With the aid of the projective operator technique, an integro-differential equation for the porbability density and an approximate equation for the mean first-passage time (MFPT) have been derived.
推导了平均第一通过时间（MFPT）方程，并在弱噪声和短相关近似下，得出方程的解； 通过数值分析阐明了平均第一通过时间和噪声关联时间之间的联系。
As an approximate method, with the trigonometric function, the simple pendulum dynamical equation is simplified, and the approximate formula for the period of simple pendulum movement is presented.
利用三角函数作为一种近似方法，对单摆的动力学方程进行了简化，给出了大角度条件下单摆运动的周期的近似公式。
This article brings forward an approximate analytical solution to Reynolds equation for finite journal bearings.
本文给出有限长径向轴承雷诺方程的一种近似解。
These formulae can be used as an approximate basic solution when the integral equation method is employed for the analysis of piles and other geotechnical engineering problems.
当用积分方程法分析桩和其它地学工程问题时，这些公式可以用作一近似的基本解。
Therefore an algorithm is developed to (approximate) the limit state equation accurately around the true design point through iterative modifications for the design point solution.
由此提出一种算法，通过逐步修正求解得到的设计点以实现在设计点附近较高精度地逼近结构真实极限状态方程。
Based an STURM method, this paper designs an algorithm, by which a gener-al C-program for the real root approximate solution of higher equation.
本文根据STURM定理设计了一个算法，按这一算法编写了一个求高次方程所有实很近似值的C语言程序。
An algorithm to realize the cosine wave-crossing method in digital cycloconverter is performed by using the linear equation to approximate trigonometric equation.
在数字式交鄄交变频器中，一般采用直线方程近似三角方程的方法实现余弦交点法求触发角。
An implicit approximate factorization scheme (AF2) is employed in this paper to obtain the numerical solutions of TSD and TSTD equation.
本文采用近似因式分解(AF 2)方法，数值求解二元跨音速小扰动速势方程。
An improved one dimensional heat transfer equation of the rectangular longitudinal fin with uniform section and its modified approximate solution are proposed.
本文推出了等截面矩形直肋的一维修正传热方程及修正近似解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
An approximate equivalence method is used to simplify the recovery equation with mixture densities into single density.
采用近似等价的方法，将含有混合密度的恢复方程简化为单一密度求解。
This paper Studies nonlinear wave equation with dissipation items, reaching an approximate solution in the method of parameter differentiation.
对一类带耗散项非线性波动方程进行了研究，用“参数微分法”，得到其解析近似解。
In chapter 4, Homotopy perturbation method is successfully extended to solve time-fractional diffusion equation with a moving boundary condition and an approximate solution is obtained.
在第4章，同伦摄动的方法被成功应用到求解带有一个可动边条件的时间分数阶扩散方程并且得到了一个近似解。
The equation for calculating the lateral buckling critical load by using the energy method is deduced, and an approximate solution is given.
推导了用能量法计算侧向屈曲临界载荷的计算式，并给出了近似解。
This paper studies nonlinear wave equation with dispersion items, reaching an approximate Solution in the method of Parameter differentiation.
对带色散项非线性控制方程进行了研究，用“参数微分法”，得到其近似解。
Ordinary linear differential equation with its solution is an approximate method to describe dynamic laws of nature, Strickly speaking, most laws of nature is nonlinear.
自然界的运动规律常常用线性微分方程来描述，但进行深入的考虑，更多的运动规律是非线性的。
With the rectangular function expanded into a finite sum of complex Gaussian functions, an approximate analytical propagation equation of HChG beams is derived.
采用将矩形函数展开为有限个复高斯函数之和的方法，推导出了光场分布的解析表达式。
An approximate solution of the paraxial ray equation for cylindrical dense electron beams was obtained by means of the Taylor expansion.
本文提出圆柱形强流电子束的傍轴轨迹方程，可以用台劳展开求出它的近似解。
The paper gives an approximate analytical solution of this equation by direct method, and disc…
本方法曾进行了相当数量的计算，与试验数据比较，得到较满意的结果。
The paper gives an approximate analytical solution of this equation by direct method, and disc…
本方法曾进行了相当数量的计算，与试验数据比较，得到较满意的结果。
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