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1)  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。
2)  Birkhoff orthogonality
Birkhoff正交性
3)  orthogonal design
正交
1.
In this paper, the effect of composition of transition metal oxides obtained by the orthogonal design , atmosphere and the nucleation agent on the gloss of metal glazes in ferric oxides was discussed.
采用廉价的铁系氧化物,研究了正交设计的过度金属氧化物组成、气氛、晶核剂等因素对釉面金属光泽的影响。
2.
The second and the third step reaction conditions of the synthesis of L-carvone from d-limonene were studied by the use of orthogonal design, and the whole yield of these two reactions is more than 80% by the use of new reaction conditions.
利用正交法对d - 艹宁 烯合成L -香芹酮的第二步 (脱氯化氢 )和第三步 (水解反应 )反应的工艺条件进行分析 ,得到了较为理想的工艺 ,使二、三两步反应总收率达 80 %以上。
3.
In this experiment,orthogonal design with three levels of four factors(Taq DNA polymerase, dNTPs,primer and Mg2+) was used to optimize the pepper ISSR-PCR reaction system.
本试验利用正交设计,以辣椒SS69为试材,从Taq酶、dNTPs、引物、Mg2+4因素3水平来优化辣椒ISSR-PCR反应体系。
4)  Orthogonal [英][ɔ:'θɔgənl]  [美][ɔr'θɑgənəl]
正交
1.
Design of Two-direction Orthogonal Partially Prestressed Concrete Beam with 32.0m × 17.0m Span;
32.0m×17.0m跨双向正交部分预应力混凝土梁的设计介绍
2.
Matri representation of the orthogonal complement in euclidan space;
欧氏空间中正交问题的矩阵描述
3.
New Definition of the Conditional Number of a Matrix──Nonorthogonal Degree;
矩阵条件数的新定义──矩阵的非正交度
5)  orthogonality [ɔ:θɔɡə'næliti]
正交
1.
Completeness and orthogonality of scale transformation and its proof;
尺度变换函数的完全性和正交性及其证明
2.
Regularity and orthogonality of a new family of bivariate wavelets;
一类新的二元小波的正则性及正交性
3.
Orthogonality For Defining Hermite-polynomial;
利用正交性定义Hermite多项式
6)  quadrature [英]['kwɔdrətʃə]  [美]['kwɑdrətʃɚ]
正交
1.
This paper analyzed the issues about the sideband and local oscillator leakage of a direct quadrature conversion transmitter, educed the quantitative relationship of the amplitude and phase imbalance in the modulation signal as well as local oscillator signal and the sideband and local oscillator leakage, and simulated it.
本文分析了直接正交上变频无线发射机中的边带和本振泄漏问题 ,导出了调制信号和本振信号的幅度和相位不平衡度与发射机的边带和本振泄漏抑制能力之间的定量关系 ,并进行了仿真。
2.
The theory of digitial calibration for the gain and phase mismatches between the in-phase and quadrature branches is discussed.
讨论了正交双通道幅相不一致的数字校正原理 ,提出了两种获得幅相误差函数的方法 ,包括最小二乘法和改进的Gram Schmidt正交化方法 。
补充资料:Birkhoff遍历定理


Birkhoff遍历定理
Bilkhoff eigodic theorem

  Bi浅h甫遍历定理[Bi血h成e吧诚c the峨m;血p以,峥a邓门口的.。旧T.娜限Ma】 遍历理论(erg曲c theory)中最重要定理之一关于具有。有限测度拜的空间X上的自同态T,Birkhoff的遍历定理是指,对于任意函数f任L,(x,群),极限 lrm生咬,了(:*二、一云二、 n神的n人二万(时卿于扫慎(tim“avera罗)或毋热道于挣填(avera罗alonga trajectory))fL乎处处存在(对几乎所有x任x).此外,厂。Ll(x,拌);且若拜(X)<的,则有 夕“一夕d卜关于具有,有限测度料的空间X上的可测流(measura-ble flow)毛不},Birkhoff的遍历定理说,对于任意函数f‘LI(x,时,极限 、十矛(:·)‘一五·,几乎处处存在,且和了有相同的性质. Birkhoff的定理首先由G.D.Birkhoff提出和证明(【1」).接着有各种不同的改进和推广(有一些定理,它们包含Birkho任定理作为特例,还包含j些在概率沦中被称为遍历定理的稍许不同类型的命题(见遍历定理)(ergxlicthcorem);此外,还有关于变换半群的更一般的遍历定理([2】)).Birkhoff的遍历定理及其推广,由于它们考虑的是沿着几乎每一个别轨道所取平均的存在性,因此被称为个体渗巧牢浮(individuale粤心ic‘heorems),以区别于苹甘穆事牢浮(s‘a‘15‘i“1 er网ic‘heorems)一von Neumann澳巧宇浮(von Neumann ergodie‘he-。rem)及其推广.(在非俄文文献中,名词“逐点遍历定理”经常用来强调,平均是几乎处处收敛的.)
  
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