可定义性

As a kind of complete orthogonal polynomial system, U system has many good properties such as orthogonality and convergence.

作为一种可选定次数的完备正交多项式系统，U系统所定义的矩具有标准正交性、收敛性等优良性质。

On the basis of the conclusion above, the nonlinear weak controllable vectors can be obtained, which compose the second class of weak controllable matrix, by means of matrix transfermations of the first class of weak controllable matrix. Furthmore the second criterion of weak controllability, accessibility and strong accessibility, which is more standard, more succinct and more practical, is obtained. On the basis of the first criterion and the second criterion, several important problems about nonlinear controllability are discussed, which include 1 local controllability; 2 three classes of local controllable decomposition, separately by means of local coordinate changes in the neighborhood of a nonsingular point, a point on a singular surface or a designated point x〓 with a designated input u〓; 3 the character of controllability of the ith state variable x〓 in different controllable areas and their boundaries.

在第一判别定理和第二判别定理的基础上，我们分析了非线性系统受控性质中的几个重要问题，所得到的结论包括i得到了非线性系统在可平衡点附近的能控性判别定理；ii分别给出了非线性系统在非奇异点、s阶奇面以及在状态空间内给定的一点x〓和输入u〓上的三种状态分解形式以及相应的求解方法；利用系统的Ⅰ型弱能控矩阵与Ⅱ型弱能控矩阵秩相等的条件，得到了只用系统的前n个弱能控向量来判断系统的弱能控性的判别定理；iii通过引入系统状态分量的三类受控区域边界的定义及相应的求解方法，初步探讨了非线性系统各个状态分量在不同的受控区域及其边界上的受控性质。

In the first part, the concepts of the completely normal spaces and strong completely normal spaces in L-topological spaces are defined, which are the generalization of the completely normal spaces in general topological spaces. They are some good properties such as hereditary, weakly homeomorphism invariant properties, good L-extension, but they arent producible in general.

第一部分的主要内容如下：第一部分这一部分是将一般拓扑学的完全正规分离性的概念推广到了L-拓扑空间，给出了L-拓扑空间的完全正规分离性和强完全正规分离性的定义并讨论了它们的若干性质，比如，它们都是可遗传的，弱同胚不变的，"Lowen意义下好的推广"等。

The concrete work and main contribution are as follows:(1) The index indicating transfer capability homogeneousness is defined, and the new terms like homogeneous grid, grid according with economic flow are put forward. These new concepts describe the degree in which transfer capability is utilized, and they provide the standard for ideal grid whose transfer capability and power generation dispatching economy are in phase. So, new idea is introduced in transfer capability analysis.(2) The multi-objective function with generation cost and transfer capability homogeneousness weighted is constructed. The relationship between system existing generation dispatching and transfer capability is revealed through comparative analysis between security economic dispatch and security homogeneous dispatch, and the variation rule analysis between generation cost and transfer capability homogeneousness with the change of weighting coefficient.(3) Example analyses demonstrate that the difference between specific power system with ideal instance can be identified effectively using the above concepts and method.

具体工作和贡献主要体现在：(1)定义了衡量电网输电能力均匀性分布的指标，提出均匀电网、符合经济流电网的新概念，以描述电网输电能力被利用的程度，并给出输电能力和发电调度经济性相协调的理想电网标准，在输电能力分析评判领域引入了新观点；(2)构造了发电费用与输电均匀性加权的多目标函数，通过对安全经济调度与安全均匀调度的对比分析，以及权系数变化过程中发电费用与输电均匀性的变化规律分析，揭示了系统现存发电调度与输电能力之间的依赖关系；(3)大量分析表明，利用上述概念和方法可有效识别系统在特定模式下与符合经济流电网的偏差程度。

Based on the existence condition of the solution for singular ordinary differential systems,the existence condition of the solution of the degenerate neutral differential system as well as the general solution are obtained by defining the solvable matrix pair and fundamental solution and using Laplace transformation.

讨论了对于退化矩阵E不是方阵情形的一般退化中立型微分系统的解，基于退化的常微分系统解的存在性条件，通过定义可解阵对和基础解以及利用拉普拉斯变换，给出了一般退化中立型微分系统解的存在性条件以及通解表达式。

Based on analyzing combat unit mission reliability and maintainability requirement, the models of mean time between failure and mean time to repair of combat unit are given. The transformation model from combat unit mobile mission to MLDT is constructed.

在分析作战单元任务可靠性维修性基础上，给出了作战单元的平均致命性故障间隔时间和平均维修保障停机时间定义和模型，建立了作战单元任务要求到使用可用度转换和使用可用度要求到保障部署要求转换模型。

By sorting out and summarizing the theories of resource efficiency revolution to make systematical epagogic elaboration on overseas references of 4 factor revolution,10 factor revolution and resource efficiency indexes,and an overview on reference of resource efficiency by domestic scholars and scientific econometric analyses on emergy theories.

在总结前人研究成果的基础上，定义了资源效率革命的概念，提出了资源效率革命具有目标性、根本性、革命性和倍数性的特征；分析了资源效率革命的理论基础是可持续发展理论、循环经济理论，提出循环经济的核心是资源效率革命的观点并进行了深刻剖析。

The key factor of creating new thought is much , wide and deep thinking, high agglomerating thinking ability.

从可观察、测量的凝聚性思维定义出发，通过对知识结构的讨论，论述了：高强度的动机导致的大量、广泛而又深入的思考，较强的凝聚性思维能力，是产生创造性设想的关键因素。

Keep in mind the next time someone tells you that his growling, lunging dog is "protective", that protection, by its very definition requires the presence of a legitimate, identifiable threat.

当下次有人对你说，他那条咆哮、低嚎的狗正在&护卫&中。你可一定牢记，护卫性的精确定义所要求的是：合理而可确知的威胁的存在。

By defining several localindices which can be easily calculated from these ground-state wavefunctions, we first succeeded in explaining bond lengths, orientation ofelectrophilic aromatic substitution, and local aromaticity of these benzenoidhydrocarbons within the VB theory. Moreover, the energy splittings betweenthe ground state and first excited state are applied to correlate with theiroverall aromatic characters, the results are also in good agreement withrelated predictions from MO theory.

通过定义一些可由基态波函数直接计算的局域指标，首次在VB模型下成功地解释了苯型烃的键长、亲电取代反应的方向及局域芳香性，并用基态与第一激发态的能量差讨论了这些分子的整体芳香性，得到了与分子轨道理论的预测基本平行的结果。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。