CUTTING CORNERS PRESERVES LIPSCHITZ CONTINUITY

ＣＵＴＴＩＮＧＣＯＲＮＥＲＳＰＲＥＳＥＲＶＥＳＬＩＰＳＣＨＩＴＺＣＯＮＴＩＮＵＩＴＹ￥ＦＥＮＧＹＵＹＵ（Ｄｅｐｔ．ｏｆＭａｔｈ．ＵＳＴＣ，Ｈｅｆｅｉ，２３００２６，Ｐ．Ｒ．Ｃｈｉｎａ）ＪＥＲＮＥＪＫＯＺＡＫ（Ｄｅｐｔ．ｏｆＭａｔｈ．Ｕｎｉｖｅｒｓｉｔ...     

THE EQUILIBRIUM PROBLEM AND CAPACITY FOR JUMP MARKOV PROCESSES

（刘禄勤）ＴＨＥＥＱＵＩＬＩＢＲＩＵＭＰＲＯＢＬＥＭＡＮＤＣＡＰＡＣＩＴＹＦＯＲＪＵＭＰＭＡＲＫＯＶＰＲＯＣＥＳＳＥＳ￥ＬｉｕＬｕｑｉｎ（Ｄｅｐｔ，ｏｆＭａｔｈ．，ＷｕｈａｎＵｎｉｖｅｒｓｉｔｙ，Ｗｕｈａｎ４３００７２，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：...     

SUBCRITICAL ASYMPTOTIC BEHAVIOR IN THE MODIFIED LUSHNIKOV PROCESS OF POLYMERIZATION

ＳＵＢＣＲＩＴＩＣＡＬＡＳＹＭＰＴＯＴＩＣＢＥＨＭＩＯＲＩＮＴＨＥＭＯＤＩＦＩＥＤＬＵＳＨＮＩＫＯＶＰＲＯＣＥＳＳＯＦＰＯＬＹＭＥＲＩＺＡＴＩＯＮ￥ＨａｎＤｏｎｇ（韩东）（Ｄｅｐｔ．ｏｆＭａｔｈ．，Ｕｎｉｖ．ｏｆＸｉｎｊｉａｎｇ，Ｕｒａｍｇｉ８５００...     

A Generalization of Univaleby Functions with Negative Coefficients

ＡＧｅｎｅｒａｌｉｚａｔｉｏｎｏｆＵｎｉｖａｌｅｎｔＦｕｎｃｔｉｏｎｓｗｉｔｈＮｅｇａｔｉｖｅＣｏｅｆｆｉｃｉｅｎｔｓＭ．ＫＡｏｕｆ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＦａｃｕｌｔｙｏｆＳｃｉｅ．，Ｕｎｉｖ．ｏｆＭａｎｓｏｕｒａ，Ｍａｎｓｏｕｒａ，Ｅｇｙｐｔ...     

星像函数的某些积分算子（英）

ＣｅｒｔａｉｎＩｎｔｅｇｒａｌＯｐｅｒａｔｏｒｓｆｏｒＳｔａｒｌｉｋｅＦｕｎｃｔｉｏｎｓＢ．Ａ．ＵｒａｌｅｇａｄｄｉＣ．Ｓｏｍａｎａｔｈａ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＫａｒｎａｔａｋＵｎｉｖｅｒｓｉｔｙ，Ｄｈａｒｗａｄ５８０００３，Ｉｎｄｉａ）Ｃｅｒ...     

VACUUM PROBLEM FOR THE DAMPED p-SYSTEM

ＶＡＣＵＵＭＰＲＯＢＬＥＭＦＯＲＴＨＥＤＡＭＰＥＤｐ－ＳＹＳＴＥＭＺｈｅｎｇＹｏｎｇｓｈｕ（郑永树）（Ｄｅｐｔ．ｏｆＡｐｐｌ．Ｍａｔｈ．，ＨｕａｑｉａｏＵｎｉｕｅｒｓｉｔｙ，Ｑｕａｎｚｈｏｕ，３６２０１１，Ｃｈｉｎａ．）Ａｂｓｔｒａｃｔ：Ｔｈｅａｕｔ...     

On Steffensen's Inequality

ＯｎＳｔｅｆｆｅｎｓｅｎ＇ｓＩｎｅｑｕａｌｉｔｙ￥ＣａｏＹｕａｎ（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＦｕｄａｎＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ２００４３３）Ｋｅｙｗｏｒｄｓ：ｉｎｅｑｕａｌｉｔｙ．ＣｌａｓｓｉｆｉｃａｔｉｏｎＡＭＳ（１９９１）２６Ｄ１５...     

An Algorithm of Witten‘s Invariants of SOme 3—manifolds

ＡｎＡｌｇｏｒｉｔｈｍｏｆＷｉｔｔｅｎ＇ｓＩｎｖａｒｉａｎｔｓｏｆＳｏｍｅ３－ｍａｎｉｆｏｌｄｓＬｉＱｉｓｈｅｎｇ（李起升）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｅｎａｎＵｎｉｖｅｒｓｉｔｙ，ＫａｉｆｅｎｇＣｉｔｙ，４７５０００）Ａｂｓｔｒａｃｔ：Ｉｎｔｈｉ...     

