共查询到20条相似文献,搜索用时 31 毫秒
1.
This paper studies the cardinality of a smallest set
of t-subspaces of the finite projective spaces PG(n, q) such that every s-subspace is incident with at least one element of
, where 0 t < s n. This is a very difficult problem and the solution is known only for very few families of triples (s, t, n). When the answer is known, the corresponding blocking configurations usually are partitions of a subspace of PG(n, q) by subspaces of dimension t. One of the exceptions is the solution in the case t = 1 and n = 2s. In this paper, we solve the case when t = 1 and 2s < n 3s-3 and q is sufficiently large. 相似文献
2.
Michel Talagrand 《Inventiones Mathematicae》1992,107(1):1-40
Summary Forq>2, an operator fromC(K) toX is of cotypeq if and only if it factors through the Lorentz space
. Forq=2, ifX is a rearrangement invariant space on [0, 1], the injectionC([0, 1])X is of cotype 2 if and only if it factors through the Lorentz space
; but there is a cotype 2 operator C(K) that does not factor through
. If a Banach latticeX satisfies the Orlicz property, any bounded lattice operatorT:C(K)X is of cotype 2. We however construct a Banach lattice with the Orlicz property, but that fails to be of cotype 2.Oblatum 4-VII-1990 & 18-IV-1991Work partially supported by an NSF grant 相似文献
3.
E. P. Golubeva 《Journal of Mathematical Sciences》2003,118(1):4740-4752
Let h(d) be the class number of the field
and let
be the Lévy constant. A connection between these constants is studied. It is proved that if d is large, then the value h(d) increases, roughly speaking, at the rate
as
grows. A similar result is obtained in the case where the value
is close to
, i.e., to the least possible value. In addition, it is shown that the interval
contains no values of
for prime p such that p 3 (mod 4). As a corollary, a new criterion for the equality h(d)=1 is obtained. Bibliography: 14 titles. 相似文献
4.
Since the genus of the modular curve X_1 (8) = _1 (8)
* is zero, we find a field generator j
1,8(z) = 3(2z)/3(4z) (3(z) :=
n
ein
2z
) such that the function field over X
1(8) is (j
1,8). We apply this modular function j
1,8 to the construction of some class fields over an imaginary quadratic field K, and compute the minimal polynomial of the singular value of the Hauptmodul N(j
1,8) of (j
1,8). 相似文献
5.
Pavel Valtr 《Discrete and Computational Geometry》1992,7(1):135-152
For a finite setA of points in the plane, letq(A) denote the ratio of the maximum distance of any pair of points ofA to the minimum distance of any pair of points ofA. Fork>0 letc
(k) denote the largest integerc such that any setA ofk points in general position in the plane, satisfying
for fixed
, contains at leastc convex independent points. We determine the exact asymptotic behavior ofc
(k), proving that there are two positive constants=(), such thatk
1/3c
(k)k
1/3. To establish the upper bound ofc
(k) we construct a set, which also solves (affirmatively) the problem of Alonet al. [1] about the existence of a setA ofk points in general position without a 7-hole (i.e., vertices of a convex 7-gon containing no other points fromA), satisfying
. The construction uses Horton sets, which generalize sets without 7-holes constructed by Horton and which have some interesting properties. 相似文献
6.
Sanming Zhou 《Czechoslovak Mathematical Journal》1998,48(1):45-53
Let G be a graph with order p, size q and component number . For each i between p – and q, let
be the family of spanning i-edge subgraphs of G with exactly components. For an integer-valued graphical invariant if H H
is an adjacent edge transformation (AET) implies |(H)-(H')|1 then is said to be continuous with respect to AET. Similarly define the continuity of with respect to simple edge transformation (SET). Let M
j() and m
j() be the invariants defined by
. It is proved that both M
p–() and m
p–(;) interpolate over
, if is continuous with respect to AET, and that M
j() and m
j() interpolate over
, if is continuous with respect to SET. In this way a lot of known interpolation results, including a theorem due to Schuster etc., are generalized. 相似文献
7.
