等价的

By using the Cholesky factorization and inverse method for unit lower triangular matrix, the multi-sensor measurements with correlated measurement noises are transformed to equivalent pseudo ones with uncorrelated measurement noises; then based on the Kalman filtering, a new multi-sensor fusion target tracking algorithm with correlated measurement noises is proposed.

对于量测噪声相关的多传感器量测，利用Cholesky分解和单位下三角阵的求逆方法，将其转化为量测噪声互不相关的等价的多传感器伪量测，然后基于Kalman滤波，提出了一种解决量测噪声相关情况下多传感器融合目标跟踪问题的新算法。

The maximum clique problem has some equal descriptions, and the research methods differ on different models.

最大团问题有相当多的等价的数学描述，并且针对不同的模型具体的研究方法也有一定的差别。

The Neumann boundary value prob-lem is firstly reduced into the equivalent natural boundary integral equation withthe kernel possessing 2nd-order singularity,and then the corresponding variationalproblem on the boundary is obtained.By applying Quak trigonometric wavelet basisBjsee(1.2.3as boundary elements and the method of expanding kernel functionto its Galerkin discretization,we obtain simple computational formulae of the en-tries in the stiffness matrix.

首先，我们将Neumann边值问题归化为等价的带有2阶强奇性核的自然边界积分方程，然后化为边界上相应的变分形式，以Hermite插值Quak三角小波基Bj见(1.2.3作为边界元并利用积分核函数展开法将其离散，得到了十分简单的刚度矩阵系数的计算公式，而且刚度矩阵具有十分简单的形式，它是分块循环对角阵。

In this paper, we proved that the definition of a semilattice as a universal algebra and the definition of a semilattice as a partial ordered set are equivalent.

本文中，我们证明了作为泛代数的半格的定义与作为偏序集的半格的定义是等价的。

In this thesis, we attempt to use them to de-scribe polyatomic molecular vibrations, and obtain quite good results. Finally,We develop the boson-realization model to include higher order coupling terms.In this case, the Hamitonian becomes very complicate. We then find a methodto greatly simplify the Hamitonian, and it is equivalent to the original one.

最后，我们又扩充了原来的玻色实现模型使之包括高阶相互作用，但这样一来哈密顿量变得非常复杂，为此我们又找到一种可大大简化振动哈密顿量的方法，并证明简化后的哈密顿量与原来的哈密顿量是完全等价的。

Tributary to the Tang Dynasty imperial court of the country generally has a very strong back thanks to this "Gong" and "thanks to" the relationship is not the actual equivalent, the court is pyrrhic.

唐代朝廷对来朝贡的国家一般都有着相当丰厚的回赐，这种"贡"和"赐"的关系实际是不等价的，对朝廷来说是得不偿失的。

However, in the algebraic representation of this theory, it is difficult to understand the essence of rough set theory, and efficient algorithm of knowledge reduction has not been found.

该文首先建立了知识与信息之间的关系；然后，在此基础上给出了粗糙集理论中概念与运算的信息表示；最后，证明了知识约简在信息和代数两种不同表示下是等价的。这些结论有助于人们深刻理解粗糙集理论的本质，同时，为寻找高效的知识约简算法奠定了基础

In order to improve the expression capability and the performance ofthe graph transformation in applying to software evolution, a softwareevolution operation description language SEOL (Software EvolutionOperation Language) is proposed, and the structured operational semantics on SEOL is studied, and then the semantic equivalence analysismethod about software evolution operation is described. To the SEOLexpression, the dissertation builds the corresponding processingmechanisms, which include the basic principles and the processing flow,and discusses the graph transformation description in SEOL.

为提高图变换在软件演化应用中的表达能力和处理性能，结合谓词逻辑，论文提出了软件演化操作描述语言SEOL(SoftwareEvolution Operation Language)，研究了SEOL语言的结构化操作语义，指出了软件演化操作语义等价的分析方法，针对SEOL语言表达式，构建了相应的处理机制，包括处理的基本原理和处理流程，讨论了图变换操作的SEOL描述。

Holographic concave gratings with three stigmatic points can be implemented through considerable design. Results obtained from holographic gratings can also be applied to ruled gratings. Sphere and coma aberrations for a planar concave grating are achieved through power expansions.

通过适当的设计，可以使得全息光栅具有三个无像差点，这些分析虽然是针对全息光栅而得到的，但通过记录参数的合理选择可以将其应用到刻划光栅中去，得到等价的刻划光栅的参数。

The union operation is practically equivalent to the OR of sets. The union of two sets is another set where each element is a member of at least one of the sets, i.e., a member of one set or the other.

联合操作和集合的OR(或inclusive disjunction)其实是等价的，两个集合的联合是一个新集合，该集合中的每个元素都至少是那两个集合中的一个成员，即，属于两个集合之一的成员。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。