By using the elliptic function and conformal transformation theory,a close form solution to this problem is obtained.
运用椭圆函数和保角变换理论,获得了该问题严格的闭合解。
Phase plane properties of an electron in Wiggler field are analysed by using Jacobian elliptic function and elliptic integral based on the pendulum equation for FEL.
从自由电子激光器的摆方程出发,利用Jacobian椭圆函数和椭圆积分分析了系统的相平面特征,并利用加速器概念和束流动力学方法,讨论了系统的稳定性、增益和临界特征等问题。
A class of new doubly periodic wave solutions for(2+1)-dimensional breaking soliton equation are obtained by introducing appropriate Jacobi elliptic function and Weierstrass elliptic function in the general solution(contains two arbitrary functions)got by means of multilinear variable separation approach for(2+1)-dimensional breaking soliton equation.
在多线性分离变量法所得(2+1)维破裂孤子方程广义解(包含2个任意函数)中引入符合条件的Jacobi椭圆函数和Weierstrass椭圆函数,从而获得了该系统的新双周期解。
A fuzzy arc is given by a simple curve and its circularity function.
一个模糊圆弧由一条简单曲线段和该曲线段的圆度函数共同给出。
Weierstrass elliptic function solutions for MKdV equations;
MKdV方程的Weierstrass椭圆函数解
A Relationship Between the Hasse-Weil Zeta Function of an Elliptic Curve and Those of its Forms
椭圆函数和它的form的Hasse-Weil Zeta函数的一个关系
Exact Analysis of Single Pendulum by Jacobi Ellipse Function;
利用Jacobi椭圆函数精确分析单摆的运动
Historical Analysis on the Theory of the Elliptic Function;
雅可比建立椭圆函数理论的历史分析
Jacobi Elliptic Function Expansion Method To KdV Equations;
KdV方程的Jacobi椭圆函数求解
New Jacobian elliptic function solutions for nonlinear evolution equations
非线性演化方程的新Jacobi椭圆函数解
A Solution of a Revolving Single Pendulum usIng Jacobi Elliptic Function
“旋转单摆”的Jacobi椭圆函数解
cylindric(al) harmonics
柱谐[圆柱, 调和]函数
The earliest automorphic functions to be studied were the elliptic modular functions.
研究得最早的自导函数是椭圆模函数。
On the Sequence of Filling Circle and Borel Direction of Quasimeromorphic Function;
关于拟亚纯函数的型函数的充满圆及其Borel方向
The Borel Points on the Small Functions of the Meromorphic Function of Zero Orders in the Unic Disc
单位圆内零级亚纯函数关于小函数的Borel点
The Analysis of the Best Window Function Based on PSWF
基于椭圆球面波函数的最佳窗函数分析
SOLUTION OF BENDING AND BUCKLING PROBLEMS OF CIRCULAR PLATES BY TAKING BESSEL FUNCTIONS AS TRIAL FUNCTIONS AND WEIGHTING FUNCTIONS
用贝塞尔函数作试函数及权函数解圆板的弯曲和稳定
B-Spline Function Method for the Nonlinear Bending of Circular Sandwich Plate Subjected to Axisymmetrical Distributed Load;
夹层圆板非线性弯曲的样条函数解法
Approximation of Quasiconformal Mappings and Analytic Functions by Circle Packings;
拟共形映射与解析函数的圆填充逼近
Liouville Theorem and Green Function for Degenerate Elliptic Equations;
退化椭圆型方程的Liouville定理及Green函数
The Equivalence of Discrete Logarithms between Elliptic Curve and Real Quadratic Function Field;
椭圆曲线与实二次函数域的DLP等价
Elliptic Genera and Theta Functions Identities;
椭圆亏格及theta函数的恒等式