样条函数

By using the techniques of an explicit criterion to determine the number of real roots of a univariate polynomial in ( [13] , [73] ); B-net form of bivariate splines function; discriminant sequence of polynomial (cf. [13] , [73] ) and the number of sign changes in the sequence of coefficients of the highest degree terms of sturm sequence, this paper determines the number of real intersection points two piecewise algebraic curves whose common points are finite.

3：利用杨路，张景中，侯晓荣在文献（[13]，[73]）中关于一元多项式实根的显式判准，以及二元样条函数的B-网形式，多项式的判别序列和Sturm序列的最高次数项系数序列的变号数，本文给出了两个分片代数曲线的实交点数的计算公式。

Three kinds of interpolation methods including Inverse Distance Weight, Ordinary Kriging and Thin Plate Smoothing Spline were used to interpolate monthly average air temperature, precipitation and relative humidity at the spatial resolution by 1.0 km×1.0km in 1971-2000 in 92 meteorological stations, which covered the mountainous areas of the Southwest China. The results were verified by the cross validation and the random validation.

用反距离加权法、普通克里格法、薄盘光滑样条函数法三种空间插值方法，对西南地区复杂山地92个气象站点30 a（1971-2000年）的温度、降水和相对湿度月平均资料进行分辨率为1.0km×1.0km的空间插值，并进行了交叉验证和随机站点验证。

In order to overcome them, another simple but highly effective method is proposed in this paper. This method is based on mechanical model of spline function. The principle is that the vertical displacements of elastic lamella grids the elevation of land key points. Consequently we can use the finite element method to draw contours accurately.

为了克服这些现象，提出了一种根据地形特征点自动绘制等高线的高效、简便、实用的新方法，其基本思想是建立在样条函数的力学模型基础上，利用弹性薄板的竖向位移比拟地形特征点的标高，从而利用有限元，高精度地绘制出等高线。

The article points out the importance of realizing the Multi-layer line in structure figure of style pattern .

通过对传统服装款式结构图中多层线型的分析，进行了基于B3次样条函数的曲线拟合，提出了多层线型的两种算法原理。

In order to obtain spectrum intensity distribution inside a circular luminant without damage,a measuring method depending on Abel transform was developed.

为了在无损状态下获得圆截面发光体内部谱线强度空间相对分布，提出了利用Abel变换，将被检对象外部的逐层扫描数据通过3次样条函数方法数值求解，从而得到被检对象内部参数分布情况的实验方法。

Usually,multivariate spline function is smooth on every point of net lines.

通常的多元样条函数要求在网线的每一点上，分片多项式的光滑性一致。

Basing on the coordinating equations of multivariate spline space, we firstly study the smooth connection problem of the bivariate quadratic polynomial spline functions which defined on the polygonal region with one interior net

最后说明了在一种类1—型三角剖分上二元二次样条函数s∈S_2~1的存在性及在其上曲面光滑连接的可行性。

Some examples are calculated and by comparing the results with those obtained by the power series method, the validity and some excellences of the B-spline function method, such as wider convergent range, higher precision and less amount of computing time, are demonstrated.

所得结果很理想，验证了样条函数在此问题上的有效性，并在收敛速度、收敛范围、计算精度等方面体现了此法的优越性。

This dissertation establishes numerical methods in structural analysis on the basic of variation principle, finite member element method, spline function, etc.

本文利用变分有限元法、样条函数等，提出了薄壁箱梁结构分析的数值理论和方法。

The continuity equations for constructing C 2 quartic Bézier curve are discussed.

样条函数以其构造简单、易于计算又有很好的力学背景等特点而得到了广泛的应用，成为最重要的曲线构造方法之一[1～ 6 ] 。

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。