多项式

First, orthogonal circle operator was modeled in terms of Zernike orthogonal complex moment; the one-to-one mapping between the edge point and the parameters of the circle was established by the algorithm. Then, quadratic polynomial interpolation was adopted to further locate the edge points in the gradient direction.

首先根据Zernike正交复数矩建立圆物体边缘点与边缘参数之间的映射关系，并提取边缘点；然后利用二次多项式插值在梯度方向上对提取出的边缘点进行进一步定位；最后利用最小二乘法拟合插值后的边缘点，得到亚像素精度的圆参数。

GPS ; broadcast ephemeris ; satellite coordinates ; orthogonal polynomial ; curve-fitting

GPS ；广播星历；卫星坐标；正交多项式；拟合

When these coefficients are quadratic functions of the porosity, specific constituent orthogonal weighting coefficients are derived from these orthogonal conditions along with a discussion about how to extend the applicable range of the constituent orthogonal weighting coefficients in the orthogonal coordinates. Based on the combination of the theory of critical porosity and the constituent model, it presents a specific example of the constituent model that includes two transforming points. The reasonability of above-mentioned theories is shown by comparison of theoretical calculations and measured data on effective elastic moduli of clean sandstone or sandstone analogs saturated with pure water.

再次，结合弹性模量组分关系方程与正交基函数理论，推导组分加权系数的正交条件；基于正交条件，提出组分加权系数为孔隙度二次多项式时正交组分加权系数的构造方法以及正交组分加权系数适用范围的拓展方法；结合临界孔隙度理论，提出一个基于两个状态分界点的组分模型实例；比较组分模型的计算结果与前人关于砂岩弹性模量的实验结果，证明了组分孔隙介质模型理论的合理性。

To avoid the present of pseudo-wave caused by the discretization of near-surface layer, an orthogonal polynomial expansion method has been developed to study the acoustic waves propagating in metals with continuous changes of near-surface elastic properties.

用一个适当阶数的多项式来表示表面层的弹性性质沿厚度方向的空间分布，这能够很好的反映其表面性质到未受影响下层性质的连续分布。

In order to reduce these shortcomings, on the basis of enriched polynomial basis functions, weighted orthogonal basis functions are used to obtain the MLS approximation by using a Schmidt orthogonalization. In the end, the improved LBIE method for elasticity fracture is proposed.

为了改善这些不足，本文在扩展的多项式基函数的基础上，利用Schmidt正交化方法构造带权的正交基函数，建立了断裂力学的改进的局部边界积分方程方法。

It is devised based on iterative curve fitting where orthogonal polynomials are used.

这种算法设计利用基于正交多项式的迭代曲线拟合，可以在没有人为干预的情况下自动处理吸收和发射光谱。

Numerical analysis of the structure of orthogonal polynomials the problem, the program contains interpolation point input interface.

详细说明：数值分析中的构造正交多项式问题，程序中含插值点输入界面。

The use of MATLAB code to solve the discrete orthogonal polynomials.

详细说明：利用MATLAB编码来解决离散正交多项式。

A new method, suitable for identification of distributed loading on continuous model with orthogonal polynomials by using limited measured data is introduced.

用正交多项式拟合的方法对连续系统的分布动态载荷进行识别的技术，为用有限的测量信息进行连续系统分布载荷的识别提供了可行的方法。

To deal with data containing time drift, orthogonal polynomials fitting instead of least squares method is used.

研究了一种适用于这种过程的数据处理方法，利用权函数为1的特殊正交多项式做最佳平方逼近，从而避免求解病态方程组，得到较好的处理结果。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。