查询词典 continuous approximation

Element-free Galerkin Method is a effective method for solving partial differential equations with the help of shape functions coming from moving least squares approximation. It is well-suited to problems involving large deformation and crack propagation etc on which Finite Element Method can not be used easily. But EFGM is computationally expensive and it is hard to impose the essential boundary condition. Coupling the EFGM and FEM can fetch up the defect of EFGM and improve the efficiency highly.

无网格伽辽金法是基于移动最小二乘法的一种用来求解偏微分方程非常有效的方法，在处理诸如高度大变形、裂纹动态扩展等有限元法较难解决的问题时有其独特的优势，但是存在处理边界条件复杂，计算量大的不足，将无网格法同有限元耦合可以解决这些缺点，极大的提高计算效率。

The new IRS algorithm has greatly improved the approximation performance of the original reduced set method by embedding a new distance metric called image Euclidean distance into the kernel function.

其中，所谓IRS算法是指在精简集算法的核函数中嵌入一种新的距离度量——图像欧式距离——来改善其迭代近似性能，IRS可以有效地生成新的、位于类别边界附近的虚拟样本以增强给定训练集。

On the basis of the previous studies on sound field separation techniques and based on the Euler formula and the finite difference approximation technique, a new theoretical formula of NAH using pressure and particle velocity measurements is given, and then an experiment is performed to validate the method.

随后通过实验检验了该方法在有背景源干扰情况下实现声场分离和重建的有效性。

In this paper the event tree is used in the analysis on cascading failures and by use of probability approximation theory of rare event the probability order of multiple failures is divided, thus the screening process of multiple failures can be simplified.

文章采用事件树对连锁故障的分析方法，运用小概率事件的概率近似理论对多重故障进行概率阶次划分，可以简化多重故障的筛选过程。

Thirdly, on the base of the existent error estimate of elliptical Galerkin projection operator, obtain semi-discrete and complete-discrete error estimates betwent EFG solution and exact solution of parabolic partial differential equation. Semi-discrete error estimate show that the rank of r is accordance with the approximation rank of subspace S_h. Complete-discrete error estimates show that it not only have relation with radius r of domain of influence, but also have relation with the step length of time variable and the way of discrete.Lastly, give typical examples and draw up procedures of MATLAB.

再次，在"椭圆Galerkin投影"算子的误差估计的基础上，对用EFG法解抛物型偏微分方程的EFG解与精确解之间作了半离散和全离散的误差估计，半离散的误差估计表明所给出的误差界限关于r的阶是与子空间S_h的逼近阶相一致的，全离散的误差估计表明所产生的误差不但与影响域半径r有关，而且与离散时间变量的步长τ及其离散方式有关。

Although this may seem a paradox, all exact science is dominated by the idea of approximation.

虽然这似乎是一个悖论，但所有的精确科学都是由近似的概念支配的。

The post-condition may say that the result returned by the routine is the approximation, within a specified precision, of the exact mathematical square root of the routine.

后置条件则可以这样表述：例程返回在数学上指定的精度内最接近的平方根。

In soft-photon approximation, the average excitation energy only appears in the first and second order terms of field frequency.

在软光子近似下，平均激发能仅出现在光场频率的一阶和二阶项上。

It provides a way to find optimal lower dimensional approximations of the given data, and It enormously reduce the storage of the data which is needed when the physical processes is recurred. The physical process can be described in series expansion function that only is related to the time and space. It is optimal approximation of the given data in a certain least squares optimal sense. The most obvious advantage of the method is that it reduces the computation cost and computation time markedly.

它提供了一种描绘物理过程的有效方法，该物理过程可以写成一个只与时间相关的函数和一个只与空间相关的函数的展开式序列，且它们在均方意义上是最优的，在展开式中只需要少量的项数就可较准确地描述该物理过程，因此降低计算维数、减少计算量和节省计算时间是这个方法最明显的优点。

So, the saturation results of some operators including Baskakov operator can be obtained easily, hence laying a basis for studying the approximation transformation theoremof the mixed exponential type integral operators, and presenting a new method for studying the saturation problems.

这样，包含Baskakov型在内的相关积分算子的饱和结果便可以很容易得到，为研究混合指数型积分算子的逼近转化定理奠定了基础，也为研究算子的饱和问题提供了新的方法。

Don not attempt to do something which you can not to do.

不要企图做那些办不到的事情。

The expression of CTGF and TNF-αweredetected by immunochemistry and the number of Clara Cells was calculated.

光镜下观察肺组织的病理变化，采用免疫组化染色观察肺组织中结缔组织生长因子和肿瘤坏死因子-α的表达和Clara细胞的数量。