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TranslationMobile

"regular" in Chinese : adj. 1.有規(guī)則的，有規(guī)律的；有秩序的，井井有條的， ...
"curve" in Chinese : n. 1.曲線；彎曲；彎曲物。 2.曲線規(guī) (＝Fren ...
"regular analytic curve" in Chinese : 正則解析曲線
"regular integral curve" in Chinese : 正則積分曲線
"on a regular" in Chinese : 以定期的方式
"regular" in Chinese : adj. 1.有規(guī)則的，有規(guī)律的；有秩序的，井井有條的，整齊的；正規(guī)的，正式 ...
"a curve" in Chinese : 擬合曲線
"curve" in Chinese : n. 1.曲線；彎曲；彎曲物。 2.曲線規(guī) (＝French curve)； ...
"on the curve" in Chinese : 在彎道上
"s curve" in Chinese : s 型曲線; s曲線; s型曲線
"s-curve" in Chinese : s型曲線; s形曲線; 曲線
"s-curve s" in Chinese : 形曲線
"t curve" in Chinese : t型曲線
"t t t curve" in Chinese : 等溫轉(zhuǎn)變曲線
"t-s curve" in Chinese : 溫鹽圖解

This paper deals with the regular curves in a riemannian manifold with constant sectional curvature and the affine starlike curves in r2 , r3 and r4
本文研究了具有常截面曲率的黎曼流形中的正則曲線及二、三、四維空間中的仿射星形曲線。
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(fā)現(xiàn)了兩個用于求解p -彈性曲線的結(jié)構(gòu)方程的killing向量場并用積分將p -彈性曲線在一個柱面坐標(biāo)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(shù)s1 ( 2 ， r ) 、 s1 ( 3 ， r )和s1 ( 4 ， r )的分類將高階結(jié)構(gòu)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。