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1.
Write p
1, p
2…p
m
for the permutation matrix δ
pi, j
. Let S
n
(M) be the set of n×n permutation matrices which do not contain the m×m permutation matrix M as a submatrix. In [7] Simion and Schmidt show bijectively that |S
n
(123) |=|S
n
(213) |. In [9] this was generalised to a bijection between S
n
(12 p
3…p
m
) and S
n
(21 p
3…p
m
). In the present paper we obtain a bijection between S
n
(123 p
4…p
m
) and S
n
(321 p
4…p
m
).
Revised: March 24, 1999 相似文献
2.
3.
Abelian relative difference sets of parameters (m, n, k, )=(p
a
, p, p
a
, p
a–1
)are studied in this paper. In particular, we show that for an abelian groupG of orderp
2c+1
and a subgroupN ofG of orderp, a (p
2c
, p, p
2c
, p
2c–1
)-relative difference set exists inG relative toN if and only if exp (G)p
c+1
.Furthermore, we have some structural results on (p
2c
p, p
2c
, p
2c–1
)-relative difference sets in abelian groups of exponentp
c+1
. We also show that for an abelian groupG of order 22c+2 and a subgroupN ofG of order 2, a (22c+1, 2, 22c+1, 22c
)-relative difference set exists inG relative toN if and only if exp(G)2
c+2 andN is contained in a cyclic subgroup ofG of order 4. New constructions of (p
2c+1
, p, p
2c+1
, p
2c
)-relative difference sets, wherep is an odd prime, are given. However, we cannot find the necessary and sufficient condition for this case. 相似文献
4.
黄之瑞 《数学年刊B辑(英文版)》1987,(3)
本文推广 Davidson 关于右连续 p 函数构造的一个结果,得到每个右连续半 p 函数必可表成一个取值于[0,1]中的常函数与一个标准半 p 函数的点乘积这个基本结果. 相似文献
5.
黄之瑞 《数学年刊A辑(中文版)》1987,(3)
本文推广Davidson关于右连续p函数构造的一个结果,得到每个右连续半p函数必可表成一个取值于[0,1]中的常函数与一个标准半p函数的点乘积这个基本结果。 相似文献
6.
С. А. Пичугов 《Analysis Mathematica》1991,17(1):21-33
LetA and be two arbitrary sets in the real spaceL
p, 1p<. Sufficient conditions are obtained for their strict separability by a hyperplane, in terms of the distance between the setsd(A,B)
p=inf{x-yp,xA,yB} and their diametersd(A)
p, d(B)p, whered(A)
p=sup{x-yp; x,yA}. In particular, it is proved that if in an infinite-demensional spaceL
p we haved
r(A,B)p>2–r+1(dr(A)p+dr(B)p), r=min{p, p(p–1)–1}, then there is a hyperplane which separatesA andB. On the other hand, the conditiond
r(A,B)p=2–r+1(dr(A)p+dr(B)p) does not guarantee strict separability. Earlier these results where obtained by V. L. Dol'nikov for the case of Euclidean spaces. 相似文献
7.
本文对p-Frattini子群进行了进一步的.研究,给出了p-Frattini子群与p-中心的关系,我们的结果推广了Gaschutz在文献[1]中关于Frattini子群与群的中心间的关系。 相似文献
8.
А. М. Седлецкий 《Analysis Mathematica》1982,8(3):215-232
Let the rootsλ n of an entire functionL(z) be separated and lie in some horizontal strip ¦Im z¦ ≦h, and suppose that $$0< c \leqq |L(z)|(1 + |z|)^{ - b} \exp ( - a|\operatorname{Im} z|) \leqq C< \infty$$ for ¦Imz¦≧H>h. If 1<p<2 and - 1/pq (1/q+1/p=1), then the system {exp (iλ n x)} n=0 ∞ constitutes a basis нn the spaceL p (-a,a). In the caseb=1/q orb=?1/p the theorem fails, Equivalence of the following two statements is also proved:
- {exp (iλ n x)} n=0 ∞ is an extendable convergence system inL p from the interval (-a, a).
- {exp (iλ n x)} n=0 ∞ is a continuable basis inL p (-a,a).
9.
Linear operators of the form
are studied, where {
n
k
} denotes the Haar system and
n
a permutation of the integers 1, 2, ..., 2
n
. Conditions ensuring boundedness of these operators in the Lorentz spacesL
p,q
, and in particular inL
p
, are found. 相似文献
10.