ON INITIAL BOUNDARY VALUE PROBLEMS FOR NONLINEAR SCHRDINGER EQUATIONS

ＯＮＩＮＩＴＩＡＬ　ＢＯＵＮＤＡＲＹＶＡＬＵＥＰＲＯＢＬＥＭＳＦＯＲＮＯＮＬＩＮＥＡＲＳＣＨＲＤＩＮＧＥＲＥＱＵＡＴＩＯＮＳ￥ＬｉＹｏｎｇｓｈｅｎｇ（李用声）ＣｈｅｎＱｉｎｇｙｉ（陈庆益）（Ｄｅｐｔ．ｏｆＭａｔｈ．，ＨｕａｚｈｏｎｇＵｎｖ．ｏｆＳｃｉ...     

Concerning a Kind of Integrals of Cinmplex-Valued Functions of Large Numbers

ＣｏｎｃｅｒｎｉｎｇａＫｉｎｄｏｆｉｎｔｅｇｒａｌｓｏｆＣｏｍｐｌｅｘ－ＶａｌｎｅｄＦｕｎｃｔｉｏｎｓｏｆＬａｒｇｅＮｎｍｂｅｒｓＬ．Ｃ．Ｈｓｕ（Ｄｅｐｔ．ｏｆＭａｔｈ．Ｓｃｉ．，ＤａｌｉａｎＵｎｉｖ．ｏｆＴｅｃｈ，Ｄａｌｉａｎ１１００２３）Ｃｏｎｃ...     

三幂等矩阵的一些性质

重点探索了三幂等矩阵的性质.主要从矩阵乘积、线性变换和矩阵的秩等角度出发,将幂等矩阵的性质向三幂等矩阵推广,对三幂等矩阵的性质进行探究,得到了15个相关结论,并给出部分性质的详细推导过程.     

本质(m,l)幂等矩阵的特征研究

若有最小正整数m使当m>l时A(m)=A(l)成立,称A为本质(m,l)幕等矩阵.本文讨论了本质(m,l)幕等矩阵的特征.作为应用,给出了本质m对合、本质m幂等矩阵的等价刻画,讨论了最小多项式与本质(m,l)幕等矩阵的一些关系.     

Fuzzy标准矩阵及Fuzzy强标准矩阵

本文在格L=[0,1]上定义了Fuzzy标准矩阵及Fuzzy强标准矩阵,得出了他们的一些基本性质。证明了Fuzzy标准矩阵是幂收敛阵;给出了Fuzzy强标准矩阵的判别条件及Fuzzy强标准矩阵是幂等的充要条件。最后对Fuzzy强标准矩阵的秩进行了讨论。     

关于幂等矩阵Schur补的函数的一个性质

本文给出了关于幂等矩阵 Schur补的函数的一个性质 .     

Matrix versions of the Cauchy and Kantorovich inequalities

Summary A version of Cauchy's inequality is obtained which relates two matrices by an inequality in the sense of the Loewner ordering. In that ordering a symmetric idempotent matrix is dominated by the identity matrix and this fact yields a simple proof.A consequence of this matrix Cauchy inequality leads to a matrix version of the Kantorovich inequality, again in the sense of Loewner.     

On the Generalized Strongly Nil-Clean Property of Matrix Rings

Let R be an associative unital ring and not necessarily commutative.We analyze conditions under which every n × n matrix A over R is expressible as a sum A =E1 +…+ Es + N of (commuting) idempotent matrices Ei and a nilpotent matrix N.     

Derived Rees Matrix Semigroups as Semigroups of Transformations

An ordered pair (e,f) of idempotents of a regular semigroup is called a skew pair if ef is not idempotent whereas fe is idempotent. Previously [1] we have established that there are four distinct types of skew pairs of idempotents. We have also described (as quotient semigroups of certain regular Rees matrix semigroups [2]) the structure of the smallest regular semigroups that contain precisely one skew pair of each of the four types, there being to within isomorphism ten such semigroups. These we call the derived Rees matrix semigroups. In the particular case of full transformation semigroups we proved in [3] that T_X contains all four skew pairs of idempotents if and only if |X| ≥ 6. Here we prove that T_X contains all ten derived Rees matrix semigroups if and only if |X| ≥ 7.     

（m，l）幂等矩阵的代数等价与正交的一些性质

应用数域上（m,l）幂等矩阵与m幂等矩阵的关系,得到了数域上（m,l）幂等矩阵的l次方幂的代数等价、相似和特征多项式相等是互为确定的结论,由此推广改进了数域上m幂等矩阵的代数等价与正交性的相应结果．     

Minimum Cycle of Row Vector of a Generalized Circulant Fuzzy Matrix

51.IntroductionLetF=[O,1],foranya,beF,definea b=max{a,b},a*b=min{a,b}.Mn(F)standsforthesetofa1lthenthordermatrixesinF,matrixAinMn(F)iscalledFuzzymatrixA.Letrbeanynon-negativeinteger.lnannthordermatrix,exclusiveofthefirstrow,theelementsofeveryotherrowarethee1ementsoftheprecedingrowthatcirculaterightwardr-co1umns.Thisnthordermatrixisannthorderr-circulantFuzzymatrix(alsocalledgenearLizedcirculantFuzzymatrix)-Wecallrthecircu1antindexofr-circulantFuzzymatrix.Inthebooklistedin[1j,thisisgiven:…     

环上幂等Hermite矩阵的一个特征性质

本文证明了一类上幂等矩阵为Hermite矩阵的充要条件是Range A=RangeA.特别地给出了《美国数学月刊》1996年第4期上征解问题10519号的解答.