查询词典 hermite interpolation polynomial

On the basic theory, some concepts are proposed, such as partial derivative of waveform polynomial, waveform polynomial vector, delay matrix, multiple valued Boolean process, conditional sensitization, waveform distance with crosstalk and three-dimentional Boolean process. And based on these concepts, a sensitization theorem for sequential circuits and the transition numbers theorems for waveform polynomial are proposed; the model and data structure for the representation and manipulation of waveform polynomial are proposed.

基础理论方面，提出波形多项式偏导、波形多项式向量、延时矩阵、多值Boolean过程、条件可敏化、考虑串绕的波形距离及三维Boolean过程等概念，并在此基础上提出时序电路的敏化定理、波形多项式描述跳变数的定理以及波形多项式的多项式符号表示与运算的模型和数据结构。

To reduce the error between the interpolation function regaining the sampled signal and interpolation function ha by Shannon sampling theorem, this paper suggests that the common linear interpolation is replaced by a second order approximation of the parabolic interpolation.

为减小恢复被采信号所用的内插函数与山农采样定理要求的内插函数ha之间的误差，提出了用抛物线内插--ha的二阶近似代替常规的线性内插。

An S-shape acceleration/deceleration control model is developed by summation progression and the corner of two conjoint lines is adopted as a parametric variable to control the feedrate through the inflexion of two lines. Based on these, interpolation process is divided into two steps: interpolation pretreatment and interpolation point calculation. Feedrate planning is accomplished in the pretreatment step. Interpolation point calculating only depends on the real-time feedrate and the direction vector of the line.

该算法以级数求和的方法推导了S型加减速控制模型，并以小线段夹角为参变量控制拐点通过速度建立了小线段速度衔接模型，在此基础上，算法将插补过程分解为插补预处理及插补点计算两个步骤，预处理中对小线段进行速度规划并设计了线段速度的递推处理方法，插补点仅需根据当前速度及线段方向向量即可求出。

The division with surplus, the comprehensive division and Eisenstein Test applications on polynomial that can not be divided are mainly discussed; the sufficient condition of that polynomial with coefficient being integer has no integer root, that cubic polynomial with coefficient being integer is irreducible in rational domain and that polynomial with coefficient being integer has not two completely same roots are summed up.

主要论述了带余除法、综合除法及不可约多项式艾森斯坦判别法的应用；总结出了整系数多项式的无整数根的充分性，三次整系数多项式在有理数域上不可约的充分性，整系数多项式无重根的充分性。

Thirdly, interpolation equation, polynomial interpolation filter and interpolation control for timing adjustment are studied.

最后针对定时调整算法，研究了插值等式、多项式插值滤波器及插值控制，模拟了插值环路的性能。

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。

As an example to cubic trigonometric polynomial Bézier,the characters of trigonometric polynomial Bézier curve is analyzed,and deduced that cubic trigonometric polynomial Bézier curve is more smooth than cubic polynomial Bézier curve.

Bézier曲线是计算机辅助几何设计中的一类重要曲线，文献[1]介绍了三次Bézier曲线插值，文献[2]介绍了三次Bézier曲线的保凸插值，但难以解决一端曲率为0，另一端曲率比较大的插值问题。

Due to the luck capability in the floating-point operation of PCC, the interpolation method most compatible with the axial-flow adjustable-blade water turbine collaboration can be confirmed, compared with the other collaboration interpolation method. The method is improved on the basis of regular linearity interpolation. It increases the precision of interpolation and rapidity of operation.

2：针对PCC浮点运算能力不够强的特点，通过对比多种协联插值方法，寻找出适合在轴流转桨式水轮机协联运行中运用的插值方法，该方法在常规线性插值的基础上进行了改进，做到了在提高插值精度的同时，又兼顾了一个较快的运算速度。

The simulation is based on four methods, including the discrete ordinates method with donor-cell interpolation, the DOM with van Leer interpolation, the modified DOM with donor-cell interpolation and the modified DOM with van Leer interpolation. The computational results are compared with those obtained by the Monte Carlo method.

本模拟采用四种方法，包括以donor-cell内差的离散方向法，以van Leer内差的离散方向法，以donor-cell内差的修正的离散方向法，以van Leer内差的修正的离散方向法，其计算结果将与蒙地卡罗法所得到的结果作比较。

It's the first time that from the angle of computational mathematics combined with the structure model of parallel machine, the parallel degree of the relevant algorithms in orthopaedics clinic engineering modeling system, such as piecewise cubic Lagrange interpolation formula, piecewise cubic Hermite's interpolation formula, cubic spline, Chebyshev multinomial fitting algorithms, least square method and contour curve multinomial algorithms, were discussed.

论文首次从计算数学的角度并结合并行机的结构模式出发，讨论了在骨科临床工程造型系统中可能涉及的如分段三次拉格郎日插值公式、分段三次埃尔米特插值公式、三次样条函数、切比雪夫多项式拟合算法，最小二乘法以及轮廓曲线多项式求值算法的并行度。

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。