A Banach space where minimal weak cuscos are generically compact-valued

The space of continuous functions on the double arrow space has long been of interest in differentiability theory since many convex functions on this space are densely but not generically Gâteaux differentiable. We show that this space has the property that minimal weak* cuscos into its dual take compact values at the points of a denseG set.     

Densest packings of eleven congruent circles in a circle

In 1969 Pirl provided the densest packings ofn equal circles in a circle forn 10. We will prove the optimality for the packings that were conjectured forn=11. The proof is based on elementary combinatorial and analytical techniques.     

Shock fluctuations in the asymmetric simple exclusion process

Summary We consider the one dimensional nearest neighbors asymmetric simple exclusion process with ratesq andp for left and right jumps respectively;q<p. Ferrari et al. (1991) have shown that if the initial measure isv _, , a product measure with densities and to the left and right of the origin respectively, <, then there exists a (microscopic) shock for the system. A shock is a random positionX _t such that the system as seen from this position at timet has asymptotic product distributions with densities and to the left and right of the origin respectively, uniformly int. We compute the diffusion coefficient of the shockD=lim _t t ^–1(E(X _t )²–(EX _t )²) and findD=(p–q)(–)^–1((1–)+(1–)) as conjectured by Spohn (1991). We show that in the scale the position ofX _t is determined by the initial distribution of particles in a region of length proportional tot. We prove that the distribution of the process at the average position of the shock converges to a fair mixture of the product measures with densities and . This is the so called dynamical phase transition. Under shock initial conditions we show how the density fluctuation fields depend on the initial configuration.     

Homotopy types for tamely approximable Sobolev maps between manifolds

We define a class ^p (M,N) of Sobolev maps from a manifoldM into a manifoldN, in such a way that each mapu ^p (M, N) has a well defined [p]-homotopy type, providedN satisfies a topological hypothesis. Using this, we prove the existence of minimizers in [p]-homotopy classes for some polyconvex variational problems.     

Zero cycles on conic fibrations and a conjecture of Bloch

Let X be a smooth projective surface over a number field k. Let (CH₀(X)) denote the Chow group of zero-cyles modulo rational equivalence on X. Let CH₀(X) be the subgroup of CH ₀(X) consisting of classes which vanish when going over to an arbitrary completion of k. Bloch put forward a conjecture asserting that this group is isomorphic to the Tate-Shafarevich group of a certain Galois module atttached to X. In this paper, we disprove this general conjecture. We produce a conic bundle X over an elliptic curve, for which the group (CH₀(X) is not zero, but the Galois-theoretic Tate-Shafarevich group vanishes.     

On Segal-Wilson's construction for the τ-functions of the constrained KP hierarchies

In this Letter, we study the constrained KP hierarchies by employing Segal-Wilson's theory on the -functions of the KP hierarchy. We first describe the elements of the Grassmannian which correspond to solutions of the constrained KP hierarchy, and then we show how to construct its rational and soliton solutions from these elements of the Grassmannian.     

海芋凝集素的理化性质鉴定

采用葡聚糖凝胶１００（ＳｅｐｈａｄｅｘＧ－１００）从天南星科植物海芋（Ａｌｏｃａｓｉａｏｄｏｒａ（Ｒｏｘｂ）Ｃ．Ｋｏｃｈ）中分离出了一种凝集素（简称ＡＯＬ）．ＡＯＬ对兔血有较强的凝集效果,而对各类型人血的凝集活力较弱,在３种糖蛋白中,猪甲状腺球蛋白对ＡＯＬ的凝血活力抑制最强;ＡＯＬ对培养人外周血白细胞的转化率高达７９％,超过对照ＰＨＡ的转化率;用ＳｅｐｈａｄｅｘＧ－２００柱测得ＡＯＬ的相对分子质量为３１５００;用癌细胞体外培养的方法证明了ＡＯＬ对肺腺癌细胞株Ｐ１８具有较强的直接杀伤能力．此外还发现ＡＯＬ对温度（８０℃以下）、变性剂（盐酸胍和脲）有较高的稳定性,在ｐＨ６～１０的范围内相当稳定．     

Photoconductivity of fullerene derivatives

Two fullerene derivatives (compounds 1 and 2) have been synthesized. Their redox properties have been measured by cyclic voltammetry. The photoconductivities of poly(N_vinylcarbazo_le) (PVK) doped with fullerene and with their derivatives have been studied to explore the possible relationship between the reductibility of fullerenes and the photoconductivity of fullerenes_doped PVK. The charge generation efficiencies of PVK doped with fullerene and with its derivatives have changed remarkably: the diversity of charge generation efficiency is obvious in different doping systems. The result indicates that there is charge transfer between fullerenes and PVK.     

THE TYPE OF A CLASS OF VILENKIN CONVOLUTION OPERATORS

在满足第二个数公理的零紧Ａｂｅｌ群Ｇ的空间Ｌ（Ｇ）中研究了一类Ｖｉｌｅｎｋｉｎ卷积算子的性质．该类算子包括Ｖｉｌｅｎｋｉｎ－Ｆｏｕｒｉｅｒ级数的部份和、Ｆｅｊｅｒ平均等作为特例．文中证明了这类算子是弱（１,１）型和强（ｑ,ｑ）型的,１＜ｑ＜∞．     

电动势负反馈直流调速系统研究

在分析了电压负反馈直流调速系统的优缺点基础上,本文提出了电动势负反馈调速方法,并给出了该方法的系统图、框图和静特性。对电动势负反馈双直流电动机调速系统也进行了探讨。文中还对电动势负反馈直流调速系统的优缺点和应用范围加以了分析。