查询词典 limit in the sense of pointwise convergence

Firstly,based on the B.Bowermans result about the rate of convergence in Cesaro sense of certain nonhomogeneous Markov chains which the transition matrices converge,we are to study a certain nonhomogenous Markov chains which the transition matrices average converge to a period strongly ergodic stochastic matrice,and control the average convergenc rate of transition matrices,then we get the rate of convergence in Cesaro sense about the nonhomogeneous Markov chains by used the character of norm and the character of nonhomogeneous Markov chains.It is an extension of a B.

首先在B.Bowerman等人研究转移矩阵列收敛的一类非齐次马氏链，其Cesaro平均收敛的收敛速度基础上，研究转移矩阵列平均收敛到一周期强遍历随机矩阵的一类非齐次马氏链，通过控制转移矩阵列平均收敛的收敛速度，利用矩阵范数的性质、非齐次马氏链的相关性质等，得到该非齐次马氏链转移矩阵Cesaro平均收敛的收敛速度，是B。

The result showed that the best is Coreopsis drummondii, its semi-lethal concentration and limit concentration both reached as high as 1.4%; The next was Callistephus chinensis, its semi-lethal concentration was 0.6%, and its limit concentration was 1.2%; The middle was Althaea rosea, its semi-lethal concentration was 0.4%, and its limit concentration was 1.2%; The lower one was Rudbeckia hirta, its semi-lethal concentration was 0.4%, and its limit concentration was 1.0%.

结果表明：耐盐性最强的是金鸡菊，其耐盐半致死浓度和耐盐极限浓度高达1.4%；其次为翠菊，耐盐半致死浓度为0.6%，耐盐极限浓度为1.2%；耐盐力中等的是蜀葵，其耐盐半致死浓度为0.4%，耐盐极限浓度为1.2%；耐盐性最差的是黑心菊，耐盐半致死浓度为0.4%，耐盐极限浓度为1.0%。

The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

This paper presents the concepts of double limit, repeated limit , directional limit and weak double limit of binary function, and discusses the relationships among them.

给出了二元函数的二重极限、累次极限、方向极限、弱二重极限的概念，讨论了这几种极限之间的关系。

And with these results, I delve further into the theoretical issues of MSP and the concentration is on a special class of MSP-Doob skeleton processes. Generalized limit distribution, limit distribution of these processes and conditions and the expressions for the existence of invariable measure of such processes are provided. Finally, these new results are then applied to queueing theory, reliability theory and inventory theory. A detailed study of GI/G/1 queuing model, parallel connection system model, water reservoir model and perishable inventory model is discussed. These models have already been investigated to some degree. In particular, as mentioned above, some scholars have already successfully applied the transient behavior theory of MSP to these models and transient distributions of main variables in such models have been obtained. However, the limit behavior has not been addressed. In this thesis, limit behavior of main variables in the above-mentioned models is established.

在这个基础上，对马尔可夫骨架过程的理论进一步进行了探讨，将注意力集中于一类特殊的马尔可夫骨架过程Doob骨架过程，给出了这类过程的广义极限分布、极限分布以及不变测度存在性条件和表达式，并应用这些结论于排队论、可靠性理论和存储论等领域-具体分析了GI/G/1排队论系统模型、并联系统模型、水库储水模型、易腐烂物品库存模型——这些模型都不同程度地被许多学者研究过，特别，如前面提及，已有人成功地应用马尔可夫骨架过程的瞬时性态理论，获得了上述各模型中的主要参量过程的瞬时分布，但是，却并没有探讨它们的极限性态——建立了若干关于上述各模犁的主要参量过程的极限性态的结果。

In principle, the maximum sharing limit for the petty sharing system shall be calculated by the month, that is, the total amount that is taken according to needs each month must not go beyond the maximum limit; the maximumsharing limit of the large sharing system shall be calculated every half year, that is, the total amount that is taken according to needs every half year should not go beyond the maximum limit.

原则上要求，小额共享制按月计算最高共享限额，即每月按需取用的总额累计不能超过最高限额；大额共享制按半年计算最高共享限额，即每半年按需取用的总额累计不能超过最高限额。

By using the optimal power flow,the relation between the electricity purchasing cost change and the line stability limit which is the product of the stability limit factor and the basic stability limit of the line,is described by the derivative of the augmented lagrangian function with respect to the line stability limit factor.

以最优潮流为工具，将线路的稳定限额看作是基准传输容量限值与稳定限额因子的乘积，通过增广拉格朗日函数对线路稳定限额因子的导数描述了系统购电成本的变化与线路稳定限额因子和线路基准稳定限额乘积的关系。

The pattern of camber die-drawing are optimized. The physical innate character of drawing with camber die is analyzed thoroughly. For the first time, the periodical relation between the limit drawing coefficient and the large longitudinal stress in dangerous section is established. Furthermore, the rationale to judge limit deforming degree is developed. Then, the limit drawing coefficient of drawing with camber die is proposed. Based on the criterion that the large stress in flange is smaller than that of limit value, the formula of drawing with camber die without wrinkles is deduced.

对拉深凹模的型式进行了优化；深入地分析了曲面凹模拉深成形的物理本质，首次定量地确定了极限拉深系数与危险断面最大径向应力的关系，提出了判断极限变形程度的依据，分析了极限承载能力，建立了曲面凹模拉深的极限拉深系数的表达式；以凸缘切向最大压应力小于凸缘切向压应力临界值为准则，推导出了曲面凹模拉深不起皱的理论表达式。

Article 14 In the case of applying for extending the time limit for the re-importation and re-exportation of goods, the holder of ATA carnet or consignor or consignee of goods temporarily imported or exported under non-ATA carnet shall, not later than 30 days prior to the expiry of the prescribed time limit, apply to the customs office which examines and approves the temporary importation or exportation of goods for extending the time limit and submit an Application for Extension of the Time Limit for the Goods Temporarily Imported / Exported (See format in Annex 4) and other relevant application materials.

第十四条暂时进出境货物申请延长复运出境、进境期限的，ATA单证册持证人、非ATA单证册项下暂时进出境货物收发货人应当在规定期限届满30日前向货物暂时进出境申请核准地海关提出延期申请，并提交《货物暂时进／出境延期申请书》（格式文本见附件4）以及相关申请材料。

The experimental results showed that the diameter of orifice had a great effect on the lower limit of the hung-up regime but not on the upper limit. However, the stagnant height in hopper, the angle of hopper, the length and diameter of standpipe had influence on the upper limit but not the lower limit.

实验结果表明：立管底部孔口大小对于悬料区的下限有影响，而对上限无影响；相反，漏斗中的物料高度、漏斗的锥度、立管长度和立管直径对悬料区的操作有很大影响。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。