查询词典 cauchy kernel

Based on summarizing and analyzing predecessor' works, by means of the principle for probability and statistics, the Cauchy distribution for converting rate of polymer micro core is proposed, and the expressions of ultimate converting rate and average molecule weight is derived in the process for establishing first-principle model of polyacrylonitrile.

以化工聚合反应过程为研究背景，在总结各类模型技术特点的基础上，针对聚合过程的复杂性、时变性、非线性和不确定性等性质，提出了一种通用的化工聚合反应过程多类型混联混合模型的建模方法。

Based on predecessors'work, and the plant data of total conversion rate and number-averaged molecular mass, the Cauchy distribution of micro cores is proposed in terms of the principle of probability and statistics. The macro kinetic model with expressions of the total conversion rate and number-average molecule mass is derived from the macro mixed method.

在总结分析前人成果的基础上，利用生产现场采集的转化率与平均分子量的人工分析值，基于概率统计原理提出了丙烯腈连续水相聚合过程中聚合体微团转化速率的Cauchy分布，并由此用宏观混合法导出了由总转化率和平均分子量的表达式组成的动力学模型。

Digital speckle correlation method is adopted to measure parameters ofMooney-Rivlin model of rubber in the simple tension experiment. The globaldeformation of tire, distribution of equivalent Cauchy stress and distributionof normal contact forces between tire and ground are analyzed.

应用数字散斑相关法和单向拉伸实验测定了胶料的Mooney-Rivlin本构参数；分析了轮胎的整体变形、接地法向力分布和等效Cauchy应力分布。

A new non-linear quadratic programming Bayesian prestack three-terms inversion method is developed; Firstly, this method is based on Bayesian parameter estimation theory, Gaussian distribution is used for likelihood function and modified Cauchy distribution is used for prior distribution; Secondly, covariance matrix is used to describe the degree of correlation between the parameters; rock physics relations are used to constrain the inversion results; at last, this method is transformed into non-linear quadratic programming problem, and inversion results are acquired under several constraints.

本文提出了一种基于非线性二次规划的叠前三参数反演方法。首先基于贝叶斯参数估计理论，假设似然函数服从高斯分布，并使待反演的参数服从于改进的Cauchy分布，从而提高了反演结果的分辨率；其次用协方差矩阵来描述参数间的相关程度，进一步提高了反演结果的稳定性；最后将问题转化为一个非线性二次规划的求解问题，并在多种约束下得到问题的解。

The membership function can exactly express the fuzzy satisfaction set by considering the vagueness of satisfaction degree of objectives and introducing the membership function for the fuzzy satisfaction sets of system reliability and system cost. The normal distribution and Cauchy distribution of this membership function is modified according to the fuzzy satisfaction sets. By doing this, the multi-objective optimization problem can be converted to a single-objective optimization problem to be solved.

模型充分考虑到目标满意度的模糊性，通过引入系统可靠度与费用的模糊满意集的隶属函数，并根据它们的模糊满意集对其正态分布、柯西分布进行适当修改，使之能够准确表达通常情况下的这两个目标的模糊满意集，最终，把两目标优化问题转化为常规单目标优化问题求解。

Based on the assumption that the distribution of DCT coefficients in H.264 encoder follows Cauchy distribution, a macroblock layer bit rate model was derived. Then, the distortion was predicted by a linear model using the actual distortion and the quantization parameters of the previous frame.

首先，基于H.264编码器中DCT系数服从Cauchy分布的假设推导得出H.264宏块层的码率模型；并采用线性模型利用前一帧已知的失真度和量化参数值对失真度进行预测；最后，在宏块层通过Lagrange方法最小化失真度，确定宏块的量化参数。

The causes of shield tunnel defections could be divided into six branches: the segment dislocations, lining material deterioration and seepage. etc. Fault trees are also founded to illustrate each branch. 23 quantitative elements from the fault trees are selected to serve as the diagnosis indexes, all of which could be applied in engineering practice. By using the AHP method, a 3-level diagnosis index system is established. Afterwards, the procedure of setting up the quantitative judging criteria is given, as well as the relative index weight of index layer, by using the improved Analytic Hierarchy Process-multiplication scale method. At last, the values of corresponding parameters of membership functions are set, with the Cauchy distribution model.

将盾构隧道常见病害成因分为管片错位、衬砌材质劣化以及渗漏水等6个子系，对每个子系构建了病害故障树；从工程应用角度出发，从故障树中选取了23个可定量化因素作为评价指标，通过层次分析法建立了三层病害评价指标体系；对体系中单一评价指标的定量化分级方法进行简述，并给出所有指标的建议分级标准，采用改进的层次分析法－乘积标度法确定了各评判指标之间的相对权重；确定了基于Cauchy分布模型的隶属函数的关键参数。

Only in cauchy distribution are expected value and variance non-exist. By sas programming with SQL and MACRO we solve the fit of frequency distributions of data with these distributions. Meanwhile good-of-fit test is actualized so that the bound of parameters of distribution function is dwindling until the desired accuracy is arrived. The process is executed by the circle of macro.

利用SAS的SQL和MACRO等语句编写了大量的程序，以拟合优度检验结果为标准，不断地变换八种分布的参数变化范围，通过宏程序的不断循环，逐步缩小参数的范围，最后达到预先设定的标准，从而可以发现八种分布中哪几种分布能比较好地拟合给定的实际频数资料，我们再根据拟合优度检验的结果判断出哪种分布拟合实际频数资料最好，最终获得该频数资料的最佳的理论分布函数形式。

In this paper,taking Cauchy inequality for example,we discussed some problems on inequalities teaching in middle schools.

以经典的柯西不等式为例，从不等式的证明、推广以及它们的一些应用，对在中学数学教学中的一些问题进行讨论

Cauchy—inequality is an extremely important inequality. Ingeniously applies it or its promoted type nimbly, may cause some more difficult problem to be easily solved.

摘要柯西不等式是一个非常重要的不等式，灵活巧妙地应用它以及它的推广式，可以使一些较为困难的问题迎刃而解。

Pradeep Indulkar, a senior official at the Maharashtra state Home Ministry say 101 human were killed and 287 injured.

马哈拉施特拉邦内政部高级官员Pradeep Indulkar称，有101人在冲突中丧生，287人受伤。

Mark Frei, a senior vice president of West, says 80% of West's homeagents have some college education, compared with 30% of those whowork in office-based call centers.

Frei说，该公司80%在家办公的人员都拥有本科学位，而在公司电话中心工作的人中只有30%拥有本科学位。