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71.
We study here some linear recurrence relations in the algebra of square matrices. With the aid of the Cayley–Hamilton Theorem, we derive some explicit formulas for An (nr) and etA for every r×r matrix A, in terms of the coefficients of its characteristic polynomial and matrices Aj, where 0jr−1. 相似文献
72.
(∈,∈∨ q(λ,μ))-凸模糊集 总被引:3,自引:1,他引:2
给出(∈,∈∨q(λ,μ))-凸模糊集的定义,讨论它们的一些基本性质。 相似文献
73.
Ivy Kidron 《International Journal of Computers for Mathematical Learning》2003,8(3):299-331
This paper examines the effect of applying symbolic computation and graphics to enhance students' ability to move from a visual
interpretation of mathematical concepts to formal reasoning. The mathematics topics involved, Approximation and Interpolation,
were taught according to their historical development, and the students tried to follow the thinking process of the creators
of the theory. They used a Computer Algebra System to manipulate algebraic expressions and generate a wide variety of dynamic
graphics; thus21st century technology was applied in order to “walk” with the students from the period of Euler in 1748 to
the period of Runge in 1901. We describe some situations in which the combination of dynamic graphics,algorithms, and historical
perspective enabled the students to improve their understanding of concepts such as limit, convergence, and the quality of
approximation.
This revised version was published online in July 2006 with corrections to the Cover Date. 相似文献
74.
Zhao Kaiming 《东北数学》1997,(2)
Representationsofq┐analogueoftheVirasoroAlgebra*)ZhaoKaiming(赵开明)(DepartmentofPureMath.,UniversityofWaterloo,Waterloo,Ontario... 相似文献
75.
Summary The possible extension of the notion of generalized coherent state to the case of infinite-dimesional affine Lie algebras
is discussed with special attention to the resulting topological structure of the coherent states manifold, and to its connection
with the structure of the algebra. The relevance for the solution of nonlinear dynamical systems equations of motion is briefly
reviewed.
To speed up publication, the authors have agreed not to receive proofs which have been supervised by the Scientific Committee. 相似文献
76.
77.
78.
Yu Yandong 《模糊系统与数学》1997,(1)
TLsubringsandTLideals,Part3:MaximalTLidealsandireducibleTLidealsYuYandong(DepartmentofMathematics,YanchengTeachersColege... 相似文献
79.
Gordan's Lemma and Hilbert Basis theorem, both merging from establishing thefinite generation of invariants, are proved in one combinatorial set up, namely, thesemigroup N~n 相似文献
80.
Wai-Shun Cheung 《Linear and Multilinear Algebra》2003,51(2):155-162
In this article, we will show that for many complex-valued maps f over a semigroup G of matrices, there exists a minimum k for the existence of a multiplicative map for which the (1, 1)-entry of ϕ( A ) is f ( A ). We obtain results on such multiplicative maps, and use them to classify all the multiplicative maps τon G such that f ( A ) = τ( g ( A )) for any A ε G , where f and g are given complex-valued maps. 相似文献