完全可分的三元系TS(v,4)的支撑集

§ 1　 IntroductionA triple system of order v and indexλ,denoted by TS(v,λ) ,is a collection of3- ele-mentsubsets Aof a v- set X,so thatevery 2 - subsetof X appears in preciselyλ subsets of A.L etλ≥ 2 and (X,A) be a TS(v,λ) .If Acan be partitioned into t(≥ 2 ) parts A1,A2 ,...,Atsuch that each (X,Ai) is a TS(v,λi) for 1≤ i≤ t,then (X,A) is called de-composable.Otherwise it is indecomposable.If t=λ,λi=1for 1≤ i≤ t,the TS(v,λ) (X,A) is called completely decomposable.It …     

Marcinkiewicz积分交换子的弱型(H1,L1)估计

§1Introductionandstatementofresult DenotebySn-1theunitsphereinRn(n≥2)equippedwiththenormalizedLebesgue measuredx′=dσ(x′).LetΩ∈L1(Sn-1)behomogeneousofdegreezeroandsatisfy∫Sn-1Ω(x′)dx′=0.(1.1)Then-dimensionalMarcinkiewiczintegralcorrespondingtotheLittlewood-Paleyg-functionintroducedbyStein[1]isdefinedbyμΩ(f)(x)=∫∞0|FΩ,t(f)(x)|2dtt31/2,where FΩ,t(f)(x)=∫|x-y|≤tΩ(x-y)|x-y|n-1f(y)dy.In1958,Stein[1]provedthatifΩ∈Lipγ(Sn-1)(0<γ≤1),thenμΩisoftype(p,p)for1相似文献   

MAURER-CARTAN EQUATION OF A_∞-ALGEBRAS

§ 0　IntroductionA∞ - algebras were first introduced and applied by Stasheff in [12 ,13].Recently,theyappeared in both mathematics and mathematical physics[1 ,5— 8,1 0 ] .An A∞ - algebra is a Z-graded vector space over a fixed field k with a sequence of graded maps mn∶ A n→ A ofdegree n- 2 (n≥ 1) satisfying certain axioms (see [5 ,6 ,12 ,13]) .In this paper,we focusour attentions on,as we call,the minimal A∞ - algebras,which are usual A∞ - algebrasdefined in [5 ,6 ,12 ,13]with m1 =…     

POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEM FOR NONLINEAR RETARDED DIFFERENTIAL EQUATION

§1　IntroductionAt present,boundary value problems (BVPs) are widely investigated with variousmethods and techniques. BVPs with integral boundary conditions constitute a veryinteresting class of problems such as multipoint,three-point,four-point and nonlocalboundary value problems which are considered by many authors.And the existence ofpositive solutions for these problems becomes the subjectof many papers[1—6] .In a recentpaper[7] ,the authors have studied the existence of positive solut…     

MODIFIED APPROXIMATE PROXIMAL POINT ALGORITHMS FOR FINDING ROOTS OF MAXIMAL MONOTONE OPERATORS

§1　Introduction and preliminariesA set T Rn×Rnis called a monotone operator on Rn,if T has the property(x,y) ,(x′,y′)∈T 〈x -x′,y -y′〉≥0 ,where〈·,·〉denotes the inner product on Rn.T is maximal if(considered as a graph) itis not strictly contained in any other monotone operator on Rn.It is well known that thetheory of maximal monotone operators plays an important role in the study of convexprogramming and variational inequalities since itcan provide a powerful general framework…     

DEGENERATE OPTIMAL BASIS GRAPHS IN LINEAR PROGRAMMING

§ 1　IntroductionA graph-theoretic approach for investigating basis transformations in a linear pro-gramming has been historically developed.Let V be the setof all bases with respectto thecolumn vectors of a matrix A.Two bases are called adjacentifthey can be transformed intoeach other by a pivot operation.Denote by E the set of edges each of which is incidentwith a pair of adjacentbases.Then G=(V,E) is called the basisgraph of matrix A(or ofthe corresponding LP) .Tucker[1 ] first called…     

A MIXED SUPERLINEARLY CONVERGENT ALGORITHM WITH NONMONOTONE SEARCH FOR CONSTRAINED OPTIMIZATIONS

§ 1　 IntroductionConsider the optimization problemmin{ f(x) :gj(x)≤ 0 ,j∈ I,gj(x) =0 ,j∈ L,x∈ Rn} ,(1 )where f(x) ,gj(x) :Rn→R,j∈I∪L.I={ 1 ,2 ,...,m} ,L={ m 1 ,...,m p} .We know thatthe sequential quadratic programming(SQP) [1～ 4] is one of the mostef-ficient methods to solve problem(1 ) because of its superlinear convergence.In order toovercome the Maratos effect[5] ,SQP should solve two quadratic sub-programmings ateachiteration,which,however,causes the amountof computation…     

Einfluß der Dilatation einer ebenen Phasengrenzfläche auf den Stoffdurchgang

The common methods for calculating the mass transfer across liquid-liquid interfaces in technical applications take into account the mass transfer resistances within the bulk phases. The transfer resistance of the interface and a possible coupling between the momentum and the mass transport is not taken into account. In the present paper a survey is given of theoretical approaches which can describe this coupling and the additional mass transfer resistance. A theory is proposed by Hampe which can be used to explain the coupling between momentum and mass transport employing thermodynamics of irreversible processes. On the basis of this work, the influence of the dilatation of a flat interface on the mass transfer is deduced. It is also concluded from this theory that the diffusion coefficients within the bulk phases are coupled near the thermodynamic equilibrium.     

Über den Einfluß nichtlinearer Verformungen im Grundzustand auf statische und kinetische Stabilitätsfälle der Stabtheorie

Übersicht Für einige statische und kinetische Stabilitätsfälle des geraden Stabes werden die kritischen Lasten unter Berücksichtigung der genauen, nichtlinearen Verformungen des Grundzustandes ermittelt. Bei den kinetischen Stabilitätsfällen wird zusätzlich die äußere Dämpfung beachtet.

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About the influence of non-linear deformations of the fundamental state on static and kinetic stability in the theory of rods

Summary For some conditions of static and kinetic stability of the straight rod the critical loads are determined with special regard to the exact, non-linear deformations of the fundamental state. In case of kinetic stability the external damping is additionally taken into account.