理论概率

Based on these, a new numerical method for the Dirichlet problem is proposed in this thesis. This method overcomes the difficulties and limitations resulting from others. It shows that solving problems in analysis by probability theory has a bright future both in theory and practice.

本学位论文，正是注意到了这些现象，提出了一种求解Dirichlet问题的新数值方法，克服了以往使用其它数值方法时常常遇到的困难和局限性，显示了分析数学中的问题借助概率理论来解决有着广阔的前景，在理论上和实际中都有着很好的意义。

Group testing; d—separable matrix;—separable matrix; d—disjunct matrix; error-tolerant matrix; construction of separating matrices; transversal design; probabilistic method; Las Vegas algorithm; line graph; competition number

基础科学，数学，代数、数论、组合理论群试理论； d-可分矩阵矩阵；-可分矩阵； d-分离矩阵；容错矩阵；横向设计；概率方法； Las Vegas算法；线图；竞赛数

Double channel sequence image produced by infrared scene generator and real target sequence image of double channel imager--AGEMA THV900 are detected and fused, and the results are satisfactory. data fusion ; D S evidence theory ; target detection ; infrared image

对于弱小目标，复杂背景、大气传输和自身噪声的干扰，引起传感器量测的不确定性，通过 D- S证据理论对多传感器的证据进行数据融合，能够达到较好的目标检测效果。1 基本概率分配函数、置信函数和似然函数D- S证据理论起源于 Dempster早

In this thesis, combining stochastic theory and Landslide, the author in troduces applications of...

本文从随机理论与滑坡学相交叉的角度，论述了概率理论和方法在斜坡稳定性研究中的应用。

By the minimum risk Bayes decision theory, this paper develops a new way of image segmentation: establish the mathematics model of image segmentation; estimate the probability density of grey scales and figure out its math-expectation and square difference that accord with normal distribution and the loss function; and judge the every pixel dot in the image according to the minimum risk Bayes decision theory and determine whether it is of target or non-target images, thereby realizing the extraction of the target image.

依据最小风险贝叶斯决策理论，提出了一种基于最小风险贝叶斯决策的图像分割方法。首先建立图像分割的最小风险贝叶斯决策模型，对灰度级类条件概率密度估计出其符合正态分布的数学期望和方差以及损失函数，再依据最小风险贝叶斯决策理论对图像中的每一像素点进行目标图像和非目标图像的类别判断，从而实现目标图像的提取。

Firstly, Dempster-Shafer is developed by not only considering the certainty of the evidence, but also considering the average support of the evidence to different subsets in the assignment framework so that it can give more reliable combination result. Secondly, amplitude ratio feature and Euclid distance of the probability density distribution function in Pearson graph from different temporal SAR images are extracted to present change feathers in different scales. Finally, the improved Dempster-Shafer algorithm is applied to fuse the two different features to detect change information of SAR images.

首先通过综合考虑证据本身的确信度和证据对辨别框架中子集的平均支持度进行证据间的加权合成，改进证据理论对证据的合成，提高其可靠性；然后提取不同时相图像间的散射幅度的对比度和概率密度分布函数在皮尔逊图中的欧式距离，两种特征参数代表了像元级和区域级不同空间尺度下微波遥感图像中关于地表变化的信息；最后将改进的证据理论用于两特征之间的融合处理，得到地表的变化信息。

In the fourth chapter, theoretical analysis was performed by using the stochastic oscillation theory, the stochastic averaging equation and the FPK equation were deduced and some simulation results about the stationary probability density function of such system were given.

第四章利用随机振动理论，对系统进行了一些理论分析，推导了此类系统的随机平均方程与FPK方程，并初步给出了一些关于系统响应的平稳概率密度的模拟结果。

I present cluster schema for combinatorial problem with clustering, design a new crossover operator cluster crossover, study the survival probability of c-schema under c-crossover, apply it successfully to graph coloring, load balancing and maximum spanning tree problems: give measurements of diversity in GA, set up varying crossover probability algorithms to maintain diversity, obtain good results when apply it in avoiding premature convergence and multi-modal functions optimization; establish GAC to be suitable for non stationary function, it can explore the change of environment and find the best solution even for some"anomalous"function.

针对聚类组合优化问题提出了聚类模式，设计了一种新的交换操作：聚类交换并研究了聚类模式在聚类交换操作下的生存可能性，成功的将聚类交换思想和算子应用于图着色、负载平衡和最大生成树问题，佐证了类理论，表明类理论可以指导新的应用算法设计；给出了GA中多样性的度量标准和维护多样性的动态交换概率算法，用于避免过早收敛和多峰函数优化，取得了较好的结果；构造了维持种群多样性以适应动态环境的方法GAC，在某些现有方法无能为力的问题上，GAC能够探测到环境变化，找到当前最优解。

Lab experiments were conducted in a wind-wave flume to measure the wave steepness distribution.

1999导出的理论分布在零波陡处概率密度不为零的理论缺陷。

Axiomatic developments of utility theory and subjective probability, and elements of Bayesian theory.

效用理论和主观概率的发展，贝叶斯理论基础。密歇根大学贝叶斯决策分析、贝叶斯推断。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。