唯一性

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。

Furthermore a definition of the Dirichlet problem with vibrational boundary for the diffusion equation is given.

lder连续函数。本文解决了上述扩散方程的随机Dirichlet问题的解在S_3内存在性及唯一性问题。

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。

We also use the Schr〓der transformation, Abel transformation, power series and Dirichlet series theory to discuss the existence and uniquness of analytic solutions for an extensive class of nonlinear iterative equations.

进而还利用Schr〓der变换、Abel变换以及幂级数与Dirichlet级数理论研究一类具有相当广泛性的非线性迭代函数方程解析解的存在性和唯一性问题。

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。

Under suit upper and lower solution, iteration sequences were constructed, and existence and unique of solutions of linear boundary value problems on second order nonlinear Hammerstein type integro-differential-difference equation were obtained by means of applying the Arzela-Ascoli theorem Lebesque control convergence theorem and disproof method.

在上下解存在的条件下，构造迭代序列，由Arzea-Ascoli定理和Lebesque控制收敛定理得到了二阶非线性Hammerstein型积分微分差分方程的线性边值问题的解的存在性。再利用反证法获得了解的唯一性。

It was hypothesized that the 12 subtests of the WISC-R measure three common factors: Verbal Comprehension, Perceptual Organization, and Freedom from Distractibility such that subtests 1,2,4,5 measure VC, subtests 7,8,9,10, 12 measure P0, and subtests 3,6,11 measure FD The chi-square goodness-of-fit test was used to assess the overall fit of this model.

以 LISREL VI电脑程式的「最大概度法」分析的结果，显示「WISC-R 的十二个分量表分别测三个共同因素」、「共同因素之间有相关」、和「唯一性因素互为独立」之因素模式不能解释实际观察资料。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

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。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。