曲线

By analyzing the characters of Bezier, we construct trigonometric polynomial curves in the space of trigonometric functions, which assume the characters of Bezier curves.

本文主要工作：(1)以Bézier曲线的特点为基础，在三角函数空间上构造了具有Bézier曲线特性的三角函数多项式曲线，称其为TC-Bézier曲线。

In order to make up the deficiency of ordinary trigonometric polynomial curves in aspect of shape adjustment, then in view of polynomial spline cannot represent some transcendental curves, a new kind of parametric trigonometric polynomial spline with a shape parameter is constructed by linear singular blending technique.

为了弥补普通三角多项式样条曲线在形状调整方面的不足，同时又考虑到多项式样条曲线不能精确表示一些超越曲线，我们利用奇异混合的思想构造了一种新的带有形状控制参数的三角多项式样条曲线。

As an example to cubic trigonometric polynomial Bézier,the characters of trigonometric polynomial Bézier curve is analyzed,and deduced that cubic trigonometric polynomial Bézier curve is more smooth than cubic polynomial Bézier curve.

Bézier曲线是计算机辅助几何设计中的一类重要曲线，文献[1]介绍了三次Bézier曲线插值，文献[2]介绍了三次Bézier曲线的保凸插值，但难以解决一端曲率为0，另一端曲率比较大的插值问题。

For example, we study the properties of the"centroid curve" and the"auxiliary curve", and identify two planes in which these two curves are defined respectively; we also use the idea of homotopy method to prove a fact that the orbit of a differential system has no triple contact point with the line we considered. Another key technique, which we use several times, is deformation argument.

例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一坐标系中考虑；利用拓扑中同伦的思想来证明微分系统的轨线不可能与某条直线三重相切；利用几何方法与分析计算相结合证明了某一曲线是正则的；以及连续变动参数的技巧。

Based on the stress analysis to spired axis mechanism,in the aspect of sliding part which smoothes through alveolus intersection, theresearch of parameters optimization, about the middle alveolus of spired axis andthe dimension of sliding part, has been studied. To the problem that the reverseportion at the both sides of spired axis lashed fiercely and fraies quickly, thearticle finely analyses the best curve of alveolus when adding cushiony spring atthe both sides.

在对螺旋轴机构进行受力分析的基础上，从滑块顺利通过齿槽交叉点的要求方面，对螺旋轴中间段齿槽和滑块的尺寸进行了参数优化分析；针对螺旋轴两端曲线齿槽反向段在高速工作时冲击大、磨损快的问题；从减少滑块在齿槽反向段运动的冲击方面，比较分析了圆弧、抛物线、三角函数等曲线作为螺旋轴齿槽反向段曲线的加速度，提出了较优的(来源：ABCab论bf文网www.abclunwen.com)反向段曲线。

Its survival curve could be described by Deevey-Ⅲ.

云南红豆杉的存活曲线属于Deevey—Ⅲ曲线，该种群的死亡率曲线与消失率曲线变化趋势基本一致，均在龄级为110～130a和220～250a阶段出现第一和第二峰值。

By deducing the calculation formula of luminaire efficiency and illuminance on working face, and analyzing a case of lighting, the paper can help lighting designers design efficient and excellent lumination by aptly using luminous intensity distribution curve.

结果 推导出利用配光曲线计算灯具效率和工作面照度的近似公式。结论灯具的配光曲线能够反映出灯具的许多重要特性，配光曲线在照明计算中提供又一便捷工具，正确利用灯具的配光曲线，对建筑照明设计具有重要的指导作用。

However , the demand curve derived in this way may slope either downward or upward the supply curve derived in this way even doesn 't exist in the monopolistic situation theoretically , if a supply curve doesn 't exist to a monopolistic producer , there are no such supply curves existing to oligopolistic and monopolistically competitive producers either .

然而这样推得的需求曲线既可能向下倾斜，也可能向上倾斜；这样推得的供给曲线，在垄断情况下就&不复存在了&；而且理论上讲，如果垄断厂商没有供给曲线，那么寡头厂商，垄断竞争厂商也会没有供给曲线。

In general, the main contents and achievements of this paper consist of the following aspects:(1) Based on the characteristics of the transportation and the classic flow-occupancy inverse "V" model, implement polynomial fitting using least-squares algorithm and statistics method on flow curves to detect outliers which are proved to be not accord with practice through the actual implement, then use the moving average model to recorrect the outliers and absent.

本文根据交通领域的流量—时间占有率的倒&V&字型曲线模型，提出了一种基于曲线拟合的交通流异常检测方法，利用三次多项式的最小二乘法拟合流量/时间占有率曲线，并且利用分箱的思想对拟合好曲线上下部分分别采用基于统计的方法划分上下界，有效的识别异常交通流数据。

By utilizing the difference between curve s arc and chord,a series of more convenient and easily rememberable calculating formulas for railway curves are derived.

本文利用曲线的弧弦差推导出一系列比较简便、易记的铁路曲线计算公式，不需三角函数表及各种铁路曲线表，仅以简单的运算即可求得常用的各种曲线要素。

I will endeavour to find you some assistance.

我尽力帮你找人帮忙。

At first I only know bruck is the idol of American younglings, afterwards I returned back to Taiwan ,even in Beijing last year ,I saw her poster everywhere, I was so surprised at her charm.

起初我只晓得布鲁克雷德丝是美国少男少女崇拜的偶像，后来回台湾，甚至去年在北京，居然也四处看见她的海报，才惊讶她的魅力之大。