有界性

Using the property of the bilinear and trilinear form, a priori bound for solutions of a weak formulation is given.

利用双线性函数和三线性函数的性质，论述了各子问题的有界性、强制性以及解的先验估计。

On the basis of the theory of option pricing,We study the connection between America call option and European call option;Under the assumption condition of Black-Scholes formula ,use the theory of martingales and stopping time,get the conclusion that: the price of America call option equals the price of European call option; Discuss some numeric computing methods of the put America option pricing, with the invarional inequaility for optimal stopping, prove the boundary property of America put option price ...

基于期权定价的基本理论，研究美式看涨期权与欧式看涨期权之间的关系；在Black-Sc holes公式假设条件下，利用鞅和停时理论，得美式看涨期权的价格与欧式看涨期权的价格相等；探讨美式看跌期权价格的数字化计算，在相关假设条件下，利用基于最优化时的变分不等式证明了美式看跌期权价格的有界性，并介绍了几种美式看跌期权价格的数字化计算方法。

They also pointed out some asymptotic properties of the sequential estimation, such as asymptotic consistency, that is P ,and asymptotic efficiency, that is .

最近，A.Dmitrienko(2000)在构造极大似然估计的序贯置信区域时，提出了一个新的渐近性质：未知代价的有界性，即这是一个很值得考虑的渐近性质。

We know that more functionals are not bounded from below.

我们知道更多的泛函都不具有下方有界性。

Hence, in order to enlarge the range of the applicable functionals, weakening the restriction of bounded from below is very necessary.

因此为了扩大适用泛函的范围，削弱下方有界性这个条件是非常有必要的。

This paper investigates topological properties of the general gradient system, and demonstrates by results of differential topology that the boundedness of the general gradient system is equivalent to the boundedness of the potential energy boundary surface. Moreover, a general gradient system is bounded if, and only if the system has both sink point and source point.

该文研究了广义梯度系统的拓扑性质，应用微分拓扑学原理证明，广义梯度系统的完全稳定性与势能界面的有界性是等价的；广义梯度系统完全稳定当且仅当该系统既有渊点又有源点。

Analyses for well posed characteristic and boundedness of the solutions to the models, especially for existence and stability of the corresponding cyclic steady-state solutions and other large time behavior of the solutions to the models have much meaning to assure that the models are practical and to understand the processes of this kind reactors.

分析模型解的适定性和有界性，特别是循环定态解的存在唯一性和稳定性以及其它解的大时间性态，对保证模型的实用，深刻了解此类反应器的过程特性有重要的意义。

Under the conditions that the concrete expression of its singularities are not sloved,we discuss the bounded property of trajectories, separatrix configuration,nonexistence and existence of limit cycle.

对一类多分子反应模型x＝1－αx－xpyq，y＝βy（xpyq－1－1）进行定性分析，在第一象限奇点无法具体求出的条件下，讨论了轨线的有界性，分界线的位置关系以及极限环的存在性和不存在

At the end, using back-stepping technique, control laws are designed for each control variable to guarantee the globally uniformly ultimately boundedness of all state variables and the convergency of system output.

控制规律的设计仍采用反步法(Back-stepping)，对于每个不确定项，都设计了一个动态估计环节以应对其影响，最终保证了全部状态变量的一致最终有界性和系统输出的收敛性。

The main work of this thesis is to prove that, in the above two cases, the corresponding BP algorithms with weigh-decay and inner-product penalty are deterministically convergent.

本文主要研究在批处理和在线两种运行模式下，带weigh-decay和inner-product惩罚项的BP算法的收敛性以及引入惩罚项后网络权值的一致有界性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。