Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball

In this paper, Schwarz-Pick estimates of arbitrary order partial derivatives for holomorphic mappings from the polydisk to the unit ball are presented. We generalize the early work on Schwarz-Pick estimates of higher order derivatives for bounded holomorphic functions on the unit disk and the polydisk.     

GPU-accelerated atom and dynamic bond visualization using hyperballs: a unified algorithm for balls, sticks, and hyperboloids

Ray casting on graphics processing units (GPUs) opens new possibilities for molecular visualization. We describe the implementation and calculation of diverse molecular representations such as licorice, ball-and-stick, space-filling van der Waals spheres, and approximated solvent-accessible surfaces using GPUs. We introduce HyperBalls, an improved ball-and-stick representation replacing tubes, linking the atom spheres by hyperboloids that can smoothly connect them. This type of depiction is particularly useful to represent dynamic phenomena, such as the evolution of noncovalent bonds. It is furthermore well suited to represent coarse-grained models and spring networks. All these representations can be defined by a single general algebraic equation that is adapted for the ray-casting technique and is well suited for execution on the GPU. Using GPU capabilities, this implementation can routinely, accurately, and interactively render molecules ranging from a few atoms up to huge macromolecular assemblies with more than 500,000 particles. In simple cases, based only on spheres, we have been able to display up to two million atoms smoothly.     

Equivalent characterizations of <Emphasis Type="Italic">α</Emphasis>-Bloch functions on the unit ball

In this paper we establish equivalent characterizations of α-Bloch functions on the unit ball without use of derivative, which generalize and improve the results of Nowak, Zhao, Wulan and Li.     

Synthesis, structural, magnetic and optical properties of nanocrystalline ZnFe2O4

Nanocrystalline zinc ferrite (ZnFe₂O₄) is synthesized by high-energy ball-milling after 12 h from a powders mixture of zinc oxide (ZnO) and hematite (α-Fe₂O₃) with balls to powders mass ratio of 20:1. X-ray diffraction, vibrating sample magnetometer (VSM), the Mössbauer spectrometry and photoluminescence (PL) are used to characterize the samples. Rietveld analysis and VSM measurements show that the powder has an average crystallites size of 10 nm and a ferrimagnetic behavior with a saturation magnetization of 30 emu/g. After annealing at 700 °C, the lattice parameter reduces from 8.448 to 8.427 Å and the sample transforms into a superparamagnetic behavior, which was confirmed as well by the room temperature Mössbauer spectrometry. Different mechanisms to explain the obtained results and the correlation between magnetism and structure are discussed. Finally, the broadband visible emission band is observed in the entire PL spectrum and the estimated energy band gap is about 2.13 eV.     

ZrOCl2掺杂的磷硅酸盐凝胶的机械化学合成

纯磷硅酸盐干凝胶在潮湿环境下存放会使磷酸从中析出,导致其质子电导率显著下降。为此,人们通常采用化学改性处理的方式以解决其化学耐久性差的问题。利用ZrOCl2.8H2O通过溶胶凝胶法对磷硅酸盐进行掺杂,我们发现掺杂量为0.97%时,所得凝胶的质子电导率最高。基于此,本文利用高能球磨技术研究了磷硅酸盐凝胶的ZrOCl2掺杂。研究结果表明:机械研磨能够提高原料混合物的质子电导率,当研磨时间为10 h时,所得材料的质子电导率最大,σ130=2.4 S·m-1。这一数值与利用溶胶-凝胶法制备的同样化学成分的样品相同。但前者的质子传导激活能高于后者,造成这一差别的主要原因是两者内部的组织结构存在一定差别。31P NMR(Nuclear Magnetic Resonance核磁共振)谱测试结果表明:机械研磨处理的样品(尤其MM10 h)化学耐久性较好。     

落球法测液体黏度的改进

对落球法测量液体黏度实验进行改进,充分利用物理天平称量精度较高的特性,采用称量及求比值的方法求出小球在液体中受力的大小.该方法避免了一些计算误差和测量误差,可提高测量精度.     

液体粘滞系数测量仪器的研究

粘滞系数的测量是大学物理基础实验,有三种测量方法,其中落球法实验仪器被多数高校实验室认同。针对目前高校实验室粘滞系数测量仪器在仪器维护、测量方法及数据处理等方面存在的问题进行设计。新仪器操作简单,维修快捷,测量结果准确,相对误差为0.13%。     

38CrSi高强度钢端铣铣削力系数实验研究

建立了端铣动态铣削力模型和铣削力系数经验模型,进行了38CrSi高强度钢端铣实验,采用偏最小二乘法对铣削力系数经验模型系数进行辨识,分析了切削参数及其互交作用对铣削力系数的影响变化规律.实验结果表明:在选定的实验范围内,铣削力模型和铣削力系数经验模型均具有较高的精度;每齿进给量对铣削力系数影响最显著,轴向切削深度次之,切削速度影响最小;切削参数之间的交互作用可以忽略.     

灵武煤制水煤浆级配技术研究

在提出间隙级配模型的基础上,用QQ4A／B轻型球磨机和PSI-200拍击式标准振筛机,分析了煤料粒度为0．1～1．0,0．3～1．25mm,m（钢珠）：m（煤）=8：1～12：1,研磨罐转速为90～110r／min,研磨时间为15-60min条件下,钢珠添加种类对研磨效率的影响;并用DV-1＋PR0黏度计测试了浆体黏度．结果表明,用直径间隙法可以获得较高浓度的水煤浆,其中钢珠添加种类为R1：R2：R3=1：0．414：0．291模式下水煤浆浓度较大．