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By using the decomposability of graph, high-dimensional problem can be decomposed into some low-dimensional problems, and then we can analyze the independence relation, time sequence relation and causal relation among random variables by means of visual structure of graph.

利用图的可分解性,可将高维问题分解成低维问题,并借助图的直观结构对随机变量间复杂的独立性关系、时序关系或因果关系进行分析。

The result can be widely applied to many aspects of product design systems,such as parametric design by geometric reason-ing,decomposition of complex design tasks and dependency analysis of design parameters.

该方法在产品设计中有广泛的应用,利用这个模型和算法可较好地解决参数化设计中的几何推理问题,还可用作概念设计的工具,用于完成复杂系统设计任务的划分及定序、设计变量之间相互依赖关系分析等工作。

The main work of this thesis can be summarized as the following: The uniform integrability and absolute continuity for a family of fuzzy variables are defined and their links are also considered.

本文的主要工作可概括为以下三方面:(1)定义模糊变量序列的一致可积和绝对连续,并讨论它们之间的关系。

This thesis firstly defines the uniform integrability and absolute continuity of fuzzy variables, discusses their relationships, and provides an approach to checking the uniform integrability of fuzzy variables.

本文首先定义模糊变量序列的一致可积和绝对连续,讨论它们之间的关系并且给出判别一致可积的方法。

First, the anthor gives a new algorithm of monad distribution function. Under given level, this distribution function can pass Kolmogorov criterion, thus it can approximate samples real distribution function.

首先给出了构造一维随机变量的分布函数的方法:用这种方法构造的分布函数在给定的水平下可通过柯尔莫哥洛夫检验,从而可很好的逼近母体之真实分布函数。

The nonlinearity and discrete gradient inherited in CAViaR model is a conundrum for parameter estimation. We take the asymmetric Laplace distribution with scale parameter as the error process; indicate the variance has a minimum positive value when the scale parameter is a constant, conflicting with the distribution of real financial data. Further we estimate the parameters of indirect TARCH-CAViaR model base on Bayesian framework and Markov chain Monte Carlo method. The optimal scale parameter can also be obtained by Markov chain Monte Carlo method.

CAViaR一般模型中递归分位回归方程的非线性和非连续可微性是参数估计的一个难题,基于含有尺度参数的不对称拉普拉斯分布作为误差过程,指出将尺度参数固定为常数会导致不对称拉普拉斯分布随机变量的方差存在最小正值的限制,与实际金融数据分布不符;进而提出采用贝叶斯分析和马尔科夫链蒙特卡罗模拟方法,估计间接TARCH-CAViaR模型的参数,并可获得尺度参数的合理估计。

Using additional variable, a common dynamic reliability system is described by generalized semi-Markov process , and then the second Fred. Holm linear integral equation of lifetime process is obtained.

利用补充变量方法把一般的可靠性系统推广为广义半马尔可夫系统;利用广义半马尔可夫系统的积分模型,建立了描述一般可靠性系统寿命过程的第二类Fred。

This article founds synthetic indicator systems for sustainable development, which cover the economic system, the social system and the system of resources environments and include 33 variables. In this article two kinds of objective weight method: principal components analytic method and entropy value method have carried on assessment of indicator systems for sustainable development.

本文建立了涵盖经济、社会、资源环境三大系统包括33个变量指标的可持续发展综合评价指标体系,用主成分分析法和熵值法两种客观赋权法进行了各系统可持续发展能力变动趋势的测度。

In this paper, pressure is used for a primary dependent variable and SIMPLE algorithm is used to simulate the 3-dimensional turbulent flow. In order to advance SIMPLE algorithm to compressible flow, retarded density is utilized.

本文采用SIMPLE方法,以压力为基本求解变量对三维可压缩湍流流场进行数值求解,并采用密度延迟修正将SIMPLE算法扩展到可压缩流动的计算。

The revised simplex method is used at first to calculate the optimal line extensions without integer constraints of the variables so that it can be determined which lines should be constructed.

第一步不考虑变量的整数约束,用修正单纯形法求解,由此可确定一部分线路是否需要建设。第二步在缩小的可选线路范围内进行整数规划计算,从而快速形成电网发展方案。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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