查询词典 condition of transversality

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)。

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。

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。

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。

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 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。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。