1) regular body
正则形体
2) regular simplex
正则单形
1.
The regular simplex was summarized,which pointed out new characters of regularsimplex.
指出了正则单形的新性质,如棱长为a的n维正则单形Ωn的体积V有下述公式1()!2Vn ann=+,任何n维正则单形?n的所有顶点角之和1 12 21n i(1)arcsin(1)(1 1)nin n∑=+α=++?+n,任何n维正则单形的所有二面角之和1 1≤i<∑j≤n+βij=???n 2+1arccos1/n,并借助于矩阵理论对已有的性质给出直观性的证明。
2.
This paper proves that the sum of the square of the distance of any paint on m-dimensional spherical surface whose centre is the centre of the regular simplex from each edge is an invariable,thus obtains that the supposition in paper[1] is tenable when i=m-1.
该文证明了M维欧氏空间中以正则单形的中心为球心M维球面上任一点至各条棱距离平方和为不变量,从而获得文[1]中的猜想当i=m-1时是成立的。
3.
This article gives the volume inequality of higher dimension simplex about interface and dihedral angle, then sets up regular simplex s volume formula which differs from definition.
给出了高维单形与界面有关的体积不等式和与二面角有关的体积不等式,进而建立正则单形的有别于定义式的体积公式。
3) canonical form
正则形式
1.
Higher order Routh equations of a non-holonomic mechanical system and its canonical form;
非完整力学系统的高阶Routh方程及其正则形式
2.
The feature of symmetric canonical form and the relation between the LU polynomial invariants and SLOCC classification in pure three-qubit case are presented at first.
首先介绍了三量子比特纯态情形对称正则形式的特点和LU多项式不变量与随机LOCC分类的关系。
4) regular spread
正则展形
1.
The paper showed the configurational properties of the Klein s representation in PG (5,q) of the regulus and regular spread of PG (3,q ) { (q≥5) is a odd integer}.
ｑ）（ｑ≥＝５是奇数）的半二阶曲面和正则展形在ＰＧ（５。
5) regular fractal
正则分形
6) regular manifold
正则流形
补充资料：凡事豫则立，不豫则废
1.谓做任何事情，事先谋虑准备就会成功，否则就要失败。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条