查询词典 uniqueness

At last we introduce the most important theory in this thesis which is the uniqueness of decomposition . Complete Lie colour algebra of any finite dimension can be decomposed to direct sum of simply complete ideas .And the decomposition is unique except the order of the ideas .

最后给出了本文最重要的一个定理——完备李color代数的分解唯一性定理，指出有限维完备李color代数可以分解为单完备理想的直和，而且除这些单完备理想的次序外，这种分解是唯一的。

The system parameters are determined by optimizing an output-error cost function. To deal with the non-uniqueness of the fully parameterized state-space system, a projected gradient search algorithm is presented by restricting the update of the parameters to the tangent space to the manifold of observationally equivalent state-space systems. The sufficient condition to employ L-M algorithm for optimizing parameters is also introduced. The proposed hierarchical optimization identificationmethod includes two steps: First, the parameter search direction is determined by the proposed adaptive L-M projected gradient approach; Second, the optimum step size is computed according to a line search method.

通过极小化输出误差目标函数获得了系统参数估计；提出了正交梯度搜索方法用于解决系统参数的非唯一性问题，正交梯度搜索的本质是在输入-输出等价类相切平面的正交垂空间更新系统参数；给出了用 L-M 算法进行参数优化的充分条件；提出的系统参数递阶优化辨识方法包括两步：首先用给出的自适应 L-M 算子正交梯度方法确定参数优化方向；其次由一维搜索方法计算最佳步长。

In chapter 2, we devoted ourself to the research of the existence and uniqueness of a class of diffusive population modle under Dirichlet boundary conditions.

在第二章中，我们讨论一类时滞反应扩散方程在Dirichlet边值条件下，零稳态解和非零正稳态解的存在性及其渐近行为。

Thereby we obtain the existence and uniqueness for the Dirichlet problem of the Helmholtz equation on domain with corners

从而得到边界含尖点区域上Helmholtz方程Dirichlet问题解的存在及唯一性。

First, we introduce the concept of polarizable Carnot group and give some new properties of its homogeneous norm. Then we construct a class of non-divergence equations as well as their nontrivial solutions. The failure of corresponding A-B-P type estimate and uniqueness to the Dirichlet problems in space~ follow.

首先引入可极化Carnot群的概念，给出了可极化Carnot群上齐次模的若干性质，然后构造了一类非散度型次椭圆方程及其非平凡解，由此证明此类方程Dirichlet问题的解在函数空间L~中不唯一，进而证明相应的Alexandrov-Bakelman-Pucci型估计不成立。

The theoretical solution of a concentrated force acting on the free surface of coating materials with two same thickness layers has been deduced by introducing mirror point method and Dirichlet uniqueness theorem.

利用镜像点法和Dirichlet等值性原理，本文推导了等厚双层薄膜涂层材料受表面集中力作用的平面问题理论解。

On this newconcept, we succeed to prove the uniqueness of Cauchy Problem of the aboveequation by the methods of using the Hausdorff measure of the set of the discontinuous points of BV solution and Kruzkov technique etc.

基于此概念，通过对BV函数的间断点集合Hausdorff测度的仔细分析，以及利用Kruzkov技巧等我们证明了上述方程BV解的存在唯一性。

A new complete disjunctive normal form, which is in the sense of equivalence, to an extension system of medium logical proposition calculus MP is defined and the theorem of its existence and uniqueness is established and proved.

讨论中介逻辑命题演算扩张系统MP＊中在等值意义下的完全析取范式的存在性和唯一性。引入MP＊中等值全析范式的概念，并用分步构造法证明这种范式在等值意义下是存在的，且是唯一的。

The contrast mentioned above between a disjunctive kind and a role property is important to the point we are making about uniqueness.

上面提到的析取类型和角色属性的对比，对我们关于唯一性做出的讨论，是关键的。

Its uniqueness does not stop there, where the huge plant roots can grow to be very good, and it should be root, but there is only one, the song is winding disk inserted deep underground.

它的独特并不止于此，在那里，根系庞大的植物才能很好地生长，而它的要根，却只有一条，蜿蜒盘曲着插入地底深处。

Article 144 The Government of the Hong Kong Special Administrative Region shall maintain the policy previously practised in Hong Kong in respect of subventions for non-governmental organizations in fields such as education, medicine and health, culture, art, recreation, sports, social welfare and social

第一百四十四条香港特别行政区政府保持原在香港实行的对教育、医疗卫生、文化、艺术、康乐、体育、社会福利、社会工作等方面的民间团体机构的资助政策。原在香港各资助机构任职的人员均可根据原有制度继续受聘。

Small wonder, then, that the Chinese spend more in the shop than any other group of foreign visitors do .

这样的小惊喜，使中国顾客比任何国家的人消费得更多。