查询词典 inequality

Secondly, we consider stochastic LQ optimal control problem driven by Lévy processes and Brownian motion. By applying the -Lévy formula, Gronwall's inequality, Young's inequality and Cauchy-Schwarz inequality, we obtain the closeness property of the solution of multi-dimensional backward stochastic Riccati differential equations.

第二部分首先研究由布朗运动和Lévy过程共同驱动的随机LQ最优控制问题，接着利用-Lévy公式、Gronwall不等式、Young不等式及Cauchy-Schwarz不等式证明多维倒向随机Riccati微分方程适应解的闭性质，并利用此性质证明一维BSRDE解的存在唯一性。

In chapter 3, we study the Bihari type inequality of integral equation with retarded term, we consider the inequality of integral equation as follows:In this section we will get some new result about the inequality (3.1.1) on t_0,∞.

我们考虑了下面的积分方程不等式这节我们将得到不等式(3.1.1)在t_0，∞上的一些新结论，同时将给出一个反例，修正了文

Retarded term; Impulsive term; Integral inequality; Nonlinear equation; Volterra inequality; Bihari inequality

时滞项；脉冲项；积分不等式；非连续函数； Volterra型不等式； Bihari型不等式

First of all, Cauchy inequality is used to obtain a basic inequality. Secondly, the functions of basis are made by Galerkin method, and the error estimates of eignevalues are obtained by Cauchy inequality. At last, the computational method of the approximate value of the eigenvalues turns out immediately, and accuracy of the-th approximate value is estimated by the n-tb approximate value.

首先利用Cauchy场不等式证明了一个基本不等式；其次采用Galerkin方法来构造适当的基函数，并利用Cauchy不等式给出了其特征值计算的误差佑计式；最后得到计算梁横向振动问题的特征值的近似值的算法，而且可以用第n次近似值来估计第n-1次的近似值的精确度。

In this paper,quadratic form theory,the European space inner product nature and Jensen inequality are three ways to prove cauchy inequality,and bthe relation between Cauchy inequality and higher mathematics was illustrated briefly.

本文运用二次型理论、欧式空间中内积性质和詹森不等式三种方法证明柯西不等式，并简要说明柯西不等式与高等数学之间的联系。

The asymptotic behavior of the weak solution is obtained when an enthalpy function is made in L(superscript 2 subscript +) and a differential inequality is proved after using Cauchy inequality, Poincare inequality and the definition of weak solution.

在L(上标2 下标+)空间上构造了一个熵函数，利用带ε的Cauchy不等式和poincare不等式及弱解的定义，推导出了此函数满足的一个微分方程不等式，通过求解微分方程，证明了弱解的渐近性问题。

In order to study the popular curve shortening flow in the plane, Gage[3] has shown in 1983 the following inequality, if k is the signed curvature of a closed convex plane curve γ with length L and enclosing area A, then one gets Gage calls it an isoperimetric inequality in [3], but he does not show that the equality holds if and only if the curve γ is a circle, while as an isoperimetric-type inequality, one should prove this kind of result.

Gage称之为等周不等式，但他没有证明其中等号成立当且仅当，γ为圆周，而作为等周型的不等式是应该证明这种结果的，本文我们利用单位速率外法向量流，通过努力证明了这种结果，从而把Gage不等式加强成更加等周的形式。

In the long run, the cumulative effect of inequality on investment is negative.（2） Inequality has moderate effect on education, and the cumulative effect is positive.（3） The effect of inequality on investment overweighs its effect on education, so inequality has a strong indirect effect on growth instantaneously. The effect turns positive and then weakly negative.

研究发现：（1）收入差距在即期对投资有非常强的负面影响，之后影响变为正，再逐渐下降至微弱的负，从长期来看，收入差距对投资的累积影响始终为负；（2）收入差距对教育的影响较弱，其累积影响始终为正；（3）由于投资对于经济增长的作用超过了教育，因此收入差距对于经济增长的间接影响主要来自于投资的渠道。

Uniqueness of solution for generalized variational inequality related to strongly monotone Lipschitz mapping is shown. A sufficient condition is presented on the connectedness of solution set for the weak vector variational inequality on which the mapping is from a topological vector space X to L , where Y is also a topological vector space. The result is derived by discussing the properties of set-valued mapping induced by solution set of a scalar variational inequality related to the weak vector variational inequality.

利用拓扑向量空间到连续线性映射空间L的映射的弱向量变分不等式和与之相关的标量型变分不等式解集的关系，得到标量型变分不等式解集所表征的集值映射的特性和弱向量变分不等式解集的连通性条件。

We prove the corresponding Doob"s maximal inequality, Burkholder-Gundy-Davis inequality, the greater-smaller operator inequality and Rosenthal"s inequality in the framework of rearrangement invariant martingale space on finite interval.

包括重排不变鞅空间及其中的Doob极大不等式，Burkholder-Gundy-Davis不等式，上、下不等式，Rosenthal不等式等。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。