查询词典 iterated integral

Long after the time when Ciesielski and Taylor obtained the law of iterated logarithm of occupation measure of spatial Brownian motion, Dembo,Peres,Rosen and Zeitouni made a multifractal analysis of occupation measure of spatial Brownian motion, and got the multifractal spectrum of the occupation measure.

Ciesielski和Taylor(1962年)得到了空间布朗运动占有测度的重对数律。

Fri particular, the Wittmann-type strong law of larg numbers for independent random variables is generalized to the case of NA random variables. We also present the sufficient and necessary condition of the laws of logarithm, and we extend Teicher-type strong law of the large numbers for sequence of NA random variables. Some of the laws of iterated logarithm of Teicher-type, Egorov-type arid Wittmann-type for sequence of NA random variables are obtained. Then we investigate the rate3f ionvergcll( fbr series of NA randonl variables, we obtain soIne results fbr tl1e Iaws of theiterated logarithttl, the laws of logarithm and decreasing order fOr the tail sum.Risk itllttlysis tlleory is a sigIlifica11t part of insurance InatheInatics.

Wittmann（1985a）关于实独立随机变量列的结果，并给出了NA列强大数律成立的若干条件，特别建立了一般NA列对数律成立的充分必要条件，在二阶矩存在的条件下完整的解决了一般NA列对数律的问题，中文摘要2而已有的一些NA列对数律的结果可以由它推出，给出了NA列的Teiclier型强大数律，表明lbiChCI·（1979）给出的实独立随机变量列的强大数律可以减弱其条件等；建立厂不问分布NA列的Teicfl仪；Egorov，Petrov型有界重对数律，以及加权同分布NA列的有界重对数律，进一步推广了NA列的Kolmogory有界重对数律等，特别对NA列建立了Wittm洲型有界重对数律，而其证明方法与独立情形有很大不同，同时通过反例表明在与独立场合类似的条件下，独立列的Wittmann有界重对数律不能完美的推广到NA歹小惰形；最后研究了NA随机变量级数的收敛速度，给出了尾和下降的阶；尾和的有界重对数律，及尾和对数律成立的充要条件等，并通过反例说明 NA随机变量级数与独立随机变量级数在收敛速度方面存在的差异。

Stationary NA sequences; empirical measure; large deviations principle; linear processes; functional law of the iterated logarithm; strong approximations; LPQD sequences; m-dependent random element; precise asymptotics; the central limit theorem for the sum of random number

基础科学，数学，概率论、数理统计平稳NA序列；经验测度；大偏差原理；线性过程；泛函型重对数律；强逼近； LPQD序列； m-相依随机元；精确渐近性；随机指标中心极限定理

This exhibit in the shape of a pen is includes a large-screen indicator, which faces the video camera. The video-output terminal of the camera is connected to the video-input terminal of the indicator. The indicator constantly transmits its own images to the camera lens. Each time the indicator transmits an image, the image becomes smaller. The input and output signals are repeatedly iterated producing a series of similar, small graphs.

笔形展柜内有一台大屏幕显示器，另有一只摄像头与屏幕水平相对，摄像头的视频输出端与显示器视频端连接，显示其自身的像不断输入摄像机镜头，但每输入一次，图像就缩小一次，即输入与输出信号进行反复迭代，出现一系列逐渐缩小的相似图形。

In the iterating process the spatial derivative is iterated as well.

首次得到了硬热圈水平上的非线性空间阻尼率。

According to the typical configuration of surface ships, dead—reckoning/ Loran C integrated models are presented. An iterated filter algorithm with corelated noise, modified nonlinear Extended Kalman Filter , is deduced.

根据水面舰艇的典型配置，建立了推算艇位／罗兰c组合系统模型，推导了改进的非线性推广卡尔曼滤波——噪声相关的迭代滤波算法。

Landweber method of iterated regularization is effective for large scale ill-posed problems, ut the convergence speed is too slow.

Landweber迭代法是求解大规模的不适定问题的一种有效方法，但其迭代序列收敛速度是相当慢。

In order to speed up the convergence speed, the each one step of the Landwber iteration is discomposed into the matrix computation and solution and a quick iteration scheme is given for the matrix computation. The relevant accelerated algorithm is given too. Numerical example proves that the accelerated algorithm can quicken convergence speed, reduce the calculation burden, and overcome the obstacle of application of Landweber method of iterated regularization.

为了加快Landweber迭代收敛速度，将每一步Landweber迭代分解为矩阵计算和求解，对矩阵计算部分设计了一种快速迭代格式，并给出了相应的加速算法，通过数值实验验证了这种算法能够大大加快收敛速度，有效的减少计算量，解决了Landweber迭代正则化方法在实际应用中的障碍。

The special emphasis is to present an improved version of well-known Morozov discrepancy principle with successful applications to iterated Tikhonov regularization.

特别地，我们对熟知的Morozov偏差原理进行了改进，并将其成功地应用于迭代的Tikhonov正则化方法。

The error growth of numerical method grows linearly with the stage of iterated matrix. A sufficient condition of bounded stability for linear θ-method is proved.

证明了数值方法的计算误差是随着迭代矩阵的级数线性增长的，又进一步给出了线性θ-方法有界稳定的一个充分条件。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。