n-dimensional Euclidean space

On the angle between two dimensional planes in the n-dimensional Euclidean space

关于n维欧氏空间中两个任意维数平面之间的夹角

In this paper , a necessary optimality condition of problems with equality constraints is investigated by the implicit function theorem in n-dimensional Euclidean space . A new approach solving these problems is obtained .

本文用n维欧氏空间R~n中的隐函数定理研究等式约束问题的最优性必要条件，从而得出解这类问题的一种新途径。

The Modulus Distribution of Random Point in n-Dimensional Euclidean Space

n维欧氏空间随机点的模的分布

Ptolemy theorem is extended to n-dimensional Euclidean space for application .

最后，作为应用将托勒密定理推广到n维空间。

Two geometric inequalities in the n-dimensional Euclidean space

n维欧氏空间的两个几何不等式

Canonical Representations and Degree of Freedom Formulae of Orthogonal Tensors in n-Dimensional Euclidean Space

n维空间正交张量的典则表示和自由度公式

Generalized Pythagorean Theorem in n-dimensional Euclidean Space

关于n维欧氏空间上的广义勾股定理

T-S fuzzy systems can describe the complex nonlinear systems by a group of fuzzy set ; also it can approximate the continuous function in n-dimensional Euclidean space by any degree of accuracy .

T-S模糊系统可以通过一组模糊集合对复杂非线性系统进行有效的描述，并且可以以任意精度近似n维欧氏空间中的连续函数。

This paper defines a J-function in the n-dimensional Euclidean space , enumerates its use in mechanics and geometrically discusses the nature of extreme value of J-function in Euclidean space .

本文在n维欧氏空间定义了J函数，列举出了在力学中的应用；从几何角度论证了J函数在欧氏空间的极值性质；

Through the normalized gene-rators ' equations of rotor motion with respect to the center of inertia of power systems , the dynamic process of post-fault power system is analogized as a rolling ball with unit mass in the normalized potential valley of an n-dimensional Euclidean angular space .

通过归一化发电机转子运动方程，将故障后电力系统的动态过程比拟为在n维欧几里得角度空间势能谷中滚动的单位质量小球。

The classical butterfly theorem is extended to the case of general quadratic hypersurface in n-dimensional ( Euclidean ) space , and the inverse of this theorem is given .

利用距离几何方法将古典的蝴蝶定理推广到n维欧氏空间一般二次超曲面情形，同时也得到高维蝴蝶定理的逆定理。

Antithetic formulas of some inequalities for an n-dimensional simplex in the n-dimensional Euclidean space E ~ n are discused .

讨论了n维欧氏空间En中n维单形不等式的对偶式。

The theory of distance geometry and the analytic method is used to study the inequality for circumradius and inradius and for the volume and edge-lengths of an n-dimensional simplex in the n-dimensional Euclidean space E ~ n.

应用距离几何理论和解析方法研究了n维欧氏空间En中n维单形的外接球半径与内切球半径之间的不等式关系，以及单形体积与棱长之间的不等式关系。