含有k-次增生算子T的方程x+Tx=f的带误差的Ishikawa迭代解

建立了强收敛于方程x Tx=f的解的带误差的Ishikawa迭代过程,其中T是一致光滑Banach空间中的一个在D(T)既不必有界又不必连续(因而不必Lipschitz)的k 次增生算子,推广了一些已有的结果.     

关于k-次增生算子方程的具误差的Ishikawa迭代解

在任意Banach空间中,研究了非线性算子方程x+Tx=f的分别带2种误差的Ishikawa迭代序列的收敛性问题,其中T不必是增生的,也不必是Lipschitz的.     

非线性方程x+Tx=f的带误差的Mann迭代解

在一致光滑的Banach空间中，研究了含k-次增生算子T的方程x Tx=f的迭代解，这里T在D（T）上，既不必是增生的，也不必是连续的（因而也不必是Lipschitz的），因此，推广了一些已知的结果。     

含有k次增生算子的方程x+Tx=f的具混合误差的Ishikawa迭代解

研究了一致光滑Banach空间中，k-次增生算子方程x Tx=f解的具混合误差的迭代过程．其中T不必是Lipschitz的，也不必是有界的．     

凸度量空间中一致拟Lipschitzian映象的不动点迭代

证明了完备凸度量空间中一致拟Lipschitzian映象T的带混合误差的三步迭代序列收敛到不动点的一些充分必要条件．其中T不必是连续的．     

拓扑系统的(强)T2分离性

提出拓扑系统的一种新的T2分离性——强T2分离性,给出了T2拓扑系统的网式收敛刻画和强T2拓扑系统的滤子式收敛刻画.证明了拓扑系统的(强)T2分离性都是T0拓扑空间类的T2分离性的良好推广,证明了一个loca le是T2loca le当且仅当它是强T2的拓扑系统.构造了例子说明T2拓扑系统不必是强T2的拓扑系统,讨论了(强)T2拓扑系统的loca le化、空间化、子系统、和系统以及积系统等方面的运算性质.     

Graffiti的三个猜想

本文证明了当树 T 的|V(T)|≥3时,T 的每个点平均度的倒数和 I_d(T)与其半径 R(T)满足1/3≤I_d(T)—R(T),并举例否定了第579及第580两个猜想。     

k次增生算子方程的Ishikawa迭代解

研究了一致光滑Banach空间中K—次增生算子的非线性方程解的迭代过程．其中K—增生算子T不必是Lip—ehitx的，也不必是有界的．改进和发展了一些文献中的结果。     

T与*- Aluthge-变换(T)(*)的核之间的关系

主要研究了T与它的*-Aluthge-变换(T)(*)的一些相似性质,如:当λ≠0时,T-λ核的维数减去((T)-λ)*核的维数等于((T)(*)-λ)核的维数减去(T(*)-λ)*核的维数;当λ≠0时,(T-λ)n的核与(T-λ)n+1的核相等当且仅当((T)(*)-λ)n的核与((T)(*)-λ)n+1的核相等, 对某个n∈N.     

渐近拟非扩张映象的带误差的Ishikawa迭代序列

在Banach空间中，对渐近拟非扩张映象T证明了带误差的Ishikawa迭代序列收敛到不动点的一个充分必要条件，其中T不必是连续的。     

Mean-field cluster model for the critical behaviour of ferromagnets

Two separate theories are often used to characterize the paramagnetic properties of ferromagnetic materials. At temperatures T well above the Curie temperature, Tc (where the transition from paramagnetic to ferromagnetic behaviour occurs), classical mean-field theory yields the Curie-Weiss law for the magnetic susceptibility: X(T) infinity 1/(T - Weiss constant), where Weiss constant is the Weiss constant. Close to Tc, however, the standard mean-field approach breaks down so that better agreement with experimental data is provided by critical scaling theory: X(T) infinity 1/(T - Tc)gamma, where gamma is a scaling exponent. But there is no known model capable of predicting the measured values of gamma nor its variation among different substances. Here I use a mean-field cluster model based on finite-size thermostatistics to extend the range of mean-field theory, thereby eliminating the need for a separate scaling regime. The mean-field approximation is justified by using a kinetic-energy term to maintain the microcanonical ensembles. The model reproduces the Curie-Weiss law at high temperatures, but the classical Weiss transition at Tc = Weiss constant is suppressed by finite-size effects. Instead, the fraction of clusters with a specific amount of order diverges at Tc, yielding a transition that is mathematically similar to Bose-Einstein condensation. At all temperatures above Tc, the model matches the measured magnetic susceptibilities of crystalline EuO, Gd, Co and Ni, thus providing a unified picture for both the critical-scaling and Curie-Weiss regimes.     

Soluble CD4 blocks the infectivity of diverse strains of HIV and SIV for T cells and monocytes but not for brain and muscle cells

The CD4 antigen has been subverted as a receptor by the human and simian immunodeficiency viruses (HIV-1, HIV-2 and SIV). Several groups have reported that recombinant, soluble forms of the CD4 molecule (sCD4) block the infection of T lymphocytes by HIV-1, as CD4 binds the HIV envelope glycoprotein, gp120, with high affinity. We now report that sCD4 blocks diverse strains of HIV-1, HIV-2 and SIV, but is less effective for HIV-2. The blocking effect is apparent even after adsorption of virions to CD4 cells. Soluble CD4 prevents HIV infection of T-lymphocytic and myelomonocytic cell lines, but neither sCD4 nor anti-CD4 antibodies inhibit infection of glioma and rhabdomyosarcoma cell lines.     

