全部

1·In the inner product space, the existence theory of best approximation element was obtained and described.

获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理。

2·There are many different types of abstract space in mathematics, for examples, vector space, inner product space, etc.

数学上存在各种不同的抽象空间，例如向量空间，内积空间等。

3·In this paper, the vertical concept on the fuzzy inner product space is given and a regular vertical base is introduced.

文章给出了模糊内积空间中垂直的定义，介绍了正规正交基，然后利用它讨论了模糊内积空间的一些性质，并证明了勾股定理。

4·Based on the minimizing vector theorem of the fuzzy inner product space, the pseudo fuzzy orthogonal vector is defined and the projected theorem of the fuzzy inner product space is testified.

在模糊内积空间的极小化向量定理基础上，给出了向量拟模糊正交定义，并在模糊内积空间中证明了投影定理。

5·A few good necessary and sufficient conditions are given by using inner product and length relation for antisymmetric transformation on Euclidean space.

借助内积与长度与夹角给出了欧氏空间的变换是反对称变换的若干个充要条件。

6·A new adaptive variable neural network is developed according to the inner product feature of sample space. This method does not need to iterate learning.

根据样本空间的内积特性，提出一种无需迭代学习的自适应变结构神经网络。