幂级数解 meaning in English
power series solution
Examples
- The convergence property of p - dimension vector type dirichlet series
线性微分方程幂级数解的收敛半径 - We apply wu - ritt method to linear partial differential equations and gave the size of solution arid formal taylor solutions
我们把它应用到线性偏微分方程上去得到了解的规模和形式幂级数解。 - The first part , the theory and application about wu - ritt differential characteristic sequence method are discussed , which involves the theories of differential equations , abstract algebra and computer algebra etc . we apply wu - ritt differential characteristic sequence method ( abbr . wu - ritt method ) to linear partial differential equations which has physics significance and give the size of solutions and formal taylor solutions
本文共分两部分，第一部分讨论微分特征列法的理论和应用问题，涉及到微分方程，抽象代数，计算机代数等重要学科。将吴方法应用到具有物理意义的线性偏微分方程上去，我们给出了型序，验证了张鸿庆教授八十年代给出的恰当解的概念，刻划了解的规模并给出了形式幂级数解。 - In chapter 2 , the ii ordering is presented and the arbitrary functions and the arbitrary constants are least in the solution of formal series under the ii ordering by illustration ; furthermore , the author introduces the application of the standard form of reid to ascertain the target equation of linear constant partial equations
在第二章中，作者给出了reid标准型算法中的型序关系，通过举例说明在型序下，得到的形式幂级数解中任意函数和任意常数的个数最少；并提出了reid标准型的一个重要应用：确定线性常系数偏微分方程组的目标方程。 - Firstly , behavior and destroying mechanism of pile under inclined loads are systematically discussed based on summary of research on pile under inclined loads home and abroad , and then a power series solution for displacement and stress calculation of pile under inclined loads in layered soils is presented . based on the solution , the calculation of soil reaction force at the flank and bottom of piles , vertical and horizontal displacement of piles and maximal bending moment of piles is concluded
本文首先系统地回顾了国内外倾斜荷载桩研究工作,在此基础上详细讨论了倾斜荷载下基桩的受力特性和破坏机理,从而导出了处于成层地基中的倾斜荷载桩的内力及位移分析的幂级数解,并以幂级数解的分析结果进一步导出了桩侧及桩端土体抗力、桩身竖向及水平位移、桩身最大弯矩的计算方法。