The general expressions of analytical solutions are obtained by the methods of self-similar functions.
采用自相似函数的方法可以获得解析解的一般表达式。
Axisymmetric dynamics problems with arbitrary index of self-similarity are solved by the ways of self-similarity, and the general representations of the analytical solutions are deduced.
对具有任意的自相似指数的轴对称动力学问题进行自相似求解，导出解析解的一般表示。
In this paper a general form of analytical solutions to the bending problems for orthotropic rectangular thin plates on elastic foundations is proposed, going on the promise of Winkler's assumption.
本文提出了在文克勒假设前提下，弹性地基上正交各向异性矩形薄板弯曲问题解析解的一般格式。
The general representations of analytical solutions with arbitrary index of self-similarity are deduced for axisymmetric dynamic fracture problems.
任意的自相似性指数分析解决方案的一般性的描述，推导了轴对称动态断裂问题。
However, the analytical solutions to the optimal portfolio problem are not obtained generally in practical market. What we can do in general is to get the approximations of this problem.
由于现实中组合最优化问题的解析解一般是无法求得的，所以通常能做的是求解问题的近似解。
Venant's differential equations. The general analytical solutions of 1st and 2nd approximations have been given for one directional wave flow which propagates into the steady flow region.
对向定常流区推进的单向波问题给出了解的一级近似和二级近似的普遍表示式；
Venant's differential equations. The general analytical solutions of 1st and 2nd approximations have been given for one directional wave flow which propagates into the steady flow region.
对向定常流区推进的单向波问题给出了解的一级近似和二级近似的普遍表示式；
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