《材料力学》中出现的弯矩方程、挠曲线近似微分方程、挠曲线方程的定义域不尽一致。
The definition domains of the moment equation, the approximate differential line of deflection equation and line of deflection equation in Material Mechanics are quite different.
应用挠曲线近似微分方程，推导了线切割结构的载荷与位移关系，并给出了由于微分近似导致的误差。
The relation between load and displacement is deduced by approximately differential equation of flexural curve and the error resulted from this estimation is given out.
好的我们可以看这儿,看这个微分方程，这里没有做近似。
Well we can go look up here, looking at the differential, there are no approximations here.
加权残值法是一种可以直接从偏微分方程中求得近似解的数学方法。
The method of weighted residuals is a mathematic procedure with which approximate solutions can be obtained directly from partial differential equations.
本文研究了二阶变系数线性常微分方程的一种近似求解方法。
In this paper, we study an approximate solution of the second-order linear ordinary differential equations with variable coefficients.
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。
This paper Studies nonlinear wave equation with dissipation items, reaching an approximate solution in the method of parameter differentiation.
通过合理控制计算量，得到了微分方程近似解的局部截断误差的估计。
The local truncated error estimation of the approximately solution could be obtained with reasonable computational cost.
在柱坐标下从微分波动方程出发，推导柱面光波的场分布，并利用远场近似条件导出当线光源与光轴成任意角度时，在垂直光轴方向的参考面上的复振幅表示。
The expression of complex amplitude is given in reference plane vertical to the optical axis by far-field approximation when the line source and the principal axis are at any Angle.
本文从连续图像出发，将二阶偏微分算子应用于影像函数，利用多重网格算子能得到近似影像的性质，得出一种多分辨影像分解的方法，经过图像重建过程得到融合影像。
Using the so-called approximation of image property by a multi-grid operator, we can derive a method of multi-resolution decomposition of the image, thus the fusion image is formed by reconstructing.
应用微分法作近似计算，推导出了齿轮加工中计算第二次径向进刀量的简易公式。
Makes the approximate calculation by the use of differentiation, and puts forward the simple and easy formula of second feeding in processing gear.
辐射传输方程微分方法的近似解通常以吸收系数为基本参数。
In approximate calculation of radiation transport differential equation absorption coefficient is a fundamental parameter.
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。
This paper studies nonlinear wave equation with dispersion items, reaching an approximate Solution in the method of Parameter differentiation.
在扭曲波冲量近似下，讨论中能区反质子与原子核非弹性散射的微分截面和极化度。
In the framework of the distorted wave approximation, we discuss the differential cross section and polarization of antiproton-nucleus inelastic scatterings at intermediate energies.
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。
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.
本文对线性时滞微分方程边值函数问题提出一种级数近似解方法。
In the present work, a method for solving the linear delay differential equations of the boundary-value function problem by using Taylor series is given.
采用常微分方程理论研究了无旋波近似下双光子J-C模型系统的时间演化。
The time evolution of system in two photon Jaynes Cummings (J C) model without rotating waves approximation (RWA) is obtained by using the theory of ordinary differential equations.
推导了三种钻模定位误差的通用计算公式和微分近似计算公式，提出了在不同定位误差要求下三种定位钻模适用的加工场合。
The general calculation formulas and differential approximate calculation ones are deduced, and the different machining occasions applying those jigs in condition of different demand o…
本文应用比较方法，提出滞后型泛函微分方程初始问题的近似解法，给出了解的近似迭代序列及其误差估计式，并证明迭代序列的收敛性和计算稳定性。
Using the comparison method, an approximate approach to the delay-differential equations is proposed in this paper. The proof of its convergence and calculation stability is also given.
科学计算及其应用常常需要多变量函数的有关偏导数问题的计算，通常使用的计算方法是符号微分或差分近似。
Evaluation relevant to the partial derivatives of the multivariable functions is often done in scientific computation, usually by means of the symbolic differentiation or the divided difference.
用另一种方法导出了秋千非线性动力学微分方程的近似解，很适合课堂讨论。
The approximate solution to the nonlinear differential dynamic equation of a swing is derived by using another simple method, which is very suitable for discussing in class.
提出一种低通滤波降阶时滞观测器，避免了常规时滞观测器控制中由于时滞状态微分近似引起的控制信号颤振。
A reduced order time delay observer with low pass filter is presented. The vibration of control signal, which is caused by the approximation of the delayed derivative of the state, is eliminated.
通过非线性系统的线性化方法，讨论了一类非线性时变微分系统的解关于部分变量指数稳定的一次近似。
The first order approximation of the partial exponential stability of nonlinear time-varying systems is investigated by linearization approach of nonlinear systems.
在柱坐标下从微分波动方程出发，推导柱面光波的场分布，并利用远场近似条件导出当线光源与光轴成任意角度时，在垂直光轴方向的参考面上的复振幅表示。
Starting from the wave differential equation, a method is deduced to express the complex amplitude of light wave fields in the reference plane which is vertical to the optical axis.
采用重心有理插值近似未知函数，得到未知函数的各阶微分矩阵。
The differentiation matrices of unknown function are constructed by using barycentric rational interpolation.
因此，目前所有的解，均限于差分法及能量法所得的近似解。本文企图直接解微分方程，并满足包括自由角点的边界条件去求解。
As a consequence, the solutions now we have are all limited to such approximate ones as obtained by finite difference method, variational method and the method of finite elements.
通常通过对跨线测量各种近似公式全微分得到近似的误差公式。
Generally, the error formula of over-wire measurement is derived from an approximate formula.
对三维波动方程做单程波分解，给出了用低阶偏微分方程组逼近上行波方程的2种高阶近似表达式。
This paper performs one-way wave decomposition for 3d wave equation, and 2 kinds of high approximation of up-going wave equation in low order differential equation system are derived.
文中提出了一种基于微分近似、利用图像的空间连续性进行图像修复的算法。
This paper proposed a new algorithm for image restoration based on spatial continuity and differential approximation.
所提出的插补方法采用五次样条和四次曲线多项式微分法近似求取导数，能够更好的满足精确加工的需要。
The applied interpolation method adopts quintic spline and derivatives generation approach for discrete points by using quartic polynomial, which can better meet the needs of high-accuracy machining.
所提出的插补方法采用五次样条和四次曲线多项式微分法近似求取导数，能够更好的满足精确加工的需要。
The applied interpolation method adopts quintic spline and derivatives generation approach for discrete points by using quartic polynomial, which can better meet the needs of high-accuracy machining.
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