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It is a problem of the objects intrinsical nonlinear. For eliminating the stick-slip motion, we must start from the nonlinear field. According to the cause of stick-slip motion, a method of compensating the negative stiffness is proposed.

爬行是极限环形式的振荡，具有不稳定非线性系统的特点，消除爬行必须从非线性领域出发，根据对爬行原因的分析，提出了补偿干摩擦的负刚度的办法。

We also study the generic stability of the solution set of nonlinear complementary problem.In chapter three, we consider the optimization problems and the system of nonlinear equations.

第三章，我们知道，最优化问题的最优解集若能分解成两个或者两个以上的互异的连通区，则没有本质连通区。

The parameters of GHM model are determined by nonlinear curve fitting in complex frequency domain. This is converted into nonlinear optimization problem with constrained condition. The corresponding program is completed.

GHM模型的参数通过复频域内的非线性曲线拟合确定，最终转化为具有约束条件的非线性优化问题，并编制了相应的非线性优化程序。

The linear manifold-learning algorithms represented by PCA, with their substantial mathematical foundation and simple implementation, but they are not able to show complex nonlinear manifold structure with their linear essence, which gives rise to nonlinear manifold-learning algorithms such as Isomap, SIE etc.

以PCA为代表的线性流形学习算法有较强的数学基础，实现简单，但是其线性本质并不能揭示复杂的非线性流形结构；于是又出现了以Isomap、SIE等为代表的非线性流形学习算法。

A new computational formula to nonlinear adjustment by parameters, in consideration of the second-order terms, is derived in this paper from the precise orthogonality condition equations to nonlinear least squares by analyzing the direct solving process and iterative computing method of the linearized model.

在分析线性化的非线性参数平差的近似直接解法与迭代解法基础上，利用非线性最小二乘的精确正交性条件方程，推导出顾及到二次项的非线性参数平差的一种新的计算公式。

Using the output data of a MM4 mesoscale numerical model which fairly well simulated the developing structure and the evolution of the "96.1" snowstorm event over Qinghai Xizang Plateau, a nonlinear and non zonally non parallel basic flow symmetric instability models and simulation system were developed to validate the possible effect of conditional symmetric instability on the formation of the snowstorm process, the results showed that in a developing model of two dimensional nonlinear SI i...

利用"96 。1"青藏高原东北部暴雪过程的较成功的中尺度模拟的输出资料，用非纬向非平行基流中的对称不稳定模式，对"96 。1"暴雪发生发展过程的动力学机制进行了三维基流中二维非线性对称不稳定数值模拟试验。结果表明，ψ场和w场的三维配置与切变线的演变过程相当一致，说明用三维基流中二维非线性对称不稳定可能能较好地描述SI在切变线东伸南移过程中所起的作用。

Numerical method is used to investigate the bogie's ateral stability under diverse nonlinear factors. The influence of nonlinearities and conicity on the critical speed is investigated. The nonlinear forces considered in the bogie system include creep-force between the rail and wheel, longitudinal damping and the flange contact force.

利用数值方法研究了不同非线性力作用下转向架的横向稳定性，得到轮轨饱和力、蠕滑力、纵、横向阻尼力、轮缘死区接触力、踏面斜率以及轮轨间隙对转向架系统线性、非线性临界速度的影响规律。

Nonlinear hyperbolic conservation law is one of the core problems in nonlinear PDEs, it has very important physics background.

非线性双曲型守恒律是非线性偏微分方程中的核心问题之一，它有很强的物理背景。

In the first charpter,response variable is generalized to q dimensions, we propose the concept of QMLE and quasi function in nonlinear models, then under mild conditions, we prove that there exists the solution_n with probability 1 for sufficiently large n, and obtain the strong consistency, some results of asymptotic normality, meanwhile consistent estimator of σ~2 for QMLE for heterosedastic nonlinear models is presented.

在第一章中，我们首先将响应变量由一维推广到了多维，得出了非线性模型的极大拟似然估计的定义和拟似然方程，然后在一定的条件下，证明了当样本量n充分大时，拟似然方程以概率1有解？？_n且收敛于参数的真值(即定理1.2)，并且给出了极大拟似然估计的渐近正态性(即定理1.3，1.4)，最后考虑了异方差非线性模型的离差参数σ~2的相合估计(即定理1.5)。

Based on the equilibrium equation of an arch element the cubic nonlinear dynamic model with second order is established and the nonlinear differential dynamic system without constant term is obtained through a transfer process of T=U+b. Hence three fixed points and the homoclinic orbits are found. The critical condition of the chaotic vibration of the elastic arch is given by using the method of Melnikov function. The numerical results of the stationary and chaotic motion are given and discussed.

首先利用拱的单元平衡方程建立了拱的二阶三次非线性动力学模型；然后通过变换使方程转化为不含常数项的非线性微分动力系统，并由此得到无扰动系统的3个不动点与同宿轨道；再用Melnikov函数法给出了发生混沌的临界条件；最后给出了该系统出现定常运动和混沌运动的数值结果。

What are your goals and strategies for growth?

你的成长目标和策略是什么？

And unto the angel of the church in Sardis write; These things saith he that hath the seven irits of God, and the seven star I know thy works, that thou hast a name that thou livest, and art dead.

3：1 你要写信给撒狄教会的使者，说，那有神的七灵和七星的，说，我知道你的行为，按名你是活的，其实是死的。