euler transformation 中文意思是什麼
euler transformation
解釋
歐拉變換- euler : 奧伊勒
- 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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Coordinate transformation, matrix, vectors, newton ' s law, conservation theorems, simple harmonic oscillator, non - linear oscillations, gravitation, euler ' s equation when auxiliany condition are imposed, the delta notation, lagrangian and hamilitonian dynamics, central - force motion, dynamics of a system o f particles, motion of noninertial reference frame, dynamics of rigid body, coupled oscillations, orthogonality of the eigenvectors, continuous system
座標變換、矩陣、向量、牛頓定律、守恆定律、簡諧振動、非線性振動、引力、尤拉式方程式及附加條件、符號、拉格蘭及漢米爾頓力學、中心運動、多粒子系統動力學、非慣性參考座標運動、剛體動力學、耦會振動、本微向量正交性、連續系統。 -
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。
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