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It is proved that if μ is not singular, then it is absolutely continuous with respect to Lebesgue measure.

本文证明了μ要么关于Lebesgue测度奇异,要么关于Lebesgue测度绝对连续。

In this paper, based on MPEG 2 Test Model 5 (TM5) bit rate control algorithm, there are some improvements proposed:① an intelligent integral action is proposed for improving the control precision of bit rate;② after using DCT AC coefficients to define the measure of macroblock and picture coding difficulty, an improvement on target bits allocation is proposed for the decoded picture quality and conformance including scene change, which can adjust the target bits allocation adaptively by their measure.

针对MPEG-2测试模型5(TM5)比特速率控制算法进行了以下改进:①引入一种智能积分作用,有利于提高比特速率的控制精度;②采用DCT交流系数定义宏块和图象的编码难度测度,然后提出了改进的目标编码量分配策略,即根据编码难度测度自适应调整图象和宏块的目标编码量,有利于提高包括场景变化在内的图象解码质量及其一致性。

After a brief review about the problems of bit rate control for MPEG video coding, two optimizations are proposed based on MPEG-2 Test Model 5 (TM5) algorithm:①An intelligent integral action is introduced for improving the control precision of bit rate;②After using DCT AC coefficients to define the measure of macroblock and picture coding difficulty, an improvement on target bits allocation is proposed for the decoded picture quality and conformance including scene change, which can ajust the target bits allocation adaptively by their measure.

文中首先对MPEG视频编码比特速率的控制问题作了简要回顾,然后针对MPEG-2测试模型5(TM5)算法进行了以下优化:①引入一种智能积分作用,有利于提高比特速率的控制精度;②采用DCT交流系数定义宏块和图象的编码难度测度,然后提出了优化的目标编码量分配策略,即根据编码难度测度自适应调整图象和宏块的目标编码量,这样有利于提高包括场景变化在内的图象解码质量及其一致性。

Let μ be a smooth measure with a quasi regular Dirichlet form, A μ be its non negative additive functional,and U α A μ be the α Potential operator of A μ.

设μ是拟正则狄氏型的光滑测度,Aμ是其对应的非负连续可加泛函,UαAμ是Aμ的α位势算子,本文证明了测度μUαAμ关于μ的绝对连续性,并以R-N导数dμUαAμdμ刻划了μ具有有限能量积分的条件。

In the fourth chapter,first of all,a metric space is derived by the Loeb measure space which is a standard measure space,follow that the Completeness,separability and the Baire theorem are expressed.

第四章中,首先由Loeb测度这个标准测度空间导出度量空间,接着讨论了该度量空间的完备性和可分性以及其Baire定理(来源:A8525B52C论文网www.abclunwen.com)。

The basic properties of the importance measure of the basic variable effect on the failure probability are discussed in this paper. Since the saddlepoint based line sampling method is independent of the distribution types of the random variables, and has the advantages of high accuracy and efficiency, this method is employed to estimate the defined importance measure.

文中分析了所定义基本变量对失效概率影响重要性测度的基本性质,并基于鞍点线抽样在求解可靠度时不受随机变量分布形式的限制及其效率和精度较高的优点,提出了求解该重要性测度的鞍点线抽样方法。

However, Hausdorff distance is a measure for two binary point sets, not for grayscale point sets.

但是,Hausdorff距离是两个二值点集合间的测度,而不是灰度点集合间的测度

The measure transformation law of the binomial tree model and its deduction are obtained, analogous to continuous model.

类似于连续情形的测度变换,获得了二叉树模型的一个测度变换定理和推论。

From the curve, we linearised the CCS nonlinear model and constructed the T-S fuzzy model of the unit by linking together the linear models of the unit with membership functions. A kind of fuzzy supervisory control system in which using the multi-variable inner model controller or robust controller as its local controller and T-S fuzzy model as the inner model of the supervisory controller has been proposed.

本文的研究内容集中在如下几个方面:根据非线性系统平衡流型和非线性测度的定义,提出了关于平衡流型参数的相对非线性测度的概念,据此绘出了一个具体单元机组机炉协调控制系统模型的相对非线性测度曲线,对此协调控制系统非线性模型进行了线性化,并用隶属度加权的方法将各线性化模型连接成协调控制系统T-S模糊模型。

Our study addresses the following topics:A conception of relative nonlinear measure on the equilibrium manifold parameter has been derived based on the definitions of equilibrium manifold and nonlinear measure about nonlinear system.And the nonlinear measure curve of a material boiler-turbine CCS model has been drawn.From the curve, we linearised the CCS nonlinear model and constructed the T-S fuzzy model of the unit by linking together the linear models of the unit with membership functions.

本文的研究内容集中在如下几个方面:根据非线性系统平衡流型和非线性测度的定义,提出了关于平衡流型参数的相对非线性测度的概念,据此绘出了一个具体单元机组机炉协调控制系统模型的相对非线性测度曲线,对此协调控制系统非线性模型进行了线性化,并用隶属度加权的方法将各线性化模型连接成协调控制系统T-S模糊模型。

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