Geometric inequality for pedal simplex and its applications;
垂足单形的一个几何不等式及应用
Some properties for k-dimensional middle sections of a simplex and their applications;
关于单形k维中面的性质及其应用
Optimization of the operating conditions on DFPD in gas chromatograph by using simplex method;
用单形法对气相色谱双焰火焰光度检测器操作条件的优化
Geometric inequality for pedal simplex and its applications;
垂足单形的一个几何不等式及应用
Generalization of inequalities for volumes of pedal simplexes;
关于垂足单形体积不等式的推广
Two inequalities for pedal simplex and applications;
关于垂足单形的两个不等式及其应用
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。
A Inequality for volumes of tangent points simplex and escrib points simplex;
切点单形与旁切点单形体积的不等式
Inequalities for volumes of escenters simplex and tangent points simplex;
关于旁心单形与切点单形体积的不等式
Then the simplex ?with the tangent points as vertexes is called the tangent points simplex.
设A是n维欧氏空间E~n中的一个非退化单形,它的切点单形为B,又以A的顶点和它的内切球心的连线与A的n+1个侧面的交点为顶点的单形设为D。
The problem of geometric inequalities for Ceva simplex by analytic method and geometric theory is studied.
利用解析方法和几何不等式理论,研究了Ceva单形的几何不等式问题,建立了单形和它的Ceva单形外接球半径与内切球半径两个不等式。
In this paper,the anthor study problem of geometric inequalities for Ceva simplex by analytic method and geometric theory.
利用解析方法和几何不等式理论,研究了Ceva单形的几何不等式问题,建立了单形和它的Ceva单形外接球半径与内切球半径的两个不等式。
To study local influence of the data cases on the Score statistic for the test of varying dispersion in the nonlinear model of simplex distribution,this paper develops the local influence on the score test statistic under perturbation in the response variable and explanatory variables based on gradient method.
为了研究数据对于单形分布非线性模型变离差检验的Score统计量的局部影响,该文利用梯度方法分别研究了因变量及自变量的微小扰动对于该模型的Score检验统计量的局部影响,相应得到了度量最大局部影响的诊断统计量。
This system implemented factor demarcation of geological sensor,data measurement of earth pressure in the menu form.
该系统以菜单形式实现地质探头的系数标定、土层压力的测量。
Pure pixels can be extracted using a method of simplex, which is a concept in convex geometry, and thus accurate hyperspectral image classification and spectral unmixing can be realized.
将 n个波段的高光谱图像像元与 n维空间里的散点联系起来 ,结合凸体几何中单形体概念研究高光谱遥感图像纯净像元提取方法 ,实现图像的地物精确分类识别及像元波谱分解。