多项式

There are substantial relation between the interpolation and approximation of functions.The interpolation polynomial is regarded as the important tool of achieving approximation of function.

函数插值与函数逼近有着密切的联系，插值多项式可看作实现函数逼近的一种重要工具。

The multiplicative noisy polynomial interpolation has important applications in cryptography and coding theory.

乘法噪声多项式插值问题在密码理论和编码理论研究中有着重要的应用。

The interpolation polynomial is applied in curve fitting for easy calculation and analysis and better representation of CT10%error curve.

采用多项式拟合曲线，可以发挥其便于计算和分析的优点，能够更好地反映电流互感器10%误差特性，使用方便。

In order to reducing measured errors, it is needed that the measurement system must be positioned marginally in sub-pixel level. Traditional moment methods were scarcity. In this paper, we bring forward polynomial interpolation to realize position for the object.

为了减小测量的误差，需要对被检测物进行亚像素级别的边缘定位，传统的矩方法有很大的不足，本文提出多项式插值法实现对检测物的边缘定位。

The polynomial interpolation method is used to coordinate motion relationship between two sets of steel strands.

通过多项式插值协调两组提升钢绞线的运动关系，模拟两组钢绞线均衡平稳地提升大桥主拱并竖转到指定位置。

CT ; 10% error curve ; least square ; interpolation polynomial ; curve fitting

电流互感器； 10%误差曲线；最小二乘法；插值多项式；曲线拟合

The number of intersection points of l : ax + by + c = 0 and the centroid curve L :{(x|ˉ,| h ∈∑} gives the number of zeros of I.

在第四章中，考虑到系统在二次多项式扰动下的几何意义：若I=∫ integral from n=intrdxdy，那么直线l：ax+by+c=0与质心曲线L∶{

Entangled state ; muliti-qubit ; canonical form ; LU polynomial invariant ; SLOCC classification ; measure of entanglement

纠缠态；多量子比特；正则形式； LU多项式不变量；随机LOCC分类；纠缠度

Establish integrated invertibility theory over it: By R〓R〓 transformation method, we solve the problem of deciding weakly invertibility and finding weak inverse, By founding the bijections between all quadratic form automata and input memory linear finite automata, we find a algorithm to produce all weak inverse quadratic form finite automata.

本文着眼于这些最基本问题，将有限域上的二次型和置换多项式理论引入有限自动机可逆性的研究，构造了一类由二次型构成的非线性有限自动机（3.6定义），称之为二次型有限自动机，我们在其上面建立了与线性有限自动机可逆性理论相对应的完整的可逆性理论：采用线性R〓R〓变换方法，解决了此类有限自动机的弱可逆性判定、求弱逆问题（3.10、3.12定理）、通过建立全体二次型有限自动机与全体输入存储线性有限自动机之间的保持弱逆性的一一对应，给出了产生全部可逆二次型有限自动机的方法。

To solve the inverse function of polynomial is a fundamental problem in CAGD.

求解多项式反函数是CAGD中的一个基本问题。

I can not make it blossom and suits me

我不能让树为我开花

When temperatures are above approximately 80 °C discolouration of the raceways or rolling elements is a frequent feature.

当温度高于 80 °C 左右时，滚道或滚动元件褪色是很常见的特征。