分析无穷空间点源扰动函数积分形式的解。
The solution in integral form of Green's function of a point source in infinite space is analysed.
引入扰动力的概念，提出了边坡稳定性分析的扰动函数法。
By the concept of the disturbing force, a disturbing function method for slope stability analysis is presented.
在能量吸收比较小的假设下，利用此法可得到两套及演速度扰动函数和反射函数的公式。
Two sets of inverse formula of velocity perturbation and reflection functions are deduced under the hypothesis of small energy absorption.
针对具有参数不确定性和外部未知扰动的不确定系统，基于灵敏度函数，提出了一种二自由度控制结构。
For uncertain systems with parameter uncertainty and unknown disturbance, a two-degree-of-freedom control structure was proposed based on sensitivity function.
如果只考虑磁扰动的贡献，不同值的振动模的频率变化仅只是涨落磁场能谱的函数。
For the magnetic perturbation contribution, we obtain the frequency shift of modes with different degree as a function of the spectrum of fluctuating magnetic field.
模型用带扰动观测器补偿的滑模变结构控制，对控制函数切换并受滑动模态控制。
Owing to applying the model of sliding mode variable-structure control that has compensation of disturbance monitor, switching control function was controlled by sliding mode.
对于低频扰动，当系统实现闭环控制后，像面上线扩散函数已接近衍射极限。
When the system close -loop controlling is realized for lower frequency perturbation, the approximate diffraction limited line spread function can again be achieved on the image plane.
基于降阶闭环传递函数可对各机组从而对整个多机系统的小扰动稳定性进行有效的分析。
Using reducing-order closed-loop transfer function, small signal stability of each machine even the whole multi-machine system is analyzed efficiently.
应用暂态能量函数分析给出了注入空间上的实用动态安全判据，以此来量化暂态稳定性指标，从而实现对事故后系统的有功功率小扰动分析。
The method performs active power perturbation analysis respectively on the stable equilibrium point of pre-fault system, the trajectory of fault-on system and transient stability of post-fault system.
考虑当目标函数在约束条件下的最优值作扰动时，使各约束作极小扰动的非线性规划问题。
The nonlinear programming problem that the constraint perturbation attains minimum under the condition when the objective function makes its optimal perturbation is considered.
在考虑塑性区内不排水强度是扰动度的对数函数的基础上，得到了考虑扰动的球形孔扩张的弹塑性解答。
On the basis of the undrained shear strength being the logarithm function of the disturbance degree, the elastoplastic solution of the cylindrical expansion is obtained.
在采用冻结湍流假设和几何光学近似的条件下，得到了经自适应光学系统校正后的剩余波前相位扰动的结构函数。
The structure function of residual wavefront phase perturbation compensated by an adaptive optics system has been derived by means of frozen turbulence hypothesis and geometric optics approach.
算例给出了扰动幅值增长和形状函数等演化曲线，并对机翼、机身的边界层稳定性进行了分析和研究。
In the examples we get some evolution curves, such as the growth rates and shape functions, which are used to analyze the stability problems for the boundary layers of the fuselage and the wing.
发现扰动的线性阶段成长率是相对瑞利数r的函数。
It is found that the growth rate of perturbation in linear stage is function of relative Rayleigh number r.
本文计算了各种条件下绕圆柱的阻力系数、流函数涡量分布以及扰动流函数等。
The drag coefficient, the stream function and vorticity, the perturbed stream function are calculated under various conditions.
所考虑的非线性扰动力矩是角位置的周期函数，这在实践中是很常见的。
The disturbance torque dealt with is assumed to be periodic in position, which is very common in practice.
仿真结果表明换极后的球谐函数计算扰动引力能够满足精度要求，且在计算中弹道方程的解算速度也有很大的提高。
The result of simulation indicates that this method not only satisfies the precision but also enables us to enhance the calculation speed of the trajectory equations.
运用比较原理和导数不连续的李雅普诺夫函数，结合分解集结等方法，研究具有滞后的测度型线性时变脉冲扰动大系统的全局指数稳定性。
The stability of time-delay and time-varying large scale systems with impulsive effect is investigated by means of the comparison principle and vector Lyapunov function with discontinuous derivative.
适当初函数的强扰动激发不仅在P_ 2波观察到锁频效应，在P_ 4波也证实了锁频效应的存在。
By strong fluctuation stimulation of a proper initial function the frequency-locking effect is observed not only in P_2-wave, but also in P_4 wave.
针对粒子群算法用于高维数、多局部极值点的复杂函数寻优时易陷入局部最优解现象，提出一种改进的带扰动项粒子群算法并进行收敛性分析。
Traditional particle swarm optimization(PSO) algorithms often trap into local minima easily when used for the optimization of high-dimensional complex functions with a lot of local minima.
文中运用了一种改进的球谐函数法，即换极法，大大简化了勒让德函数的递推计算，并进行了换极前后被动段扰动引力的仿真计算。
In this paper the improved method, also named transformation of the polar, is used to predigest the iterative calculation, and the simulation calculation has been progressed.
针对一类带有符号未知不确定虚拟控制增益函数的不确定非线性受扰动系统，提出一种鲁棒自适应控制算法。
A novel robust adaptive controller is presented for a wider class of perturbed uncertain nonlinear systems with unknown virtual control coefficients.
采用计算横波型扰动波谱和谱函数的方法，研究了当基本气流具有垂直线性切变、层结参数为常值时横波型扰动的不稳定，给出了不稳定扰动的结构，讨论了不稳定的性质。
The character and structure of instability of transversal wave disturbance is studied in this paper by using calculating the spectrum and spectral function of the transversal wave disturbance.
利用函数单向s -粗集对偶，结合系统规律生成，提出了开环控制系统的扰动识别准则，并给出了开环控制系统扰动识别的结构图和具体实现过程。
Based on the dual function S-rough set and system law generation, disturb recognition criteria of the open-loop control is given.
电子输运由中心位置向等离子体边缘靠近时，温度扰动分布函数在逐渐的减小。
When electronic transport to plasma edge position, the temperature perturbation distribution function is reduced.
本文通过空间扰动位协方差函数特性，得出卫星重力梯度数据与引力位系数的相关协方差函数。
Least Squares Collocation is used to educe the function that can directly compute gravitational potential coefficient by satellite gravity gradiometry data.
考虑当目标函数在约束条件下的最优值作扰动时，使各约束作极小扰动的非线性规划问题。
Transferring this problem into a corresponding multiobjective programming, the optimality conditions of minimal perturbation constraints nonlinear programming are given.
通过矩阵变换，得到隧道围岩体扰动应力、应变和位移的解答函数式。
By matrix transformation, the solutions of surrounding rocks disturbance stress, strain and displacement are obtained.
重点讨论了扰动是正弦函数形式时，耦合强度、频率、波数、初始相位差对光孤子传播的影响。
This paper focuses on the perturbation which takes the sine form. The effect of amplitude, frequency, wave number, and initial phase difference on the propagation of optical soliton is investigated.
重点讨论了扰动是正弦函数形式时，耦合强度、频率、波数、初始相位差对光孤子传播的影响。
This paper focuses on the perturbation which takes the sine form. The effect of amplitude, frequency, wave number, and initial phase difference on the propagation of optical soliton is investigated.
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