表示式

Two merging methods of Bézier curves are generalized to tensor product Bé zier surfaces, we propose two methods to approximate two pieces of adjacent tensor product Bézier surfaces by a piece of tensor product Bézier surface. We offer the explicit formulas of the merged tensor product Bézier surfaces with all kinds of merging conditions.

同样，Bézier曲线的两种合并方法也被成功的推广到张量积Bézier曲面上，得到把两片相邻张量积Bézier曲面合并成一片张量积Bézier曲面的两种合并方法，并给出在各种合并条件下的合并曲面控制顶点的显示表示式。

Two above methods are generalized to tensor product Bézier surfaces and triangular Bézier surfaces, we give two approaches of degree reduction for tensor product Bézier surfaces, each of which reduces a given degree n×m tensor product Bézier surface to a n〓×m〓 one, and two methods of degree reduction for triangular Bézier surfaces, which reduce a given degree n triangular Bézier surface to a degree m one. The explicit formulas of control points for reduced tensor product and triangular Bézier surfaces are obtained respectively.

张量积Bézier曲面的两种降阶方法均可把n×m阶张量积Bézier曲面一次降阶为n〓×m〓阶张量积Bézier曲面；三角Bézier曲面的两种降阶方法均可把n阶三角Bézier曲面一次降阶为m阶三角Bézier曲面，并给出降阶张量积Bézier曲面和降阶三角Bézier曲面控制顶点的显示表示式。

This paper presents a new class of piecewise trigonometric polynomial curves and a weighted trigonometric polynomial curve which has simple structure and can be used to design curves.

提出了一类新的分段三角多项式曲线，给出了加权三角多项式曲线，表示式结构简单，能用于曲线设计。

In a recent book, Professor Easternly suggests bed nets given freely in Africa are often use (过去式啊…… used) for the wrong purpose.

在近期的一本书中，埃斯特里教授表示那些赠与非洲的免费蚊帐常常被人们错误使用。

The bending problem of simple-supported parallelogrammic plates on Winkler foundation is reduced to two simultaneous Fredholm integral equations of the second kind by applying Green quasifunction method. The Green quasifunction is set up by using the fundamental solution of Poisson equation and the normalized boundary equation.

应用准格林函数方法，即利用方程的基本解和规范化的边界方程构造一个准格林函数，将Winkler地基上简支平行四边形薄板的弯曲问题化为两个耦合的第二类Fredholm积分方程，此积分方程的核表示式在区域的边界上具有奇异性。

On the basis of analyzing the oscillatory frequency of crystal oscillator , the general expression of the frequency deviation of crystal frequency modulation oscillator is de rived .

本文在分析晶体调频振荡器振荡频率的基础上，得出了晶体调频振荡器频偏的一般表示式，最佳负载条件下的频偏设计公式和调制级有电流串联负反馈时的频偏设计关系式。

C Consider thermodynamic functions of the system of interacting fermions using the oscillator representation

利用振荡表示式，考虑相互作用费米系统的热力学函数

Meanwhile, the Beer-Lambert equation was modified for 254nm and 365nm UV light permeation through methyl orange solution, and a mathematic equation for light permeability was established.

通过实验研究，对紫外光在溶液中透过性的Beer-Lambert公式进行了修正，得出了不同波长紫外光在甲基橙溶液中透过性的数学表示式。

The nucleons deep-inelasticstructure functions and electromagnetic form factors parameterize fundamental information about its quark substructure.

实际上依赖于Q，的弹性形状因子反映价夸克的结构函数在x分1时的行为，反过来，由结构函数实验分析的系统学表示式亦可作出对形状因子的估算。

In the process of degree reduction, two cases are considered respectively. One is the case without conditions of endpoints interpolations.

两种方法均考虑了不带端点插值条件和具有端点高阶插值条件的情形，并给出降阶Bézier曲线控制顶点的显示表示式。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。