查询词典 hermite interpolation polynomial

Based on the elliptic curve cryptosystem, a multi-key sharing scheme in which the Lagrange interpolation polynomial is used and the cheaters can be detected is presented.

文章利用拉格朗日插值的思想，提出了一种基于椭圆曲线的可防欺诈的动态多密钥共享方案；方案中每个参与者的子密钥可以不受限制的重复使用，因此在更新主密钥的时候，无需更改参与者的子密钥，从而减少了可信中心与参与者之间的通信量；方案可灵活地增删参与者，且安全性是基于椭圆曲线离散对数问题的难解性，因而其安全性比在有限域上更高；方案实现过程中解决了检验子密钥真伪的问题。

The main results are as follow:(1) Systematically discussed the methods that built up the DEM by the contour line, we put forward new algorithms of auto-adding characteristic points that eliminated the "plane triangle" in constructing TIN and approximating important characteristic points by Lagrange interpolation polynomial.

主要成果有：(1)系统地论述了基于等高线建立DEM的方法，提出新的消除TIN构造中出现"平三角形"的算法——自动增加特征点和利用拉格朗日插值多项式拟合重要地形特征点，并验证算法对TIN结构的优化。

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。

Chapter 4In this chapter,we applied the generalized Laguerre polynomial as the basis functions and introduced the linear combination technique into WBEPM theory.He atom ground-state energy is studied by using double generalized Laguerre polynomial.The result obtained from this method is at the same level with the other theoretical methods.

第四章本章用广义拉盖尔函数作为基函数，将线性组合技术引入到WBEPM理论中，对He原子的基态能量做了双广义拉盖尔函数的研究，得到可与现有理论方法相比照的结果。

Orthogonal polynomials with weight equaling 1 are used to make least square approximation, so morbidity phenomenon in solving equation is avoided and better results can be obtained. Advantages and disadvantages of Legendre polynomial and Gram-Schmidt polynomial are also discussed.

比较了Legendre多项式和Gram-Schmidt正交化构造的多项式在处理时间漂移方面的优缺点，并介绍了通过随机误差的平稳性来检验处理结果优劣。

Then a four-node element formula is given. In order to avoid the inverse of the flexible matrix, Legendre polynomial is adopted in the interpolation. Thus the calculation efficiency is raised.

为了避免单元柔度矩阵的求逆，采用Legendre正交多项式作为插值函数，将求逆运算转变为矩阵的乘法计算，从而提高了计算的效率。

Based on in comparison of all statistical criteria and behavior of estimated parameter the RRM with a fifth-order Legendre polynomial for both fixed effects and additive genetic effects, a seventh-order Legendre polynomial for permanent environment effects is equally well equipped to model all effects, which is the best model among different RRMs.

通过各种统计指标和估计参数行为的比较，确定固定效应和加性遗传效应镶嵌5阶Legendre多项式，永久环境效应镶嵌7阶Legendre多项式的随机回归模型为最优模型。

This are algorithmic need the linear combination that seeks control quantity to express to be disperse Legendre orthogonal polynomial, will beg control to measure problem translate into to beg question of coefficient of disperse Legendre orthogonal polynomial.

该算法把待求控制量表示为离散Legendre正交多项式的线性组合，将求控制量新问题转化为求离散Legendre正交多项式系数新问题。

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。

In this thesis, we apply the equations of motion of steady Mach reflections and the oblique shock theory to derive polynomial expressions of the forms of f(r,Mo,P1) of downstream sonic and strong/weak separating conditions of reflected shocks of perfect-gas steady Mach reflections. We then obtain polynomial expressions of the forms of f(r,M0) for the limiting Mach angle condition of the above two expressions.

本论文首先应用稳态马赫反射流场运动方程式及斜震波关系式，推导出理想气体稳态马赫反射流场之反射震波下游之音速条件与反射震波之强弱分界条件之曲线解公式，并应用该曲线解公式来推导反射震波俱音速性质於Mach angle条件及反射震波俱强弱分界性质於Mach angle条件之公式。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。