查询词典 limit in the sense of pointwise convergence

As applications, we prove the following results: If / has pointwise pseudo-orbit tracing property, for any k ∈ Z+, and fk is chain transitive, then for any k ∈ Z+, fk has open set transitive ; If f has pointwise pseudo-orbit tracing property, and for any n ∈ Z+,fn is chain transitive, then f has sensitive dependence on initial conditions; If f is open set mixing and has pointwise pseudo-orbit tracing property, then f has property P; Let f :→ be a homeomophism, then f is pointwise pseudo-orbit tracing property if and only if the shift map σf is pointwise pseudo-orbit tracing property.

作为应用，证明如下结论：若f具有逐点伪轨跟踪性质，且对任意k∈Z+，fk为链转换的，那么对任意k∈Z+，fk为开集转换；若f具有逐点伪轨跟踪性质，且对任意n∈Z+，fn为链转换的，则f具有初始敏感依赖性质；若f为开集混合的，且具有逐点伪轨跟踪性质，那么f具有性质P；设f：→是同胚映射，那么f具有逐点伪轨跟踪性质当且仅当移位映射σf具有逐点伪轨跟踪性质。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

From 1978 to 2000, there was not σ-convergence of the PGDP growth in Jiangsu province; From 1984 to 1993 and since 1999, there was not σ-convergence of the per capital net income of rural households growth, but from 1993 to 1999, there was a -convergence; From 1978 to 2000, there was not absolute β-convergence of the PGDP growth in Jiangsu province, but there was conditional β-convergence and the convergence intensity was feeble, half-lifecycle is comparative long, the least half -time of the undeveloped region will catch up with the developed region was 115 years; From 1994 to 2000, there was club-convergence hi the northern Jiangsu and the Middle Jiangsu, but there was not club-convergence in the northern Jiangsu.

第四，基于经济增长收敛的理论与方法，对江苏省区域经济发展的收敛性进行了研究。1978一2000年，江苏省人均GDP总体上不存在u一收敛；农民人均纯收入增长在1 984一1993年及1999年以后不存在a一收敛、在1993一1999期间存在a一收敛；1978-2 000年，人均GDP增长总体上不存在绝对p一收敛，但存在条件p一收敛，收敛的程度较弱，半生命周期比较长，落后区域要缩小与发达区域经济差异的一半最少也需要115年；1 994一2000年，在经济比较发达的苏南和苏中内部存在俱乐部收敛，在苏北内部不存在俱乐部收敛趋势。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence.

首先，提出了几类模糊随机变量序列的收敛性概念，包括：必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛；其次，讨论了收敛性之间的关系；最后我们设计了模糊随机模拟算法，用于计算模糊随机事件的平均机会，寻找收益函数的乐观值，以及估计模糊随机变量的期望值。

Based on the system feedback archetype mode theory, the dissertation introduce the upper limit stepwise generation and elimination method of the system pullulate upper limit mode, construct the five upper limit archetype mode such as: market demand upper limit archetype mode, human resource upper limit archetype mode; fund upper limit archetype modes; technology innovation upper limit archetype mode; government support upper limit archetype mode ;By combining the five upper limit archetype mode ,we can attain a electronic information industry developmental pattern system upper limit archetype mode.

利用系统科学反馈基模分析理论，提出了系统成长上限模型上限逐步生成与消除法，通过构建江西电子信息产业市场需求成长上限子基模、人力资源不足成长上限子基模、政府支持有限成长上限子基模、资金不足成长上限子基模、创新能力不足成长上限子基模等5个基模，并对其做并运算，得到了江西电子信息产业系统成长上限基模，刻画了资金、市场、技术创新、人才与政府支持相互制约的关联关系。

We gen-eralize the holomorphic pointwise multiplier to pluriharmonic and〓-harmonic pointwise multiplier on the Bergman space.Somecharacterizations of such pointwise multipliers are gotten.

解析点乘子推广到多调和或〓调和的情形我们是在Bergman空间上做的，得出了关于Bergman空间上点乘子的一些性质。

In the second chapter, we introduce the definition of pointwise convex modulus. The relation between numbers of pointwise convex modulus and relevant geometric properties will be discussed. we research the characteristics of numbers of pointwise convex modulus .

在本文第二部分引入了点态凸性模的定义，并讨论了点态凸性模的取值与相关几何性质之间的关系，研究了点态凸性模取值特点。

Convergence of the test results shows that the economy does not have absolute convergence of the economic characteristics, but this shows the characteristics of condition convergence; Human capital investment rate in the regional economic model have shown significant positive effects that is a notable convergence of factors of affecting the regional economy. On the three core areas of the club convergence test shows that within the three core areas still exist absolute convergence trend, but including human capital expansion of the Solow model the test results have all shown significant convergence of the regional club.

3收敛性的计量检验结果说明，浙江区域经济不存在绝对收敛的经济特征，但表现出显著的条件收敛性特征；人力资本投资、教育和健康形式的人力资本积累均有利于提高区域经济增长，且对区域经济收敛性具有促进作用，这种效应在浙江区域经济中已表现出显著性效应，是影响区域经济收敛的一个显著因素；对三大核心区的俱乐部收敛性检验说明，三大核心区内部仍不存在绝对收敛趋势，但包括人力资本的扩展Solow模型的检验结果却均表现出显著的地区俱乐部收敛性。

This passeage discusses the sequence of cauchy criterion function limit, the convergence of cauchy criterion, the convergence of the series, the function of cauchy criterion listed uniform convergence of cauchy criterion function series, uniform convergence of cauchy criterion, plane of cauchy criterion, some abnormal integral parameter uniform convergence of cauchy criterion and summarized and proof, and through a lot of sample reflected their status and role.

马上要交论文了，摘要不晓得如何翻译，现在请诸位高人帮助翻译1下，不能在线翻译哦，高悬赏~~~~~~感谢本文主要论述了数列地柯西收敛准则，函数极限存在的柯西准则，级数收敛的柯西准则，函数列一致收敛的柯西准则，函数项级数一致收敛的柯西准则，平面点列的柯西准则，含参量非正常积分一致收敛的柯西准则的应用并进行了总结和证明，并通过大量的例题体现了它们的地位和作用。

The main conclusions of this chapter are the following: There is no absolute regional convergence since 1978, even the period were divided into two stage: 1978-1991 and 1992-2002; There exists absolute convergence among the provinces in eastern region in the period 1978-1991, the phenomena is alike to the central and western regions, so the club convergence is the fact of the regional economic growth in this stage; From 1992 to 2002, instead of the club convergence, there exists conditional convergence, human capital, capital investment, international trade and FDI influenced the regional economic growth rate markedly; The distribution of income across provinces don't transform from a unimodal into a bimodal distribution.

本章的基本结论是：改革开放以来不存在绝对收敛，即使将整个改革时期划分为1978—1991年和1992—2002年两个区间也是如此；1978—1991年期间，东部地区和中西部地区内部各自存在人均GDP和劳均GDP增长的收敛，从而形成了俱乐部收敛；1992年之后，并不存在俱乐部收敛，但存在一定的条件收敛，人力资本、物质资本投资、国际贸易和FDI对劳均GDP增长有着重要的正向影响；收入分布并没有发生由单峰向双峰分布的转变，总体上单峰的态势依然十分明显。

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。