等价

At the same time, some fuzzy orders are defined so that we can describe the three preference strutures concisely. For example, we point out that is a fuzzy total semiorder structure iff R is W-W* total semiorder relation iff P is strict W- W* total semiorder relation.

我们指出，仍I，刃是模糊全半序结构等价于R是叽·叽全半序关系，且等价于尸是严格叽一叽全半序关系等·得出了一些比较满意的结果。

The so-called AT-algebras are inductive limits of finite direct sums of matrices over the extension algeras of circle algebra by K, where K is the C~*— algebra of all compact operators on a separable infinite dimensional Hilbert space.

若V_*与V_*同构，且保持单位元等价类；T与T仿射同胚，且同构映射与同胚映射相容，则存在E与E′的同构导出上述同构和同胚，所谓AT-代数即为圆代数通过κ的本质酉扩张的矩阵代数的有限直和的归纳极限，这里κ为可分的无限维复Hilbert空间上的紧算子全体，不变量中的V*为三变元Abel半群，T为迹态空间，[1]为单位元所在的Murray-von Neumann等价类，r_E为连接映射。

Secondly, for a more general matrix equation in composition, we obtain another equivalent condition for the solvability of this equation and give an equivalent characterization to the solution set of the equation.

第二， 对于一般情况下的型矩阵方程，本文给出其可解的另一个等价条件，同时对其解集作了一个等价性描述。

Therefore, it's natural to estimate those values of operators such as 〓, log mf and so on in order to investigate the weighted inequalities for the minimal operator We discuss them under two conditions respectively: In one-weight case, we establish the relative weighted inequalities under the condition of A〓-weight and A〓-weight respectively, and the equivalent condition has been found between the strong -type weighted inequality and the property of W〓-weight; while in the case of two-weight condition, we characterize the equivalent relations between the weak type weighted inequality and the property of W〓-weight, the strong -type weighted inequality and the property of W〓-weight.

我们分两种情况分别加以讨论：单权情况下，我们分别刻画了A∞权和A〓权条件下关于〓，log mf等的强型加权不等式，并证明了关于鞅的极小算子的强型加权不等式与对应的W〓权性质之间的某些等价关系；在双权情况下，我们刻画了关于极小算子的弱型加权不等式与W〓权以及强型加权不等式与W〓权之间的等价关系。

As an application of continuous wavelet transform,we discuss the relationsbetween some differemtial equaltions and the integral equations by using thecontinuous wavelet transform in 〓,vector function space andabstract function space respectively;prove that they are equivalent not only in theweak topology but also in the strong topology.

作为连续小波变换的应用，分别利用〓上的，多元函数空间上的，向量函数空间上的和抽象函数空间上的连续小波变换分别得到了某些线性微分方程，某些线性偏微分方程，某些向量线性微分方程和某些抽象函数的微分方程分别等价于其相应的积分方程，证明了它们不仅在弱收敛意义下而且在范数收敛意义下是等价的。

An obvious appproach to study the properties of Toeplitz matrix is to approximate them by sequences asymptotically equivalent of circulant matrices and then applying the results developed thus far.

在研究Toeplitz矩阵的性质时用循环矩阵来渐进等价或近似能得到很好的结果，这样有关循环矩阵和渐进等价等结论能够运用到Toeplitz矩阵的讨论中。

In this paper the equivalent of the various topologies on the closed setlattice of a topological space is investigated a sufficient and necessary condition for their equivalent is given.

本文对拓扑空间闭集格上的各种拓扑的等价性进行了研究，得到了它们等价的一个充分必要条件

In this paper the equivalent of the various topologies on the closed setlattice of a topological space is investigated a sufficient and necessary condition for theirequivalent is given.

本文对拓扑空间闭集格上的各种拓扑的等价性进行了研究，得到了它们等价的一个充分必要条件

The issues of Intuitionistic Fuzzy resembling relations and the construction of IF equivalent matrixes get deeply into investigation, and a method for constructing IF equivalent matrixes by finding the transitive closure is proposed with a related proof in theory.

对直觉模糊相似关系和等价矩阵构造问题进行了深入研究，提出一种利用求传递闭包来构造直觉模糊等价矩阵的方法，并从理论上给出了相关证明。

Transversality condition is used to characterize the stability of such equivariant bifurcation problems.

本文第五章利用奇点理论中光滑映射芽的左右等价关系，考虑在左右等价群的一个子群的作用下，分歧参数具有对称性的等变分歧问题的开折问题，得到了相应的通用开折定理。

Finally, according to market conditions and market products this article paper analyzes the trends in the development of camera technology, and designs a color night vision camera.

最后根据市场情况和市面上产品的情况分析了摄像机技术的发展趋势，并设计了一款彩色夜视摄像机。

Only person height weeds and the fierce looks stone idles were there.

只有半人深的荒草和龇牙咧嘴的神像。