hyperelliptic integral

Based on the coupled mode theory,the bistability performance of nonlinear Bragg gratings is analyzed theoretically in terms of elliptic integration.

基于耦合模理论,利用椭圆积分方法对非线性布拉格光栅(NLBG)的双稳特性进行了理论分析,推导出较为普遍情形下表述NLBG输出强度与输入强度之间关系的解析表达式,并采用数值模拟的方法研究了NLBG双稳态对光栅内部参数的依赖性。

On the surface of cylindrical bounday,with the help of the series expansion of elliptic integration,the integration for the lateral surface of a cylinder has been expressed in analytical form about the integral equation of electric log.

在柱状边界条件下 ,借助椭圆积分的级数展开将电测井积分方程中对柱侧面的曲面积分表示成解析形

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

A method for qualitative research of physical problems on elliptic integrals;

研究椭圆积分物理问题的一种方法

It gives a series of graphs showing the mutual relationship between the yarn tension and the balloon configuration expressed in elliptic integrals, which, however, differ not very much from the results based on simpler sine approximations.

本文是在前文～(1)基础上对环锭纺极限气圈与气圈稳定性理论作进一步的研究,给出了气圈方程的椭圆积分解,用一系列曲线图来表示纱线张力与气圈形态之间的相互关系,并与正弦近似解进行了对比,结果表示在常用情况下两种解相当接近;最后又对气圈控制环进行了理论分析,也以一系列曲线图形式给出其合理的安装高度及其对降低T_0/ω～2)值所能带来的明显效果。

on these,the authors established the ellipticalintegral model with the expressions of elliptical integral,which is used to compute the extraterrestrial solar radiation on .

在坡面日出日没时角配置关系及其变化规律的基础上建立了椭圆积分模式。

By employing magnetic field distribution in the form of cylindrical coordinates and superposition principle, the general expression for tne magnetic field of Helmholzs coils is achieved, with elliptic integrals.

利用柱坐标下圆电流磁场分布和迭加原理，借助于椭圆积分求出Helmholtz线圈磁场的一般表达，分析磁场特性，而中心轴线上的场仅仅作为一特殊情况讨论。

The coefficient of mutual induction between two parallel coaxial circular coils carrying currents are calculated by Neumanns formula with elliptic integrals.

由诺依曼公式借助椭圆积分计算二平行共轴圆线圈间的互感系数，利用虚功原理获得此二载流线圈间相互作用的磁力，并对磁力的性质加以讨论和图示。

incomplete elliptic integral of the first kind

第一类不完全椭圆积分

complete elliptic integral of the first kind

第一类完全椭圆积分

complete elliptic integral of the second kind

第二类完全椭圆积分

Fast Numerical Method and Error Analysis of Ellipse Integral Equation

椭圆积分方程的快速数值求解与误差分析

The solutions are obtained utilizing the integration of properly weighted centres of dilatation over the volume occupied by the body.

通过体积元素积分得到的调和势函数通过椭圆积分及其导数表示。

An algebraic method discussing the physical application problem of elliptical integrals;

椭圆积分物理应用问题代数公式求解法

In the process of derivation the Biot～Savart rule is adopted to get the conclusion in stead of the conventional method,by elliptical integra-tion.

推导过程没有采用传统的完全椭圆积分，而是直接利用毕奥一萨伐尔定津得出结论。

In the equation E (k) is the complete elliptical integral of the second kind.

式中，E（k）为第二类完全椭圆形积分。

Integration Method with Applications to the Existence of Solutions for Elliptic Equations;

积分方法在椭圆型方程解的存在性中的应用

Field integral shimming of elliptically polarized undulator at Shanghai synchrotron radiation facility

上海光源可变椭圆极化波荡器积分场垫补

Research on Abelian Integrals for a Hyper-elliptic Hamiltonian System with a Nilpotent Saddle under Polynomial Perturbations

一类具有幂零鞍点的超椭圆Hamilton系统在多项式扰动下的Abel积分研究

Analytical Model for Cross-Sectional Area of Workpiece in Round-Oval-Round Pass Sequence in Bar Rolling

棒材轧制圆-椭圆-圆孔型中轧件面积计算模型

three quarter elliptic spring

四分之三椭圆形弹簧

quarter elliptic spring

四分之一椭圆形弹簧

self-adjoint elliptic differential operator

自伴椭圆型微分算子

Algorithms for a Vertex-Centered Covolume Method for Indefinite Elliptic Problem;

不定椭圆问题有限体积法的算法研究

Area Formula of the Polygon of Inscribed or Circumscribed Ellipse;

椭圆内接(外切)多边形的面积公式

Ellipsometric Study on Colored Electroplating of Cuprous Oxide on Ni Substrate

镍基彩色电沉积Cu_2O椭圆偏振光谱研究