A note on the generalized subaffine elastica in r 2中广义次仿射弹性曲线的一个注记
Membrana elastica laryngis 喉弹力膜
Effects of the composition of nutriwen solution and its physical and chemical properties on the growth of ficus elastica 营养液的组成及理化性质对红榕生长的影响
Moreover , the xocket attaches two pieces of 65 mn cushion steel slices , which guarantee the effective elastica with over 200 tunes cinnections 此外插脚附有二块65锰弹簧钢片,确保插接200次以上仍具有良好的弹性接触。
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长度、且满足给定边界条件的曲线上定义的总多项式曲率泛函的临界点,即所谓p -弹性曲线。
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 本文在目前已有的几种修描方法的基础上,提出了一种基于欧拉弹性度和曲率的修描方法,并通过编译系统程序,实际演示进行了论证。
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 对于正则曲线的情形,我们发现了两个用于求解p -弹性曲线的结构方程的killing向量场并用积分将p -弹性曲线在一个柱面坐标系中表示出来,而对仿射星形曲线的情形,我们用积分方法解出了欧拉-拉格朗日方程,利用killing向量场及线性李代数s1 ( 2 , r ) 、 s1 ( 3 , r )和s1 ( 4 , r )的分类将高阶结构方程降为一阶线性方程,因此我们用积分完全解出了中心仿射p -弹性曲线。