查询词典 hermite interpolation polynomial

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。

Firstly, the function sinx that appears in the simple pendulum equation is replaced with a polynomial of degree 3 using Maclaurin series expansion and Chebyshev polynomial approximation. Subsequently, the resulting equation which is a Duffing type equation is approximately solved with combing Newton's method and the harmonic balance method.

首先，利用Maclaurin展开和Chebyshev多项式加速技术将单摆振动方程中的正弦型恢复力用三次多项式近似代替，得到一个Duffing型方程；然后，将牛顿法与谐波平衡法结合起来建立Duffing方程的解析逼近周期及周期解，从而给出单摆振动的解析逼近解。

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。

Finally, we present an efficient algorithm for computing the minimal polynomial of a polynomial matrix. It determines the coefficient polynomials term by term from lower to higher degree.

最后，我们给出了一种计算多项式矩阵最小多项式或特征多项式的有效算法，它从低次项到高次项逐项确定最小多项式的系数多项式。

Considering that our algorithm also released the restrictions added on the input matrix in CHTB method and it is of lower computational complexity comparing with CHACM method, our algorithm is one of the good candidates for the computation of the minimal polynomial of a polynomial matrix.

本文提出的算法具有这样的优点：既去掉了CHTB方法的限制条件，又具有比CHACM方法更低的计算复杂性。

The Enneper's minimal surface is the unique cubic parametric polynomial minimal surface one can find and one can not find any high order polynomial minimal surface in the differential Geometry literatures.

极小曲面被广泛应用于建筑设计，飞机轮船制造业，在结构化学，材料科学，植物学，动物学等领域被用作各种模型，在这些应用领域已有很多文献出现，但是，在CAGD领域几乎还没有关于极小曲面造型方面的工作。

Sign pattern A is a SAP if every monic real polynomial of degree n can be achieved as the characteristic polynomial of a matrix with sign pattern A.

若给定任意一个n次首一实系数多项式f，都存在一个实矩阵B∈Q，使得B的特征多项式为f，则称A为谱任意符号模式。

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。