无穷

A new infinite gas-lubiicated journal bearing with active controlled restrictor is proposed in order to remedy the defects of several existing infinite stiffness at abroad in construction, manufacture and adjusting, which combining surface-restriction with active controlled restriction, make the static and dynamic effect both better.

针对目前国外几种无穷静刚度气体润滑轴承结构复杂、制造难度大、调整困难的不足，本文提出了一种主动控制节流无穷静刚度气体润滑轴承，将表面节流与主动控制节流相结合，使轴承动、静压效果同时获得较好的发挥；利用浅腔及锯齿形多槽结构产生较强的楔形动压效应，提高轴承的静态和动态性能；利用主动控制节流器对轴承进行压力反馈主动控制，提高轴承的承载力、刚度，并在一定载荷范围内，使轴承刚度为无穷大。

The general infinite dimensional modal system describing liquid nonlinear sloshing is derived first by pressure integral variational principle. After selecting two dominating modes and three secondary modes based on the Narimanov-Moiseev third order asymptotic hypothesis, the infinite dimensional modal system is reduced to a five dimensional asymptotic modal system.

首先通过压力积分变分原理推导出描述液体作非线性晃动的一般形式无穷维模态系统，然后根据 Narimanov-Moiseev三阶渐近假设关系，通过选取二阶主模态和三阶次模态，将无穷维模态系统降为五维渐近模态系统。

In infinite dimensional RDS, different to finite case, the cocycle can be usually considered only in the positive half-time line.

无穷维的随机动力系(来源：ABd454C论文网www.abclunwen.com)统和有限维的相比，其中的cocycle往往只能定义在正半时间轴上，为此我们首先对无穷维半动力系统进行了负向延拓，使得在负半时间轴上也有定义。

Based on the flaw of the probability reliability model in the case of small amount of information,non-probability and mixed probability/non-probability reliability models are presented. When the uncertainty of the basic random variable is described by convex, analytical and numerical methods are constructed to calculate the convex of response variable. The infinite norm index, which is the minimal infinite norm distance from original coordinate point to the surface of the limit state in the standard interval space, is presented to measure the safety of the structure.

针对概率可靠性模型在小子样信息下的缺陷，建立了非概率可靠性模型及概率—非概率混合可靠性模型；给出了用集合来描述变量不确定性时，极限状态变量变化集合的解析解和数值迭代解法；提出了物理概念明确且十分易于工程应用的度量结构、机构安全程度的无穷范数指标，它是标准区间空间中坐标原点到极限状态表面的最小无穷范数距离。

An existence theorem concerning denumerable 1-homoclinic orbits and countable families of 1-periodic orbits was given under a generic condition; and an intuitionistic de script ion about those orbits was also given.

证明在通有条件下，该异宿环附近存在可数无穷多条1-同宿轨，和可数无穷多个1-周期轨的单参数族，同时对这些周期轨和同宿轨作了直观描述。

Definition The infinite series converges and has sum if the sequence of partial sums converges to ,that is .If diverges, then the series diverges. A divergent series has no sum.

定义如果级数的部分和数列有极限，即，则称无穷级数收敛，这时极限叫做这级数的和，并写成；如果没有极限，则称无穷级数发散。

In this dissertation, we discuss some problems related to infinite dimensional dynamical systems, and sketch the outline of the development of infinite dimensional dynamical systems in recent years.

中文摘要：这篇文章中，我们讨论了无穷维动力系统中和吸引子相关的一些问题，介绍了无穷维动力系统近几十年来的发展现状，而且具体考查了部分耗散反应扩散方程的解的长时间行为，在该方程的紧吸引子的存在性基础上，得到了该吸引子的正则性的一些结果。

It has important significance to consider backward stochastic Volterra type integral equation in infinite dimensional space.By a similar calculation as in the second part,we study this kind of equations driven by cylindrical Brownian motion under non-Lipschitz condition.

3在无穷维空间中研究倒向随机Volterra型方程也是有着重要意义的，论文利用与第二部分相同的思路将前面的结果推广到无穷维中，在非Lipschitz条件下对由柱Brown运动驱动的这种方程建立了解的存在唯一性。

A method for integrating infinite integrals that occur in solving the fields of source coil and equivalent coils is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the infinite integrals.

给出了一种简单有效的数值积分方法计算激励线圈和等效线圈解析解中遇到的无穷积分，提出了一种加速无穷积分收敛的有效方法，显著提高了磁场及涡流场的计算效率。

A method of integrating infinite integrals which occur in axisymmetrical field in eddy current testing is presented. Subtraction of asymptotic terms is proposed to speed up the truncation process of an infinite integration interval, which greatly improves the integration of infinite integrals.

本文对涡流检测中解析求解轴对称场时遇到的无穷积分给出一种简单有效的数值积分方法，提出一种改进积分收敛性的方法，加速了无穷积分的截断，显著提高了轴对称场的计算效率。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。