查询词典 algebraic structure

The propose framework invalidates the problematic properties of intention, and by imposing certain constraints on the algebraic structure of the models, it is showed that many desirable properties can be obtained.

讨论了理性Agent性态的抽象规约中对语义表示的要求以及现有的信念、愿望和意图逻辑中存在的问题。

In this article,we showed the algebraic structure of syntactic categories based on monoid and defined categorial equation whose solutions are described by consistency and correlation .

摘要］ 本文给出了建立在含幺半群基础上的范畴语法的代数结构，定义了范畴方程和它的解并对范畴方程的解作了分类：相容性的相关性。

The essence of algebraic structure is: one or more kinds of operations, which are compatible with each other, are defined on a non-empty set so that a object with perfect properties can be constructed.

代数结构的本质是：在一个非空集合上有一种或多种运算，各运算之间相互结合，构成一个具有完美性质的对象。

If we study further the characteristic of this algebraic structure under the action of permutation group elements, it would provide a new approach to solve the problem about the renormalization of noncommutative scalar fields.

如果进一步考察该代数形式在置换群作用下的置换性质，就为我们提供了一种完全解决非对易标量场重整化问题的一种可能途径。

We studied the algebraic structure of a subclass of 3-band wavelet systems, and got the similar results as in the 2-band case.

对于3带小波系统，我们研究了具有极小McMillan度数的小波系统的代数结构，得到了和文献[60]中的2带小波系统类似的结论。

The main theory results includes:(1) Using the properties of Hilbert transform, perfectly reconstruction and new type of lifting scheme, a new type of dual-tree binary coefficients complex wavelet with linear phase is achieved.(2) For linear systems that can be diagonalized by GFT and DST-II matrices, an efficient MGM method is proposed, convergence is proved.(3) We discuss the algebraic structure when Toeplitz matrix is transformed by multi-band wavelet,show that Toeplitz matrix is composed of generating function is transformed to a band and sparse matrix when wavelet applied to this matrix, based on the above results, an efficient solution of Toeplitz equations is obtained, and the computational complex is O,where N is the order of matrix.

理论成果主要包括：(1)对于对偶树二进制系数复数小波，利用Hilbert变换对性质、完全重构条件并结合新的提升格式构造研究了含参系数多进制小波构造方法，作为特例得到具有线性相位的对偶树二进制系数复数小波构造方法；(2)对于广义离散傅立叶变换与正弦变换对角化系统，提出了高效、快速的多重网格算法，理论上证明了算法的收敛性；(3)研究了Toeplitz矩阵在多进制小波变换下的代数结构，验证了多项式生成函数构成的Toeplitz系统在小波变换下的稀疏带宽性质，从而建立基于小波变换求解Toeplitz系统的快速求解方法，运算量级控制在O，其中N为系统的阶。

With regard to the section of coset in algebraic structure, a series of well-mastered concepts including equivalent relationship and division are applied, and typical examples are cited to introduce the conception of equivalent relationship-coset relationship defined through subgroup.

对于其中代数结构部分的陪集一节，应用已经熟知的等价关系和划分的概念，通过引例导出由子群定义的等价关系―陪集关系，进而得到群的划分―陪集，再研究陪集的性质。

Knauer in 1990 first defined the endomorphism spectrum and the endomorphism type of a graph to study the algebraic structure which is put on a graph by this various endomorphisms.

德国数学家Knauer于1990年在文献[1]中首次提出了自同态谱和自同态型的概念，目的是通过图的各种不同的自同态来研究图的代数结构。

In several recent years, the linear encoding algorithm of the LDPC codes has also met with success. But the algebraic structure and algebraically constructing method of LDPC codes have still many problems need to be researched.

近年来LDPC码的线性复杂度编码算法有所突破，但它的H矩阵的代数结构及其构造方法，还有许多问题尚待研究。

Wikipedia defines a matrix as "a rectangular table of numbers or, more generally, of elements of a ring-like algebraic structure."

Wikipedia把一个矩阵定义为&一个矩形阵列，由数组成，或更一般的，由某「环」中元素组成&。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了