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.     

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.     

Clifford半群的平坦性刻划

半群Ｓ称为Ｃｌｉｆｏｒｄ半群,如果它是群的强半格．利用左Ｓ１系的平坦性给出了Ｃｌｉｆｏｒｄ半群的特征刻划．     

合肥地区高校安居园工程可行性研究

文章针对合肥地区高校教师住房面积普遍偏小,尤其是中青年教师住房十分困难。经过对合肥地区高等院校教师现有住房情况的调研,提出了建造高等院校教师安居园工程的设想及实施方案,对实施“科教兴皖”的战略方针具有现实意义。     

贫困地区如何发展农业产业化（一）

山西省是全国主要的贫困省份之一。实施主导产业覆盖贫困乡村战略,搞农业产业化开发是山西省脱贫的有效途径。文章论述了贫困地区发展农业产业化的必要性及其难点,提出了贫困地区发展农业产业化的对策     

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．     

盐胁迫下Na^＋,K^＋,Cl^—对碱蓬和玉米离子的吸收效应

用ＮａＣｌ、ＫＣｌ、ＮａＮＯ３和ＫＮＯ３处理碱蓬（Ｓｕａｅｄａｓａｌｓａ）和玉米（Ｚｅａｍａｙｓ）幼苗,发现ＮａＣｌ胁迫引起Ｋ＋、Ｃａ２＋、Ｍｇ２＋、Ｆｅ２＋、Ｚｎ２＋、ＮＯ－３等必需元素的含量降低．认为ＫＣｌ和ＫＮＯ３处理引起碱蓬幼苗幼叶黄化的主要原因是Ｎａ＋的缺乏;ＫＣｌ处理引起玉米和碱蓬幼苗的干枯死亡主要是由于植物体内高浓度Ｃｌ－引起的;Ｎａ＋是引起盐生植物碱蓬叶片肉质化的重要因子;Ｃｌ－是刺激碱蓬生长的重要因子     

Stability of the Sarcin/Ricin domain of 28S RNA in rat ribosome under hydrostatic pressure

Under 2 100 bar of hydrostatic pressure, KNA N-glycosidase can still cleave the N-C bond of adenosine at position 4324 in R/S domain of 28S RNA in rat ribosome, demonstrating that high pressure has no effect on the tertiary structure of S/R domain.     

Preparation and optical properties of solid solution semiconductor (Zn x Cd1−x S) doped silica glasses

Semiconductor(Zn_xCd_1−x S) doped silica glasses were prepared by Sol-Gel process andin situ growth technique. The structure of the materials was characterized by X-ray diffraction technique, the particle size of semiconductor crystallites from X-ray patterns was estimated less than 10 nm. From absorption spectra, it is obtained that the absorption edges shifted to short wavelength direction when Zn contents increased, and the absorption edge can be adjusted from 2.46 eV to 2.96 eV by controlling Zn contents. The third-order nonlinear optical susceptibility was studied at 532 nm with 8 ns pulse laser by degenerate four wave mixing (DFWM) technique.