1) 2-inner product space
2-内积空间
1.
In this paper,the reseach between 2-inner product spaceand the normal inner product space is well developed,and some theorems and properties about orthogonality of 2-inner product space are obtained.
将2-内积空间与一般内积空间的正交作对比研究,得出2-内积空间正交性的一些相关的定理及性质。
2) inner product spaces
内积空间
1.
Property P_λ and characterizations of inner product spaces;
P_λ性质和内积空间的特征
2.
Mobius maps in the inner product spaces;
内积空间中的Mbius变换
3.
In this paper characterizations of inner product spaces are obtained by studying properties of generalized orthogonalities, a quantitative characterization of the difference between Birkhoff orthogonality and Isosceles orthogonality is given, the definition of metric ellipse is introduced and basic properties of metric ellipses are studied.
本文利用赋范线性空间中的一些广义正交性给出了内积空间的一些特征性质,给出了等腰正交和Birkhoff正交性之间的差异的一种数量刻画,引入了Minkowski平面上度量椭圆的定义,并对它的基本性质进行了研究。
3) inner product space
内积空间
1.
Generalization of Some Characterisation Theorems of Inner Product Spaces and Their Remarks;
内积空间某些特征定理的推广和评注
2.
Note on H orthogonality and characterizations of inner product spaces;
H正交性的注解和内积空间特征
3.
Firstly,the generic conception of symmetry for a real sequence was proposed,and then,the symmetry-decomposition and the symmetric degree sequence are presented,which are deduced from the projection theory,the orthogonal-decomposition theory in inner product space and .
首先提出序列信号一般意义下的对称(反对称)概念,然后由内积空间中的投影、正交分解理论以及内积量化两个信号线性相关程度的特性导出任意信号的对称分解及对称程度序列,对称程度序列定量刻画了信号随对称点的变化时对称特性的变化,在此基础上得出任意序列信号对称程度的定量指标——对称性指标。
4) Hilbert inner product space
Hilbert内积空间
5) inner product Z-spaces
内积Z-空间
1.
This paper introduces the concept for inner product Z-spaces,it proves the spaces(X,‖·‖) obtained by introducing the sub-inner product into the sub-norm are Z-spaces.
引入了内积Z-空间的概念,证明了由次内积导入的次范得到的空间(X,‖。
6) weak inner product space
弱内积空间
补充资料:内积
内积(dot product,scalar product,inner product)是一种矢量运算。
设矢量a=[a1,a2,...an],b=[b1,b2...bn]
则矢量a和b的内积表示为:
(a,b)=a1×b1+a2×b2+……+an×bn
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条