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Suppose F is a field, and n, p are integers with 1 ≤ p 〈 n. Let Mn(F) be the multiplicative semigroup of all n × n matrices over F, and let M^Pn(F) be its subsemigroup consisting of all matrices with rank p at most. Assume that F and R are subsemigroups of Mn(F) such that F M^Pn(F). A map f : F→R is called a homomorphism if f(AB) = f(A)f(B) for any A, B ∈F. In particular, f is called an endomorphism if F = R. The structure of all homomorphisms from F to R (respectively, all endomorphisms of Mn(F)) is described. 相似文献
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设F是R2中的子集,则下列不等式成立Hs(F)Bs(F)(2 33)sHs(F)其中s=d imH(F),Bs(F)如(6)式中所定义. 相似文献
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Let (M, F ) be the product complex Finsler manifold of two strongly pseudoconvex complex Finsler manifolds (M 1 , F 1 ) and (M 2 , F 2 ). In this paper, we obtain the relationship between the Chern Finsler connection coefficients Γ i ; k associated to F and the Chern Finsler connection coefficients Γ a ; c , Γα ; γ associated to F 1 , F 2 , respectively. As applications we prove that, if both (M 1 , F 1 ) and (M 2 , F 2 ) are strongly Ka¨hler Finsler (complex Berwald, or locally complex Minkowski, respectively) manifolds, so does (M, F ). Furthermore, we prove that the holomorphic curvature K F = 0 if and only if K F1 = 0 and K F2 = 0. 相似文献
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Chevalley群的一类子群的研究 总被引:1,自引:0,他引:1
设G=L(F)是特征不为2的域F上Chevalley群,型为B1(l≥4),Cl(l≥3),Dl(l≥5),E6,E7,E8或F4之一.当L(F)型为B4或F4时还假设F=F2设Lα1是L(F)的一类Levy子群.本文决定Lα1的正规化子在L(F)中的极大性. 相似文献
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目的探讨罗哌卡因联合芬太尼行硬膜外分娩镇痛的最佳有效浓度。方法选择120例初产妇接受L2-3硬膜外穿刺置管拟行分娩镇痛.按随机数字表法分为0.15%罗哌卡因联合1ug/ml芬太尼(F1组)、0.12%罗哌卡因联合1ug/ml芬太尼(F2组)、0.10%罗哌卡因联合1ug/ml芬太尼(F3组)及0.08%罗哌卡因联合1ug/ml芬太尼(F4组)。监测镇痛过程中阻滞平面和运动阻滞发生情况、VAS、缩富素使用增加例数等。结果F1、F2组运动神经阻滞发生的例数多于F3、F4组(P〈0.05)。F1组缩宫素使用增加例数多于其它3组(P〈0.05)。不同罗哌卡因浓度比较,F4组起效时间最长,明显长于F1、F2、F3组(P〈0.05)。F4组给药后30、60、90min时的VAS明显高于F1、F2、F3组,停药时的VAS明显高于F1组(P〈0.05)。F4组镇痛后30min内第3次宫缩开始每次宫缩对应的VAS明显高于F1、F2、F3组(P〈0.05)。结论罗哌卡因联合1ug/ml芬太尼用于分娩镇痛时,010%是最佳有效浓度,镇痛效果好,运动阻滞轻,安全性高。 相似文献
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设F,K为域,GLn(F),SLn(F)分别表示F上的n级一般线生群和n级特殊线性群.PGLn(F),PSLn(F)分别表示F上的n级射影一般线性群和n级射影特殊线性群.φ:SLn(F)→PGLn(K),n≥3为非平凡同态.本文确定了当K的持征为2时η的—个性质. 相似文献
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Zi Li CHEN A. W. WICKSTEAD 《数学学报(英文版)》2007,23(3):457-466
We present here that F(E,F), the space of all r-compact operators from E into F, is a generalised sublattice of L^r(E, F) for arbitary Banach lattices E and F, and that the characterization of the regular norm on F(E, F) is order continuous. Some conditions for F(E, F) to be a KB-space or a band in .L(E, F) are also provided. 相似文献
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用投影寻踪自助法进行多元分布函数的拟合优度检验 总被引:4,自引:0,他引:4
文中记 F 为 q 维分布函数,P 是概率测度,P_F 是由分布函数 F 所规定的概率测度.在进行统计推断时,常常需要知道统计量 R(X_1,…,X_n;F)的分布 J_n(x,F)=P_F(R(X_1,(?),X_n;F)≤x),其中 X_1,…,X_n i i d~F,i i d 表独立同分布,或者用 R(X_1,…,X_n;F)的极限分布 J(x,F).但是 J_n(x,F)和 J(x,F)经常与 F 有关,即使 F 知道,J_n(x,F)和 J(x,F)的确切表达式大多是不知道的.倘若 F 未知,就更难知道 J_n(x,F) 相似文献
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对两个半光滑函数之和F(x)=F1(x)+F2(x),其中F1,F2均为半光滑函数,给出了求解F(x)=0的一种广义牛顿法.算法在每一迭代点处分别计算中一个元素,而不需计算中元素. 相似文献
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Suppose F0 is an arbitrary triangle and F is a kind of Sierpinski carpet generated by F0.We construct a projection mapping to obtain the lower bound of the Hausdorff measure of F ;meanwhile the upper bound of the Hausdorff measure of F is calculated by the general covering. 相似文献
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设F是一个特征2且至少含有5个元素的域,n≥2是一个正整数.令Mn(F)和Tn(F)分别F上的全矩阵空间和上三角矩阵空间.我们首先刻划从Tn(F)到Mn(F)的保矩阵群逆的所有线性单射,由此从Tn(F)到自身的所有保矩阵群逆的线性双射被刻划. 相似文献
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An additive functor F:A→B between additive categories is said to be objective,provided any morphism f in A with F(f)=0 factors through an object K with F(K)=0.We concentrate on triangle functors between triangulated categories.The first aim of this paper is to characterize objective triangle functors F in several ways.Second,we are interested in the corresponding Verdier quotient functors VF:A→A/Ker F,in particular we want to know under what conditions VF is full.The third question to be considered concerns the possibility to factorize a given triangle functor F=F2F1with F1a full and dense triangle functor and F2a faithful triangle functor.It turns out that the behavior of splitting monomorphisms and splitting epimorphisms plays a decisive role. 相似文献
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Let F be a field of characteristic not 2, and let A be a finite-dimensional semisimple F -algebra. All local automorphisms of A are characterized when all the degrees of A are larger than 1. If F is further assumed to be an algebraically closed field of characteristic zero, K a finite group, F K the group algebra of K over F , then all local automorphisms of F K are also characterized. 相似文献
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Let M be a connected orientable compact irreducible 3-manifold. Suppose that αM consists of two homeomorphic surfaces F1 and F2, and both F1 and F2 are compressible in M. Suppose furthermore that g(M, F1) = g(M) + g(F1), where g(M, F1)is the Heegaard genus of M relative to F1. Let Mfbe the closed orientable 3-manifold obtained by identifying F1 and F2 using a homeomorphism f : F1 → F2. The authors show that if f is sufficiently complicated, then g(Mf) = g(M, αM) + 1. 相似文献
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杨闻起 《数学的实践与认识》2011,41(23)
设A为数域F上的n级矩阵,记F[A]={f(A)|f(x)∈F[x]},它显然是F~(n×n)的子空间.讨论了F[A]的基和维数,引入了f(A)的坐标和F[A]的因式子空间的概念,给出了用因式子空间表示F[A]的几个定理,刻画了F[A]的结构. 相似文献