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不可约     
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  irreducible
     (2) if φ ∈ IBr_p(N) is an irreducible constituent of x_N, then φ_(N∩K) ∈ IBr_p(N∩K).
     (2) 若φ∈IBr_p(N)为xN的不可约分量,则φN∩K∈IBr_p(N∩K)。
短句来源
     For example, let A=(a_v)∈M_N(C),and A be irreducible If |a_ü|≥(?)
     如设A=(a_v)∈M_N(C),A是不可约矩阵。 若|a_ü|≥(?)
短句来源
     We prove that if f(x) has an irreducible quadratic factor g(x) with integer coefficients,which is monic,then either n≡2(mod3),a=-1,and g(x)=x~2+x+1 or n≡5(mod6),a=1 and g(x)=x~2-x+1.
     本文证明了:如果f(x)有首项系数等于1的二次整系数不可约因式g(x),则必有n≡2(mod3),a=-1,g(x)=x2+x+1或者n≡5(mod6),a=1,g(x)=x2-x+1.
短句来源
     If G(A)is 2-connected graph containing odd cycle,then C 2(A) is irreducible and primitive,and primitive exponent γ(C 2(A))≤n 2-2n-1.
     若G(A)是含奇圈的 2 连通图 ,则C2 (A)是不可约和本原的 ,它的本原指数γ(C2 (A) )≤n2 - 2n - 1。
短句来源
     If |O~π(G)L : L||N : N ∩ O_π(G)| is a π'-number, then all the irreducible constituents of x_N have π-degrees.
     如果|O~π(G)L:L||N:N∩O_π(G)|为π′-数,则xN的每个不可约分量都有π-次数。
短句来源
更多       
  irreducibility
     In this paper, we investigate the irreducibility of the n×n complex matrix and obtain the following result: For each A in Mn(C), let λ1, λ2,…,λm be all eigenvalues of A, where m≤n and λi≠λj if i≠j.
     对于Mn(C)(所有n×n矩阵的全体)中的不可约矩阵得到以下结果:对于任意A∈Mn(C),设λ1,λ2,…,λm为A的所有特征值,这里m≤n而且当i≠j时,λi≠λj.
短句来源
     Irreducibility Testing and Learning Algorithms of Multivariate Polynomials Based on Algebra Neural Networks Model
     基于代数神经网络的多元多项式不可约判定及学习算法
短句来源
     In chapter two, we present some new criterions by choosing the elements of positive diagonally matrix D and using the relations of the matrices A and B (where B = M(A) + M T(A)). At the same time, the judging methods for generalized strictly diagonally dominant matrix with the irreducibility and a chain of nonzero elements are presented.
     第二章通过选取正对角矩阵D的对角因子,并利用矩阵A和B的关系得到了几则新的判据(这里B = M(A) + M T(A)),同时也得出了不可约矩阵、具有非零元素链矩阵的相应结论,并说明了其实用性。
短句来源
     Some criterions and properties were presented for a matrix to be a nonsingular H-matrix using matrix's concepts of irreducibility, α-diagonally dominance and α-doubly diagonally dominance and the method of G-function and matrix's directed graph.
     利用矩阵的不可约、α-对角占优、α-双对角占优等概念,一方面,通过G-函数及矩阵有向图的方法给出非奇异H-矩阵的判别准则及相关性质;
短句来源
     In this paper we discuss the block weak irreducibility of partition matrices and nonsinyulary of block weak irreducible diagonally dominant matrices, give corresponding spectral inclusion regions, improve the Brualdi's theorem and corresponding results in [2] and [3].
     本文讨论了分块矩阵之块弱不可约对角占优的概念以及非奇异性的判定定理,给出了相应的谱的包含域,改进了Brualdi定理及[2]、[3]中的相应结果。
短句来源
更多       
  an irreducible
     (2) if φ ∈ IBr_p(N) is an irreducible constituent of x_N, then φ_(N∩K) ∈ IBr_p(N∩K).
     (2) 若φ∈IBr_p(N)为xN的不可约分量,则φN∩K∈IBr_p(N∩K)。
短句来源
     We prove that if f(x) has an irreducible quadratic factor g(x) with integer coefficients,which is monic,then either n≡2(mod3),a=-1,and g(x)=x~2+x+1 or n≡5(mod6),a=1 and g(x)=x~2-x+1.
     本文证明了:如果f(x)有首项系数等于1的二次整系数不可约因式g(x),则必有n≡2(mod3),a=-1,g(x)=x2+x+1或者n≡5(mod6),a=1,g(x)=x2-x+1.
短句来源
     In 1995 Isaacs showed that if |G| is odd then χ_H has an irreducible constituent φ′ with φ′(1) dividing χ(1),and φ~G has an irreducible constituent χ′ with χ′(1) dividing φ~G(1).
     Isaacs在1995年证明了:当G为奇数阶群时,存在χH的一个不可约分量φ′使得φ′(1)整除χ(1),以及存在φG的一个不可约分量χ′使得χ′(1)整除Gφ(1).
短句来源
     Bounds for the smallest eigenvalue of an irreducible nonsingular M-matrix
     Bounds for the smallest eigenvalue of an irreducible nonsingular M-matrix 关于不可约非奇M—矩阵最小特征值的界
短句来源
     f -1(x) has an irreducible quadratic factorization g(x) in Z witch is monic,then either n≡2( mod 3),a=-1,g(x)=x\+2+x+1,or n=5,a=±6,or n=13,a=±90,g(x)=x\+2±x+2.
     若 f- 1 (x)在 Z [x]中有二次不可约因式 ,除了 n≡2 (m od 3) ,a =- 1,g(x) =x2 +x +1情况外 ,必有 n =5 ,a =± 6或 n =13,a =± 90 ,且 g(x) =x2 ± x +2 .
短句来源
更多       
  irreducible matrix
     In this paper we consider some beautiful properties of the generalized Perron complement of a nonnegative and irreducible matrix A and it is shown that the generalized Perron complement of a matrix A is still an irreducible inverse M-matrix when A is an irreducible inverse M-matrix.
     本文给出非负不可约矩阵A 的广义Perron补若干性质,并且证明当矩阵A是不可约逆M-矩阵,其广义Perron补也是不可约逆M-矩阵.
短句来源
     For a nonnegative irreducible matrix A with spectral radius ρ,Meyer introduced Perron Complements to solve the Perron eigenvector problem.
     对于一个具有谱半径ρ的非负不可约矩阵 A,Meyer 引进了 Perron补的概念去解决 A 的 Perron 向量问题,Meyer 的方法是个典型的 Divide-and-Conquer(“分而制之”)的方法.
短句来源
     The concept of the Perron complement of a nonnegative and irreducible matrix was introduced by Meyer in 1989 and was used to construct an algorithm for computing the stationary distribution vector for Markov chain.
     1989年Meyer为计算马尔可夫链的平稳分布向量构造了一个算法,首次提出非负不可约矩阵的Perron补的概念.
短句来源
     Equivalence of the Definitions about Irreducible Matrix and Its Applications
     关于不可约矩阵定义的等价性及其应用
短句来源
     Some New Properties of A Nonnegative Irreducible Matrix
     非负不可约矩阵的几个新性质
短句来源
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  irreducible
An algebraicG-varietyX is called "wonderful", if the following conditions are satisfied:X is (connected) smooth and complete;X containsr irreducible smoothG-invariant divisors having a non void transversal intersection;G has 2r orbits inX.
      
