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Integral Inequalities and Computer Algebra Systems
Symbolic computation Numerical integration Simpson's rule Trapezoidal rule Integral inequalities
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2008/7/1
Theoretical results involving approximation of integrals are often established from the construction and resultant manipulation of an appropriate kernel. The systematic use of these kernels has produ...
ON THE CATEGORY OF KOSZUL MODULES OF COMPLEXITY ONE OF AN EXTERIOR ALGEBRA
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2007/12/12
In this paper, we prove that there is a natural equivalence between the category ${\scr F}_1(x)$ of Koszul modules of complexity $1$ with filtration of given cyclic modules as the factor modules of an...
Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
the twisted Heisenberg--Virasoro algebra weight modules support
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2007/12/11
We show that the support of an irreducible weight module over the twisted Heisenberg--Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all n...
The Existence of Maximal $W^*$-Closed Submodules in Nest Algebra Modules
Finite-partition submodule Finite Finite rank operator $w^{*}$-closure
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2007/12/11
Using the technique of annihilators, we characterize the $w^{*}$-closure of the finite-partition submodule ${{\mathscr R}({\mathscr N}, \sim)}$ of a weakly closed nest algebra module ${\mathscr U}$ co...
SUPER HYPERBOLIC TYPE KAC-MOODY LIE ALGEBRA
Super hyperbolic type affine type fini
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2007/12/10
摘要 In this paper we give the definition of super hyperbolic type Kac-MoodyLie algebra and discuss its imaginary roots systems. Finally, we give the necessary and sufficient condition for Cartan matric...
TWO BOUNDARY VALUE PROBLEMS FOR THE REGULAR FUNCTIONS WITH VALUES IN A REAL CLIFFORD ALGEBRA IN THE HYPERBALL
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2007/8/7
In this paper, introducing the concept of“quasi- permutation”,we solve the sign problem often met with when the operation is carried out in the incommutable Clifford algebra, and using the results in ...
Fuzzy Interval-valued Processes Algebra
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2007/7/28
会议信息
篇名
Fuzzy Interval-valued Processes Algebra
语种
英文
撰写或编译
作者
陈仪香,周洁
第一作者单位
会议名称
In S. Barry Cooper et al, Editors, CiE 2005: New Computational Paradigms ,X-200501 ,ILLC Scientific Publications, Univ...
《Algebra Comliquemm》（图）
Algebra international mathematical
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2007/12/25
Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics and Systems Science, Chinese Academy of Sciences, jointly with ...
International Linear Algebra Society
Linear Algebra 线性代数
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2007/12/25
ILAS - The International Linear Algebra Society - was founded in 1989 as the successor to the International Matrix Group which was established in 1987. The general goal of ILAS is to encourage activit...
Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams
Representations of the Temperley-Lieb Algebra New Inner Product Half-Diagrams
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2011/1/17
The Temperley-Lieb algebra is an algebra given by generators and relations which arose in a problem in statistical mechanics considered by Temper-ley and Lieb [8]. Since then the algebra has been used...
The First International Conference on Numerical Algebra and Scientific Computing
Scientific Computing theoretical
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2006/8/28
NASC is an international conference organized by Chinese numerical algebra group starting from 2006. The conference highlights recent advances in theoretical, computational and practical aspects of li...
Induced Mappings on Boolean Algebras of Clopen Sets and on Projections of the C*-Algebra C(X)
Unitary Projections Almost Isomorphisms Boolean Algebra Clopen Subset
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2010/2/26
For a compact space X, any group automorphism j of C(X,S1) induces a mapping Q on the Boolean algebra of the clopen subsets of X. We prove that the disjointness of Q equivalent to qj is an orthoisomor...
UNIVARIATE ORE POLYNOMIAL RINGS IN COMPUTER ALGEBRA
UNIVARIATE POLYNOMIAL RINGS COMPUTER ALGEBRA
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2013/9/3
We present some algorithms related to rings of Ore polynomials (or, briefly, Ore rings) and describe a computer algebra library for basic operations in an arbitrary Ore ring. The library can be used a...
On Locally pre-C*-Algebra Structures in Locally m-Convex H*-Algebras
Locally pre- C*-algebra locally m-convex H*-algebra Q-algebra positive semi-definite inner product
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2010/3/1
We endow any locally m-convex H*-algebra \left( E,t \right) with a locally pre-C*-topology weaker than t. Examples and applications are provided.
The exterior algebra and `Spin' of an orthogonal g-module
exterior algebra Spin' an orthogonal g-module
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2010/11/1
A well-known result of Kostant gives a description of the G-module structure for the exterior algebra of Lie algebra $\frak g$. We give a generalization of this result for the isotropy representation...