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dc.contributor.author王麗雲en_US
dc.contributor.authorWang, Li-Yunen_US
dc.contributor.author李榮耀en_US
dc.contributor.authorLee, Jong-Eaoen_US
dc.date.accessioned2015-11-26T01:04:41Z-
dc.date.available2015-11-26T01:04:41Z-
dc.date.issued2013en_US
dc.identifier.urihttp://140.113.39.130/cdrfb3/record/nctu/#GT079920501en_US
dc.identifier.urihttp://hdl.handle.net/11536/71615-
dc.description.abstract在此篇文章中,我們主要在探討理想的單擺運動。首先,藉由多項式去逼近,並探討相對應之方程式,在這之中我們發現黎曼空間的理論是必要的,因此接著介紹如何造出相對應的黎曼空間,並利用Mathematica幫助我們去計算相對應的黎曼空間上的路徑積分及方程式上相關之性質。 再來,介紹橢圓函數的基本性質,我們利用橢圓函數解出原微分方程的實際解、週期及相關性質。zh_TW
dc.description.abstractIn this paper, we study the ideal pendulum equation. First, we study the nonlinear approximation of the exact theory, and the Riemann surface theory is needed. So we study the Riemann surface of genus N in various algebraic cut-structures. We then apply Mathematica to evaluate path integrals on those Riemann surfaces. Secondly, we study the classical Elliptic functions. From which, we are able to solve the exact solution and certain properties of the pendulum motions.en_US
dc.language.isoen_USen_US
dc.subject單擺運動zh_TW
dc.subject黎曼面zh_TW
dc.subject橢圓函數zh_TW
dc.subjectpendulum motionen_US
dc.subjectRiemann surfaceen_US
dc.subjectElliptic functionen_US
dc.title在E型代數結構下之N相黎曼空間的單擺運動之確切理論與數值運算zh_TW
dc.titleThe Exact Theory and Numerical Computations of Pendulum Motions on Riemann Surface of Genus N with Cut-Structure of Type Een_US
dc.typeThesisen_US
dc.contributor.department應用數學系數學建模與科學計算碩士班zh_TW
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