正則坐標 的英文怎麼說
中文拼音 [zhēngzézuòbiāo]
正則坐標
英文
canonical coordinates-
For the regular curves, we find two killing fields for the purpose of integrating the structural equations of the p - elastic curves and express the p - elastica by quadratures in a system of cylindrical coordinates. for the star - like affine curves, we solve the euler - lagrange equation by quadratures and reduced the higher order structure equation to a first order linear system by using killing field and the classification of linear lie algebra sl ( 2, r ), sl ( 3, r ) and sl ( 4, r ). we solve the centroaffine p - elastica completely by quadratures
對于正則曲線的情形，我們發現了兩個用於求解p -彈性曲線的結構方程的killing向量場並用積分將p -彈性曲線在一個柱面坐標系中表示出來，而對仿射星形曲線的情形，我們用積分方法解出了歐拉-拉格朗日方程，利用killing向量場及線性李代數s1 （ 2 ， r ） 、 s1 （ 3 ， r ）和s1 （ 4 ， r ）的分類將高階結構方程降為一階線性方程，因此我們用積分完全解出了中心仿射p -彈性曲線。In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統，討論四階特徵值問題所對應的bargmann系統和neumann系統，藉助于lax對非線性化及euler - lagrange方程和legendre變換，構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系，將由lagrange力學描述的動力系統轉化為辛空間（ r ~ （ 8n ） ， ）上的hamillton正則系統。Here, the aircraft is in extreme flight conditions that is high angles of attack and high angular rates. it can encounter severe nonlinear effects. detailed descriptions of the flight dynamic, aerodynamic models, inverse dynamic and the choice of the control variable are given
2 、應用經典的微分幾何方法研究了一般的飛行狀態下飛機飛行的控制律，指出不利用矢量推力的飛行系統的控制方程一般都是可以逐步通過動態狀態反饋，適當的坐標變換和正則靜態反饋等三個步驟得以線性化。On the one hand, the linear interpolation in ( x, y ) plane makes it easy to separate the three - dimensional null subspace corresponding to rigid body motions, hence what is left to do is just to compute the inverse of a symmetric definite submatrix numerically. in this way the numerical difficulty in computing general inverse can be avoided
在物理坐標系中的線性插值函數便於將三個剛體模式分離出來，從而只需計算對稱正定子陣的逆，避免了求廣義逆的數值困難；在參考坐標系中的高階插值函數則可保持原平面彈性單元的列式方式。Consider three mutually perpendicular coordinate lines ( the -, -, and - axes ) with their zero point at a common point, called the origin. the three axes form the right - handed system, that is, if the fingers of the right hand are curled so that they curve form the positive - axes toward the positive - axes, the thumb points in the direction of the positive - axes
空間中三條相互垂直的坐標線，它們的零點相互重合，稱為原點，記為.坐標軸遵循右手法則，即以右手握住-軸，當右手的四個手指從正向-軸以角度轉向-軸時，大拇指的指向就是-軸的正向Requirements of the canonical quantization in different coordinates
不同坐標系中的正則量子化要求分享友人