查询词典 infinite

Firstly, the existence and uniqueness of the solution for neutral stochastic functional differential equations with infinite delay under the uniformly Lipschitz condition, linear grown condition and contractive condition can be directly derived; And the moment estimate of the solution and the estimate for error between the approximate solution and the accurate solution can be both given; If the uniformly Lipschitz condition is replaced by the local Lipschitz condition, the existence and uniqueness theorem can be gained; Meanwhile, the existence and uniqueness of the global solution in the interval 0,+∞ can also be obtained; Secondly, L~p-exponential estimate of the solution for neutral stochastic functional differential equations with infinite delay can be studied; At length, the theorem of the local solution about neutral stochastic functional differential equations with infinite delay only under the local Lipschitz condition and the contractive condition can be established.

首先，在一致Lipschitz条件，线性增长条件和压缩性条件下，直接得到了具无限时滞中立型随机泛函微分方程解的存在惟一性，并给出了解的矩估计，近似解与精确解之间的误差估计；将一致Lipschitz条件替换为局部Lipschitz条件，也得到了具无限时滞中立型随机泛函微分方程解的存在惟—性，同时，也给出了在整个区间0，+∞上具无限时滞中立型随机泛函微分方程解的存在惟一性定理；其次，也讨论了具无限时滞中立型随机泛函微分方程解的L~p指数估计；最后，在局部Lipschitz条件和压缩性条件下，建立了具无限时滞中立型随机泛函微分方程局部解的存在惟一性定理。

In this project, the stability of a class of complex dynamical system with infinite dimensions is investigated. The dynamical systems are described by the infinite differential equations with time delays. The comparison principle of the stability for the infinite dimension system is obtained.

本项目研究一类以无限个具有时间滞后的常微分方程关联而成的复杂动力系统的稳定性，建立了这类无限维系统中的比较原理，得到了无限维比较系统的稳定性条件和比较系统的集结方法，建立了无限维复杂时滞系统稳定性分析的矢量Liapunov方法。

In the world within may be found infinite Wisdom, infinite Power, infinite Supply of all that is necessary, waiting for unfoldment, development and expression.

内在世界的和谐，将会通过和谐的景况、惬意的环境以及万物的最佳状态反映在外在世界中。

C The semi-infinite crack propagating in infinite region with the fiber bridging traction action is equal to the semi-infinite crack propagating in strip.

(3)受桥联纤维力作用的半无限长裂纹在无限域中扩展等效于半无限长裂纹在带域中扩展。

The conclusions are: The sonic velocity determined by the material's properties is the upper limit of the crack velocity; Bridging fibers plays a key role in increasing the composite's toughness and stopping the crack's propagation; The semi-infinite crack propagating in infinite region with the fiber bridging traction action is equal to the semi-infinite crack propagating in strip.

结论有：(1)由材料性能决定的音速是裂纹传播速度的上限；(2)桥联纤维在增韧复合材料和组织裂纹扩展中起了关键作用；(3)受桥联纤维力作用的半无限长裂纹在无限域中扩展等效于半无限长裂纹在带域中扩展。

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。

If we hope to use a sequence of finite objects to approximate infinite objects, then we should know what kinds of infinite objects are approximable and how to approximate them effectively.

无穷形式对象可逼近的充分条件为了研究哪一类无穷对象可以逼近以及如何有效地逼近它们，我们用过程模式作为无穷对象上的计算的模型，用以刻画接受无穷输入、生成无穷输出的无穷对象上的计算。

In years past, in fact, they held to the Aristotelian idea of a universe that was "ungenerated and indestructible," with an infinite past and an infinite future.

事实上，在过去的岁月里，他们坚持亚里士多德的"无生无毁"的宇宙观念，即过去是无限的，未来也是无限的。

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。

But, in fact, there is a possibility of expression in pure line, and its rhythm may be of infinite different kinds expressive of infinite varieties of mood and condition.

然而事实上，纯粹的线条也有表达的可能。它用变化无穷的节奏表达出心情和条件的无穷变化。

So it was last week in Selma , alabama.

上星期在亚拉巴马州塞尔马市发生的事件也是这样一个转折点。

The group also spearheads various social programs in China.

该组织还带头参与中国的各种社会活动。