哈茨木霉T23和3种土壤有益细菌的相互作用对白菜生长的影响

哈茨木霉T23对白菜生长的影响及叶绿素含量变化的影响不明显,也不能提高白菜硝酸还原酶的活性;3种供试细菌放线菌、光合细菌及乳酸杆菌均能促进植物的生长,提高白菜硝酸还原酶的活性,白菜叶绿素含量明显偏低;哈茨木霉T23与3种供试细菌两两混合使用对白菜的促生效果均比单独使用各供试细菌的效果明显,硝酸还原酶活性明显增加,白菜叶绿素含量明显偏低.哈茨木霉T23和3种供试细菌两两混合使用,4种供试菌的含量均比单独使用时显著增加.     

关于BCK代数的模型论性质

研究BCK代数的逻辑性质,对于形式化的BCK代数理论T,证明了在子模型和链连接下T是保存的;T既不具有完备性也不具有模型完备性,因此存在非构建的Skolem函数.另外,通过使用超滤子的概念以及所讨论的模糊理想的相应的性质,提出了超积BCK代数和BCK代数模糊子集的模糊超积.     

西北太平洋生成热带气旋的年代际变化

为了分析热带气旋年代际变化的特征和造成这种变化的原因,利用西北太平洋编号台风资料对1949～2003年55 a的西北太平洋热带气旋特点进行分析,发现西北太平洋生成的热带气旋不管是频数还是生成位置都存在明显的年代际变化,根据热带气旋频数的年代际变化,把研究的55 a分成低频时期(LFP)和高频时期(HFP)分别加以考察.结果发现:热带气旋生成的高低频时期海气条件存在明显的差异,HFP的海温、对流、涡散度和切变条件都有利于西北太平洋热带气旋的生成,而LFP则明显存在物理量场的相反异常.这表示HFP的海气环境相比LFP更有利于热带气旋生成,说明了变化的海气条件是引起热带气旋频数和生成位置年代际变化的主要原因.     

Transient expression of IL-2 receptor precedes the differentiation of immature thymocytes

The growth of mature T lymphocytes after activation by antigen is regulated by the binding and endocytosis of interleukin-2 (IL-2). In the thymus, approximately 50% of adult thymocytes that carry neither the CD4 nor the CD8 antigen and day 14-15 fetal CD4-8- thymocytes express receptors for IL-2(IL-2R). The CD4-8- (double-negative) subpopulation of thymocytes contains the precursors of cells that can differentiate along an unknown pathway into thymocytes bearing either CD8 or CD4, with the characteristics of mature T lymphocytes. The basis for IL-2R expression by double-negative thymocytes is unclear as they appear to lack a functional T-cell receptor/CD3 complex through which activation of peripheral T cells is mediated. The argument for a role for IL-2 in thymocyte differentiation has also been complicated by conflicting reports on the inability or capability of double-negative thymocytes to respond to IL-2 in vitro. At present, both the nature of the stimuli within the thymic micro-environment which induce IL-2R expression and its relevance to thymocyte differentiation are not known. We show here that the IL-2R-bearing subset has a greater potential to differentiate into phenotypically mature T lymphocytes than do IL-2R-negative thymocytes. In addition, progeny of IL-2R-negative donor cells transiently express IL-2R in the thymuses of adoptive hosts before generating CD8 and/or CD4-positive thymocytes. These results identify the IL-2R-positive cells as a more differentiated double-negative thymocyte subset on the pathway to mature T lymphocytes.     

R0-代数上的滤子拓扑空间

在R0-代数M上以全体MP滤子之集为拓扑基建立了一个滤子拓扑空间(M,TM),给出了导集、闭包以及内部的计算公式。证明了(M,TM)是连通的、覆盖紧的且满足第一可数性公理;(M,TM)满足第二可数性公理当且仅当主滤子之集是可数集,(M,TM)不是T1的,不是T2的,也不是正则的或正规的;(M,TM)是T0空间当且仅当M是Boole代数。最后讨论了积R0-代数上的积空间。     

Phytohaemagglutinin activation of T cells through the sheep red blood cell receptor

Expression of receptors for sheep red blood cells and the ability to proliferate in response to phytohaemagglutinin (PHA) are the traditional properties of human T cells, but the function of the sheep red cell receptor (the T11 antigen) is controversial and the mechanism of PHA-induced mitogenesis unclear. Mitogenesis involves a complex series of cell-mediated and factor-dependent interactions, but a rise in intracellular free calcium concentration, [Ca2+]i, seems to be an important primary event in T-cell activation. We have now investigated the effects of three monoclonal antibodies, previously shown to inhibit mitogen-induced proliferation, on T-cell [Ca2+]i. We find that anti-LFA-2 and OKT11, which react with the sheep red cell receptor, have no effect on [Ca2+]i, nor do they inhibit the rise in [Ca2+]i induced by concanavalin A (Con A) or the mitogenic anti-T3 monoclonal antibody UCHT1 (ref. 11). They do, however, block PHA-induced Ca2+ mobilization. Anti-LFA-1, which reacts with the lymphocyte function-associated antigen, has no effect on intracellular Ca2+. These studies suggest that the sheep red blood cell receptor is an activation pathway for T cells and that the effects of PHA are mediated through this pathway.