查询词典 condition of transversality

Chapter2, mainly summarizing the optimality conditions for the nonconvex semidefinite programming, first recalls the concept of transversality condition, proves that transversality condition and linear independence condition are equivalent, and shows that under strict complementarity condition, the transversality condition is a sufficient condition for uniqueness of the Lagrange multipliers.

第2章，主要综述非凸半定规划的最优性条件，首先回顾了横截性条件的概念，证明了横截性条件与线性无关条件是等价的。并且说明了在严格互补松弛条件下，横截性条件是Lagrange乘子矩阵唯一的充要条件。

Chapter3, being the main part of this dissertation, converts nonconvex semidefinite programming problem to nonlinear programming problem, and proves that under transversality condition, strict complementarity condition and the sufficient optimality condition of local solutions, and are equivalent locally.

第3章是本文的主要部分，将非凸半定规划问题转化为等式约束的非线性规划问题，并证明了在局部解的充分性条件及严格互补松弛与非退化条件之下两问题的局部等价性。

As an application of the above proof, we obtain at once that there is an open and dense set in the set of Ω-stable systems such that every system in the set satisfies Axiom A and the no-cycle condition (Axiom A and the strong transversality condition, respectively).

作为上述方法的一个运用，马上可以得出在Ω稳定系统的集合中有一开稠集满足公理 A 和无环性条件(对应的，公理 A 和强横截性条件)。

Based on Pontryagin maximum principle, the lunar soft landing problem is transformed into a two-point boundary value problem in mathematics. In consideration of the bound condition and transversality condition, the resulted two-point boundary value problem is converted into a parameter optimization problem aiming at the initial values of conjugate variables and the terminal time, then it is solved by the nonlinear programming.

首先，从庞德里亚金极大值原理出发，将有限推力作用下月球软着陆问题转化为数学上的两点边值问题；在考虑边界条件及横截条件的前提下，将该两点边值问题转化为针对共轭变量初值和末时刻的优化问题；然后应用非线性规划方法求解所形成的参数优化问题。

Through the photographic technology of fisheye lens and achieved the space image of cotton canopy structure distributing at different condition, and setupped cotton canopy structure base after image analysis. The experiment results indicated that the adaptability of different varieties to plant density is different, reasonable plant density is benefit to the raise of varieties product, and Xinluzao10 is better at high density（225000plant/ hm2） condition and Xinluzao12 is better at mid-high density（150000 plant / hm2） condition. For different nitrogen, Xinluzao10 is better at right nitrogen application amount（600 kg/ hm2） condition and Xinluzao12 is better at mid-high amount（900kg/ hm2）condition. For different irrigation, Xinluzao6 and Xinluzao12 is better at limited drip irrigation amount（1500 m3/ hm2） condition and Xinluzao8 Xinluzao13 is better at right drip irrigation amount（3000 m3/hm2） condition.

利用鱼眼镜头照相技术获取了不同处理棉花冠层分布空间图象，对图像进行处理分析，建立了棉花冠层图像库及分析诊断指标，研究结果表明，不同品种对种植密度适应性不同，合理的配置种植密度有利于品种的产量潜力的挖掘，高密（225000plant/ hm2）条件下选择新陆早10号、中高密（150000 plant / hm2）条件下选择新陆早12号栽培种植较为适宜；对于不同氮肥用量，适量氮肥用量（600 kg/ hm2）条件下选择新陆早10号、中高氮肥用量（900kg/ hm2）条件下选择新陆早12号较为适宜；对于不同灌水量，限量滴灌（1500 m3/ hm2）条件下选择新陆早6号、12号种植较适宜，适量滴灌（3000m3/hm2）条件下选择新陆早8号、13号种植较适宜。

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

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。

Here,we choose c as a bifurcation parameter,mainly proof transversality condition,such that we discuss the bifurcation problem of traveling-wave solution.

对这类具有旋转对称性的系统问题行波解的相关性质，已有许多学者做了大量的研究工作。

As a corollary, we solve a conjecture of Liao, i.e., the following four conditions are all equivalent: 1 the system is structurally stable, 2 the system is in the interior of the set of Kupka-Smale systems, 3 the obstruction set and the interior of singularities of the system are empty, 4 the system satisfies Axiom A and the strong transversality condition.

作为一个推论，这解决了廖山涛先生的一个猜测，即下述四个条件等价：1 系统为结构稳定的，2系统及其附近的系统皆为Kupka-Smale系统，3系统的阻碍集为空集，4 系统为公理A且满足横截性条件。3→4，4→1，1→4已经分别由廖山涛， Smale、 Anosov、 Robbin、 Robinson以及Robinson完成。

Draw lessons from increment type observation implement with PI condition observation implement research achievement, combine heat to dominate a field complex control system designs bunchy form normally the actual condition of regulating system, offer observation of function of PI of increment style broad sense implement and the concept that its condition feedbacks, the tectonic regulating system that cluster form and observation implement feedback of shirt-sleeve broad sense condition controls a system, learn an analysis through number, give out the sufficient condition of IFO-PIO/BS reachs his corresponding theorem and deductive proof, announce give this to controlled systematic equivalence to be had at IFO-PIO/BS change the function that gain condition feedbacks.

借鉴增量式观测器和PI状态观测器的探究成果，并结合热控领域复杂控制系统通常设计成串级调节系统的实际情况，提出增量式广义PI函数观测器及其状态反馈的概念，构造串级调节系统和观测器相融合的广义状态反馈控制系统，通过数学分析，给出IFO-PIO/BS的充分条件及其相应定理和推论的证实，揭示出该控制系统等价于IFO-PIO/BS具有了变增益状态反馈的功能。

Salt is good, but if the salt becomes flat and tasteless, with what do you season it?

14：33 盐本是好的，盐若失了味，可用什么叫它再咸呢？

He reiterated that the PLA is an army of the people under the leadership of the Communist Party of China.

他重申，人民解放军是在中国共产党领导下的人民军队。