查询词典 iterative method for eigenvalue problems

By using eigenvalue method and Bessel functions, the closed solutions of 3D transient temperature field in each layer of the cylinder were deduced.

利用特征值法和Bessel函数，导出了各层柱体中三维瞬态温度场的封闭解析解。

In this paper,we use the method of the estimated characteristic function to estimate a lower bound of the first eigenvalue on compact Riemann manifold.

本文利用特征函数梯度估计的方法对紧致Riemann流形上的第一特征值的下界进行了估计。

After theoretic analyzing support vector machine technique, the equipollence of support vector classification and regression problems is proofed, and a uniformed expression of support vector machine problem is gotten. The noise stained case is studied emphatically, and the experiment shows that a better result will be obtained by assigning weight factor to fit noise distribute characteristic. A multi-multiplier minimal optimization algorithm for norm-1 problems is deduced, and a kind of improved Gilbert geometric algorithm for norm-2 problems is introduced, which is applied in regression problems successfully.

课题细致深入地讨论和研究了软测量模型的三个基本问题，首先是软测量模型的可实现性，即软测量模型存在唯一解的条件，以及知识利用的度量等一些相关的概念，体现出混合软测量模型在知识利用有效性上的优势；然后对模型不确定性的概念进行了讨论，研究了模型可靠性问题，得出测量精度与软测量模型可靠性之间的关系；最后讨论了软测量模型与传统软测量方法的关系，说明软测量模型是传统软测量方法的发展。

In order to reasonably depict four basic problems with friction, one Coulomb friction new form in first Kirchhoff stress is proposed to deal with finite deformation problems, other Coulomb friction form in incremental mode to elastoplastic flow theory; Hilbert function spaces concerning elastoplastical problems with friction are established, so it makes all operations and calculations in the treatise standardized within the scope of reasonably topologic structure; In view of functional extremum, the equivalence between generalized variational inequalities principles in elastoplasticity with friction and corresponding basic problems are testified by inducing Lagrangian multipliers, so it provides a rationally theoretical basis for numerical methods in elastoplasticity with friction; From the viewpoint of variational inequality, the theory of generalized variational inequalities in elasticity and elastoplasticity with frictional constraint is studied, and the uniqueness and existence of the solution of FEM is proofed under the proposed conditions of stress compatibility, and them FEM approximation and a discrete solution are discussed; Based on the principles of generalized variational inequalities in elastoplasticity with friction, direct generalized variational inequalities methods is pretended, which is a natural generalization and development of direct variational methods; Using generalized variational inequalities methods, some examples in metal forming including plane deformation, upset and extrusion are analyzed and the results prove that all the theories and methods in the paper are right, feasible, accurate and advanced.

主要内容有：为了合理地描述金属塑性成形中摩擦约束弹性、弹塑性基本问题，提出和研究了有限变形下以Kirchhoff第一应力表示的Coulomb摩擦定律形式和弹塑性流动理论下以增量形式表示的Coulomb摩擦定律表示形式；系统建立了摩擦约束弹塑性问题的Hilbert函数空间，使本文规范在一个具有合理的代数拓扑结构内进行一切操作和运算；利用Lagrange乘子，从泛函极值的角度系统地阐述和论证了一系列摩擦约束弹性、弹塑性广义变分不等原理与相应的实际问题之间的等价性，它为处理摩擦约束的弹塑性力学数值方法提供了合理的理论基础；从变分不等式的角度出发，阐述了对应于摩擦约束弹性、弹塑性问题的广义变分不等式理论，首次提出了在应力相容性条件下，它的有限元解具有存在唯一性，进而讨论了其有限元近似及离散解法；基于摩擦约束弹塑性广义变分不等式原理，首次提出了直接广义变分不等式方法，这一方法是直接变分法的合理推广和发展；利用直接广义变分不等式方法对金属压力加工中的平面变形问题、镦粗、挤压等塑性成形问题进行了分析计算，验证了该理论和数值算法的正确性、实用性、精确性和优越性。

Taiwan problems aren"t the simple channel intercoastal relations problems. The forming and transforming are because of the US"s long intervention. The USs intervention brings mistakenly on the expanding and strengthening the forces of Taiwan independence. So Taiwan problems are also Sino-American relations problems.

