辐射式方程的解，氢原子波函数，氢光谱。
主要分析一维拟线性波方程的解的间断性。
The characteristic method is applied and the weak discontinuous solutions of homogeneous quasilinear wave equations are discussed.
同样，用拉氏逆变换，可求出微分方程的解。
At the same time, using the inverse transformation of Laplace to find the solution of differential equation.
调和方程的解与微分形式之间有着密切的联系。
The solution of A-harmonic equation and the differential forms have many affinities.
本文研究脉冲微分方程的解的存在性与定性性质。
This paper studies the existence for solutions and qualitative properties of impulsive differential equations.
利用方程的解推出地层应力及破裂参数的计算公式。
Derives the formula for calculating the formation stress and rupture parameters with the solution of the equation.
在此基础之上，证明了方程的解集构成L的凸子格。
Based on the discussions, it was proved that the solution sets of the equations are convex sublattices of l.
此外还给出可以用a的多项式来表示方程的解的充要条件。
We also give necessary and sufficient conditions that any solution can be explicitly expressed by matrix polynomial of a.
目的研究一阶具有分段常数变量的脉冲微分方程的解的性质。
Objective to investigate characters of the solution to first order impulsive differential equations with piecewise constant arguments.
即使初始条件十分光滑，双曲守恒律方程的解也可能出现间断。
The solutions of the Hyperbolic conservation laws might develop discontinuity even if the initial conditions are very smooth.
在考虑了云中上升速度随高度变化的情况下求得了扩散方程的解。
Considering the rising speed in clouds changes with altitudes we obtained the solution for the diffusion equation.
推导并证明了旁轴波动方程的解与复源点方法之间的一致性关系。
The derivation of the relationship between the paraxial wave equation and the complex source points is given and proved.
本文对弹性波动方程的解进行了探讨，给出了初边值内题解的解析表达式。
A solution of elastic wave equation: is studied in this paper. An analytic expression of solutions of the initial boundary value-problems is given.
给出了描述具有几个光振荡周期的飞秒激光脉冲在非线性光纤中传输方程的解。
The solution of the nonlinear wave equation describing propagation of a femtosecond laser pulse with duration of several optical oscillation periods in a nonlinear fiber is presented.
首次在激光热传导方程中引入噪声项，推导了噪声影响下该激光热传导方程的解。
The noise source was firstly introduced into the differential equation of laser thermal conduction and the equation was solved.
通过推导单元特征方程的解及应用虚功原理，建立了墙元的刚度矩阵和荷载向量。
Stiffness matrix and load vector were founded on developing eigen-equation for wall element and applying principle of virtual work.
简要介绍了布尔曼-拉格朗日级数，并推出了几个常见超越方程的解的渐近表示。
The Bulman-Lagrange series is briefly introduced and the asymptotic expressions of several common transcendental equations are derived.
约束矩阵方程问题是指在满足一定约束条件下的矩阵集合中求矩阵方程的解的问题。
The constrained matrix equation problem is, in a constrained matrix set, finding a solution of the matrix equation.
约束矩阵方程问题是指在满足一定约束条件下的矩阵集合中求矩阵方程的解的问题。
The problem of constrained matrix equation is to find solutions of matrix equations in a set of matrices satisfying some constrained conditions.
得到了波动方程的解的反演公式及等距等式，为再生核理论的应用提供了新的思路。
Then we prove the isometrical identity and inversion formula of the solution of the wave equation.
由此方程的解导出了等离子体显示单元的电导率、介电常数以及着火条件的表达式。
The expression of firing condition, dielectric constant and electrical conductivity of AC plasma display cell can be derived from the equation's solution.
我们将研究下氢原子薛定谔方程的解，特别是电子和核子的结合能，我们将研究这部分。
We're going to be looking at the solutions to the Schrodinger equation for a hydrogen atom, and specifically we'll be looking at the binding energy of the electron to the nucleus.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
好，首先，原点不是其中的点，(x,y,z)为(0,0,0)不是该方程的解。
Well, first of all, the origin is not one of them, (x, y, z) being (0, 0, 0) would not solve that equation.
在方程课上，我听了一系列未公开的演讲，强调的是微分方程的解的存在证明及其唯一性。
For the equations course, I was given a set of unpublished lectures that emphasized existence proofs and uniqueness of solutions to differential equations.
基于特征方程的解，精确地计算出临界载荷参数和动力特征参数的值以及动力失稳模态。
The dynamic buckling modes, the critical load parameter and the dynamic characteristic parameter are calculated accurately on the basis of the solutions of the characteristic equations.
写出阻尼谐振子的哈密顿函数，对其直接量子化，用分离变量法得出了薛定谔方程的解。
The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.
对于位置正解，其中方程的解最多为4，说明这种平面并联机构可以有4种不同的位姿。
For forward displacement, the original equations have 4 solutions. The result shows that the planar parallel redundant robot have 4 different positions and orientations.
对于位置正解，其中方程的解最多为4，说明这种平面并联机构可以有4种不同的位姿。
For forward displacement, the original equations have 4 solutions. The result shows that the planar parallel redundant robot have 4 different positions and orientations.
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