elliptic integral

The application of Legendre elliptic integral function in physics

Legendre椭圆积分在物理学中的应用

The exact solution of the period is got by using the first kind of complete elliptic integral .

应用第一类完全椭圆积分求出了非线性振动周期的精确解。

The relative analysis and resolving usually lead to the elliptic integral which is difficult to be resolved .

但实际的单摆运动的分析求解将会导致没有解析解的椭圆积分。

The calculations of some electrostatic and magnetostatics problems by means of elliptic integral

利用椭圆积分法计算某些电磁场问题

The elliptic integral model for determining the total amount of solar radiation at the top of the earth 's atmosphere

确定大气上界太阳辐射总量的椭园积分模式

The dropping impact differential equation was solved by the variation iteration method and verified by the elliptic integral method .

采用变分迭代法对系统的跌落冲击微分方程进行求解，用椭圆积分法对其进行了验证。

Complete elliptic integral of the first kind a half-grown quahog .

第一类完全椭圆积分一种未完全发育的圆蛤。

Such a partition is called a bipartition of the graph . complete elliptic integral of the second kind

这样一种分类称为图的一个二分类。第二类完全椭圆积分

A Note on Iteration Methods for Linear Fredholm Integral Equations of the Second Kind incomplete elliptic integral of the first kind

第二类线性Fredholm积分方程迭代算法的一个注记

A rounded convex molding , often a quarter section of a circle or an ellipse . incomplete elliptic integral of the first kind

凸圆线脚装饰一个圆的凸圆体塑模，通常为一圆或椭圆的四分之一部分

Based on the large displacement theory , and with consideration of initial eccentricity , the relation formula between pressure and initial eccentricity is deduced through integral transform and elliptic integral .

基于大挠度理论，考虑初始偏心的影响，通过积分变换及椭圆积分展开式推导得到压力与初始偏心之间公式。

First the geographical position mathematical model and exact calculation formula were built . For the elliptic integral formula , the numerical integration was used to replace the approximate calculation in the past .

首先建立地理位置的数学模型和精确的计算公式，然后用数值积分法来代替以往的近似计算进行数值解析计算。

The second-order differential equation including elliptic integral is numerically solved by integral , and the non-linear oscillation of a charged point in a uniformly charged ring is discussed .

本文用数值方法求解含有椭圆积分的二阶微分方程，讨论了均匀带电圆环内点电荷的非线性振荡及其运动特征。

Complete elliptic integral of the second kind Much effort has been spent on investigating the crossing numbers of complete graphs , complete bipartite graphs and cartesian products graphs .

大多的努力是在探求完全图，完全二部图及笛卡尔积图的交叉数。

The location of ankle joint and the formula to conclude the maximal ground force were obtained using elliptic integral method , and the simulation was carried out , which shows the validity of the method .

利用椭圆积分方法，求出了仿袋鼠机器人脚部变形的表达式和末端（踝关节）变形后的位置变化关系以及地面最大作用力的公式，并进行了计算分析。

In this essay , we progressed the elliptic integral with the method of numerical integration , and calculated the electric field intensity and the zeta potential on the plane embeded a uniformly charged circle .

本文用数值积分的方法计算椭圆积分，求出在均匀带电圆环平面上的场强与电势。

In this paper three precise magnetic field calculation methods and their comparison for solenoid coil are discussed , which are : Legendre Polynomial Expansion Method , A single Integral Formula Method and Bartky Transformation Method of Elliptic Integral Calculation .

本文介绍了三种具有较高计算精度的螺线管线圈磁场的计算方法，并对它们的计算精度进行了比较。这三种方法是：勒让德函数展开法，单积分法和椭圆积分的Bartky变换法。

The Poisson summation formula is used to convert the double series of the elements into a more rapidly converging series , and the integration middle value theorem and elliptic integral are used to simplify the double integral of the elements .

对于矩阵单元的双重级数，采用泊松求和公式改善了级数的收敛性；对于矩阵单元的二重积分，分别采用积分中值定理及椭圆积分予以简化。

Using numerical integral method , the deformation of large deflection bending of beam is calculated , by application of the transition from elliptic integral which resulted from the classic solving processes to the summing operation of elementary function on some limited integral points .

采用数值积分法计算梁的大挠度变形，将经典解法的椭圆积分转变为有限个点的初等函数值求和运算。

In calculating the magnetic distribution and the inductance of OH coil , Bill-Surf equation and elliptic integral is used to simplify the calculation , Then , turn processes of calculation into language for computers , and a right result has been received after a series of adjustments .

在计算OH线圈的电磁分布和电感时，应用毕奥-沙伐公式，通过椭圆积分简化计算，然后把求解过程转化成计算机语言，经反复调试和修改得到一个满足要求的结果。

Highly accurate approximations of the elliptic function are obtained in this paper through the use of Gauss transformation , which could not be obtained by the traditional method of using elliptic integral tables .

运用高斯变换法求椭圆函数的高精度近似值，解决了过去沿用椭圆积分表达不到精度要求的困难。