We also proved that the problem of solving BAE can be transformed into the problem of finding the roots of a hypergeometric polynomial,which was much simpler.
在具体求解过程中,利用超几何微分方程十分有效地简化了计算。
First,it introduces a first-order energy functional,then minimizes it to derive a second-order geometric partial differential equation(GPDE) in the level-set formulation.
首先引入一个一阶能量范函,然后通过对其极小化诱导出一个水平集形式的二阶几何偏微分方程,从而将曲面变形过程转化为一个三维体上的隐式模型的演化过程。
On the basis of the hypothesis of straight normal line, geometrical equations about finlte deformation analysis of shells with small shear are exactly derived by means of continuum mechanics methods.
对壳体只采用直法线假设，应用连续介质力学方法，严格地推证有剪切的壳体有限变形的几何方程。
The paper deduced geometric equation based on the physical concept of engineering linear and shear strain and the characteristics of "axial symmetry" and "large deformation".
从工程线应变和工程切应变的物理概念出发,根据"轴对称"和"大变形"的特点,推导出相应的几何方程,另导出大变形条件下的体积不变定律。
In the frame of quantum mechanics,the equation to describe the particle motion was reduced to the hypergeometric equatin by this potential.
在量子力学框架内,把电子的Schrodinger方程转化为超几何方程,用系统参数和超几何函数严格地求解了电子的本征值和本征函数,并以Ga1-xAlxAs-GaAs-Ga1-xAlxAs量子阱为例计算了电子的带内跃迁。
In the frame of quantum mechanics, Schrodinger equation to describe the particle motion is reduced to the hypergeometric equatin by this potential.
鉴于“方形”势阱描述量子阱中的空穴运动行为过于简单、理想,引入了反比相关的双曲余弦平方势,并在量子力学框架内,利用这个相互作用势把空穴的Schrodinger方程化为了超几何方程,用系统参数和超几何函数严格地求解了空穴的本征值和本征函数,并以Ga1-xAlxAs-GaAs-Ga1-xAlxAs量子阱为例,计算了阱内的空穴跃迂。
confluent hypergeometric differential equation
合流型超几何微分方程
The Partial Differential Equations Based Geometric Technique in Image Processing;
基于偏微分方程的图像几何处理方法
RKMK Geometric Integration of Non-linear Partial Differential Equations;
非线性偏微分方程的PKMK型几何积分方法
overdetermined system of partial differential equations
偏微分方程的超定组
topological differential geometry
拓扑微分几何(学)
Methodology for Ultra Deep Sub-micro Integrated Circuit Interconnect Geometric Variation Extraction
超深亚微米集成电路互连线几何变异提取方法
Solutions to Several Classes of Nonlinear Differential Equations and Integral Equations;
几类非线性微分方程和积分方程的解
the Differential Geometry Method of Support Vector Regression Machines;
支撑向量回归机（SVRM）的微分几何方法
Several Methods in Discussing Real Number s Radical of Equations in Differential Calculus;
微积分中讨论方程实数根的几种方法
Dynamical Behaviors of Some Differential, Difference Equations;
几类微分、差分方程动力学性质的研究
Qualitative Analysis on Several Kinds of the Second Order Nonlinear Differential Equations;
几类二阶非线性微分方程的定性分析
Some Questions on the Application of Differential and Difference Equations Theory;
微分差分方程理论应用中的几个问题
Study on Oscillations of Several Kinds of Difference and Differential Equations;
几类差分方程和微分方程的振动性研究
A NEW METHOD FOR THE EXPECTATION AND VARIANCE OF SUPER GEOMETRY DISTRIBUTION;
超几何分布的期望和方差的一种新求法
a differential equation involving a functions of more than one variable.
含有超过一个变量的函数的微分方程。
OSCILLATION CRITERIA OF A CLASS OF ADVANCED TYPE DIFFERENTIAL EQUATIONS;
一类超前型微分方程的振动准则(英文)
Oscillation of the Solutions of the Second-order Super-linear Impulsive Equations
二阶超线性脉冲微分方程解的振动性
Exitence of Positive Solutions of Boundary Value Problems for Nonlinear Differential Equations;
几类非线性微分方程边值问题的正解