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开集

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Experimental results show that the correlation between the result of the proposed approach and MOS is up to 0.91 in close-set test and 0.88 in open-set test.

实验结果表明,所提算法获得的评测结果与主观MOS评价之间的相关度,在闭集测试时可达0.91,在开集测试时可达0.88。

In the model of pure exchange economy of not complete real assets market, those who proved to be put in the product space of initiative hold space and capital structure space is dense open market, collect leaves to go up in this, bogus drafts balanced part is solid some flows glossily form.

在不完全的实在资产市场的纯交换经济模型中,证明了存在初始持有空间和资产结构空间的乘积空间的稠密开集,在这个开集上,伪拟均衡集是固有的光滑流形。

Based on the definition of Boolean function on set and positive extension, The sufficient and necessary condition of PBF is proven. At last, an algorithm of generating MSP expression of stack filter positive Boolean function is presented taking advantage of Hasse diagram.

通过定义布尔函数开、闭集和最小项正、负扩展,证明了布尔函数具有层叠性的充要条件是布尔函数开集的正扩展或闭集的负扩展具有不变性,在此基础上,提出了一种通过Hasse图确定层叠滤波器最简正布尔函数的算法。

Based on the definition of Boolean function on set and positive extension, The sufficient and necessary condition of PBF is proven. At last,an algorithm of generating MSP expression of stack filter positive Boolean function ispresented taking advantage of Hasse diagram.

通过定义布尔函数开、闭集和最小项正、负扩展,证明了布尔函数具有层叠性的充要条件是布尔函数开集的正扩展或闭集的负扩展具有不变性,在此基础上,提出了一种通过Hasse图确定层叠滤波器最简正布尔函数的算法。

The concepts of Hausdorff dimension and measure have been introduced for near one hundred years. There are lots of works have been done on the calculation and estimation of Hausdorff dimension, such as the result of self-similar set which satisfies open set condition.

Hausdorff维数与测度的概念被引入至今己近百年,Hausdorff维数计算与估计的研究己取得相当进展,如关于满足开集条件的自相似集的结果,但对Hausdorff测度的计算而言所得的结果却不多。

In Chapter One,we find the relationship between strong open set condition , Hausdorff dimension,the positivity of the Hausdorff measure and β space of graph-directed self-similar sets in complete metric spaces.

在第一章中,我们讨论了在度量空间中,图定向自相似集的强开集条件、Hausdorff维数,正的Hausdorff测度和β空间之间的关系。

In point set topological theory, open set and neighborhood are the basic concept.

在点集拓扑理论中,开集、域等是最基本的概念。

In Chapter 2, we introduce self-similar sets and open set condition.

第二章介绍自相似集与开集条件。

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。

On the other hand, there are no open sets in riddled basin but there are open sets in wada basin. The further study hints that this complex basin may be caused by riddling bifurcation and local-global riddling bifurcation.

通过比较发现该复杂筛形域的不确定性指数接近于零而Wada域的不确定性指数明显大于零;在该复杂筛形域中不存在开集,而Wada域中则存在着开集

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