legendre transformation 中文意思是什麼
legendre transformation
解釋
勒壤得轉換- legendre : 勒讓德爾
- transformation : n 轉變，變化；變形；【生物學】（尤指昆蟲的）轉化，變態，改造，改革；變質；【數學】變換；【電學】...
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In this paper, we convert the complex third order eigenvalue problems into the real third order eigenvalue problems. then, based on the euler - lagrange equation and legendre transformation, a reasonable jacobi - ostrogredsky coordinate system have been found, then using nonlinear method, the lax pairs of the real bargrnann and neumann system are nonlinearized, so as to be a new finite - dimensional integrable hamilton system in the liouville sense is generated. moreover, the involutive representations of the solution for the evolution equations are obtained
本文將復的三階特徵值問題轉化為實的三階特徵值問題，利用euler - lagrange方程和legendre變換，找到一組合理的實的jacobi - ostrogredsky坐標系，從而找到與之相關的實化系統，再利用曹策問教授的非線性化方法，分別將三階特徵值問題及相應的lax對進行非線性化，從而得到bargmann勢和neumann勢約束系統，並證明它們是liouville意義下的完全可積系統，進而給出了bargmann系統和neumann系統的對合解。 -
In order to avoid the difficulty in computing the general inverse of flexible matrix in legendre transformation, this paper studies the mixed coordinates formulation for some quadrilateral plate bending elements instead of fully formulating in ( e, n ) plane for their original plane elasticity elements
為了克服legendre變換中對單元柔度陣求廣義逆的困難，對于原平面彈性單元是在參考坐標系中列式的情形，本文研究了在彎矩函數空間的混合坐標列式。
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