查询词典 hermite interpolation polynomial

Since an analytic function can be arbitrary approximated by a polynomial, the provided methods can be applied to robust stability analysis of polynomial family with general non-linear perturbation parameters.

由于非线性解析函数可用多项式任意逼近，故该方法也可用于具有一般非线性参数摄动的多项式族的鲁棒稳定性分析。

Also the constructed curve is a shape-preserving curve for the original curve. We can also adjust the shape of curves by parameters of trigonometric uniform polynomial curve to approach the polygon closer. The general trigonometric polynomial curves with m degree and C(superscript 2m-1)(m=1, 2, 3) continuity are further presented.

除了通过切点参数，还可以通过三角均匀多项式曲线参数来调整曲线形状，使所得曲线更加逼近多边形，并可进一步、类似地可构造与给定多边形相切的C(上标 2m-1)(m=1， 2， 3)连续的m次三角多项式曲线。

We choose the TMS320VC5402, digital signal processor, as the computing unit, filtering the sampled signal, truncating the harmonic whose frequence greater than 2500hz, then we use the window-interpolation FFT algorithm to get the refined frequence, amplitude, phase of harmonic in sampled voltage and current, other parameter such as harmonic ratio, active power, reactive power, power factor, three-phase unbalance can be also computed base one the result of window-interpolation FFT.

选用TMS320VC5402高速数字信号处理器作为运算单元，先对采样信号进行数字滤波，去除50次以上谐波分量，然后应用加窗双峰插值FFT算法计算电压电流的各次谐波频率、幅值和相位，以及谐波含有率、有功功率、无功功率、三相不平衡度等各项电能指标，同时利用锁相环电路硬件跟踪电网频率以减小采样失步度。

The problem of interpolation by a special kind of polynomial curves-Pythagorean hodograph curves in computer graphics is studied in this paper.

对计算机图形中一类特殊的多项式曲线？？ Pythagorean hodograph曲线的 C1 Herm ite插值问题进行研究。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

The benefit of this method is its mathematical simplicity and its consequent ease in programming. Secondly, it brings out a new 3D interpolation method—hypersurface spline method, this method extends the surface spline method of 2D interpolation into 3D space.

其次，提出了一种基于超曲面样条函数进行三维空间插值的新的三维空间插值方法，该方法将二维的曲面样条函数插值法进一步拓展到三维空间。

To compensate for the incomplete projection data, polynomial interpolation method is proposed to deduce more projection data from the available ones. Furthermore ,with the Chapman model assumption of electron density distribution, a method to expand the view angle and evalute the projection data under low elevation angle is presented.

本文提出了用多项式插值的方法增加接收站观测数据，并根据对电离层垂直方向Chapman模型的假设，提出了扩展投影角度的方法，以估算观测中无法得到的低仰角投影数据。

First, mathematical foundation of synchronization, i.e. the theory of parameter estimation is introduced. Then, DA/DD or NDA timing synchronization methods based on the ML estimation of timing parameter are presented. They are all widely applied in actual digital communication systems. Interpolation theory in digital signal processing has application in timing synchronization, which makes the sampling clock independent of the timing control so that timing adjustment is realized completely through digital disposal. The issue of interpolation in timing synchronization is discussed.

首先，介绍了定时同步实现的数学基础，即信号参数估计理论；从定时参数的最大似然估计出发，介绍了基于数据辅助的定时同步方法和基于非数据辅助的定时同步方法，他们在实际的数字通信系统中均有广泛应用；论文探讨了数字信号处理中插值理论在定时同步中的应用，它使得接收端的采样时钟独立于定时控制，定时调整完全通过数字处理方法得以实现。

The error estimation inequation of Wachspress interpolation indicates that the error of Wachspress interpolation decreases with the reduction of polygonal element size.

利用wachspress插值形函数的性质和二元函数的Taylor展开式的向量形式，给出了wachspress插值的误差估计不等式。

This thesis is devoted to singular point quantities and integrability conditions of complex polynomial differential systems with resonant singular point, and center-focus determination and bifurcation of limit cycles of planar polynomial differential systems.

在第二章中，对具p∶-q共振奇点的复自治多项式微分系统引入广义奇点量的概念，它是文[103]中奇点量概念的推广，它以在实平面多项式微分系统的中心焦点判断与极限环分支中有着极为重要意义的焦点量和鞍点量作为特例。

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。