查询词典 nonlinear problem

Fist, comprehensive analysis on the current study on data processing is made, and characters of Newton methods about nonlinear surveying and mapping data processing are discussed, and then new solutions to parameters estimate with multi-sources, multi-types, multi-dimension, multi-precision bynonlinear least square are presented such as PSB algorithm, digital continuation and generalized digital continuation algorithm, cone model method, tensor analysis method, GCMA(mixed algorithm of gradient method and conjugate gradient method), combining algorithm based on Newton method and gradient method and confidence region and so on, and a new fast difference iterative algorithm is proposed towards parameters estimation containing random parameters in nonlinear models, and a new solutions to nonlinear least squares surveying and mapping adjustment by parameters estimation both considering the random and nonrandom parameters is presented after studying on nonlinear data processing in deformation monitoring, and at last primary analysis on error propagation of spatial data is made and approximate error propagation formula and error analysis formula to length and area are proposed.

首先比较全面分析了目前测量数据处理理论的研究现状，讨论了牛顿类方法在处理非线性模型参数估计方面的特点，研究并给出了求解多源、多类型、多维、多精度、非线性最小二乘测量平差参数估计的若干种新方法，这包括PSB算法、数值延拓及其广义数值延拓算法、锥模型法、张量分析法、基于最速下降法和牛顿法的组合算法、基于最速下降

In this paper, in order to prepare nonlinear optical polymer materials with high nonlinear optical activity and thermal stability, nonlinear optical thiazole chromophores with highβvalues were designed and synthesized, two kind of nonlinear optical polyurethane composite materials were prepared, and the structures and properties of them were researched.

本文以制备具有高非线性活性和热稳定性的非线性光学材料为目的，设计合成了新型具有高二阶极化率的噻唑生色分子，制备了两种新型非线性光学聚氨酯复合材料，并对它们的结构和性能进行了研究。

Operations are given and testified in this paper. The research methods of intrinsical linear nonholonomic dynamics are similar to those of holonomic dynamics.The rationality and equivalence of Chetaev model and Vacco model in the intrinsical linear nonholonomic system are testified from the mathematic and mechanical aspects. The essential reason is the nonlinear property of intrinsical nonlinear nonholonomic constrain that bring on Chetaev model and Vacco model inequivalent. Chetaev model is a linear approximate method in intrinsical nonlinear nonholonomic system. Vacco dynamical equations are not satisfied to the ideal constraint force conditions, but it gives a significative ponderation on the realizations of intrinsical nonlinear nonholonomic constrain.

本文比较研究了一般非完整系统的Chetaev模型和Vacco模型，首次从力学和数学的角度论证了这两种模型在完整系统和本质线性非完整系统中的合理性和等价性；同时给出了在本质非线性非完整系统中，Chetaev模型和Vacco模型不等价的根本原因，是由本质非线性非完整约束的不确定性非线性本质所导致的；指出在本质非线性非完整系统中，Chetaev模型是一种线性近似的结果，Vacco动力学方程虽然不满足约束力的理想性质，但是为我们研究本质非线性非完整约束的物理实现提供了有益的思考。

Since nonlinear problems more accurately describes the phenomena of the nature,thus thispaper considers nonlinear optimization problems and two important classes of nonlinear evolu-tion equations,and neural networks for nonlinear optimization problems is stressfully studied.

由于非线性问题更准确地描述了客观现象，因此本文考虑了非线性优化问题和两类重要的非线性发展方程，突出地研究了非线性优化问题的神经网络。

To the nonlinear plants, the shortage of normal inverse control method for nonlinear plants is discussed in chapter 6. ANFIS is effectively applied to nonlinear inverse dynamic control system. A project about how to design nonlinear inverse dynamic controller is also discussed here. It effectively avoid the inherent imperfects in the normal inverse control methods. These methods show a great promise.

对于非线性被控对象，本文在第六章分析了通常非线性逆控制方法的不足，并将自适应模糊神经推理系统用于非线性逆动态控制中，讨论了ANFIS非线性逆动态控制器的设计方案，有效地克服了在常规逆控制方法中所固有的缺陷，在非线性控制中很有应用前途。

The problems in many applied domains often can be formulated as a nonlinear inverse problem, for example, parameter identification problem, inverse scatting problem, inverse Sturm-Liouville problem and the first nonlinear Fredholm equation, etc..