Cindy de Volder 《Geometriae Dedicata》2001,85(1-3):237-251
We consider the blowing-up Y
k
of the projective plane along k general points P
1,...,P
k
. Let
k
: Y
k
2 be the projection map and E
i
the exceptional divisor corresponding to P
i
for 1ik. For m2 and km(m+3)/2–4 let
k
be the invertible sheaf
k
*(
2(m))
Y
k
(–E
1–···–E
k
) on Y
k
, and let k: Y
k
N
be the morphism corresponding to
k
. As
k
is a local embedding, the Gauss map
k
corresponding to
k
is defined on Y
k
by
k
(x)=(d
x
k
)(T
x
(Y
k
)) for all xY
k
. We prove that this Gauss map
k
is injective. 相似文献
8.
The shadow minimization problem for t-intersecting systems of finite sets is considered. Let
be a family of k-subsets of . The -shadow of
is the set of all (k-)-subsets
contained in the members of
. Let
be a t-intersecting family (any two members have at least t elements in common) with
. Given k,t,m the problem is to minimize
(over all choices of
). In this paper we solve this problem when m is big enough. 相似文献
9.
Marco Buratti 《Designs, Codes and Cryptography》1999,16(2):117-120
We give the explicit construction of a regular (17q, 17, 2)-BIBD for any prime power q 17 (mod 32) such that 2 is not a 4th power in GF(q) and the explicit construction of a regular (25q, 25, 3)-BIBD for any prime power q 25 (mod 48) such that
and
+3 are non-squares in GF(q). 相似文献
10.
V. Koubek 《Algebra Universalis》1996,35(2):296-331
Given distinct varieties
and
of the same type, we say that
is relatively
-universal if there exists an embedding :K
from a universal categoryK such that for every pairA, B ofK-objects, a homomorphismf:A B has the formf=g for someK-morphismg:A B if and only if Im(f)
. Finitely generated relatively
-universal varieties of Heyting algebras are described for the variety
of Boolean algebras, the variety generated by a three element chain, and for the variety generated by the four element Boolean algebra with an added greatest element.Dedicated to the memory of Alan DayPresented by J. Sichler.The support of the NSERC is gratefully acknowledged. 相似文献
11.
We define a statistic, called weight, on involutions and consider two applications in which this statistic arises. Let I(n) denote the set of all involutions on [n](={1,2,..., n}) and let F(2n) denote the set of all fixed point free involutions on [2n]. For an involution , let || denote the number of 2-cycles in . Let[ n]
q
=1+q++qn-1 and let
denote the q-binomial coefficient. There is a statistic wt on I(n) such that the following results are true.(i) We have the expansion
(ii) An analog of the (strong) Bruhat order on permutations is defined on F(2n) and it is shown that this gives a rank-2
graded EL-shellable poset whose order complex triangulates a ball. The rank of F(2n) is given by wt() and the rank generating function is [1]
q
[3]q[2n-1]q. 相似文献
12.
Summary The existence of optimal nodes with preassigned multiplicities is proved for the Hardy spacesH
p
(1<p<). This is then used to show that the exact order of convergence for the optimal qudrature formula withN nodes (including multiplicity) is
where 1/p+1/q=1 and 1p. 相似文献
13.
Ján Jakubík 《Czechoslovak Mathematical Journal》2002,52(3):651-663
Let Int
be the lattice of all intervals of an MV-algebra
. In the present paper we investigate the relations between direct product decompositions of
and (i) the lattice Int
, or (ii) 2-periodic isometries on
, respectively. 相似文献
14.
