变量分离 meaning in English
separation of variables
Examples
- The nonlinear parameters of the complicated dynamic soil - box foundation - frame structure interaction system are inversed according to this nonlinear calculating model and this inversion method
利用非线性计算模型和变量分离的非线性参数拟合法,实现了复杂的土-箱型基础-框架结构相互作用系统的非线性参数反演。 - Last , the 2 - d lumped mass nonlinear model is established to simulate the dynamic soil - box foundation - frame structure interaction system , and the variables separated nonlinear parameters fitting method is proposed
最后,建立了土-箱型基础-框架结构相互作用系统的非线性计算模型,并提出了变量分离的非线性参数拟合法。 - The different methods presented above , especially tsf method and separating - variable method , are simple , efficient , robust and with boldness and ingenuity of conception . they all break through some key problems and difficulties in reconstruction technology of hyper - surfaces
上述诸方法，尤其是二步法和变量分离法，简单高效，构思新颖巧妙，突破了超曲面重构的难点和关键技术。 - Based upon practical engineering applications , the variant separating - variable algorithms of hyper - surface fitting for arbitrary multivariate scattered data are presented by separating positional variables in a spatial domain from certain physical variables such as time , mach number , angle of attack and so on , followed by their comparison . when compared with existing scatted data interpolation algorithms , the new ones are more effective . a sufficient condition to exchangeable order of separation is obtained and order of continuity on the hyper - surfaces above is discussed
三、以实际工程应用为背景，将具有某种物理意义的量(如时间、 ma数、迎角等)与空间位置变量分开处理，给出任意散乱数据超曲面拟合变量分离的各种算法，对它们进行了算法的分析比较，获得了分离次序可交换性的充分条件，给出了变量分离法构造的超曲面的光滑阶。 - 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