许多实际应用领域常归结为非线性反问题的求解，比如说参数识别问题，反散射问题，逆Sturm-Liouville问题以及非线性第一类Fredholm方程的求解问题等。

Mao Zedong has discussed confiscation of bureaucratic capital , has built the socialist state owned economy problem on depending on the socialist society pattern of ownership and assigning the system problem,have discussed the problem reforming individual economy becoming socialism collective economy , have discussed the problem reforming private capitalistic economy becoming socialist state owned economy , have discussed appropriate develop individual economy and private economy and the problem introducing foreign investment, possessions having discussed "three-level of rural collective economy, team the problem being a basis ", have discussed the problem needing to pay attention to the interests of the collective and the individual as well as the state, Have discussed the problem persisting in distributing according to ones performance , opposing an equalitarianism.

在社会主义社会的所有制结构和分配制度问题上，毛泽东论述了没收官僚资本、建立社会主义国营经济的问题，论述了把个体经济改造成社会主义集体经济的问题，论述了把私人资本主义经济改造成社会主义国营经济的问题，论述了适当发展个体经济和私营经济以及引进国外投资的问题，论述了农村集体经济的"三级所有，队为基础"的问题，论述了要兼顾国家、集体、个人三者利益的问题，论述了坚持按劳分配、反对平均主义的问题。

To solve the nonlinear 0-1 programming problem, it is transformed into an equivalent continuous nonlinear programming on the domain of [0, 1] by a nonlinear equality discrete constraint.

为了求解非线性0-1离散规划问题，通过非线性等式的"离散性约束"将其转化为[0， 1]区间上等价的连续变量非线性规划。

Firstly, the author establish the functions of stability on the basis of the spline function method ,according to the theory of geometrical nonlinear and the theory of stability, educe the stability equation of structure based on variational principle, then carry through the flexuosity analysis of CFST arch.The big distortion geometrical nonlinear was considered by the stability equation,the author simplified the problem of geometrical nonlinear through ignored quadratic term and reserve the simple term, at last boiled down to solve the linear stability equation of eigenvalue .

利用样条函数方法、根据几何非线性变形理论和结构稳定性理论，先建立起结构稳定的泛函，再由变分原理导出结构的稳定方程，进行钢管混凝土拱屈曲分析；本文所建立的稳定方程考虑了几何非线性的大变形效应，通过忽略几何非线性的二次项，保留一次项，将几何非线性问题简化，最后归结为求解线性稳定问题的特征值稳定方程，建立了结构非线性静力稳定性问题的新算法及失稳类型判别准则。

The joint effect of active and reactive power on the voltage stability of a typical power system was considered by analysing the two parameter bifurcation problem related to nonlinear oscillation phenomena. Numerically, as the active power P1 increases, the Hopf points get closer and eventually coincide at P1=1.455 43 the cyclic fold curve gets closer and closer to the Hopf curve and finally intersects the Hopf curve at a singular point the period-doubling points also get closer and finally coincide at P1≈0.65. The stability behaviour is pre-determined using the normal form approach near the limit point of the Hopf curve. Hence, in the power system attention should be paid to both the consumption of active power and the decrease in the reactive power to prevent nonlinear oscillations. A controller can be designed to absorb some active power and to avoid the nonlinear oscillations that damage the system components.

针对一个典型的单机无穷大电力系统，通过分析系统的双参数分岔的非线性振荡现象，综合考虑有功和无功功率对电压稳定性的影响数值分析表明，随着有功功率的增加，电力系统的Hopf点越来越靠近，最终合为一点在P1=1.455 43处同时圈折cyclic fold 曲线也越来越靠近Hopf曲线，并在Hopf曲线的稳定与不稳定临界点处与Hopf曲线相交倍周期分岔点也随着越来越靠近，最终在P1≈0.65 合为一点应用正规形理论方法，初步确定了Hopf曲线极限点附近的稳定性态因而，电力系统应注意让负荷利用有功功率，减少无功功率的产生以防止非线性振荡另外，可以设计一个稍微吸收网络的有功功率的控制器，以避免因周期振荡而造成电力系统仪器的损坏或电压崩溃

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。