不等式

These conditions do not relate to the unknown parameters but the dimension of model, so it is easy to apply in practice. Next, we consider the relative efficiency of LSE against the beast linear unbiased estimator.

我们给出了Pitman准则下，最小二乘估计优于Within估计的一个充分条件，最后又得到了广义均方误差意义下两步估计一致的优于Between估计和Within估计的充分条件，并且这些条件只是和模型维数有关而和未知参数无关的一些不等式关系，因此便于实际应用。

By introducing a smooth merit function for linear inequalities system problem, the problem was equivalently reformulated as an unconstraint optimization problem.

通过引入线性不等式组问题的一类光滑价值函数，将其求解问题等价地转化为无约束优化问题的求解。

In a transportation network supported by the Advanced Traveler Information Systems,the drivers equipped with ATIS are directed by a control center to select their routes so as to minimize the total network travel time,while the unequipped ones make the route choice decisions on the base of minimizing their individual travel times.

考虑一个被路径诱导系统支持的交通网络，装有ATIS的出行者接受交通中心的指挥、按照系统最优的原则选择路径，没有该装置的出行者根据个人成本最小的原则择路，建立了刻画这种混合交通行为的变分不等式模型，推导了混合交通行为网络的效率损失上界，并以多项式路段成本函数为例给出了一些上界的特殊值。

Direct and inverse theorems of approximation by this kind of operators are discussed, and the Jackson—type integral estimation of approximation and Steckin — Marchaud inequality of weak type of uniform approximation for these operators are obtained.

讨论了一元Bernstein型算子的逼近正逆定理，建立了该算子逼近的Jackson型积分估计式和一致逼近的弱Steckin-Marchaud型不等式。

In order to study the uniform persistence and global stability of a delayed nonautonomous three specie predator-prey Lotka-Volterra system without dominating instantaneous negative feedback .

为了研究一类没有即时负反馈控制的3种群捕食者-食饵系统的持续性和全局稳定性；在给定的条件下，利用不等式知识，证明了系统的一致持续性。

Large deviation principle; kernel density estimator; concentration inequality; Markov processes; uniformly integrable operators

基础科学，数学，概率论、数理统计大偏差原理；核密度估计量；集中不等式；马氏过程；一致可积算子

The switching law is assumed to be unobservable Markov process.

对于切换律是可观测的情形，利用线性矩阵不等式和共同2次Lyapunov函数的方法，给出具有参数不确定的切换系统2次镇定的充分条件。

A sufficient condition for the existence of unperturbed systems is given in terms of linear matrix inequalitis.

JP2对于标称系统以线性矩阵不等式形式给出一个反馈控制器存在的充分条件。

In this paper we have studied the Upper bound for the time derivative of information entropy for a dynamical system driven by colored cross-correlated colored noises. The Fokker-Planck equation was obtained by using the unified colored noise approximation. The upper bound for the rate of entropy change can be calculated explicitly based on the definition of Shannon's information entropy and the Schwartz inequality principle.

" T！ z2 r" j0 S0 F5 J* T 摘要：本文研究了一种由色关联乘性和加性色噪声驱动的随机耗散动力学系统随时间演化的熵变化率上界，通过统一色噪声近似方法给出了该系统的近似Fokker-Planck方程，然后结合Shannon信息熵的定义及Schwartz不等式原理给出了该系统经近似后熵变化率上界随时间演化的精确表达式。

In order to solve the traveler route and departure time choice problem under multiple transportation modes,the variational inequality formulation is proposed in modeling the traveler stochastic dynamic simultaneous route and departure time choice behaviors with elastic demand .

为了解决在多种交通模式条件下出行者的路径与出发时间选择问题，提出了一个变分不等式模型用于模拟具有变需求的多模式随机动态出行选择行为。

I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里，举止就文雅一些，因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计，这件高贵的制服是香港本土制造，是我们第一套不配帽子的制服。