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In order to obtain the variation law of temperature during casting solidification to improve casting quality,a finite element method combining with a finite difference method was used to discretize time and space variables in the governing equations of astable heat-conduction in the process of casting solidification so as to obtain the algebraic equations for casting and mold temperature.

为了掌握铸件凝固过程中温度场的变化规律以提高铸件质量,采用有限元和有限差分相结合的方法离散铸件凝固过程非稳态热传导方程的空间和时间变量,得到了关于金属铸件和铸型温度的代数方程。

The active users are determined by users' channel state information and fairness. To obtain closed form solution for power and rate allocation, the algorithm uses the asymptotic Gaussian convergence characteristics of the packet outage probability.

该算法在调度用户时兼顾用户的信道状态信息和公平性,利用误包率严格近似为高斯随机变量的性质得到传输速率和功率的闭式解。

To make our approach to be practical, we also discuss the asymptotic expansion of the operator in chapter 6 which is based on the non-abelian Stokes theorem.

但是由于格点上的算符是path-order变量的乘积,并且其构成非常复杂,按照正常的方式展开实际上是不可能的,为了使我们的算法实际可行,本文接着讨论了格点上算符的渐近展开问题,并且给出了基于non-abelStokes定理的方法,这种方法克服了以前各种办法的缺点,并且简单可行,适用于任意的Wilson算符。

By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved.

通过引进适当的伸长变量,构造边界层函数,得到了解的N阶近似值,并利用微分不等式理论证明了解的渐近展开式的一致有效性。

If we can get, a multiparameter asymptotic expansion of double-quadratic isoparametric finite element errors on coarse grid with respect to independent grid setps , we can get several splitting extrapolation formulas.

只要我们对粗网格上的双二次等参有限元的误差可以证明对独立步长有多变量渐近展开式,我们就能得到分裂外推公式。

Secondly, a asymptotic approximation formula of structurefailure probability is presented in generalized stochastic space with correlatedrandom variables by the asymptotic method of Laplace integral, by which the failureprobability and risk analysis on the chamfered vertical breakwater have been done.

其次,利用Laplace型积分的渐近计算方法,还推导出了广义随机空间相关荷载变量作用下结构失效概率的一个新的渐近计算公式,并依此算法对削角直立堤进行失效概率的计算以及风险评估。

To describe the asymptotic behavior of certain time series or random fields,many ways of modeling the weak dependence have already been work out.

为了描述某些时间序列和随机场的渐近行为,许多作者引入了随机变量的相依性概念,其中最流行的就是混合概念。

In this paper,through construction of an asymptotic solution,We give a necessary condition of the micro local form to local solvability of boundary value problem of pseudo differential equation with two variables.

利用微局部分析的工具,讨论了含两个变量的拟微分方程边值问题的局部可解性;通过构造渐近解的方法,给出了上述问题局部可解的微局部形式的必要条

They also show that the DSUR estimators have asymptotically mixed normal distribution and the tests of parametric restrictions can be constructed by the Wald statistic which is asymptotically distributed as a chi-square variate.

如Mark et al(2005)等提出了似无关动态协整模型的思想及其估计方法,以此来消除解释变量的内生性影响,并获得了一个标准的渐近分布。

An augmented matrix is therefore given, of which the number of dimensions is determined by adding the observed data for l time past together, and the forecast data after augmentation are taken as the input variables in BP neural network. Then, a forecasting model is developed on the basis of DPCA-BP neural network, with its architecture described.

通过计算前l时刻数据确定增广矩阵的维数,并把得到增广后的预测数据作为BP神经网络的输入变量,建立了基于DPCA-BP神经网络的预测模型,给出了模型结构。

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This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

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