内积空间

At the same time, the values range of two kinds of nonsquare constants and their values in real inner product space are given .

同时给出了两种点态非方常数的取值范围，和实内积空间中两种点态非方常数的值。

The first edition of an edition based on the made some additions and improvements, especially in the exemplary and the inner product space, done about a greater change.

本版在第1版的基础上作了一些增加和改进，尤其是在典范式和内积空间的讲述上做了较大的改变。

A vector inner product space defined by covariance is introduced in the above study, which greatly ease the theoretical analyst of principle and performance of image fusion methods.

在这一过程中引入了一种以协方差定义的图像向量内积空间，极大的简化了对融合原理和融合性能的分析。

In this paper,it is proved that a Minkowski plane with π/2-property,whose unit circle is Radon curve,is an inner product space .

证明了单位圆是Radon曲线，且具有π/2性质的M inkowski平面，是内积空间

In Chapter 3, we discuss the other orthogonalities in in Banach space, and give some properties of them. The emphase of the chapter is to study the relations of Birkhoff orthogonality, Isosceles orthogonality and Pythagorean orthogonality, and it is proved that if one of these induces another, then the space is an inner product space.

第三章研究其它几种正交性问题，讨论Birkhoff正交性、Isosceles正交性与Pythagorean正交性之间的关系，证明了：如果这三种正交性的任一种都蕴含另一种，那么此空间就是内积空间。

The topics are divided into eight chapters and two appendices, is to learn from the preamble of Chapter 1 to Chapter 7 of the preparation of knowledge, that is, inner product space Chapter 1 on the basis of Fourier series of knowledge Chapter 2 on Fourier Transform Chapter 3 introduced the Discrete Fourier Transform and Fast Fourier Transform Chapter 4 to Chapter 7 to discuss wavelet, with emphasis on construction of orthogonal wavelet appendix describes slightly complex themes, as well as a number of technical concepts or produce demo MATLAB graphics code

全书分为8章和2个附录，前言部分是学习第1章至第7章的准备知识，即内积空间；第1章讲解傅里叶系列的基础知识；第2章讲解傅里叶变换；第3章介绍离散傅里叶变换以及快速傅里叶变换；第4章至第7章讨论小波，重点在于正交小波的构建；附录部分则介绍稍微复杂的一些技术主题以及演示概念或产生图形的MATLAB代码。

At last, the Double Message Signal is proposed and the non-interfere condition is presented that the steering vectors are orthogonal in the weighted inner product space, with the inverse matrix of background covariance as the weighting matrix. The optimal polarization states are designed, according to the EM background.

最后，提出了一种双信息信号传输的方案并导出了无互扰传输的充要条件：两期望信号的信号矢量在以干扰噪声协方差矩阵的逆矩阵为加权矩阵的加权内积空间中正交，在给定的电磁环境下设计了双信息信号的极化状态。

In this paper, some inequalities which generalize the results of our predecessors are established in real or complex inner product spaces.

在实或复的内积空间中建立了几个不等式，推广了前人的工作。

In this paper,some inequalities which generalize the results of our predecessors are established in real or complex inner product spaces.

文摘：在实或复的内积空间中建立了几个不等式，推广了前人的工作。

In order that every Cauchy series has a limit, we have to confined ourselves to complete normed linear spaces.

为了能自由地谈论Cauchy 序列的极限，我们必须把自己局限在完备的内积空间，后者自动地是Banach 空间。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。