| 1. | He also proposed and discussed the problem of isoperimetric figures .
他还提出并讨论过等周问题。 |
| 2. | Isoperimetric number of a kind of cartesian product graph
一类笛卡尔乘积图的等周数 |
| 3. | An elementary proof of the isoperimetric problem
等周问题的一个初等证明 |
| 4. | Programming of isoperimetric quadrilateral element based on matlab
的四结点等参元的编程 |
| 5. | The isoperimetric inequality in r
三维空间中的等周不等式 |
| 6. | Isoperimetric inequality for sphere and ellipsoid is discussed , and the isoperimetric inequality of some region satisfying certain conditions is given
摘要讨论球面和椭球面上的等周不等式，并给出了球面与椭球面上满足一定条件的区域的等周不等式。 |
| 7. | The main work carried out goes as following : ( 1 ) the stiffness matrix of the 8 - noded isoperimetric brick element with equivalent reinforcement membrane is carefully deduced
本文的主要工作如下： ( 1 )推导了带钢筋薄膜的八结点六面体等参数单元的单元刚度矩阵。 |
| 8. | And then , in this part , following the idea of topping [ 51 , 52 ] , we will show an isoperimetric inequality ( 6 . 3 . 1 ) on surfaces of non - positive gaussian curvature by means of the curve shortening flow on surfaces , this inequality can be considered as a generalization of the banchoff - pohl inequality in the euclidean plane
然后，仿照topping [ 51 ]和[ 52 ]利用平均曲率流证明等周不等式的想法，我们利用曲面上的曲线缩短流在gauss曲率非正的曲面上证明了一个等周不等式( 6 |
| 9. | In this paper the introduction of the use cohesive element in concrete structure is given , and a kind of 2 - d isoperimetric cohesive element is deduced . the fracture process of concrete notch beam is calculated by fortran programming . the result shows that the method is feasible
本文主要对内聚模型在混凝土断裂数值模拟中的应用做了一些讨论，并推导出了一种简单的二维六结点等参内聚单元，并用fortran语言编写了含有内聚单元的有限元程序对混凝土切口梁的断裂过程进行了计算。 |
| 10. | In the second part , we investigate the compact submanifolds m with the parallel isoperimetric section in the real space forms rm ( c ) and prove that if there exists a parallel isoperimetric section on m , and the sectional curvature of m is always greater than zero , then m is contained in a hyper - sphere ; and get that the gauss curvature of the compact surfaces m with constant mean curvature in constant curvature space r4 ( c ) is always greater than zero , then m is a totally geodesic surface or a sphere , where an isoperimetric on m means a unit normal vector field defined globally on m with m1 ( ) = constant
( 2 )研究了实空间形式r ~ m ( c )中具有平行等参截面的紧致子流形m ，证明了具有一平行等参截面的子流形m ，如果m的截面曲率恒正，则m包含在r ~ m ( c )的一个超球面内；对于常曲率空间及r ~ 4 ( c )中具有常平均曲率的紧致曲面m ，如果m的高斯曲率处处大于零，则m或为r ~ m ( c )中的全测地曲面或为一球面。这里m上的等参截面是m上整体定义的单位法向量场，使得m关于它的平均曲率m _ 1 ( )是常数。 |
