limit in the sense of pointwise convergence
- limit in the sense of pointwise convergence的基本解释
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点态收敛极限
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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。
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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。
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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。
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limit in the sense of pointwise convergence:点态收敛极限
limit function 极限函数 | limit in the sense of pointwise convergence 点态收敛极限 | limit of efficiency 有效极限