台湾问题不是简单的海峡两岸关系问题，它的形成与演变是美国的长期介入造成的，对当今的台湾政局的发展以及台独势力的加强，美国更是难辞其咎，因此台湾问题又是中美关系问题。

These situations are the main character of Chinese credit rationing phenomena. It could be conclude that a great mummer of important problems, which including some macro-scale problems such as the dualistic financial structure, the inefficiency of fund allocation, the phenomena of regulation of interest rate, and some middling scale problems such as the banking industry structure, the rampart of entering and exiting banking, as well as some micro-scale problems such as non-performing loans of banks,'over investment' of state-owned enterprise, credit deficiency of enterprises, have concerned with the situations.

一方面，从微观层面来看，政府行政权利在资源配置中的主导作用是中国特色信贷配给现象的一个主要的组成部分；可以说，无论是宏观方面的二元金融结构、资金配置效率低下、利率管制等现象；中观方面的银行业市场结构、银行业进入以及退出壁垒；还是微观方面的某些痼疾，如银行不良资产、国有企业的"过度投资"、微观主体信用缺损等，都在一定程度上同政府主导的信贷配给有关。

Here mainly introduces five natures of the initial value problems, In several aspects summed up as the following : whether there are solutions to the problems, whether the only solution, the existence of solutions interval extent; Initial issues under what conditions have a solution--Cauchy - Piano existence theorem; how the district between the definition of a solution to open up a larger interval up; initial value problems for the sole condition --- Lipschitz conditions; 3、the numerical solution of the initial value problems of Ordinary Differential equations .

在这里主要介绍了初值问题的5个方面的性质，分别在这几个方面中总结了以下内容：初值问题是否有解，解是否惟1，解的存在区间有多大；初值问题在什么条件下有解----柯西-皮亚诺存在定理；怎样把在小区间上有定义的解开拓到较大的区间上去；初值问题解的惟1性条件---李普希茨条件；3：常微分方程初值问题的数值解法。

Results (1)Relevance rate of behavioral problems in type 1 diabetes group was 20.2%,two fold significantly higher than that in the control group(8.2%)(P=0.000).(2)Logistic analysis showed that risk factors concerned behavioral problems in diabetic children and adolescents included patients lived in rural areas,poor parents' marital relationship,poor parent- child relation,improper cultural ways,poor communication and understandings between family members,uniparental family and poor control of blood glucose.(3)It was found that diabetes was the most significant risk factor affected the occurrence of behavioral problems among all related factors based on the analytic results in both the type 1 diabetes group and the health group.Conclusions (1)Children and adolescents with type 1 diabetes are the high- risk population who are apt to the occurrence of behavioral problems.

结果①行为问题的检出率：糖尿病患儿检出率为20.0%，与健康对照组(8.2%)比较，糖尿病患儿行为问题检出率高于健康对照组P=0.000；②Logistic回归分析显示，与糖尿病患儿行为问题有关的危险因素分别为在农村生活、双亲关系紧张、亲子关系差、缺乏直接感情交流、教育方式不当、对子女了解较少、仅由父母中的一方承担管理子女的责任及血糖控制不良；③将健康对照组与1型糖尿病组综合分析后发现：影响行为问题发生的所有危险因素中，患糖尿病的相对危险度最大。

This kind of parallel processing hugely improves the computational speed, and can change some NP problems that cannot be accomplished by classical computers, i.e., the complexity of the problems exponentially increases with the increase of bits, to P problems, i.e., the complexity of the problems polynomially increases with the increase of bits. In 1994 Peter Shor at Bell Laboratory proved that quantum computers could efficiently solve the problem of Large Number Factorization, which was the security footstone of nowaday classical cryptosystems, while none of any classical computers could implement this.

这种并行处理极大地提高了计算速度，可以把一些经典计算中无法计算的NP问题即问题的复杂度随着比特位数的增长而指数上升，变成P问题即问题的复杂度随着比特位数的增长以多项式上升。1994年，Bell实验室的Peter Shor证明量子计算机可以有效解决经典计算机所不能解决的大数因子分解问题，而这恰恰是目前经典密码的安全性基础。

Meshless method is a new numerical method on problem for determining solution of differential equation. It is an approximation method based on nodes, and doesn't need a mesh entirely or partly. Then the discontinuous problems and the extremely large deformations problems can be solved without the re-meshing techniques.

无网格方法是求解微分方程定解问题的一种新数值方法，它采用基于点的近似，可以彻底或部分地消除网格，因此在处理不连续和大变形问题时可以完全抛开网格重构。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。