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向量组     
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  vector group
     If vector group α1 ,α2 ,…,αr in linear space V is not linear,and can be linearly represented by β1 ,β2 ,…,βs ,e. (α1 ,α2 ,…,αr )=(β1 ,β2 ,…,βs ),A sxr ,then order A =r ?
     如果线性空间V中的向量组α1,α2,…,αr线性无关,且可以被β1,β2,…βs线性表出,即(α1,α2,…,αr)=(β1,β1,…,βs)As×r,则秩A=r。
短句来源
     Under the conditon of that linear independent vector group{α 1,α 2,...,α r}is able to be expressed by the {β 1,β 2,...,β s},we proved r≤s with the aid of coordinate matrix. By using elementary transformation we have proved the replacement theorem,and give a concrete method of replacement.
     借助于坐标矩阵 ,证明了若无关组 {α1,α2 ,…αγ}可由向量组 { β1,β2 ,… βs}线性表示 ,那么r≤s,并利用矩阵的初等变换证明了替换定理 ,同时给出了具体的替换方法
短句来源
     Matrix equation AX =0, AX = BSome solutions sufficiently want the condition to pass the commonly used system of equations theory to carry on the proof, This article uses the matrix or the vector group's theory, Produces a simple proof method.
     矩阵方程AX=0,AX=B有解的充要条件通常用方程组理论进行证明,本文用矩阵或向量组的理论,给出一个简单的证明方法.
短句来源
     Found Method of the Standard Vector Group in a Finitely Generated Fuzzy Vector Subspace
     有限生成模糊向量子空间中标准向量组的求法
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     This paper describes the relationship between the rank of matrix ,the rank of vector group and liner equation group in the linear algebra.
     讨论了线性代数中矩阵的秩、向量组的秩与线性方程组的秩之间的关系。
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  vectors group
     Several Kinds of the Methods for Judging the Related Linearity of Vectors Group
     向量组线性相关性的几种判定方法
短句来源
     Several Methods for Judging the Related Linearity of Vectors Group
     关于向量组线性相关的几种判定
短句来源
     Judging the vectors group's related linearity is the emphases in the teaching,and is also difficult point. This text induces out four kinds of methods of judging the related linearity. Studying the nexus between four kinds of judging methods,and the qualification which must be attention in application.
     探讨了矩阵的初等行变换、向量组的秩、用克莱姆法则或系数矩阵的秩判别齐次线性方程组有无非零解等相关知识在判定向量组线性相关性中的运用 ,归纳出判定向量组线性相关性的四种方法 ,研究了四种判定方法之间的关系及应用时应注意的题设条件 .
短句来源
  vector set
     Application of Recurrent Equation of Fuzzy Vector Set And Its Computer Realization
     模糊向量组循环方程的应用及其计算机实现
短句来源
     V is a vector sapce in the number field. α 1,α 2,…,α n-r is a fuzzy basis of V.This paper shows us a vector set of V_β 1,β 2,…,β n-r is the necessary and sufficient condition of fuzzy basis. Besides,the paper discusses the changing regularity of the vector set of fuzzy linear independence in the condition of fuzzy linear transformation.
     V是数域F上的一个向量空间 ,α1 ,α2 ,… ,αn -r为V的一个f 基 ,本文给出了V的一个向量组 β1 ,β2 ,… ,βn -r是V的f 基的充分必要条件 ,并讨论了线性变换下模糊线性无关的向量组的变化规律
短句来源
     In this paper,it proves one property of finite generated free modules over a commutative ring,which is generalized from funite dimensional vector space- Accoring to the discussion,it points out that the rank of a vector set can not be spread in finite generated free modules over a commutative ring.
     用交换代数及同调代数的方法证明了交换环上有限生成自由模的一个性质,并举例说明有限维向量空间中向量组的秩这一概念,不便于推广到交换环上有限生成自由模的情形.
短句来源
     A methed which can not only orthonormalize the vector set but also give UR decompositon of matrices is obtained.
     给出了一种既能将向量组标准正交化又同时能求出矩阵的 UR分解的方法 .
短句来源
     In this essay, it has been pointed out some doubts which occur in the course of proving the theorem that the vector set which is composed of the eigenvector of different eigenvalue of the square matrix is linear independence and put forward two different methods to prove theorem.
     对一些《线性代数》教材中关于“方阵的不同特征值对应的特征向量组成的向量组线性无关”的定理的证明过程提出了一些质疑,并给出了2种不同的证明方法.
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  vector groups
     CONDITIONAL AND PARTIAL CORRELATIONS OF RANDOM VECTOR GROUPS
     随机向量组的条件相关与偏相关
短句来源
     In this paper, two inferences and their applied examples about the equivalence and the linearly dependent of two vector groups by using its discriminating theorem 1,2 are presented.
     利用向量组线性相关性的基本判别定理1和2,给出了判别两个向量组等价及其线性相关性的推论1和2及应用举例。
短句来源
     The Discrimination for Linearly Dependent of Two Vector Groups
     两个向量组线性相关性的判别
短句来源
     According to the properties of elementary transformation, the corresponding maximum irrelevant group can be ascertained by means of undergoing the proper determinant transformation of the vector matrix,and therefore obtaining an orderiy matrix or stepping matrix from the primary vector groups.
     根据初等变换的性质,通过对向量矩阵进行适当的行(列)交换,化成秩矩阵(阶梯形矩阵),从中找出原向量组中对应的极大无关组。
短句来源
     This paper introduces the simple form of matrix and its linear-relevant analyses in vector groups, its applications and the solution of complete invertible matrix.
     本文介绍矩阵的简单形及其在向量组的线性相关性的分析和应用及整可逆阵的求法.
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  vector group
The rabbits were divided into 3 groups according to the different processing methods: transfected t-PA gene group (n=24), vector group (n=24) and blank control group (n=24).
      
The number of platelets accumulated in the vein grafts in gene group, vector group and blank control group was (85.04±21.58) 106, (225.87±85.13) 106 and (211.57±78.02) 106 respectively.
      
By Mackey's method all irreducible unitary representations of those groups are induced which are the semi-direct products of a 2m n-dimensional real vector group[Figure not available: see fulltext.] (mn) and[Figure not available: see fulltext.].
      
Let {A, ?d,α} be aC*-dynamical system, where ?d is thed-dimensional vector group.
      
Every topological vector space is a locally circled vector group.
      
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  vector set
Here, we present a versatile vector set for germline transformation based on the promiscuous transposons mariner, Hermes and piggyBac.
      
Tissue-specific gene silencing in vivo was performed with the vector set pHIBS and pUdsGFP.
      
This vector set is ideally suited for the construction of plant transformation vectors containing multiple expression cassettes and/or other elements such as matrix attachment regions.
      
The motion planning is based on a vision vector space (V2-Space), which is a unitary vector set that represents local collision-free directions in the image coordinate system.
      
It is shown that the induced feature vector set obtained by the proposed algorithm has less subject-dependency than other existing methods.
      
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  vector groups
Points of Bounded Height on Equivariant Compactifications of Vector Groups, I
      
Locally continuous multipliers for topological vector groups
      
On the distribution of points of bounded height on equivariant compactifications of vector groups
      
We define locally circled vector groups as topological vector spaces over the discrete real or complex numberfield with a neighbourhoodbase of zero consisting of circled sets.
      
Topological vector groups and especially locally circled vector groups have useful applications to topological vector spaces and this paper is intended as an introduction to the theory of locally circled vector groups.
      
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