Finite Field Experiments
نویسندگان
چکیده
We show how to use experiments over finite fields to gain information about the solution set of polynomial equations in characteristic zero.
منابع مشابه
On the Influence of Riveting Process Parameters on Fatigue Life of Riveted Lap Joint
In this paper, influence of riveting process parameters, namely, riveting force, sheet thickness, friction coefficient and clearance fit are investigated on residual stress field and fatigue life of single riveted lap joint of AA2024 type. According to the effect of riveting induced residual stresses on fatigue life of riveted lap joint, these parameters are optimized to maximize the residual s...
متن کاملCrack Behavior of the Aluminum Alloy 2024 Under Fretting Conditions
The initial stage of fretting fatigue crack growth is significantly influenced by tangential force induced by fretting action along the contact surface where a mixed-mode crack growth is involved. Fretting crack behavior of aluminum alloy 2024 was studied, taking into account the problem of contact asperities. Finite element was used for the determination of the stress field near the contact su...
متن کاملSignificant Error Propagation in the Finite Difference Solution of Non-Linear Magnetostatic Problems Utilizing Boundary Condition of the Third Kind
This paper poses two magnetostatic problems in cylindrical coordinates with different permeabilities for each region. In the first problem the boundary condition of the second kind is used while in the second one, the boundary condition of the third kind is utilized. These problems are solved using the finite element and finite difference methods. In second problem, the results of the finite di...
متن کاملClassical Wavelet Transforms over Finite Fields
This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over finite fields. It is shown that each vector defined over a finite field can be represented as...
متن کاملFatigue Failure and Damage Analysis of an Anti-roll Bar Subjected to Fatigue Experiments
The available fatigue theories have been examined using simple specimens subjected to bending or tension-compression loads. Therefore, the stress fields have been generally one or two dimensional. Anti-roll bar is a component belongs to the suspension system of the vehicles. In spite of having simple circular section, due to the having several curvatures, this component experiences a three-dime...
متن کاملClassical wavelet systems over finite fields
This article presents an analytic approach to study admissibility conditions related to classical full wavelet systems over finite fields using tools from computational harmonic analysis and theoretical linear algebra. It is shown that for a large class of non-zero window signals (wavelets), the generated classical full wavelet systems constitute a frame whose canonical dual are classical full ...
متن کامل