查询词典 trace element

We discuss the anisotropic interpolation error estimates of parallelepiped element, of brick element and of hexahedral element, respectively.

将二维类Wilson非协调元推广到三维各向异性Wilson砖元和各向异性类Wilson六面体非协调元。

In most water disposal, it pay attention to pollution, and color and Ultimate oxygen demand. But, some like Hydrargyrum, Cadmium and other minim-element, because of minuteness content, it has difficulty to inspect. But super-scale minim-element has harm to body's health. In an more and more pollution society, to inspect the minim-element is especially importance.

在处理自来水的过程中，大多只注重了水中的污染物，色度和部分有机物，对于水中含有的各种微量元素，例如：汞，镉，锌等，通常由于其含量微小，而对其进行常规监测有一定的难度，但是微量元素超标对人体健康有着极其的危害，在社会污染日趋严重的今天，对微量元素的监测显得格外重要了。

In 1977, Nicholson introduced the concept of clean rings as follows: A ring R is said to be clean ring if every element of R is the sum of an idempotent element and an invertible element.

Nicholson引入了一种新的环类，即所谓的clean环：一个环$R$被称为clean环，如果$R$中的任意一个元素均可以表示成R中一个幂等元和一个单位和的形式。

Firstly, the fully discrete standard finite element Galerkin method and the nonlinear finite element Galerkin method and the modified finite element Galerkin method in which time is discretized by the Euler implicit difference scheme are considered, and the - and - global relative errors and CPU time corresponding to the SG method, the NG method and the MNG method are computed respectively.

首先，对于全离散(时间离散是欧拉显式格式)标准有限元Galerkin方法和非线性有限元Galerkin方法以及修正有限元非线性Galerkin方法，分别进行数值计算，并比较了三种算法的计算解与精确解的误差估计及所耗费的CPU时间，结果验证了MNG方法要优于NG方法，而NG方法又优于SG方法。

The nearly singular integral occurs in the boundary element formulation when a source point is close to the integration element but not on this element.

边界元法中存在几乎奇异积分的计算困难。引起边界单元上几乎奇异积分的因素是源点到其邻近单元的最小距离δ。

In this dissertation, Patran is used as the pre-processing software, the interface routine of the finite element updating program and the current engineering finite element softwares is programed using PCL language, and the finite element model updating is thus accomplished.

本论文使用Patran做前处理，并基于Patran的二次开发，使用PCL语言编写出有限元模型修正程序与现有工程有限元软件的接口程序，完成有限元模型修正。

To make the constant in the interpolation error independent of element size,the ratio of the diameter of the element and the diameter of the biggest ball contained in the element,is uniformly bounded.

传统的有限元方法误差估计需要满足正则性条件或非退化条件，即：单元的直径和单元的最大内切圆直径的比值是一致有界的。

The main contents include: Some preliminary theory (introduction to Sobolev spaces and variational formulations for differential equations); finite element methods for one-dimensional elliptic problems; the construction methods for general finite elements; error estimates for interpolation operators and inverse inequalities for finite element spaces; a priori and a posteriori error estimates for the finite element method for high-dimensional elliptic problems; some typical spectral methods for partial differential equations; error analysis for the spectral approximation for some linear and nonlinear partial differential equations.

主要内容有：准备知识（Sobolev空间的基本概念和主要结果，微分方程的变分描述）；一维椭圆型方程有限元方法；一般有限元的构造；插值算子误差估计和逆不等式；高维椭圆型方程的先验、后验误差估计；求解偏微分方程的几类谱方法；线性与非线性问题谱逼近的误差分析等。

Two special cases are discussed: flow due to a constant pressure gradient and flow due to a periodic one; In chapter 4, on the basis of the method of fractional element proposed by Schiessel et al and of the generalized fractional element networks proposed by Xu and Tan and by the use of discretization method for solving the inverse Laplace transform, we obtain the creep compliance of Zener and Poynting-Thomson models which are composed of the generalized fractional element networks.

并讨论了如下两种特殊情形：常压力梯度下的流动和周期性压力梯度下的流动；第四章在Schiessel等提出的分数阶单元法和徐明瑜等提出的广义分数阶单元网络的基础上，应用离散求逆Laplace变换的方法，给出并讨论了广义分数阶单元网络Zener和Poynting-Thomson模型的蠕变柔量。

In 1999, Nicholson further introduced the concept of strong clean rings as follows: A ring R is said to be strongly clean if every element of R is the sum of an idempotent element and an invertible element that commute with each other.

W.K.Nicholson进一步引入了强clean 环的定义：一个环R 被称为强clean环，如果R中的任意一个元素均可以表示成一个幂等元和一个单位和的形式，并且幂等元和单位可换。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。