共查询到20条相似文献,搜索用时 31 毫秒
1.
Amitai Regev 《Israel Journal of Mathematics》1999,113(1):15-28
The numbers
% MathType!End!2!1!, λ ⊢n appear in the enumeration of various objects, as well as coefficients inS
nrepresentations associated with products of higher commutators. We study their asymptotics asn→∞ and show that if (λ1, λ2, …)≈(α
1,α
2, …)n, if (λ′1, λ′2, …)≈(β
1,β
2, …)n and ifγ=1− Σ
k⩽1(α
k⩽1+β
k⩽1), then
% MathType!End!2!1!.
Work partially supported by N.S.F. Grant No. DMS 94-01197. 相似文献
2.
Shinji Azuma Kenji Hayashi Akio Kudô 《Annals of the Institute of Statistical Mathematics》1984,36(1):475-479
Summary Given two sets of sizek, {α
1...,α
k} and {β
1...,β
k} there arek! possible combinations of these two
, and suppose there is apriori given a number corresponding to the partnership (α
1,β
j}. The average of the numbers corresponding to
is a random variable, and this paper presents the first five moments of the average, and an application in the study of an
isolated human population is demonstrated. 相似文献
3.
Let f∈C
[−1,1]
″
(r≥1) and Rn(f,α,β,x) be the generalized Pál interpolation polynomials satisfying the conditions Rn(f,α,β,xk)=f(xk),Rn
′(f,α,β,xk)=f′(xk)(k=1,2,…,n), where {xk} are the roots of n-th Jacobi polynomial Pn(α,β,x),α,β>−1 and {x
k
″
} are the roots of (1−x2)Pn″(α,β,x). In this paper, we prove that
holds uniformly on [0,1].
In Memory of Professor M. T. Cheng
Supported by the Science Foundation of CSBTB and the Natural Science Foundatioin of Zhejiang. 相似文献
4.
I. E. Zuber 《Vestnik St. Petersburg University: Mathematics》2010,43(3):139-142
A control of an nth-order discrete system under an external perturbation is considered. The elements of the matrix of the system are functionals
of any nature. The observation matrix is constant and has arbitrary size m × n. A control ensuring the independence of the output σ
k
on the external perturbation ψ
k
is synthesized; moreover,
$
\sigma _{k + 1} = \beta \sigma _k , 0 < \beta < 1, \sigma _k \in \mathbb{R}^m
$
\sigma _{k + 1} = \beta \sigma _k , 0 < \beta < 1, \sigma _k \in \mathbb{R}^m
相似文献
5.
M. Felten 《Acta Mathematica Hungarica》2008,118(3):265-297
The paper is concerned with bounds for integrals of the type
6.
LetK be a field, charK=0 andM
n
(K) the algebra ofn×n matrices overK. If λ=(λ1,…,λ
m
) andμ=(μ
1,…,μ
m
) are partitions ofn
2 let
wherex
1,…,x
n
2,y
1,…,y
n
2 are noncommuting indeterminates andS
n
2 is the symmetric group of degreen
2.
The polynomialsF
λ, μ
, when evaluated inM
n
(K), take central values and we study the problem of classifying those partitions λ,μ for whichF
λ, μ
is a central polynomial (not a polynomial identity) forM
n
(K).
We give a formula that allows us to evaluateF
λ, μ
inM(K) in general and we prove that if λ andμ are not both derived in a suitable way from the partition δ=(1, 3,…, 2n−3, 2n−1), thenF
λ, μ
is a polynomial identity forM
n
(K). As an application, we exhibit a new class of central polynomials forM
n
(K).
In memory of Shimshon Amitsur
Research supported by a grant from MURST of Italy. 相似文献
7.
M. A. Lifshits 《Journal of Mathematical Sciences》2006,137(1):4541-4545
We consider a series of bilinear sequences
8.
A. S. Demidov 《Journal of Mathematical Sciences》2006,139(6):7064-7078
It is shown that an infinite-dimensional dynamical system of the form
9.
J. S. Hwang 《数学学报(英文版)》1998,14(1):57-66
Letf(X) be an additive form defined by
10.
Letc
n
(A) denote the codimensions of a P.I. algebraA, and assumec
n
(A) has a polynomial growth:
. Then, necessarily,q∈ℚ [D3]. If 1∈A, we show that
, wheree=2.71…. In the non-unitary case, for any 0<q∈ℚ, we constructA, with a suitablek, such that
.
In memory of S. A. Amitsur, our teacher and friend
Partially supported by Grant MM404/94 of Ministry of Education and Science, Bulgaria and by a Bulgarian-American Grant of
NSF.
Partially supported by NSF grant DMS-9101488. 相似文献
11.
Let β
0=0.308443… denote the Littlewood-Salem-Izumi number, i.e., the unique solution of the equation
12.
李永昆 《应用数学学报(英文版)》1999,15(3):281-286
1.IntroductionNeutraldelayffereatialequationsinpopulationdynamicshavebeenstudiedextensivelyforthep88tfewyears.However,onlyafewpapersll--5]havebeenpublishedontheexistencesofperiodicsolutionsoftheneutraldelaypopulationmodels.In[6,7],Kuangproposedtoinve... 相似文献
13.
