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Home > chinese-english > "separation of variable" in English

English translation for "separation of variable"

分离变量

Related Translations:
gravitative separation:  重力分离
diversity separation:  分集间隔
separation surface:  分离面
hydraulic separation:  水力离析
di separation:  错距倾向离距
separation work:  分离功分水工程
judicial separation:  法院判决的夫妇分居。
diffusional separation:  扩散分离作用
clonal separation:  无性系分离营养繁殖系的分离营养系分离
separation filter:  分向滤波器隔离滤波器频带分隔滤波器
Example Sentences:
1.Method of separation of variables and boundaryvalue problem of the isosceles - right triangular waveguide
分离变量法与等腰直角三角形波导的边值问题
2.By using the method of separation of variables and limited fourier and laplace transform , the analytical results are obtained
运用分离变量法和有限傅立叶变换和拉普拉斯变换,将系统运动微分方程转换为线性方程组,求出挠度和内力解析解。
3.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。
4.According to thinking the joints of plates as elastic boundary supports to plates and by using of the method of separation of variables , betti ' s reciprocal theorem of work , the solution of dynamic equation can be deserved
运用变分法,分离变量法,互等功定理等数学工具求解板的运动方程,可得出弹性地基上考虑接缝传荷能力的道面板在移动荷载下的动力响应(解析解) 。
5.By adopting appropriate transformation , this paper transform the heat conduction equation with internal heat source into a non - source heat conduction equation , and then solve the problem successfully by the method of separation of variables
其关键方法是:通过将电场量引入温度场方程,作适当变换,把含内热源的热传导方程转化为不含内热源的热传导方程,然后采用分离变量法进行求解。
6.The tu ' s scheme is extended to the generalized dirac spectral problem with an arbitrary function , the generalized kaup - newell spectral problem and the new 3x3 spectral problem with five potentials such that their lax integrabie integrabie hierarchies of equations and liouville integrabie hamilton structures are obtained . chapter 7 is devote to higher - order constraint flow , involutive system , lax representation , r - matrix and the separation of variables
第六章研究了lax可积的新的方程族和liouville可积的n - hamilton结构方面的问题:将屠格式推广到新的含有任意函数的广义dirac族的谱问题、广义kaup - newell谱问题及含有五个位势函数的3 3谱问题,研究了它们的lax可积的方程族和liouville可积的hamilton结构。
7.In this dissertation , with the aid of many types of constructive transformations and symbolic computation , some topics in nonlinear waves and integrable system are studied , including exact solutions , painleve integrability , backlund transformation , darboux transformation , symmetry ( similarity reduction ) , conditional symmetry , lax integrable hierarchy , liouville integrable n - hamilton structure , constraint flow , involutive system , lax representation , r - matrix , separation of variables and integrable couplings . chapter 2 and 3 are devoted to investigating exact solutions of nonlinear wave equations : firstly , the basic theories of c - d pair and c - d integrable system are presented
本文以构造性的变换及符号计算为工具,来研究非线性波和可积系统中的一些问题:精确解(如孤子解、周期解、有理解、 dromion解及compacton解等) 、 panileve可积性、 backlund变换、 darboux变换、对称(相似约化) 、条件对称、 lax可积族、 liouville可积的n - hamilton结构、约束流、对合系统、 lax表示、 r -矩阵、变量分离及可积的耦合系统
8.The solving steps are as follows : the field is divided into three regions by the cylindrical surface of the finite - length cylinder and the location of the delta - coils . because " the surface current source is placed at the interface , the non - homogenous restricted equation on the magnetic vector potential is transformed into the homogenous helmholtz equation . by using the method of separation of variables to solve equation and according to the interface conditions and the condition at infinity to determine the unknown constants , the expressions for the magnetic vector potential of the three regions are solved out
在求解过程中,假定放置式圆柱线圈是由无穷多个对称圆环线圈密饶而成,首先求解含有有限长磁芯的通电对称圆环线圈的电磁场:以有限长圆柱磁芯的侧面和圆环线圈所在圆柱面为分界面将场域划分为三个小区域,由于场源放置在内边界面上,使得关于矢量磁位的非齐次约束方程转化成齐次亥姆霍兹方程,利用分离变量法求解,根据分界面郑州大学硕十研究生毕业论文摘要条件以及无限远条件确定待定常数,从而得到各场区矢量磁位的表达式。
9.The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle . then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem . the result can be derived by analytical method
在平面弹性问题中,由变量代换及变分原理,方程可导向哈密顿体系,从而通过分离变量法及共轭辛本征函数向量展开法,以解析的方法来进行求解。
10.There are many kinds of ways to solve the electrostatic field of two - dimensional laplace ’ s equation or the poisson ' s equation , like the separation of variables , green ’ s function or alternative means . but if their boundary shapes are quite complex , it is extremely difficult to use these usual methods , and , in general , it is impossible to work out even there is such peculiar instance as analytic solution , or obtains the approximate solution
对二维拉普拉斯方程或泊松方程的平面场的解法有多种,如分离变量法、格林函数法或者其他方法,但如果它们的边界形状比较复杂,用这些通常的方法求解会非常困难,即使对于存在有解析解的特殊情况,一般说来也不可能求出,而且求得的只能是近似解。
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