查询词典 linear interpolation

Modeling and stability analysis problem of linear switched system are emphasized in this part and main results include:(1) Through investigation in the projection of 〓 on x, where x denotes continuous state vector, a series of sufficient conditions for stability, asymptotic stability and unstability of linear switched system's equilibrium in the sense of Lyapunov are achieved. And also, a sufficient and necessary condition for state bounded stability of linear switched system is received.(2) For a class of periodical linear switched system whose switching sets are a group of ordinal lines starting from the original point, it's proved that state bounded stability can be defined by the running characteristic in a single period (3) Based on linear switched system, the concept of linear switched system network is put forward. Linear switched system network is a complex network interconnected by many linear switched systems.

这部分着重研究线性切换系统的建模与稳定性分析问题，主要成果包括：（1）通过考察〓在x上的投影，得到线性切换系统的平衡点在Lyapunov意义下稳定、渐近稳定及不稳定的一系列充分条件，并得到了线性切换系统状态有界稳定的一个充要条件；（2）证明了对于一类切换集为从原点出发的一组射线的周期线性切换系统，其状态有界稳定可根据一个周期内的系统运行特性来判定；（3）在线性切换系统的基础上提出了线性切换系统网络的概念，线性切换系统网络是由多个线性切换系统交互作用而形成的复杂网络。

In addition, the linear interpolation problem is discussed, midpoint sampling interpolation and double-point sampling interpolation are provided. The convexconcave property of linear error is studied.

另外本文还研究了并联机床的线性插补问题，提出了中点采样插补法和双点采样插补法，文中对采样偏差的凹凸性进行了分析。

Simulation results prove that the performance of the new method is similar with the linear interpolation method at the lower velocity; while it is better than the linear interpolation method at the higher velocity and a little worse than the quadratic polynomial interpolation.

通过仿真表明，在低车速时，该算法的误比特率性与线性插值方法基本相同；而在中高车速时，该算法的误比特率性能要明显优于线性插值信道估计方法，与二次插值信道估计方法的性能基本相同。

Linear interpolation, non-linear interpolation and cubic spline interpolation were used to obtain corrected sinogram image.

然后用线性插值、非线性插值和三次样条插值来对伪影弦图进行处理，得到矫正的弦图。

In this paper ,on one hand ,we establish the weakly asymptotic order of the classical Bernstein interpolation sequence approximate functionin the Wiener space(or 1-fold integrated Wiener space),on the other hand,we discuss the asymptotically order for the average error of Lagrange interpolation sequence, Hermite-Fejer interpolation sequence and Hermite interpolation sequence based on the Chebyshev nodes on the 1-fold integrated Wiener space.

本文一方面确定了经典的Bernstein多项式算子列逼近函数时在Wiener空间(或1-重积分Wiener空间)下的平均误差的弱渐近阶；另一方面确定了基于第一类Chebyshev多项式零点的Lagrange插值算子列、Hermite-Fejer插值算子列和Hermite插值算子列在1-重积分Wiener空间下的平均误差的弱渐近阶。

The interpolation algorithm of introduced error compensation for complex parametric curve in space is proposed for the high precision interpolation of parametric curve on the basis of studying the first, second order taylor expression parametric curve interpolation algorithm and the plane parametric curves interpolation algorithm.

以一、二阶泰勒展开式参数曲线插补算法和平面参数曲线插补算法研究为基础，提出引入误差补偿值的复杂空间参数曲线高精度插补算法以实现空间曲线的高精度插补。

Lagrange interpolation focus on the application of the formula .The comparison between the method of Transform and that of Lagrange's interpolation formula in square matrix form is made. Also the form of Lagrange's interpolation formula is generalized to include the double root case.The application of the generalized lagrange's interpolation formula in square matrix to solving state equations is found to be effective.

重点介绍了Lagrange插值公式在状态方程求解中的应用，用对角矩阵及相似矩阵的性质证明了，当状态转移矩阵中方阵的特征根相异时，拉格朗日插值公式与Laplace变换法对表达具有一致性，并用极限方法对方阵含二重根时拉格朗日插值公式的应用进行了推导。

Osculatory Rational interpolation is similar to the polynomial Hermite interpolation, and for binary Osculatory rational interpolation, Similar to polynomial interpolation formulas haven't appeared from now on.

切触有理插值是类似于多项式插值中的Hermite插值的一种插值，而对于二元切触有理插值，目前还没有构造出类多项式的插值公式。

The relevant interpolation algorithms include Lagrange interpolation formula, Newton polynomial interpolation, Hermite's interpolation, cubic spline; the relevant fitting algorithms include least square method, Chebyshev multinomial fitting algorithms and so on.

主要的拟合算法有最小二乘法、切比雪夫多项式拟合算法。

Regionalize by clustering helps improve the prognostic precision of different interpolation method. Concerning complanate hypsography such as plain and hill, the interpolation errors of accumulated temperature don"t have obvious change trends and regularity when the number of meteorological stations increase. Namely, increasing station density can"t effectively ameliorate interpolation error. In the regions where terrain is complex the interpolation errors present degressive trend with the increasing number of meteorological stations.

在平原，低山丘陵等地势平坦的地区误差对站点密度增加的响应不具有明显趋势和规律性，即站点密度的增加对插值误差的改善没有明显效果；在地形复杂，地势起伏大的地区误差随站点密度的增加在一定范围内呈大幅度下降趋势，即插值站点数的变化对插值结果有较显著的影响。

They expected to find that one spouse's depression weighed too much on the marriage, but "just mattering to someone else can help alleviate symptoms of depression," Frech said.

弗里奇说，他们本以为会发现配偶中一方的抑郁状态会对婚姻造成破坏性影响，结果却发现&对别人来说'我'很重要，这一事实就足以减轻抑郁的症状。&

Terrestrial ferns of forest margin or open ground; pantropical.

生长于森林边缘或空旷地带的陆地蕨类植物；分布于整个热带地区。