样条函数

The results showed that TPS was of the best accuracy of three methods for temperature, precipitation and relative humidity, significantly for air temperature and precipitation. The difference of the accuracy of three interpolation methods for the aestival relative humidity was not significant.

结果表明：薄盘光滑样条函数法的插值精度最优，特别是温度和降水的效果尤其明显；对于三种插值方法，相对湿度的插值精度在夏季差异不明显。

Applying multivariate spline theory which was established by Wang RenHong in ( [1] , [2] ), the Nother theorem of algebraic curve [71] is generalized to the piecewise algebraic curve.

1：利用王仁宏在文献（[1]，[2]）中关于多元样条函数的基本理论，本文将代数曲线的Nother定理（[71]）推广到分片代数曲线上，给出了剖分为〓，和星形剖分上的C〓分片Nother型定理。

First, a program which can be used to obtain the encoder values of each joint D. C. servomotor and then change them into angular position is developed. By means of cubic spline, the angular velocity and angular acceleration are calculated.

本文开发了实时采集和转换机器人各关节的码盘值为角位移的程序，并提出了以三次样条函数求各关节角速度和角加速度的方法，提高了计算精度。

This paper discusses minimal surface in arbitrary boundary and describes a new method for approximating to minimal surface with B- spline surface in arbitrary bounded domain.

讨论了任意边界下的极小曲面造型问题，提出了一个用B-样条函数做任意有界区域上极小曲面造型的新方法。

In Chapter Three, we use the method of interpolation spline of differential operater to come up with the reproducing kernel in H01 with respect to bounded linear operator in H10. Then we use the reproducing kernel to develop the expression of the best approximating of bounded linear operator in H10 and prove its convergence.

第三章中，对于H_0~1中的有界线性算子，用微分算子插值样条函数的方法给出了H_0~1空间中的再生核，利用此再生核给出了H_0~1上的有界线性算子的最佳逼近的表达形式，并证明了其收敛性。

This method can guarantee continuity and one-order smoothness of the estimated failure rate curve.

基本思路是：对那些寿终时刻，分别用单位时间内的失效频率做为失效率的估计，然后用二次样条函数来拟合出失效率曲线，这种处理可保证失效率曲线的连续性与一次光滑。

Section two elaborates the structure of a simple model on static yield curve of zero-coupon bond. According to the difference of constitution principle, the dissertation divides the numerous static models into direct ones and indirect ones. On the basis of setting forth the different constitution thoughts of two methods, it compares the merits, shortcomings, and the application scopes of the two methods. Spline model is the most common indirect method, and is the study emphasis of this section, especially its three key approaches that are defining the rank of function, the subinterval number to be divided, and knot of each subinterval, which are fully elaborated in the dissertation.

第二节阐述了现行静态零息票债券收益率曲线简单模型的构造，根据构造原理的不同，论文把众多静态模型划分为直接法和间接法两大类，在简述两种方法各自不同的构造思想的基础上，对两种方法的优缺点及适应范围进行了比较；分段样条函数模型作为最常用的间接法，是本节研究的重点，尤其是对它的三个关键环节：确定函数的阶数、确定所分的段数、确定各段的分解点，论文更是给予了充分的论述。

In order to get the formulation,the B3 spline function is used to distribute the contact problem,and numerical examples are analyzed to show the effectiveness of the method.

该方法充分利用了样条函数的解析和数值双重性及连续性强的优点来构造杆的位移函数，因此可推广应用于分析结构在冲击荷载下的动力响应问题。

The complicated cam profile can be expressed by one continuous function while not postulating the types of cam curves in advance.

将复杂的凸轮曲线用一个连续函数表示，而不必事先假定凸轮曲线的类型，并可通过适当调整三次样条函数的系数Cj 改善曲线形状以适应额外的内点和边界条件。

This paper establishes cubic spline function, analyzes subsection curve function and curve slope and curvature, at last decides to place the curve especial points which can be obtain easement curve length and other line parameters, such as the ZH point (end of line and beginning of transition curve), the HY point (end of transition curve and beginning of circular curve), the QZ point, the YH point (end of circular curve and beginning of transition curve), the HZ point (end of transition curve and beginning of line).

针对公路平面线形的8种组合类型，其线形元素特征则由最基本的直线、圆曲线、缓和曲线组成的特点，解析三次样条函数模型，得分段曲线函数、曲线斜率、曲率，从而确定曲线特征点（直缓ZH点、缓圆HY点、曲中QZ点、圆缓YH点、缓直HZ点）位置，进而得到曲线缓和曲线长度及其他线形参数。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。