共查询到10条相似文献,搜索用时 109 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.
David E. Dobbs 《International Journal of Mathematical Education in Science & Technology》2013,44(3):358-362
It is proved that if the differential equations y ( n )=f(x, y, y′, …, y ( n ?1 )) and y ( m )=g(x, y, y′, …, y ( n ?1 )) have the same particular solutions in a suitable region where f and g are continuous real-valued functions with continuous partial derivatives (alternatively, continuous functions satisfying the classical Lipschitz condition), then n?=?m and the functions f and g are equal. This note could find classroom use in a course on differential equations as enrichment material for the unit on the existence and uniqueness theorems for solutions of initial value problems. 相似文献
3.
Tristan Rivière 《Annals of Global Analysis and Geometry》2000,18(5):517-528
We prove that the maps from S
2 intoS
1 having a finite number of isolated singularities ofdegree ±1 are dense for the strong topology inH
1/2(S
2, S
1). We also prove that smooth maps are densein H
1/2(S
2, S
1)for the sequentially weak topology andthat this is no more the case in H
s
(S
2, S
1) for s> 1/2. 相似文献
4.
This paper presents procedures for constructing irreducible polynomials over GF(2s) with linearly independent roots (or normal polynomials or N-polynomials). For a suitably chosen initial N-polynomial F0(x)GF(2s) of degree n, polynomials Fk(x)GF(2s) of degrees n2k are constructed by iteratively applying the transformation x→x+x-1, and their roots are shown to form a normal basis of GF(2sn2k) over GF(2s). In addition, the sequences are shown to be trace compatible, i.e., the trace map TGF(2sn2k+1)/GF(2sn2k) fromGF(2sn2k+1) onto GF(2sn2k) maps the roots of Fk+1(x) onto those of Fk(x). 相似文献
5.
n -2 integers 2 n -2+2 n -3+2 s, where s=0,1,2,..., n-3, in the interval (2 n -2+2 n -3,2 n -1] such that these integers are the cardinalities of row spaces R(A) of non-full rank Boolean matrices A of order n. We also show that for each s, where s=0,1,2,..., n-3, there exists A epsilon B n such that A is non-full rank and the cardinality of R(A) equals 2 n -2+2 n -3+2 s. 相似文献
6.
The authors establish the boundedness of Marcinkiewicz integrals from the Hardy space H
1 (ℝ
n
× ℝ
m
) to the Lebesgue space L
1(ℝ
n
× ℝ
m
) and their commutators with Lipschitz functions from the Hardy space H
1 (ℝ
n
× ℝ
m
) to the Lebesgue space L
q
(ℝ
n
× ℝ
m
) for some q > 1. 相似文献
7.
A class of regular semigroups with regular *- transversals 总被引:6,自引:0,他引:6
Yonghua Li 《Semigroup Forum》2002,65(1):43-57
Let S be a regular semigroup. If there is a subsemigroup S
*
of S and a unary operation * in S satisfying: (1) x
*
∈ S
*
\cap V_ S
*
(x) for all x∈ S; (2) (x
*
)
*
=x for all x∈ S
*
; (3) (x
*
y)
*
=y
*
x
**
and (xy
*
)
*
=y
**
x
*
for all x,y∈ S, then S
*
is called a regular *- transversal of S ; if (3) is replaced with (xy)
*
=y
*
x
*
for all x,y∈ S, then S
*
is called a strongly regular *- transversal of S. In this paper we consider the class of regular semigroups with a strongly regular *- transversal. It is proved that these semigroups are P - regular semigroups. We characterize the structure of the regular semigroups with a strongly regular *- transversal. 相似文献
8.
A. A. Lyashenko 《Mathematical Methods in the Applied Sciences》1995,18(7):549-569
In the present paper we discuss the stability of semilinear problems of the form Aαu + Gα(u) = ? under assumption of an a priori bound for an energy functional Eα(u) ? E, where α is a parameter in a metric space M. Following [11] the problem Aαu + Gα(u) = ?, Eα(u) ? E is called stable in a Hilbert space H at a point α ? M if for any ??H, E, ? > 0 there exists δ > 0 such that for any functions uα1, uα2 satisfying Aαjuαj + Gαj(uαj) = ?αj, Eαj(uαj) ? E, j = 1,2 we have ‖uα1 ? uα2H ? ? provided ρM(αj, α) ? δ, ‖?αj ? ?‖H ? δ, j = 1,2. In the present paper we obtain stability conditions for the problem Aαu + Gα(u) = ?, Eα(u) ? E. 相似文献
9.
Athanasios Deligiannis 《manuscripta mathematica》2000,102(2):251-261
We construct for all topological space X and all n∈N a natural section e
n
X
:G
n
X→G
n
G
n
X of the Ganea projection :G
n
G
n
X→G
n
X and show that the triple (G
n
,g
n
,e
n
) is a comonad on Top
*.
Received: 6 March 2000 相似文献
10.
Lars Diening 《Mathematische Nachrichten》2004,268(1):31-43
We study the Riesz potentials Iαf on the generalized Lebesgue spaces Lp(·)(?d), where 0 < α < d and Iαf(x) ? ∫equation/tex2gif-inf-3.gif |f(y)| |x – y|α – d dy. Under the assumptions that p locally satisfies |p(x) – p(x)| ≤ C/(– ln |x – y|) and is constant outside some large ball, we prove that Iα : Lp(·)(?d) → Lp?(·)(?d), where . If p is given only on a bounded domain Ω with Lipschitz boundary we show how to extend p to on ?d such that there exists a bounded linear extension operator ? : W1,p(·)(Ω) ? (?d), while the bounds and the continuity condition of p are preserved. As an application of Riesz potentials we prove the optimal Sobolev embeddings Wk,p(·)(?d) ?Lp*(·)(Rd) with and W1,p(·)(Ω) ? Lp*(·)(Ω) for k = 1. We show compactness of the embeddings W1,p(·)(Ω) ? Lq(·)(Ω), whenever q(x) ≤ p*(x) – ε for some ε > 0. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献