A note on the generalized subaffine elastica in r 2中廣義次仿射彈性曲線的一個注記
Membrana elastica laryngis 喉彈力膜
Effects of the composition of nutriwen solution and its physical and chemical properties on the growth of ficus elastica 營養(yǎng)液的組成及理化性質(zhì)對紅榕生長的影響
Moreover , the xocket attaches two pieces of 65 mn cushion steel slices , which guarantee the effective elastica with over 200 tunes cinnections 此外插腳附有二塊65錳彈簧鋼片,確保插接200次以上仍具有良好的彈性接觸。
The p - elastica , the critical point for the total polynomial curvature functional on those curves with a fixed length satisfying given boundary conditions , is discussed 主要研究了在具有固定長度、且滿足給定邊界條件的曲線上定義的總多項式曲率泛函的臨界點,即所謂p -彈性曲線。
The paper introduces a new inpainting method that bases euler " s elastica and curvature , according to some forms recently . at same time , i program a system for demonstrating it 本文在目前已有的幾種修描方法的基礎上,提出了一種基于歐拉彈性度和曲率的修描方法,并通過編譯系統(tǒng)程序,實際演示進行了論證。
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 -彈性曲線的結構方程的killing向量場并用積分將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(shù)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。