曲线长度

In the paper,the bisection method is used to solve problems of the connection of two highway curve s,to calculate transitional length between two circular curves.

介绍了用二分法求解方程的实用方法，并详细地介绍了公路曲线对接和公路圆曲线间缓和曲线长度计算问题的计算方

On the basis of the fractal theory, general form and calculation method of the fractal characteristic are given, that is the calculation model of non-close fractal curve length and closed area, and box counting dimension algorithm.

基于分形理论，给出了分形特征的一般形式及其计算方法———非闭合分形曲线长度与围成面积的估算模型和盒维数的算法。

Solving sine function of the curve length, see Chuan was a similar, but I think this version is better.

详细说明：求解正弦函数的曲线长度，看到有人传过一个相似的，但是我觉得这个版本比较好。

In specific applications expression : in compressed natural language describes various examples of the basic algorithm, using MATLAB as a programming language, a series of the combined limit, the bonus points will be combined, one graphics area and the length of the horizontal curve equations, and curve tangent process, the rotary body size and shape combined several process issues.

在具体应用中的体现：以简练的自然语言描述了各实例的基本算法，运用MATLAB作为编程语言，实现了数列极限的求解、定积分的求解、平面图形面积及平面曲线长度的求解、求曲线切线的过程、旋转体体积的求解及其形成过程等几个问题。

The results are the following: When calculating the motion mass, it is better to use idler's equivalent mass instead of the rotating part mass and serial idler's rotating inertias and equivalent mass are calculated. The accurate analysis result for the deflection curve length of the belt shows: The error calculated by the approximate parabola length is lower than 10〓. Thus the approximate method is accurate enough for calculation. The relations between the running resistances coefficient and the belt velocity are studied by experiment, which are the bases for calculating the linear coefficient values between them.

得出：在计算参与运动质量时对托辊应采用托辊的等效质量而不是目前采用的托辊旋转部分质量，并计算出了系列的托辊转动惯量和等效质量；对输送带的挠曲线长度进行了精确的分析，结果表明：采用近似的抛物线长度计算方法其误差在10〓以下，因而得到在计算输送带挠曲线长度时采用近似的抛物线具有足够的精度；对输送机运行阻力系数与带速间的关系进行的实验研究，得出阻力系数与带速线性关糸的系数值。

Based on the characteristics of transaction curve and parallel line,the calculation formulas of boundary line parameters and length are derived,providing theoretical support for higher grade highway design,and determination,as well as practical formula for calculation,also providing mathematics model for dealing with linear data which are obtained through road survey.

本文从讨论缓和曲线边线的性质着手，对缓和曲线的曲线长度与对应的曲率半径变化规律作了分析比较，证明了缓和曲线的平行线不再具备缓和曲线的性质，如果把边线仍当作缓和曲线处理则会引起路线宽窄的变化。

According to road designing data of mileage,coordinate,azimuth angle of tangent or straight line,curve radius,the length of spiral line from main point of curve or straight line starting point,we can calculate the coordinates of center line points and boundary line point s in any form of road under the same coordinate system.

根据线路设计资料提供的曲线主点里程、坐标、切线方位角、曲线半径、缓和曲线长度的已知数据，计算出任意线形的中桩、边桩在线路统一坐标系中的坐标，利用全站仪极坐标放样程序，以线路附近的控制点或加密点为测站，准确、快速放样各点。

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。

According to the actual requirements of the curve realignment after the existing railway speed increasing,the traditional theory of involutes is abandoned and the coordinate measurement is used to directly realign curves.

在保证拨正前后轨道长度保持不变的前提下，利用切曲差的关系表达式，自动计算半径和缓和曲线长度，并通过算例验证算法的可行性。

For convenience of the comparison and application, method for calculating the binder path length is set up in accordance with Newton-Cotes method under the aid of computer. The binder shrinkages, which are more useful in fabric production, are converted from binder path length, and compared with the testing shrinkage results.

为了方便比较和应用，采用Newton-cotes法，建立了接结纱曲线长度的计算方法，并由计算机进行求解；再将模型计算的接结纱长度转化为接结纱缩率，并与实际测试的接结纱缩率相比较，发现两者基本是一致的，误差较小，说明建立的接结纱模型是正确的。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。