With the development of the geometry of normed spaces, many scholars introduced the concept of generalized orthogonalities in general normed spaces.

随着赋范空间几何学的发展，许多学者在一般的赋范空间中引入了广义正交的概念。

A standardised test is only valid for the population on which the test is being normed .

一个标准的测试只对其相应的人群有效果。

We will describe how the instrument was developed and normed , and present some psychometric properties of the instrument.

我们将描述如何开发并赋范文书，并提出了一些心理特性的工具。

Finally some shortages currently available in the study of linear operators defined on probabilistic normed spaces are also pointed out.

亦指出了在概率赋范空间上线性算子理论研究中目前存在的不足。

This paper studies a fuzzy norm and its stratified properties. The completeness and separability of stratified space of fuzzy normed space are discussed.

研究一类模糊范数及其层次结构性质，对模糊赋范空间的层次空间的完备性、分离性等性质进行了讨论。

In this paper, we show that the isometry between the unit spheres of certain normed space and its dual space can be extended to a real linear isometry on the whole space.

本文证明了在一定条件下赋范线性空间与其共轭空间的单位球面之间的等距算子可以延拓为全空间的实线性等距算子。

The relation between the completeness of several local convex topology in normed vector space and that of induction topology of its unit ball was pointed out in this paper.

本文指出了赋范线性空间上的一些局部凸拓扑的完备性与它的单位球上相应的诱导拓扑的完备性之间的关系。

During studying the geometry of normed spaces, a potential subject is looking for a new concept in more general spaces to replace the concept of orthogonality in Euclidean space.

在赋范空间几何学的研究中，一个潜在的主题就是在更为一般的空间中寻找一个新的概念来替代欧式空间中的正交性。