查询词典 equation of a circle

Therefore at each time we get the roots of this cubic equation, we can decide if we keep or reject each root according to the continuity of the curved surface, the method is as follows: If , the relative cubic plane curve is just a circle, this circle can be gotten by solving .

因此在每次求得该一元三次方程的解时，我们根据曲面的连续性来判断这些根的取舍，方法如下：在处，所得的平面曲线就是圆截线，该圆截线可以由相截得到，即。

According to the principle of the diameter of a circle corresponding to the right angle and the principle of short side for little angle in right triangle, projecting the initially-chosen point to the hyper-planes of the linear equation group in which every linear equation can be regarded as a hyper-plane and the projection points can be obtained. The initially-chosen point, and one arbitrary projection point, and the solution point are all on the surface of the relative hyper-geometry ball, therein-to, there is a projection point which is nearest to the solution point and it can be regarded as the next iterative initially-chosen point, so the solution problem of the linear equation group can be changed as an iterative problem of approaching the solution on the surface of a hyper-geometry ball.

根据直径对应的圆周角足直角以及直角三角形中短边对小角的原理进一步知道，当将初始点向线性方程组中各个方程所代表的超平面上投影得到投影点时，初始点和其任何一个投影点及方程组的解点都将位于一个相应的超球面上，其中必定存在一个投影点离问题解点的距离最短，即把该点作为下一次迭代的初始点，从而可将线性方程组求解的问题变成球面上逼近解点的迭代问题。

The equation of a circle is .

圆的方程为。

Hence, find the equation of the circle passing through A, B and the origin.

e 由此，求通过 A、B 和原点的圆的方程。

A novel no touch measuring method for traditional products was put forward and a precise model of Direct Linear Transform was presented for the aberration in the images occurred at every turn. Rectangle mark tag and location parameter are no longer needed in this algorithms. A method of tolerance reckon by curve equation was also provided. In order to raise the operation speed Hough circle detection method was improved. In the meantime circle detection method to images with more than one circle was applied, so that the concentricity calculation is possible.

论文的创新点是，提出了传统机械产品的非接触式测量方法，特别针对图像采集环节最容易出现的畸变现象，提出了一种严密的直接线性变换模型，该算法既不需要在影像上有框标，也不需要有摄影机内外方位参数的起始近似值，具有显著优点；提出了利用曲线的方程来确定公差的方法，对传统的Hough圆检测方法进行了改进，提高了检测速度，同时将圆检测用于存在多圆的图像，使多圆的同心度检测成为可能。

The equation of magnetic line of force for current element is derived and the concluion is obtained that any magnetic line of force is a close circle and its center changing in straight line on three coordinate plane, the oblique rate is determined by current element.

导出了电流元的磁力线方程，发现任一磁力线是一闭合圆线，圆心在三个坐标平面上沿直线变化，斜率由电流元的取向决

Thomasina wants to create the kind of equations that make nature, such as an equation to make a flower rather than a circle, cone, or square.

Thomasina要创造什么样的方程组，使性质，如方程，使花，而不是一个圆圈，锥，或平方米。

The ellipse curre equation of circular image is derived based on the theory of spatial analytic geometry and rotation matrix s representation with unit quaternion then a mathematical model of the distortion error is established which relates the distortion error to the foca length of the used CCD camera,the radius as well as the position and the attitude of the inspected circle directly.

研究三维视觉检测中圆的中心经针孔摄像机成像后存在畸变误差的问题，首先基于空间解析几何理论和旋转矩阵的四元数表示法推导出像平面上投影椭圆的参数方程；然后根据参数方程建立圆中心成像畸变误差的数学模型；最后对影响畸变误差的主要因素进行分析。

Firstly, a new design method of cam profile has been developed by using finite terms of Fourier Series in the cycle of cam angle as the basic equation of cam profile, so the difficulty of base circle wave existing in the method of resonant cam design can be eliminated. On the other hand, the method proceeds from the acceleration of cam profile, which makes the acceleration not only smooth and continuous, but also easy to be controlled, and the cam profile with good performance can easily be acquired.

此方法用以凸轮包角为周期的富立叶级数有限项作为凸轮型线的基函数，可以免去谐波凸轮设计时控制基圆波动的困难；此方法又是从凸轮型线的加速度曲线入手进行设计，使型线加速度不但光滑、连续，而且形状容易控制，便于设计出动力性能优良的凸轮型线。

So the research on the thermo-economics analysis of thermal power plant is significant, this paper focuses on this field and gets some conclusions as follows: Based on Equivalent Enthalpy Drop Method and Cyclical Function Method, a conception, New Heating Steam Flow, is proposed and defined in this paper, which makes it possible to separate the cogeneration circle into condensate steam circle and heating steam circle and to get the new power equation and calculate the Rate of Electrical Power Generation by Heating Steam with Net Equivalent Enthalpy Drop.

在等效热降法的基础上，结合循环函数法的循环分析理论，通过引入热化新蒸汽量的概念，使得常规抽凝供热机组的纯凝汽循环与供热抽汽循环得以分离，从而得出了相应的供热机组汽轮机的功率方程，并实现了热化发电量与净等效热降计算的统一，最终完成了利用等效热降法对供热机组热化发电率的计算，使得已在凝汽机组中应用成熟的等效热降法可以方便地应用于供热机组，进行经济性分析和计算。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。