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Arad and Blau proved that an abelian table algebra can be viewed as a group algebra of some abelian group G. Chapter 3 of this paper gives the structural theorem of abelian table algebras by defining a group structure in table basis. Furthermore, the structure of elementary abelian table algebras is discussed using the number of composition series of table algebras.

Arad和Blau证明了abel表代数等价于某个有限生成abel群G的群代数,受此启发本文第3节通过定义表基的一个群结构给出了abel表代数的结构定理,并从合成列数目的角度对初等abel表代数进行了细致刻画。

In this paper we use pointwise modulus of smoothness to study approximation direct theorem and equivalent theorem for some linear operators and quasi-interpolant operators; Using pointwise modulus we discuss the strong converse inequality on K-functional; and using a modified weighted K-functional and weighted modulus of smoothness we study approximation with Jacobi weight on operator with non-zero first order moments.

本文利用点态光滑模ω_~(2r)来研究某些线性算子及逆中插式逼近正定理和等价定理;利用点态光滑模讨论其关于K-泛函的强逆不等式;同时利用一种改变的带权K-泛函和带权光滑模研究一阶矩不为零的算子的点态带Jacobi权逼近。

We use J-frame of semigroups obtaining the character of completely Archimedean semigroups and equivalent properties that a completely simple ideal of semigroups is completely Archimedean semigroups are given.

并且利用半群的J-骨架讨论了完全Archimedean半群的结构以及半群S的每一完全单理想是完全Archimedean半群的等价性质。

For a given strictly proper rational function matrix over a commutative Banach algebra, the controllable, observable realizations have been constructed, the uniqueness of minimal realizations under the system equivalence has been proved, also, the necessary and sufficient conditions for decoupling have been given.

对给定的定义在交换Banach代数上的严格真有理函数矩阵,构造了可控型、可观型的实现,证明了其极小实现在系统等价意义下的唯一性;给出了交换B.fi。

In this thesis, we discuss some important concepts of orthogonalities in Banach space and give some characterizations of them.

本文应用空间理论与算子理论的方法,系统研究了一般Banach空间X中的各种正交性概念,研究了它们之间的相互关系,给出了各种正交性的等价刻画。

Deletion of attribute references, subscriptions and slicings is passed to the primary object involved; deletion of a

对于属性引用,下标和片断的删除会作用到相关的主元对象,对片断的删除一般等价于对该片断赋予相应

Equivalence Checking of Retimed Circuits: Sometimes it is helpful to move logic from one side of a register to another, and this complicates the checking problem.

等价性检验的Retimed电路:有时是有益的行动逻辑一方登记册到另一个,这复杂的检查问题。

This part is an analytic angle and tool of this article. This part focuses on two relevant laws, the continental shelf case of North Sea and the principle of international law.

首先概括了两部相关的法律对大陆架划界的条文规范,然后从权利的等价性和对抗性入手进行分析,并对大陆架权利制度和划界制度予以区分。

Finally,through some ideas from Algebraic Geometry,we constructed strongly exceptional collections of derived sheaf categories,and solved the problem that equivalences between some posets.

最后,通过代数几何里的一些思想,我们构造了导出层范畴的强例外集合,解决了一类偏序集的等价问题。

In Chapter 7,we study martingales with respect to a Clifford algebra valuedmeasure,get the equivalence of some kinds of Clifford martingale spaces and prove theseClifford martingale spaces are isomorphic to the spaces of martingales with respect tothe corresponding real measure.

第七章研究一类特殊的Clifford代数值鞅,建立了几种Clifford鞅空间之间的等价性,并且证明它们与相应的实测度鞅空间同构。

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然而,正如其名字所指出的那样,CD盘不能写,也不能用任何方式改变其内容。

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