查询词典 interpolation function

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。

Here pis 1 or 2.In chapter 8. we extend the Runge-Kutta methods to variable delay differentialalgebraic system. It is proved that if the Runge-Kutta method which is algebraicallystable and diagonally stable is consistent with order p , the extended Runge-Kuttamethod with Lagrange interpolation procedure is D_A-convergence with order M. HereM=min{p, u + q + 1 }, and u + q is the degree of Lagrange interpolation polynomial.

第八章将求解常微分方程的Runge-Kutta方法改造后用于求解变延迟微分代数系统，并且证明如果代数稳定且对角稳定的Runge-Kutta方法对于常微分方程初值问题在经典意义下是p阶相容的，那么具有Lagrange插值过程的该方法是M阶D_A-收敛的，M=min{p，u+q+1}，u+q为Lagrange插值多项式的次数。

Firstly, several kinds of schemes were proposed according to the design demand. The best scheme was chosen after analyzing and comparing the schemes. The robot's structure was designed with Pro/Engineer and AutoCAD software. Secondly, the kinematics analysis conducted, coordinate transformation matrix using D-H method was set up, and the kinematics equation direct solution and inverse solution was deduced. The manipulative interface about the kinematics equation direct solution and inverse solution was completed with VC++ and the velocity Jacobian of displacement matrix was constructed using differential transform method. In the process of the trajectory planning based on robot's kinematics analysis, I propone a method by which we can get middle nodal point with normalizing factor in order to simplify our searching for these middle nodal points. In addition, I give these middle nodal points with actual physics signification. For eliminating contradiction between real-time and accuracy, I bring forward separately limit of error and reversal interpolation method. For decreasing calculation quantity, we resort to tri-spline interpolation in the articulation space.We analyse the work range of the robot by resorting to graphic means.

首先，作者针对机器人的设计要求提出了多个方案，对其进行分析比较后，选择其中最优的方案后用Pro/Engineer和AutoCAD软件进行了机器人模型结构设计；其次，进行了运动学分析，用D-H方法建立了坐标变换矩阵，推算了运动方程的正、逆解，运用VC++制作了正、逆运动学求解的求解界面；并且用微分变换法推导了速度雅可比矩阵；在基于机器人的运动学的轨迹规划中，通过在操作空间的规划，提出了归一化因子来求解中间结点，通过它可以使求解中间结点变得更简单，并且赋予这些中间结点实际的物理含义，对于规划中精确性和实时性的矛盾，提出了以误差极限法和反向插值法来解决的方法；为了减少规划过程中计算量，在关节空间进行三次样条插值；然后借助图解法进行工作空间分析，作出了实际工作空间的轴剖图。

Test showed that the interpolation in the odd step was concise and quick in operation. The interpolation in the even step was used to improve accuracy. The logarithmic curve could be interpolated in the embedded Computerized Numerical Control system with multi-axis control and the precise grounding of conical milling cutter could be realized.

测试表明，奇数步插补简明快捷，偶数步插补精度提高，在嵌入式数控系统中能进行对数曲线的多轴联动插补控制，实现了锥度铣刀的精密磨削加工控制。

CNC machine only to the general linear and circular interpolation, and other curves (such as becoming more open lines) with mathematical method linear and circular approximation, linear and circular interpolation can be special machine outside the curve.

一般数控机床仅对圆弧和直线插补，其它曲线用数学方法，采用直线和圆弧逼近，特殊机床可插补直线和圆弧外的曲线。

In this paper, local maxima of mutual information are analyzed using linear interpolation and near neighborhood interpolation for different resolution images.

该文利用一维信号从理论上分析了线性和最近邻两种插值方法对互信息的影响。

Also, by contrasting the daily、 mensal and annual precipitation interpolation errorrespectively between SIA and the other methods, we know that the interpolation effect of SIA is better than others, and its accuracy is preferable in the mass.

并且，对用逐步插值法得到的年降水量、月降水量以及日降水量误差分别与用其他方法得到的误差对比可知，总体上看，逐步插值法的插值效果较好，精确度较高。

We gain the distributing instance as a whole by the spatial analyse of the daily、 mensal and annual precipitation.Then, we adopt mean error、 mean absolute error、 mean relative error、 and the root mean squared interpolation error and the correlative coefficient as the determinant standard of interpolation effect. The results show that the mensal precipitation effect of SIA is the best, and the daily precipitation effect is worse reversely.

然后，对年降水量、月降水量以及日降水量的SIA结果采用平均误差、平均绝对误差、平均相对误差、插值平均误差平方和的平方根误差以及相关系数作为判定插值效果的标准，并得到以下结果：月降水量的SIA效果最好，日降水的相对较差。

A sample numerical design method for constant beamwidth beamformer is given. This method is easy to implement and has no restriction on array geometry and sensor patterns; Three methods for the design of broadband frequency invariant beamformer are proposed, which are the method of resampling signals received by the array, the DFT interpolation method and adaptive synthesis method, respectively. Examples and performance analyses are given for each method; A simplified linear constrained minimum variance broadband adaptive algorithm that based on DFT interpolation method is presented. Compared with conventional broadband adaptive algorithms, the presented method can reduce computation work greatly.

提出了一种简单、易于实现的恒定束宽波束形成器设计方法，该方法对阵形和阵元指向性没有任何限制；分别提出了基于阵列接收数据重采样、基于DFT插值和自适应综合的三种具有频率不变波束图的宽带波束形成器设计方法，对于每一种设计方法都给出了一个设计实例并做了性能分析；提出一种基于DFT插值的简化线性约束最小方差宽带自适应阵列算法，该方法可以大大降低自适应阵列的运算量。

In this paper,the method of interpolation for the numerical solution of tridiagonal system of linear equations is popularized,and another method of interpolation for quasi-tridiagonal system of linear equations is proposed.

文章将求解三对角线性方程组数值解的插值法进行推广，得到一种求解拟三对角方程组的插值算法。

As a dominant party,CPC government should play a guardian,supervisee and guarantee role to overcome all the difficulties in the development of charitable cause and bring it into full play in the establishment of harmonious society on policies and regulations basis.

在中国共产党的文献中第一次把发展慈善事业提到&最广泛最充分地调动一切积极因素，不断提高构建社会主义和谐社会的能力&的高度来认识。近年来，社会学界对慈善事业的理论专著发表较多，有鉴于此，笔者不揣浅陋，谈谈自己的认识和见解。

Flow through the land, the land of the scale of operation allows the effectiveness of the land may be raised.

通过土地的流转，土地的规模经营可以让土地的效益得到提升。