查询词典 strong inequality

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。

The dualistic organ to divide cities –the reasons of systems, that is, the census registering system to divide urban and rural areas; city-bias financial system; the inequality of political rights between urban and rural areas; the inequality of the distribution to social resources; the division of unsymmetrical markets between urban and rural areas; the system of burgage and the abuse to the system of peasant-labors.

城乡分割的二元结构—制度体制原因，即城乡分割的户籍制度；城市偏向的财政金融体制；城乡政治权利的不平等；城乡社会资源分配的不平等；不对称的城乡市场分割；土地产权制度和农民工体制的弊端等。

Cauchy—inequality is an extremely important inequality. Ingeniously applies it or its promoted type nimbly, may cause some more difficult problem to be easily solved.

摘要柯西不等式是一个非常重要的不等式，灵活巧妙地应用它以及它的推广式，可以使一些较为困难的问题迎刃而解。

Secondly, through integrating by parts and using Cauchy inequality, thanks to a lemma of Gronwalls type, an energy inequality is got and a priori estimate is established.

接下来经过分部积分和Cauchy不等式，并利用Gronwall型引理得到一个能量不等式，对解的范数给出先验估计。

Secondly, through integrating by parts and using Cauchy inequality, thanks to a lemma of Gronwall's type, an energy inequality is got and a priori estimate is established.

接下来经过分部积分和Cauchy不等式，并利用Gronwall型引理得到一个能量不等式，对解的范数给出先验估计。

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

Markov's inequality and Chebyshev's inequality are very important in probabilistic theory.

Markov不等式和Chebyshev不等式是概率论中两个重要的不等式。

Through comparing with the results by simulation to study the effects of theprojectile"s final velocity, the angle of rotation and the ballistic trajectory"s migration withdifferent projectile"s rotating speeds, different target"s moving speeds and differentpenetration angles.

通过比较数值模拟的结果来研究不同弹头转速、目标速度、侵彻角对侵彻过程中弹头最终速度、翻转角度和弹道偏移的影响。

I love stationery and all the accoutrement of writing.

我爱文具以及所有的书写的工具装备。