乘法

Romberg first use of the method is integral for integration, Then the results obtained by using the interpolation method were obtained Lagrange polynomial interpolation polynomial interpolation and Newton, re-use of least squares fitting of thinking obtained polynomial, the last of these different types of polynomial, identify their respective strengths and weaknesses.

首先运用Romberg积分方法对给出定积分进行积分，然后对得到的结果用插值方法，分别求出Lagrange插值多项式和Newton插值多项式，再运用最小二乘法的思想求出拟合多项式，最后对这些不同类型多项式进行比较，找出它们各自的优劣。

It first uses the integrating method of Romberg , which is an improved trapezoidal integration, to solve the given definite integral,then we create Lagrange's interpolation polynomial and Newton's interpolation polynomial.

首先运用Romberg积分方法对给出定积分进行积分，然后对得到的结果用插值方法，分别求出Lagrange插值多项式和Newton插值多项式，再运用最小二乘法的思想求出拟合多项式，最后对这些不同类型多项式进行比较，找出它们各自的优劣。

Meanwhile,by analyzing the calculation results of NL Method,and using Least Squares Method or Lagrange's Interpolation Polynomial Curves to simulate the relationship between horizontal force and deformation of both Steel-pile Cluster and Rubber Fender separately,the energy allocation rate of Steel-pile Cluster and Rubber Fender can be determined.

采用NL法来计算桩身内力和变形，同时，对NL法计算出的多个结果进行分析，并采用最小二乘法或Lagrange插值多项式曲线分别模拟钢簇桩和橡胶护舷承受的水平力和相应的变形之间的关系来求解钢簇桩和橡胶护舷能量分配比例。

In practice, fast adders such as CLA adder is always used in the last stage of CSA array multiplier to increase its speed.

在实际电路中，为了提高乘法的速度，CSA（Carry-SaveAdder）阵列乘法器的最后一级常采用CLA加法器等快速加法器。

In this paper, the least squares approximation method is introduced to predict the trend line of carrier movement. Then the yarn paths are analyzed systematically. Finally, the three kinds of unit cell, the interior cell, the surface cell and the corner cell, are established.

采用最小二乘法分段对携纱器的相关运动位置点进行拟合，得到编织过程中纱线的空间运动规律，在此基础上，获得的预制件结构的单胞模型，包含内部单胞，表面单胞和棱角单胞。

Identification ; parameter estimation ; least squares method ; approximation ; adaptive lilter/kalman filtering

辨识；参数估计；最小二乘法；逼近；自适应滤波器/卡尔曼滤渡

For this purpose, the compactly supported radial basis function and the moving least squares approximation based ones are integrated into the aforementioned two global optimizers. As a result, two novel hybrid algorithms are introduced.

其次，为解决电磁场逆问题分析、计算中由于随机类优化算法需进行数以千计次电磁场的数值分析，以致计算时间和计算量难以满足工程分析实际要求的难题，本文将表面响应模型法引入电磁场逆问题的求解，研究了基于紧支径向基函数和基于移动最小二乘法的两种表面响应模型，并将其分别与改进的遗传算法和粒子群算法相结合，提出两种不同的混合快速全局优化算法。

The first one is integrated by the least squares and the radical basis function interpolation, which is aimed to the slight nonlinear sensors, and under the limited increament of computation, it can make the results more precise. The second is used for serious nonlinearity and based on the moving least squares which converts the approximation generally into locally, and the result of this way is also satisfied.

对于不是特别严重的非线性，采用最小二乘拟合与径向基函数残差插值进行融合重构，可以在增加有限计算量条件下提高数据的近似精度；对于非线性较严重的传感器，为兼顾局部特性，采用移动最小二乘法进行数据重构，它通过全局近似向局部近似的转化，同样使重构结果具有满意的近似精度。

Combining the modified variational principle functional with the Moving Least Squares approximation, the HBNM involves three types of independent variables, i.

杂交边界点法将修正变分原理与移动最小二乘法结合起来，涉及三类独立的场变量。

At first, we list some preparation knowledge which is a necessary tool, such as matrix analysis, the theory of orthogonal matrix and project matrix, the least squares estimator.

文章首先列举了一些需要用到的相关预备知识，主要有矩阵分析，正交阵和投影阵，参数估计的最小二乘法等，这些研究线性模型的参数估计问题中必不可少的工具。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。