查询词典 weak convergence

Paper [1]points out that GA with proportionalreproduction,adaptive crossover and mutation probabilitymeets the condition of elitist preserved GAand concludes AGAs global convergence from EGAs global convergence conclusion.At the same time,its considered the Markov chain AGA generates is inhomogeneous.

文[1]指出，具有比例复制和自适应交叉、变异操作的遗传算法满足最优保存GA的条件，则由EGA全局收敛的结论得出AGA也是全局收敛的；同时认为，AGA构成的Markov链为非时齐的。

And trust region type algorithm with memoryless technology not only satisfies new factorized quasi-Newton equation, but also saves much storage and algebraic operations than the original factorized quasi-Newton methods.we prove it posses the global convergence and the local superlinear convergence under some condition.

本文中利用无记忆技术产生的无记忆型信赖域算法不仅满足新分解牛顿方程，具有其所有的良好性质，而且比一般的分裂拟牛顿法节省存储空间，减少计算量。本文证明了在一定假设条件下该算法具有全局收敛性及局部超线性收敛性。

The severe storms on the squall line had large radar reflectivity and high tops of echoes. There was a divergence at lower level, a convergence at middle level, and a divergence at upper level in the velocity cross section of the squall. The VIL (Vertical Integrated Liquid water) of the storms increased rapidly to a large value, which is a good indictor of hailstorm. When the probability of severe hail is larger than 30% according to the hail index products, a hail storm is very likely to happen. The convergence line in the boundary can trigger and intensify convections.

结果表明：飑线是在有利的天气形势下发生的，飑线上强风暴的强度大、高度高；飑线速度剖面图中显示有低层辐散、中层辐合、高层辐散的特征；垂直累积液态水含量迅猛增加到比较大的数值对冰雹预报有很好的指示意义；在冰雹指数产品中以强冰雹概率大于30%作为冰雹预警门限则有较好的效果；边界层辐合线起到了触发对流和加强对流的作用。

In order to develop and modify Gregory scheme for cumulus convective parameterization,we make the improvement as follows:(1) The large-scale moisture convergence is taken into account and the organized inflow,which occurs in the area of large-scale moisture convergence and is directly proportional to it, is added to turbulent airflow.(2) The influence on saturation vapor pressure exerted by supercooled water is taken into account and the initial mass flux is adjusted. Based on diagnosis of the air heating and moistening, the downdraft airflow is adjusted.(3) Based on the character of our country heavy rainfall,which usually occurs in the mixed cloud consisted of stratocumulus and cumulus, the process of excessive convection is restrained by organized outflow in the top of cloud and improving downdraft current and by reducing the evaporation of rainfall and release of latent heat.

为了改进和发展Gregory积云参数化方案，(1)考虑了大尺度水汽辐合对积云对流的影响，即在混合卷入中加入有组织的卷入，让有组织的卷入存在于有大尺度水汽辐合的层次上，并且与大尺度水汽辐合直接成比例；(2)考虑了过冷水存在对饱和比湿的影响，调整了初始的质量通量，并且根据对大气加热加湿的诊断，调整了大气向下拖曳的强度；(3)根据我国降水多由层状云和嵌入其中的对流云混合产生的这一特点，对于过强对流过程进行抑制，在云顶加入有组织的卷出，同时加大向下拖曳的强度，减少蒸发以降低潜热的释放，抑制过强对流的发生。

By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用，给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理，以及序列空间的〓对偶空间之弱序列完备性定理等。

Based on the concepts of asymptotic center point and the asymptotic radius, this paper discusses the existence and the weak convergence of the fixed point in the multi_valued asymptotically nonexpansive mappings.

本文借助于渐近中点、渐近半径的概念，得到一致凸Banach空间中非空有界闭凸子集上的连续集值渐近非扩张映射有不动点。

Next,it proves that if E is a barrelled space and F〓 is a locally convex space,Kis all the compact operators of L,then the weak operator topology and the uniformly operator topology have the same sub-series convergence series in Kif and only if 〓 contains no copyof 〓.

其次又得到，若E是桶型空间，〓是局部凸空间，那么紧算子空间K中弱算子拓扑与一致算子拓扑具有相同子级数收敛的充要条件是〓不拓扑同胚地包含〓。

In addition, considering the possible weak instruments problem in the first difference GMM estimator developed by Arellano and Bond (1991), the system GMM developed by Blundell and Bond (1998) should be a more suitable way to observe the relation between initial income level and economic growth convergence.

此外，考虑采用Arellano and Bond(1991)的the first difference GMM估计式可能存在弱工具性问题，以Blundell and Bond(1998)发展出的the system GMM估计式，作为探讨初始所得与经济成长收敛的关系应是较为适合的方法。

Under some weak conditions, the global convergence theorem of the method is established.

该结果可视为Toint(1986)提出的分块BFGS算法的推广。

By using modified conditions for dominant function,we establish extended dominated convergence theorem and obtain an application to integral operators with weak singularity , which simplifies the proof of the classical conclusion.

本文研究了一类推广的控制收敛定理及其应用，利用对控制函数满足条件的修改，建立了推广的控制收敛定理，获得其在弱奇异性积分算子中的应用，简化了经典结论的证明。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。