p thulanh5 12-09-2011 34 2   Download

Tuyển tập các báo cáo nghiên cứu khoa học hay nhất của tạp chí toán học quốc tế đề tài: On Coset Coverings of Solutions of Homogeneous Cubic Equations over Finite Fields...

9p thulanh4 11-09-2011 43 5   Download

SUPERPOSITION AND CONVOLUTION In Chapter 1, superposition and convolution operations were derived for continuous two-dimensional image fields. This chapter provides a derivation of these operations for discrete two-dimensional images. Three types of superposition and convolution operators are defined: finite area, sampled image, and circulant area. The finite-area operator is a linear filtering process performed on a discrete image data array.

23p doroxon 12-08-2010 76 8   Download