separation of variables是什么意思,separation of variables的意思翻译、用法、同义词、例句
常用词典
变数分离(法);变量分离(法)
例句
The method of separation of variables and the method of eigenfunction expansion are used to derive the calculation equations of stress singularities at crack tip.
利用分离变量法及本征函数向量展开等方法,推导出裂纹尖端的应力奇性解的计算公式。
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.
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 Green's functions for electric and magnetic vector potentials in a sectoral wave guide and its cavity are derivated by using the separation of variables, Fourier transform and residue theory.
文中介绍了扇面直波导及其腔体中电矢量位和磁矢量位的格林函数,采用分离变量法、傅里叶变换法和留数定理导出了格林函数的具体表达式。
By using separation of variables and double Fourier series, we obtain a solution to the initial-boundary value problem of the forced vibration of this rectangular membrane.
利用分离变量法和二重傅里叶级数的方法,得到了矩形膜的受迫振动初边值问题的解。
Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.
首先,导出了用极坐标系描述的中厚板自由振动板的微分方程,用分离变量法求得其一般解。
Separation of variables is employed to solve the differential equation under the boundary condition of two ends of the girder being simply supported, and the solution of stress is…
在两端简支的边界条件下采用分离变量法求解偏微分方程,得到用级数表示的应力解,然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
The lateral displacement of lattice shell is obtained by separation of variables for fixed boundary condition.
板壳承受横向载荷,除了有面内位移外,还存在面外位移。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
Separation of variables method for fractional diffusion-wave equation with initial-boundary value problem in three dimensions;
讨论一类在部分区域上的奇摄动反应扩散方程初始边值问题。
In the paper, the dynamic axial response of bar during impact, while the impactor and target are regarded as a system of vibration, is analyzed by means of variables separation method.
本文采用模态分析方法,分析了任意支承条件下杆的冲击动力响应。
The separation on a shaking table is controlled by a number of operating variables and the importance of these variables in the model development is described.
讨论了控制摇床选别的操作变量及这些变量在模型研究中的重要性。
By using variables separation in the complex number field, the real analytical solution in the form of Fourier series was obtained.
在复数域内利用分离变量法,得到了这类方程的级数形式的解析解,而最后的解是实数形式。
Based on pickling principle, research results of membrane separation process and experience of engineering practice, the author developed a method of solving equations in multiple variables.
作者根据钢铁酸洗原理、膜分离工艺研究结果和工程实践经验,提出了多元一次方程求解法。
In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.
在第二章中我们主要利用群分支法来求解非线性扩散方程(2.4)的分离变量解。
The temperature field around a straight buried pipe was analyzed using conformal mapping, separation of variables and boundary discretization. A series solution was obtained for the temperature field.
为了对直埋管道保温层及其土壤邻域的温度场进行较精确的分析,采用保形映射、分离变量和边界离散法对地下直埋管道的温度场进行分析,得到了级数形式的解。
When the flow is a supersonic one, separation of variables will be used for a square experimental section.
在超音速流时,对矩形实验段区域,则采用分离变数法求解。
After some reasonable assumption and simplicity, a two-dimensional analysis method has been got with separation of variables.
本文通过一系列合理假设和简化后,利用分离变量法,推导出计算汽缸温度场的二维解析法。
Third, the mode solution is obtained using the separation of variables. The last, the mode transition property is discussed when the plane wave transmit in the step-index optical fiber.
再次,利用分离变量法推导出平面波在阶跃光纤中传播的模式表达式,讨论了光波在光纤中传播的模式特性。
Separation of variables is one basic method of boundary value problems.
分离变量法是解边值问题的一种基本方法。
网络扩展资料
分离变量法(Separation of Variables)是数学中的一种求解偏微分方程的方法。它主要应用于求解偏微分方程中的边值问题。该方法的核心思想是将多元函数表示为单元函数的乘积形式,然后对单元函数分别进行求解。
用法
分离变量法适用于一类偏微分方程,即可以表示为各个变量的函数相乘的形式。通常情况下,该方法用于求解定解问题。在求解过程中,需要将偏微分方程中的未知函数表示为各个变量的乘积形式,然后将各个变量分别进行求解。
例句
英文:The separation of variables method is a powerful technique for solving partial differential equations.中文:分离变量法是求解偏微分方程的一种强大的技术。
英文:The separation of variables method can be used to solve various types of partial differential equations.中文:分离变量法可以用于解决各种类型的偏微分方程。
解释
分离变量法是一种求解偏微分方程的方法,其基本思想是将多元函数表示为单元函数的乘积形式,然后对单元函数分别进行求解。该方法可以用于求解一定范围内的偏微分方程边值问题。
近义词
- 变量分离法
反义词
- 合并变量法(Combination of Variables)
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