查询词典 inequality

: 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。

In the thesis , firstly the problem of static output feedback H∞control was explored for discrete time singular systems. Based on the generalized Riccati inequality and linear matrix inequality, necessary and sufficient conditions were obtained for the existence of static output feedback H∞controllers, which guarantees that the resulting closed-loop system is admissible with its transfer function matrix satisfying H∞norm constraint.

本文首先利用线性矩阵不等式和广义Riccati不等式，给出离散广义系统中存在静态输出反馈H∞控制器，使得闭环系统是容许的且其传递函数矩阵满足H∞范数约束的充要条件。

Landau's type inequality has some contribution to approximation theory of function and theory of inequality.

Landau's型不等式在函数逼近论和不等式理论具有一定意义。

In this paper we generalize Bernstein inequality of t he sequence of independent random variables to the martingale difference s, then we give an application of this inequality.

本文将独立随机变量序列的Bernstein型不等式推广到鞅差序列情形，给出该不等式的一个应用，并在一定条件下证明了非参数回归中函数估计的强相合性。

Subsequently,Bihari\'s inequality is generalized to the equation with fractional integral kernel.With the help of the new inequality,we further weaken the condition on equations with special integral kernels,and obtain the corresponding results.

然后，将Bihari不等式推广至具有分式积分核的情形，利用新的不等式对具有特殊积分核的方程条件做了进一步减弱，建立了相应的存在唯一性和正则性结论。

It is true that the discrete version of Korn's second inequality does not hold in the standard Crouziex-Raviart 1 element space. In [24] , the strain tensor was modified, at the same time, the bilinear form changed, as a result the modified discrete version of Korn's second inequality holding in the standard Crouziex-Raviart 1 element space.

我们知道，在标准的Crouziex-Raviart 1元空间中第二Korn不等式的离散形式是不成立，Falk在[24]中修改了应变张量，相应的弹性问题的双线性型也被修改，这样，修改后的第二Korn不等式的离散形式在标准的Crouziex-Raviart 1元空间中成立。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos theorem for convex bodies in higher dimensional Euclidean spaces,. Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

In addition, To release the storage load of triangle inequality elimination method, this dissertation develops an efficient codeword elimination criterion by combining the triangle inequality with the mean inequality.

另外，针对三角不等式删除准则的额外存储量大的缺点，本文通过结合均值不等式，推导出一条强有力的删除准则，大大缓解了额外存储量的负担并提高了算法效率。

Chapter 3 discusses the fundamentals inequalities in the rearrangement invariant martingale space, such as the corresponding important Doob"s maximal inequality, Burkholder-Gundy-Davis inequality and Rosenthal"s inequality.

第三章讨论重排不变鞅空间中的基本不等式，包括Doob极大不等式、Burkholder-Gundy-Davis不等式和Rosenthal不等式。

IiBy the double 〓-inequalities obtained in our thesis,we solve the problemthat classical 〓 inequalities be invalid when the value of the indices of 〓 functionsbe extreme and unify some classical martingale inequalities,for example:we unifyImkeller's inequality and Doob's inequality to the same double 〓-inequality.

第二，利用关于两个〓函数的不等式解决了鞅的经典〓不等式在〓函数数量指标〓取极端值时遇到的困难；统一了某些经典鞅不等式（如将Imkeller不等式与Doob不等式统一为同一种双〓不等式）。

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 。