regular astroid

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。

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。

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。

Probing again into the Invariable of Regular Simplex in M-dimensional Ou s Space;

再探M维欧氏空间中正则单形的不变量

Learning Rates of Least-square Regularized Regression with Polynomial Kernels on a Simplex

单纯形上多项式核最小二乘正则化算法的逼近阶

4-regular Simple Graph of Order n not Necessarily Contains 3-regular Subgraph of Order n;

n阶4正则简单图不一定含n阶3正则子图

The measure of plane of a simple arc in a unit square;

单位正方形内一个简单弧的平面测度

Infinite Families of One-regular Cayley Graphs with Small Valency;

单群上小度数1-正则Cayley图的无限族

Some Properties on Regular ～*-Semigroups and One Sided Homomorphisms on Semigroups;

正则～*-半群的性质和半群的单边同态

A Simple Regularization Method for the Cauchy Problem of Helmholtz-type Equations

Helmholtz型方程柯西问题的一种简单正则化

On Simple Singular YJ-injective Modules and Characterizations of Regular Rings

关于单奇异YJ-内射模与正则环的刻画

On the Simplex Algorithm with Largest Improvement Rule;

关于使用最大改进规则的单纯形算法

On the Principles of Formal Inheritance of Diachronic Identification of Single Chinese Characters;

谈汉字单字历时认同的形体传承原则

Deviating from the normal or common order, form, or rule.

不规则的偏离正常的一般的顺序、形式或规则的

Simple Structure and Simple Balance: Psychological Balance Formed by the Principle of Musical Structure (Yinyue jiegou yuanze xingcheng de xinli pingheng xiaoying chutan - jiandan jiegou yu jiandan pingheng yuanze );

音乐结构原则形成的心理平衡效应初探——简单结构与简单平衡原则

Crescent or irregular shape of microspore at stage of central nucleus.24.

单核中央期小孢子呈月牙形和不规则形状。

Distance-regular Graphs with Kite-free or Triangle-free

不含kite或三角形的距离正则图

Some Studies about Affine Algebraic Regular Monoid and Affine Regular Monoid Scheme

仿射代数正则幺半群与仿射正则幺半群概形的若干研究

Concept of Quasi Sine of Volume angle of Simplex and It′s Application

关于单形空间角的准正弦概念及应用

Implementation of Revised Simplex Method Based on GPU;

基于GPU的修正单纯形方法的实现

Its only aim was to give rules for distinguishing between correct forms and incorrect forms.

它的唯一目的是要订出一些规则，区别正确的形式和不正确的形式。