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1)  Birkhoff orthogonality
Birkhoff正交性
2)  Birkhoff orthogonality
Birkhoff正交
1.
In this paper we carefully investigated some relationships between Birkhoff orthogonality duality map, and isosceles orthogonality, pythagorean orthogonality, and Roberts orthogonality, some characteristics of inner product spaces are also given.
讨论了Birkhoff正交性与对偶映射、等腰正交性、勾股正交性和Roberts正交性之间联 系,给出了内积空间的特征性质。
2.
In this paper, some results on point-wise difference between generalized orthogonalities in linear normed spaces are obtained; quantitative characterizatio- ns of the difference between Birkhoff orthogonality and isosceles orthogonality are presented.
本文主要研究了赋范线性空间中的一些广义正交性的点态差异,给出了等腰正交和Birkhoff正交性之间差异的数量刻画的一些相关结论,借助引入的函数λ( x , y)证明了赋范线性空间中双正交元的存在性,利用λ( X)从另一个角度对等腰正交和Birkhoff正交性之间差异进行了数量刻画,并对它的基本性质进行了研究。
3.
In this paper a quantitative characterization of difference between Birkhoff orthogonality and isosceles orthogonality is given by studying definitions and properties of generalized orthogonalities.
本文利用赋范线性空间中的一些广义正交性的概念及基本性质给出了等腰正交与Birkhoff正交之间差异的另一种数量刻画,引入了左Birkhoff直径和右Birkhoff直径的概念,并对它们的取值与空间几何性质的关系进行了研究。
3)  F Birkhoffs property
F-Birkhoff性质
4)  Birkhoff symmetry
Birkhoff对称性
1.
The problem of Birkhoff symmetry for generalized Birkhoffian systems is studied, and the corresponding conserved quantities are given.
研究广义Birkhoff系统的Birkhoff对称性问题,并给出此情形下相应的守恒量。
5)  relativistic Birkhoff systems
相对论性Birkhoff系统
1.
The paper presents the variational equations of relativistic Birkhoff systems.
建立相对论性Birkhoff系统的变分方程 ,由此证明 ,由已知的第一积分 ,可以构造一类积分不变量 ,并举例说明其应
6)  orthogonality [ɔ:θɔɡə'næliti]
正交性
1.
The investigation of source term in numerical grid generation equations on the influence of grid orthogonality;
数值网格生成方程中源项对网络正交性影响的研究
2.
Control of grid spacing and orthogonality in numerical generationof body-fitted curvilineal coordinate system;
贴体网格生成技术中正交性和空间疏密控制研究
3.
Note on H orthogonality and characterizations of inner product spaces;
H正交性的注解和内积空间特征
补充资料:正交性
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性质:如果两个函数ψ1(r)和ψ2(r)满足条件:∫ψ1*(r)ψ2(r)dτ=0,则称这两个函数相互正交。在量子力学中,有意义的物理量都可以用一个线性厄米算符来表示。量子力学表明:属于同一厄米算符的不同本征值的本征函数互相正交。这种性质称为本征函数的正交性。

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