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1)  Generalized eigenvalue equation
广义久期方程
2)  secular equation
久期方程
1.
Then the corresponding secular equation can be solved more easily and the polarization vector can be determined.
由化简后D(k)的矩阵形式,能较为容易地解久期方程及确定偏振矢量。
2.
According to the degenerate perturbation theory and the secular equation of n=1,2,3 energy level,Stark s effect of n=4 energy level for hydrogen atom is studied and calculated and the stark s effect for hydrogen atom at(n)th energy level have also been deduced.
根据简并情况下的微扰理论和n=1,2,3对应能级的久期方程,推出n=4状态下氢原子的斯塔克效应中的久期方程,并算出该状态下氢原子在电场中的能级分裂情况。
3.
According to the perturbation theory, a distribution law of matrix element in secular equation is discovered in degenerate state and wave function property of the hydrogen atom.
根据简并态微扰理论和氢原子波函数的性质,得到久期方程中微扰矩阵元的分布规律。
3)  generalized equation
广义方程
4)  Generalized stochastic duration and convexity
广义随机久期和凸度
5)  generalized Boussinesq equation
广义Boussinesq方程
1.
Smooth soliton solutions and different kinds of periodic traveling wave solutions for a generalized Boussinesq equation;
广义Boussinesq方程的光滑孤子解和各种周期行波解
2.
In this paper,the qualitative theory of differential equations and the bifurcation method of dynamical systems are used to investigate the existence of the solitary peakon solution to a generalized Boussinesq equation.
利用微分方程定性理论和动力系统分支方法,对一类广义Boussinesq方程的孤立尖波解的存在性进行了研究。
3.
Then an implicit multi-symplectic scheme equivalent to the multi-symplectic Box scheme was constructed to solve the partial differential equations(PDEs) that were derived from the generalized Boussinesq equation.
广义Boussinesq方程作为一类重要的非线性方程有着许多有趣的性质,基于Hamilton空间体系的多辛理论研究了广义Boussinesq方程的数值解法,构造了一种等价于多辛Box格式的新隐式多辛格式,该格式满足多辛守恒律、局部能量守恒律和局部动量守恒律。
6)  generalized Riccati equation
广义Riccati方程
1.
On Integrability Conditions of Generalized Riccati Equation——To discuss about it with Mr.Zhao Linlong;
关于广义Riccati方程的可积条件——与赵临龙先生商榷
2.
The generalized Riccati equation is introduced in a class of uncertain nonlinearly generalized interconnection systems with saturation input to design the decentralized and generalized robust stabilization controllers relevant to such systems.
采用广义Riccati方程,对一类具有输入饱和的不确定非线性广义交联系统,给出了一种分散广义鲁棒镇定控制器的设计。
3.
This paper considers one kind of generalized Riccati equation.
考虑一类广义Riccati方程,通过函数变换,在所给条件下,将这类方程等价地化为变量分离方程,从而得到了该方程可积的三个充分性判据,并给出方程通解的参数表达形式,扩大了Riccati方程的可解性范围。
补充资料:久期方程
分子式:
CAS号:

性质:在原子轨道线性组合为分子轨道中,久期方程是指关于组合系数的线性齐次方程组。该方程组有不全为零的解的条件是由系数所构成的行列式等于零,此行列式称为久期行列式。

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