共查询到20条相似文献,搜索用时 93 毫秒
1.
本文研究了环Fpm+uFpm+u2Fpm上长度为ps的循环码分类.通过建立环Fpm+uFpm+u2Fpm到环Fpm+uFpm的同态,给出了环Fpm+uFpm+u2Fpm上长度为ps的循环码的新分类方法.应用这种方法,得到了环Fpm+uFpm+u2Fpm长度为ps的循环码的码词数. 相似文献
2.
V. A. Andrienko 《Russian Mathematics (Iz VUZ)》2010,54(3):1-6
We obtain the necessary conditions for the embedding H
p
ω
⊂ e
L
(1≤p∞) with convex modulus of continuity ω in terms of this modulus. In the case p=1 these conditions are also sufficient. 相似文献
3.
Nguyen Thanh Long 《Journal of Mathematical Analysis and Applications》2002,274(1):102-123
In this paper we consider the following nonlinear wave equation
(1) 相似文献
4.
本文研究有限链环上一类λ-常循环码.利用x~n-1在R_a[x]上可唯一分解为两两互素的首一基本不可约多项式乘积,刻画了R_a中长为p~sn的所有λ-常循环码,推广了开晓山等人在文献[4]中的结果. 相似文献
5.
6.
V. A. Belonogov 《Proceedings of the Steklov Institute of Mathematics》2009,264(Z1):60-71
In the author’s previous paper, the hypothesis that the alternating groups A
n
have no pairs of semiproportional irreducible characters is reduced to a hypothesis concerning the problem of describing
the pairs of irreducible characters of the symmetric group S
n
that are semiproportional on one of the sets A
n
or S
n
∖A
n
. In this hypothesis, properties of such a pair of characters are expressed in terms of Young’s diagrams corresponding to
these characters. The theorem proved in this paper allows one to exclude from consideration some stages of the verification
of this hypothesis. 相似文献
7.
8.
For any integersa
1,a
2,a
3,a
4 andc witha
1
a
2
a
3
a
4≢0(modp), this paper shows that there exists a solutionX=(x
1,x
2,x
3,x
4) ∈Z
4 of the congruencea
1
x
1
2
+a
2
x
2
2
+a
3
x
3
2
+a
4
x
4
2
≡c(modp) such that
Research of Zheng Zhiyong is supported by NNSF Grant of China. He would also like to thank the first author and the Mathematics
Department of Kansas, State University for their hospitality and support. 相似文献
9.
Samuel A. Ilori 《K-Theory》1989,2(5):623-624
We use the work of Karoubi and Mudrinski on the real Grothendieck's groups of certain complex projective bundles to show that the torsion of the KO
–i
groups of G
3(
n
), n odd, are related to the known torsion of the KO
–i
groups of G2(
n
). 相似文献
10.
11.
In this paper, we study a Ck/Cm/1/N open queueing system with finite capacity. We investigate the property which shows that a product of the Laplace Stieltjes Transforms of interarrival and service times distributions satisfies an equation of a simple form. According to this equation, we present that the stationary probabilities on the unboundary states can be written as a linear combination of vector product-forms. Each component of these products is expressed in terms of roots of an associated characteristic polynomial. As a result, we carry out an algorithm for solving stationary probabilities in Ck/Cm/1/N systems, which is independent of N, hence greatly reducing the computational complexity. 相似文献
12.
This paper analyzes a single-server finite-buffer vacation (single and multiple) queue wherein the input process follows a discrete-time batch Markovian arrival process (D-BMAP). The service and vacation times are generally distributed and their durations are integral multiples of a slot duration. We obtain the state probabilities at service completion, vacation termination, arbitrary, and prearrival epochs. The loss probabilities of the first-, an arbitrary- and the last-customer in a batch, and other performance measures along with numerical aspects have been discussed. The analysis of actual waiting time of these customers in an accepted batch is also carried out. 相似文献
13.
William T. Trotter 《Discrete Mathematics》1974,8(1):85-103
In 1941, Dushnik and Miller introduced the concept of the dimension of a poset (X, P) as the minimum number of linear extensions of P whose intersection is exactly P. Although Dilworth has given a formula for the dimension of distributive lattices, the general problem of determining the dimension of a poset is quite difficult. An equally difficult problem is to classify those posets which are dimension irreducible, i.e., those posets for which the removal of any point lowers the dimension. In this paper, we construct for each n≥3, k≥0, a poset, called a crown and denoted Skn, for which the dimension is given by the formula . Furthermore, for each t≥3, we show that there are infinitely many crowns which are irreducible and have dimension t. We then demonstrate a method of combining a collection of irreducible crowns to form an irreducible poset whose dimension is the sum of the crowns in the collection. Finally, we construct some infinite crowns possessing combinatorial properties similar to finite crowns. 相似文献
14.
Alain Kraus 《Compositio Mathematica》2002,132(1):1-26
Let m and n be integers at least two and R be a nonzero natural number. In this paper, we study the problem of the determination of the proper solutions of the Diophantine equation x
m
– y
m
equals; Rz
n
. We raise a question concerning the existence of any proper nontrivial solution of this equation, in case some precise conditions are satisfied by the triple (m, n, R). We prove some results about it. 相似文献
15.
We consider the M/M/s/K retrial queues in which a customer who is blocked to enter the service facility may leave the system with a probability that depends on the number of attempts of the customer to enter the service facility. Approximation formulae for the distributions of the number of customers in service facility, waiting time in the system and the number of retrials made by a customer during its waiting time are derived. Approximation results are compared with the simulation. 相似文献
16.
Let S be a fixed finite symmetric subset of SL
d
(Z), and assume that it generates a Zariski-dense subgroup G. We show that the Cayley graphs of π
q
(G) with respect to the generating set π
q
(S) form a family of expanders, where π
q
is the projection map Z→Z/q
Z. 相似文献
17.
18.
This paper deals with a batch service queue and multiple vacations. The system consists of a single server and a waiting room of finite capacity. Arrival of customers follows a Markovian arrival process (MAP). The server is unavailable for occasional intervals of time called vacations, and when it is available, customers are served in batches of maximum size ‘b’ with a minimum threshold value ‘a’. We obtain the queue length distributions at various epochs along with some key performance measures. Finally, some numerical results have been presented. 相似文献
19.
E. I. Bunina 《Journal of Mathematical Sciences》2010,169(5):589-613
In this paper, we prove that every automorphism of a Chevalley group of type B
l
, l ≥ 2, over a commutative local ring with 1/2 is standard, i.e., it is a composition of ring, inner, and central automorphisms. 相似文献
20.
We previously introduced and analyzed the G
t
/M
t
/s
t
+GI
t
many-server fluid queue with time-varying parameters, intended as an approximation for the corresponding stochastic queueing
model when there are many servers and the system experiences periods of overload. In this paper, we establish an asymptotic
loss of memory (ALOM) property for that fluid model, i.e., we show that there is asymptotic independence from the initial
conditions as time t evolves, under regularity conditions. We show that the difference in the performance functions dissipates over time exponentially
fast, again under the regularity conditions. We apply ALOM to show that the stationary G/M/s+GI fluid queue converges to steady state and the periodic G
t
/M
t
/s
t
+GI
t
fluid queue converges to a periodic steady state as time evolves, for all finite initial conditions. 相似文献