Searching for a counterfeit coin with b-balance

We consider the classical problem of searching for a heavier coin in a set of n coins, n-1 of which have the same weight. The weighing device is b-balance which is the generalization of two-arms balance. The minimum numbers of weighings are determined exactly for worst-case sequential algorithm, average-case sequential algorithm, worst-case predetermined algorithm, average-case predetermined algorithm.We also investigate the above search model with additional constraint: each weighing is only allowed to use the coins that are still in doubt. We present a worst-case optimal sequential algorithm and an average-case optimal sequential algorithm requiring the minimum numbers of weighings.     

离子束引起的在Al／Cr双层薄膜界面处的原子混合

用600keV的Kr~ 离子轰击Al/Cr双层薄膜样品进行界面原子反应及相互混合的研究。实验样品是在单晶硅上蒸镀约500nm厚的铝膜,相继再蒸上所需厚度的铬膜而制成的。轰击剂量为2.0×10~(15)-2.5×10~(16)Kr~ /cm~2。用2.0MeVa粒子对轰击前后的样品进行了卢瑟福背散射(RBS)分析,发现界面处有明显的原子混合存在;当轰击剂量≥1.0×10~(16)Kr~ /cm~2时,RBS谱出现有明显的坪台,经拟合计算和x射线衍射(XRD)测量证实确有化合物Al_(13)Cr_2存在;还分别得到了原子混合量及混合效率与轰击剂量的关系;最后对界面处的原子混合机制进行了讨论。     

非线性参数估计的极小化L∞模方法

研究了L∞模的拟凸性质，利用极大熵方法得到极小化L∞模的Q算法．这是一种具有显式搜索方向的变尺度算法，在非线性参数估计中取得较好效果．     

Wavelet and harmonic filtering for distortion-invariant volume holographic correlation

The wavelet and harmonic filtering method suggested by Zalevsky and Ouzieli is introduced in this paper and adopted in our volume holographic image recognition system. This composite filter combines several scaled versions of the cascaded wavelet and harmonic filter, obtaining high discrimination ability and wide dynamic range of rotation and scale deformations. Optical experiments are conducted to demonstrate the validity and practicability of the algorithm. To the best of our knowledge, this is the first report of using this algorithm in a volume holographic system. Moreover, the separate correlation approach proposed in this paper greatly simplifies the manufacturing process and reduces the cost of the system.     

α-亚甲基-γ-丁内酰胺衍生物的合成进展

α-亚甲基-γ-丁内酰胺衍生物具有细胞毒性、抗肿瘤等生理活性, 有关这些化合物的合成方法一直是人们感兴趣的课题之一。本文拟就(1)含必要官能团的开链前体的成环反应, (2)现成的γ-丁内酰胺的α-亚甲基化反应等两个方面对α-亚甲基-γ-丁内酰胺的合成方法进行综述。     

Diffusiophoretic mobility of charged porous spheres in electrolyte gradients

The diffusiophoretic motion of a polyelectrolyte molecule or charged floc in an unbounded solution of a symmetrically charged electrolyte with a uniform prescribed concentration gradient is analytically studied. The model used for the particle is a porous sphere in which the density of the hydrodynamic frictional segments, and therefore also that of the fixed charges, is constant. The electrokinetic equations which govern the electrostatic potential profile, the ionic concentration distributions (or electrochemical potential energies), and the fluid velocity field inside and outside the porous particle are linearized by assuming that the system is only slightly distorted from equilibrium. Using a regular perturbation method, these linearized equations are solved for a charged porous sphere with the density of the fixed charges as the small perturbation parameter. An analytical expression for the diffusiophoretic mobility of the charged porous sphere in closed form is obtained from a balance between its electrostatic and hydrodynamic forces. This expression, which is correct to the second order of the fixed charge density of the particle, is valid for arbitrary values of kappaa and lambdaa, where kappa is the reciprocal of the Debye screening length, lambda is the reciprocal of the length characterizing the extent of flow penetration inside the particle, and a is the particle radius. Our result to the first order of the fixed charge density agrees with the corresponding solution for the electrophoretic mobility obtained in the literature. In general, the diffusiophoretic mobility of a porous particle becomes greater as the hindrance to the diffusive transport of the solute species inside the particle is more significant.     

Catalytic Adsorptive Stripping Voltammetry of Germanium(IV) in the Presence of Gallic Acid and Vanadium(IV)‐EDTA

A highly sensitive and selective catalytic adsorptive cathodic striping procedure for the determination of trace germanium is presented. The method is based on adsorptive accumulation of the Ge(IV)‐gallic acid (GA) complex onto a hanging mercury drop electrode, followed by reduction of the adsorbed species. The reduction current is enhanced catalytically by addition of vanadium(IV)‐EDTA. The optimal experimental conditions include the use of 0.03 mol/L HClO₄ (pH1.6), 6.0×10^?3 mol/L GA, 3.0×10^?3 mol/L V(IV), 4.0×10^?3 mol/L EDTA, an accumulation potential of ?0.10 V(vs. Ag/AgCl), an accumulation time of 120 s and a differential pulse potential scan mode. The peak current is proportional to the concentration of Ge(IV) over the range of 3.0×10^?11 to 1.0×10^?8 mol/L and the detection limit is 2×10^?11 mol/L for a 120 s adsorption time. The relative standard deviation at 5.0×10^?10 mol/L level is 3.1%. No serious interferences were found. The method was applied to the determination of germanium in ore, mineral water and vegetable samples with satisfactory results.     

3,5-diBr-DMPAP直接光度法测定葡萄糖酸锌含量

为建立一种快速、简便、灵敏测定葡萄糖酸锌含量的方法,在非离子型表面活性剂聚氧乙烯异辛基苯基醚(TritonX-100)存在下,用2-(3,5-二溴-2-吡啶偶氮)-5-二甲氨基酚(3,5-diBr-DM-PAP)作显色剂,直接光度法测定了葡萄糖酸锌。结果表明,该法显色络合物最大吸收波长为560 nm,线性范围为0~1.5μg.mL-1,表观摩尔吸光系数为1.10×105L.mol-1.cm-1,回收率为98.7%~102.2%,具有操作快速、简便,结果灵敏可靠等优点,应用该法直接测定补锌口服液葡萄糖酸锌含量,结果满意。     

CdS/SiO2复合材料的低频Raman散射研究

对用溶胶凝胶法制备的ＣｄＳ／ＳｉＯ２复合材料进行低频Ｒａｍａｎ散射研究，结果表明可从其低频Ｒａｍａｎ散射峰位计算出ＣｄＳ微晶的粒径，两种不同的低频振动模式由激发光的两种偏振方向加以区分，低频Ｒａｍａｎ散射射的二级散射峰根据实验结果加以指认，所得平均粒径结果与透射电镜观察结果有较好的对应关系，复合材料吸收光谱吸收边蓝移与ＣｄＳ纳米子粒径之间存在着密切的关系，实验证明，样品吸收边能量与ＣｄＳ平均粒径的