T. Simon 《Journal of Theoretical Probability》2004,17(4):979-1002
Let Z
t
, t 0 be a strictly stable process on
with index (0, 2]. We prove that for every p > , there exists = , p
and
such that
where || Z||
p
stands for the strong p-variation of Z on [0,1]. The critical exponent p
, takes a different shape according as | Z| is a subordinator and p > 1, or not. The small ball constant
is explicitly computed when p > 1, and a lower bound on
is easily obtained in the general case. In the symmetric case and when p > 2, we can also give an upper bound on
in terms of the Brownian small ball constant under the (1/p)-Höder semi-norm. Along the way, we remark that the positive random variable
is not necessarily stable when p > 1, which gives a negative answer to an old question of P. E. Greenwood.10 相似文献
15.
We give a complete classification for pairs (
(),) where
() is the set of all nuclei of a set ofq+1 not collinear points contained in the union of two lines in a desarguesian planePG(2,q) of orderq. We also obtain some new results concerning blocking sets of Rédei type and certain point-sets of type [0,1,m,n] inPG(2, q). 相似文献
16.
Stuart A. Steinberg 《Czechoslovak Mathematical Journal》2001,51(2):387-394
In an -group M with an appropriate operator set it is shown that the -value set (M) can be embedded in the value set (M). This embedding is an isomorphism if and only if each convex -subgroup is an -subgroup. If (M) has a.c.c. and M is either representable or finitely valued, then the two value sets are identical. More generally, these results hold for two related operator sets 1 and 2 and the corresponding -value sets
and
. If R is a unital -ring, then each unital -module over R is an f-module and has
exactly when R is an f-ring in which 1 is a strong order unit. 相似文献
17.
Criteria of algebraic independence of complex numbers over a field of finite transcendence type (II)
Zhu Yaochen 《数学学报(英文版)》1990,6(1):24-34
In the present paper we establish a criterion of algebraic independence of complex numbers
1, ...,
n
over a field
of finite transcendence type using a sequence of nonzero polynomials in several variables with integral coefficients, which satisfy simultaneously certain upper and lower estimates in different orders of magnitude at the point (
1, ...,
q
,
1, ...,
n
), where {
1, ...,
q
} is a transcendence basis of
over .The Project Supported by the National Natural Science Foundation of China 相似文献
18.
We consider a sequence of Dirichlet problems for a nonlinear divergent operator A: W
m
1(
s
) [W
m
1(
s
)]* in a sequence of perforated domains
s
. Under a certain condition imposed on the local capacity of the set \
s
, we prove the following principle of compensated compactness:
, where r
s(x) and z
s(x) are sequences weakly convergent in W
m
1() and such that r
s(x) is an analog of a corrector for a homogenization problem and z
s(x) is an arbitrary sequence from
whose weak limit is equal to zero. 相似文献
19.
For a comonic polynomialL() and a selfadjoint invertible matrixJ the following two factorization problems are considered: firstly, we parametrize all comonic polynomialsR() such that
. Secondly, if it exists, we give theJ-innerpseudo-outer factorizationL()=()R(), where () isJ-inner andR() is a comonic pseudo-outer polynomial. We shall also consider these problems with additional restrictions on the pole structure and/or zero structure ofR(). The analysis of these problems is based on the solution of a general inverse spectral problem for rational matrix functions, which consists of finding the set of rational matrix functions for which two given pairs are extensions of their pole and zero pair, respectively.The work of this author was supported by the USA-Israel Binational Science Foundation (BSF) Grant no. 9400271. 相似文献
20.
Martin Jacobsen 《Probability Theory and Related Fields》1984,66(2):269-292
Summary Given a Markov chain (X
n
)
n0, random times are studied which are birth times or death times in the sense that the post- and pre- processes are independent given the present (X
–1, X
) at time and the conditional post- process (birth times) or the conditional pre- process (death times) is again Markovian. The main result for birth times characterizes all time substitutions through homogeneous random sets with the property that all points in the set are birth times. The main result for death times is the dual of this and appears as the birth time theorem with the direction of time reversed.Part of this work was done while the author was visiting the Department of Mathematics, University of California at San DiegoThe support of The Danish Natural Science Research Council is gratefully acknowledged 相似文献