We find presentations for the irreducible crystallographic complex reflection groupsW whose linear part is not the complexification of a real reflection group.
      
The finite irreducible linear groups with polynomial ring of invariants
      
We prove the following result: LetG be a finite irreducible linear group.
      
For the case of positive characteristic we use the classification of finite irreducible groups generated by pseudoreflections due to Kantor, Wagner, Zalesski? and Sere?kin.
      
更多          
  irreducibility
The irreducibility of a subspace U ?= V under the κα implies that, for generic values of the parameter, the braid group Bg acts irreducibly on U.
      
We use this to disprove a conjecture of Kwon and Lusztig stating the irreducibility of quantum Weyl group actions of Artin's braid group Bn on the zero-weight spaces of all simple Usln-modules for n≥4.
      
Under the condition of irreducibility, it is show that this is equal to the spectral radius of Jacobi matrix of its generating function.
      
The question of irreducibility is considered, and a classification of bilinear invariant functionals, intertwining operators, and Hermitian invariant functionals is obtained.
      
Linear irreducibility of one form of differential equations
      
更多          
  an irreducible
Suppose thatG0 is the analytic automorphism group of an irreducible bounded symmetric domain and that some openG0-orbit onZ is a semisimple symmetric space.
      
We prove that the group of invertible elements of an irreducible algebraic monoid is an algebraic group, open in the monoid.
      
More generally, we prove that if Γ is an irreducible arithmetic non-cocompact lattice in a higher rank group, then Γ containsf·g·p·d·f groups.
      
Given an irreducible module for the affine Hecke algebraHn of type A, we consider its restriction toHn-1.
      
The result generalizes and implies the classical "branching rules" that describe the restriction of an irreducible representation of the symmetric groupSn toSn-1.
      
更多          
  irreducible matrix
The needed two-particle irreducible matrix amplitude is taken from lowest-order Chiral Perturbation Theory in a relativistic formalism.
      
In this paper, we strengthen this result by showing that the log-convexity property is also necessary when the Perron root is required to be convex for any nonnegative irreducible matrix.
      
A computational method for the dominant root of a non-negative irreducible matrix
      
Note on the computation of the maximal eigenvalue of a non-negative irreducible matrix
      
We prove the convergence of Wielandt's method in the computation of the maximal eigenvalue and eigenvector of a non-negative irreducible matrix.
      
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