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separation of variables是什么意思,separation of variables的意思翻译、用法、同义词、例句

输入单词

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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