Isabella Novik 《Israel Journal of Mathematics》1998,108(1):45-82
In this paper we prove the Upper Bound Conjecture (UBC) for some classes of (simplicial) homology manifolds: we show that
the UBC holds for all odd-dimensional homology manifolds and for all 2k-dimensional homology manifolds Δ such that β
k
(Δ)⩽Σ{β
i
(Δ):i ≠k-2,k,k+2 and 1 ⩽i⩽2k-1}, where β
i
(Δ) are reduced Betti numbers of Δ. (This condition is satisfied by 2k-dimensional homology manifolds with Euler characteristic χ≤2 whenk is even or χ≥2 whenk is odd, and for those having vanishing middle homology.)
We prove an analog of the UBC for all other even-dimensional homology manifolds.
Kuhnel conjectured that for every 2k-dimensional combinatorial manifold withn vertices,
. We prove this conjecture for all 2k-dimensional homology manifolds withn vertices, wheren≥4k+3 orn≤3k+3. We also obtain upper bounds on the (weighted) sum of the Betti numbers of odd-dimensional homology manifolds. 相似文献
14.
Let H be an atomic monoid. For
k ? \Bbb Nk \in {\Bbb N} let Vk (H){\cal V}_k (H) denote the set of all
m ? \Bbb Nm \in {\Bbb N} with the following property: There exist atoms (irreducible elements) u
1, …, u
k
, v
1, …, v
m
∈ H with u
1· … · u
k
= v
1 · … · v
m
. We show that for a large class of noetherian domains satisfying some natural finiteness conditions, the sets Vk (H){\cal V}_k (H) are almost arithmetical progressions. Suppose that H is a Krull monoid with finite cyclic class group G such that every class contains a prime (this includes the multiplicative monoids of rings of integers of algebraic number
fields). We show that, for every
k ? \Bbb Nk \in {\Bbb N}, max V2k+1 (H) = k |G|+ 1{\cal V}_{2k+1} (H) = k \vert G\vert + 1 which settles Problem 38 in [4]. 相似文献
15.
Two Inequalities for Convex Functions 总被引:1,自引:0,他引:1
Let a 0 < a 1 < ··· < a n be positive integers with sums $ {\sum\nolimits_{i = 0}^n {\varepsilon _{i} a_{i} {\left( {\varepsilon _{i} = 0,1} \right)}} }
16.
V. V. Rimatskii 《Algebra and Logic》1996,35(5):344-349
In the present article, we prove the theorem which states that every table modal logic λ of depth 2 over S4 has a finite basis
of admissible inference rules. In addition, it is established that a finite algebra ℒ belongs to Fω(λ)Q iff there exist numbers n1…, nk such that
(Lemma 5). Let F be a λ-frame of depth 2 and b a cluster of the second layer in F. We show that for any n1,…,nk, there exist no p-morphisms from (Fn1⊔…⊔Fnk)+ a local component K (b) such that, for any n, there is no p-morphism from any local component of Fn onto K (b) (Lemma 6).
Translated fromAlgebra i Logika, Vol. 35, pp. 612–622, September–October, 1996. 相似文献
17.
Let H be an atomic monoid. For let denote the set of all with the following property: There exist atoms (irreducible elements) u
1, …, u
k
, v
1, …, v
m
∈ H with u
1· … · u
k
= v
1 · … · v
m
. We show that for a large class of noetherian domains satisfying some natural finiteness conditions, the sets are almost arithmetical progressions. Suppose that H is a Krull monoid with finite cyclic class group G such that every class contains a prime (this includes the multiplicative monoids of rings of integers of algebraic number
fields). We show that, for every , max which settles Problem 38 in [4].
Authors’ addresses: W. Gao, Center for Combinatorics, Nankai University, Tianjin 300071, P.R. China; A. Geroldinger, Institut
für Mathematik und Wissenschaftliches Rechnen, Karl-Franzens-Universit?t Graz, Heinrichstra?e 36, 8010 Graz, Austria 相似文献
18.
Zhu Yaochen 《数学学报(英文版)》1988,4(4):364-371
Let
be a finitely generated extension field of ℚ, andα
i,βj(1⩽i⩽m,1⩽j⩽n) be some complex numbers. Let
(k=1,2,3) be fields obtained by adjoining to
the numbers {α
i,βj exp(αiβj)}, {αi, exp(αiβj)}, and {exp(αiβj)}, respectively. In the present note the relation between the transcendental degree of
over
and the transcendence type of
over ℚ is given.
This work was completed in Dpt. Math., Univ. of Southern Mississippi, Hattiesburg, USA. 相似文献
19.
H. A. Dzyubenko 《Ukrainian Mathematical Journal》2009,61(4):519-540
In the case where a 2π-periodic function f is twice continuously differentiable on the real axis ℝ and changes its monotonicity at different fixed points y
i
∈ [− π, π), i = 1,…, 2s, s ∈ ℕ (i.e., on ℝ, there exists a set Y := {y
i
}
i∈ℤ of points y
i
= y
i+2s
+ 2π such that the function f does not decrease on [y
i
, y
i−1] if i is odd and does not increase if i is even), for any natural k and n, n ≥ N(Y, k) = const, we construct a trigonometric polynomial T
n
of order ≤n that changes its monotonicity at the same points y
i
∈ Y as f and is such that
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