包装{(p,p-1),(p,p)}图对和 Slater 问题 总被引:2,自引:0,他引:2
设 G 是一个简单无向图.V(G),E(G)分别表示 G 的顶点集和边集.(?)表示 G 的补图.我们以 S_(?) 表示 n 1阶星图 k_(1,n-1).称 G 是(p,p—k)图,如果|E(G)|=|V(G)|—k.称|V(G)|为图 G 的阶.设 G_1,G_2是同阶图,(?)_1是 V(G_1)到 V(G_2)的一个双射,(?)_2是 V(G_2)上的一个置换,我们用(?)_2(?)_1表示 V(G_1)到 V(G_2)的双射,其作用为 相似文献
11.
p.n.p.矩阵的等价表征 总被引:1,自引:1,他引:0
本文通过对闽南三角地区资源、社会经济、农业发展等情况分析,论述并提出了建立以外向型为主,内外兼容的新的农业发展模式,该模式兼有外向型农业和内向型农业的特点与功能。文章还论述了如何应用新模式规划闽南三角地区农业发展战略。 相似文献
12.
逆p·n·p·矩阵的表征 总被引:1,自引:0,他引:1
一个n阶实方阵A,若其各阶主子式皆非正,则称A为p.n.p.矩阵,记作A∈PNP;特别地,若A∈NP且各阶主子式皆负,则称A为p.n.矩阵,记作A∈PN进一步,若n阶实方阵A非奇异,且A-1∈PNP,则称A为逆p.n.p.矩阵,记作A∈IPNP;特别地,若A-1∈PN,则称A为逆p.n.矩阵,记作A∈IPN。 相似文献
13.
p.n.p.矩阵的一些性质 总被引:1,自引:1,他引:0
一个n阶实方阵若其各阶主子式皆非正,则称为部分非正阵,简写作p.n.p.矩阵.特别地,各阶主子式皆负的p.n.p.矩阵称为部分负矩阵,简写为p.n.矩阵。文[1]、[5]讨论了p.n.p.矩阵的谱性质。本文在[5]的基础上讨论了p.n.p.矩阵的若干性质,并给出p.n.p.矩阵特征值的某些估计式。 引理1 设A=(A_(ij)_n×n为一p.n.p.矩阵,则A的特征值之实部不全为负(n≥2)。 证 设λ_1,λ_2,…,λ_n为A的全部特征值。假定A的每一特征值之实部皆为负。分两种情 相似文献
14.
Stephen Portnoy 《Probability Theory and Related Fields》1986,73(4):571-583
Summary Let X
1
, X
2
, ..., X
n
be i.i.d. random vectors in R
p where p tends to infinity. A theorem is presented showing that the Central Limit Theorem should hold if p
2/n tends to zero. Furthermore, an example is presented with X
i having a mixed multivariate normal distribution (with finite moment generating function) for which a uniform normal approximation
to the distribution of the sample mean
can not hold if p
2/n does not tend to zero.
Research supported in part by National Science Foundation Grants MCS 80-02340, MCS 83-01834, and DMS 85-03785 相似文献
15.
一、引言 设有一个r阶有限加群G,又有一个n行k列矩阵 M=(m_(ij)),m_(ij)∈G。若对任意给定的一对列指标j_1≠j_2,当i取值1至n时的n个差α_(ij_1)-α_(ij_2)中,群G的每个元素都出现相同次数,就说矩阵M是群G上的n×k差表(difference scheme)。特 相似文献
16.
关于p.n.p.矩阵的谱性质 总被引:3,自引:1,他引:2
§1 引言 定义1 设∈R~n×n),若A的每一k阶主子式是非正的,1≤k≤n,则称A是一偏非正矩阵,简称p.n.p.矩阵。 特别地,若一p.n.p.矩阵的每一k阶主子式是负的,1≤k≤n,则称此矩阵为偏负矩阵,简称为p.n.矩阵。 1974年J.J.Johnson给出了p.n.p.矩阵具有一负特征值的充分条件以及p.n.矩阵的两个谱性质。 相似文献
17.
p阶Feigenbaum映射 总被引:1,自引:0,他引:1
A continuous map f from the unit closed interval into itself is called a p-order Feigenbaum's map if fp(λx) = λf(x),f(O)=1 and f|[λ,1] is univallecular. In this paper, some characterizations of p order Feigenbaum's maps are discussed and the existence for both types of such maps is proven. 相似文献
18.
19.
《数学的实践与认识》2020,(2)
设N,H是任意的群.若存在群G,它具有正规子群■,使得■且■,则称群G为N被H的中心扩张.完全给出了当|N|=p,H为奇阶亚循环p群时,N被H的中心扩张得到的所有不同构的群. 相似文献
20.
A graphG is embeddable in its complement
ifG is isomorphic with a subgraph of
. A complete characterization is given of those (p,p−1) graphs which are embeddable in their complements. In particular, letG be a (p,p−1) graph wherep≧6 ifp is even andp≧9 ifp is odd; thenG is embeddable in
if and only ifG is neither the starK
1,p−1 norK
1,n
∪C
3 withn≧4. 相似文献