查询词典 absolute inequality

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。

And to let us see, that even absolute power, where it is necessary, is not arbitrary by being absolute, but is still limited by that reason, and confined to those ends, which required it in some cases to be absolute, we need look no farther than the common practice of martial discipline: for the preservation of the army, and in it of the whole common-wealth, requires an absolute obedience to the command of every superior officer, and it is justly death to disobey or dispute the most dangerous or unreasonable of them; but yet we see, that neither the serjeant, that could command a soldier to march up to the mouth of a cannon, or stand in a breach, where he is almost sure to perish, can command that soldier to give him one penny of his money; nor the general, that can condemn him to death for deserting his post, or for not obeying the most desperate orders, can yet, with all his absolute power of life and death, dispose of one farthing of that soldier's estate, or seize one jot of his goods; whom yet he can command any thing, and hang for the least disobedience; because such a blind obedience is necessary to that end, for which the commander has his power, viz.

让我们看看，即使在绝对权力有必要的地方，也不会因为权力的绝对而变得肆意，而仍然受那个原因和目的的限制，在某些情况下要求权力是绝对的，我们只要看看军事纪律的普遍应用：为保护军队——这是与整个共同体一致的——要求对上级军官绝对的服从，这些命令即使非常危险或没有理由，不服从或表示异议也可以处死；然而我们知道，一个士官，他可以命令一个士兵冲向炮口，或坚守阵地，在这种情况下几乎必死，但是他也不能命令士兵交给他一个便士；一个将军，可以因士兵擅离岗位或没有遵守不顾一切的命令而处死，然而他也不能用他对生死的绝对权力而处置或夺走那个士兵一丁点儿的财产；虽然他能够对士兵下任何命令，稍不服从即可处死；因为对那个目的而言，这样的盲目服从是必要的，为着那个目的，即保护其余的人，指挥者拥有这种权力；但是处置士兵的财产与此无关。良好的人性，恰当的理性，和对上帝的信仰。

: Absolute value, inequality, absolute value inequality, analytic method."

中文关键词：：绝对值，不等式，绝对值不等式，分析法。

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。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。