Экстремальные подпр остранства в задаче о поперечниках классов 131-01131-01131-01a,b в простран ствеC[a,b]

It is shown that for an arbitraryn=2, 3, ... there exist moduli of continuity such that no subspaces of dimensionn in the spaceC[a, b] are extremal in the diameter computation problem of the classH [a,b] inC[a,b].     

385-01385-01385-01ber Gruppen projektiver Kollineationen,welche eine perspektive Dualität invariant lassen

Ohne ZusammenfassungHerrn Prof. Dr.Reinhold Baer zum 60. Geburtstag gewidmet     

T01三进位制

在电子计算机中,很多都採用了二进位数,在这些电子升算机中,利用脈冲电流的“無”和“有”来代表“0”和“1”两个数字,二进位数是仅用0和1两个数元表出的数,m位的二进位整数实际上就是用以2为幂的m次多项式来表示某一数,这关系可写成下式:     

Eine ErweiterungT(V′) des Ordinalzahlensystems 58-0158-0158-01(Λ0) von G. Jäger

Summary This paper gives a recursive generalization of a strong notation system of ordinals, which was devellopped by Jäger [3]. The generalized systemT(V) is based on a hierarchy of Veblen-functions for inaccessible ordinals. The definition ofT(V) assumes the existence of a weak Mahlo-ordinal. The wellordering ofT(V) is provable in a formal system of second order arithmetic with the axiom schema of ₂ ¹ -comprehension in a similar way, as it is proved in [6] for the weaker notation systemT(V).     

The regularity of Lagrangiansf(x, ξ)=254-01254-01254-01with Hölder exponents α(x)

In this paper the regularity of the Lagrangiansf(x, )=||^(x)(1< ₁(x)₂< +) is studied. Our main result: If(x) is Holder continuous, then the Lagrangianf(x, )=f(x, )=||^(x) is regular. This result gives a negative answer to a conjecture of V. Zhikov.Supported by the National Natural Science Foundation of China.     

Sign-balance identities of Adin–Roichman type on 321-avoiding alternating permutations

Adin and Roichman proved a set of refined sign-balance identities on 321-avoiding permutations respecting the last descent of the permutations, which we call the identities of Adin–Roichman type. In this work, we construct a new involution on plane trees that proves refined sign-balance properties on 321-avoiding alternating permutations respecting the first and last entries of the permutations respectively and obtain two sets of identities of Adin–Roichman type.     

Existence and uniqueness theorems for A -regular generalized solutions of the first boundary-value problem for (A,674-01674-01674-01) — Elliptic equations

For second-order quasilinear degenerate elliptic equations, having the structure of -elliptic equations in a bounded domain Rⁿ, n2, one establishes theorems of existence and uniqueness for the generalized solutions of the first boundary-value problem, bounded together with their A -derivatives of first order and also of first and second order. The case of linear second-order -elliptic equations are separately considered.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 115, pp. 83–96, 1982.     

Fuzzy Topological Representation Theory For D_(01)

In this paper, we shall introduce the concepts of fuzzy prime ideal, fuzzy Stone space, fuzzy fundamental set, etc. And the representations of a distributive lattice with 0, 1 (D_(01) denotes the equational class of such lattices) by fuzzy sets will be investigated and many useful results are obtained.     

Bergman空间B_q~p(01)中的Hardy-Littlewood逆定理

本文在Bergman空间Bqp(01)中研究关于旋转连续模的Hardy Littlewood逆定理,在通常条件下,得到了与在空间Hp(0相似文献   

I_(01)逼近定理的另一证明

最近,王振宇讨论了多项式的0,1系数逼近(简称I_(01)逼近)问题,用其结果研究多项式计算中的系数舍入问题,提出了一个新的、较简单的系数舍入方法,证明了该方法使用方便并且误差小,[1]中关于I_(01)逼近定理的证明篇幅很长,我发现若采用阿贝尔变换,     

I_(01)逼近和多项式计算中的系数舍入

本文首先讨论多项式的0,1系数多项式逼近(简称I_(01)逼近)问题,然后用所得到的结果研究多项式计算中的系数舍入问题,提出了一个新的、较为简单的系数舍入算法.证明了用这种舍人算法带来的舍入误差较通常的四舍五入(十进制)法或零舍一入(二进制)法要低得多,在使用方便和误差方面,都比一松信的算法为好.     

321不锈钢单晶体在3.5％MgCl2水溶液中的再钝化过程

用快速划破技术研究了321不锈钢单晶体在3.5％MgCl₂水溶液中裸体表面上氧化膜的形成过程。裸体表面上首先形成一价金属物吸附层,它使腐蚀电流瞬时降低到接近钝态电流,但吸附层是不稳定的过渡物,很快又转变为氧化物。形成吸附层约为2.5 ms,吸附层转变为氧化膜约为3 ms。形成吸附层的动力学规律为i₁(t)=I°exp(-at),氧化膜生长过程的动力学规律为i₂(t)=J°exp(-bt)。氧化膜生长服从高电场下离子导通规律。     

Tchebyshev Approximation by S01(Δ)over Some Special Triangulations

The critical point set plays a central role in the theory of Tchebyshev approximation.Generally,in multivariate Tchebyshev approximation,it is not a trivial task to determine whether a set is critical ...     

The Permutations 123p 4…p m and 321p 4…p m are Wilf-Equivalent

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     

I_(01)逼近和多项式计算中的系数舍入(续)

一、I_(01)逼近的不唯一性 [1]中我们证明了I_(01)逼近定理,指出:若有偶多项式P_(2n)(x)=sum from k-0 to n (a_(2k)x~(2k)),x∈[-1,1],其系数满足0≤a_(2k)<1,k=0,1,…,n,则存在一个次数至多为2n且只以0和1     

Besov空间B_1~(01)(R)上的Riesz平均

本文证明了任何正阶的 Riesz 平均在 Besov 空间(?)_1~(01)(R)上有界,而结论对0阶的 Riesz 平均不成立.因此,Riesz 平均关于空间(?)_1~(01)(R)的临界阶是0.