Characteristic 2 and Not 2Exercises#The Multiplicative Group of a Finite Field#The Number of Elements in a Finite Field#Existence of Finite Field withpnElements#Uniqueness of Finite Field withpnElements#Subfields of Finite Fields#A Distinction between Finite Fields of Characteristic 2 and Not 2#...
摘要: New methods are given to solve equations over finite fields. The methods exploit the structure of GF(pm) and are first developed for fields of characteristic two. Then the results are generalized for fields of characteristic p>2DOI: 10.1109/...
In this paper we address some algorithmic problems related to computations in finite-dimensional associative algebras over finite fields. Our starting point is the structure theory of finite-dimensional associative algebras. This theory determines, mostly in a nonconstructive way, the building blocks of...
(2005) Noncommutative finite-dimensional manifolds II. Moduli space and structure of noncommutative 3-spheres. ArXiv math.QA/0511337. Connes, A. and Landi, G. (2001) Noncommutative manifolds, the instanton algebra and isospectral deformations, Comm. Math. Phys. 221, no. 1, 141–59. Connes,...
Clustering Structure refers to the inherent organization of data points into homogeneous subsets known as clusters, identified through unsupervised learning techniques. It involves partitioning a dataset based on similarities between data points without predefined class labels. Various clustering algorithms are...
As in the case of NiAl at finite temperatures the structure is not perfectly ordered (except at absolute zero) and therefore defects are present (see Section 4.1: Introduction). This is the case in FeAl also. Nonstoichiometric compounds must contain additional defects to compensate the deviation ...
N/Kbe a Galois extension of number fields with finite Galois group G.We describe a new approach for constructing invariants of the G-module structure of th... T.,Chinburg,M.,... - 《K Theory》 被引量: 54发表: 1998年 Variation of anatomical structure of false rings in eastern redceder...
A finite-dimensional canonical formalism in the classical field theory A canonical formalism based on the geometrical approach to the calculus of variations is given. The notion of multi-phase space is introduced which enable... J Kijowski - 《Communications in Mathematical Physics》 被引量: 240...
Here, the crystal has a finite height. Claddings at the top and bottom of the crystal have been applied (not visible). There is a missing pore row along the ƔK direction. Energy is concentrated in the line defect as well as above and under it right in the cladding. No energy ...