Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms

We extend the matrix version of Cochran's statistical theorem to outer inverses of a matrix. As applications, we investigate the Wishartness and independence of matrix quadratic forms for Kronecker product covariance structures.     

New FIR laser lines and frequency measurements for optically pumped CD3OH

Twenty new cw FIR laser lines in CD₃OH, optically pumped by a CO₂ laser, are reported. The frequencies of 39 of the stronger laser lines were measured relative to stabilized CO₂ lasers with a fractional uncertainty, as determined by the reproducibility of the FIR frequency itself, of 2 parts in 10⁷.Contribution of the U.S. Government, not subject to copyright.     

X-Ray Mapping and Interpretation of Scatter Diagrams

Electron beam induced quantitative X-ray mapping has become a very useful characterisation tool for determining the elemental distribution in materials, whether using energy dispersive spectroscopy or wavelength dispersive spectroscopy. The X-ray intensity distributions of the elements from an X-ray map allow us to generate two dimensional and ternary scatter diagrams thus converting spatial information into concentration dimensions, which is an important tool for displaying the spatial relationships of elements or correlated elements (phases) in materials. To best understand how to use this tool, we need to understand the production and features of the scatter diagram. The type of clustering observed in the scatter diagram, whether oval, linear or spherical, can give the major and trace element distributions within phases as well as qualitative and quantitative phase information. This paper demonstrates the generation of scatter diagrams, properties of scatter diagrams, interpretation of scatter diagrams and the advantages of scatter diagrams through the use of examples.     

Admissible slopes for monotone and convex interpolation

Summary In many applications, interpolation of experimental data exhibiting some geometric property such as nonnegativity, monotonicity or convexity is unacceptable unless the interpolant reflects these characteristics. This paper identifies admissible slopes at data points of variousC ¹ interpolants which ensure a desirable shape. We discuss this question, in turn for the following function classes commonly used for shape preserving interpolations: monotone polynomials,C ¹ monotone piecewise polynomials, convex polynomials, parametric cubic curves and rational functions.     

Li3N、Mg3N2、Ca3N2催化作用的比较和分析

 Li₃N、Mg₃N₂和Ca₃N₂是高温高压下以hBN为原料合成cBN的催化剂。在实验中发现它们对常压高温下生成hBN的反应也表现出催化作用。对比了三种氮化物催化效果的差异，发现三种氮化物都只有在熔融状态下才能表现出催化效果，以及三种氮化物对生成hBN反应的催化效果与它们在高温高压下合成cBN反应的催化效果次序相似。提出了对合成hBN有催化作用的化合物也将对合成cBN表现出催化作用的观点。     

Crystallization and morphology of poly(vinylidene fluoride)/poly(3‐hydroxybutyrate) blends. I. Spherulitic morphology and growth by polarized microscopy

The development of the poly(3‐hydroxybutyrate) (PHB) morphology in the presence of already existent poly(vinylidene fluoride) (PVDF) spherulites was studied by two‐stage solidification with two separate crystallization temperatures. PVDF formed irregular dendrites at lower temperatures and regular, banded spherulites at elevated temperatures. The transition temperature of the spherulitic morphology from dendrites to regular, banded spherulites increased with increasing PVDF content. A remarkable amount of PHB was included in the PVDF dendrites, whereas PHB was rejected into the remaining melt from the banded spherulites. When PVDF crystallized as banded spherulites, PHB could consequently crystallize only around them, if at all. In contrast, PHB crystallized with a common growth front, starting from a defined site in the interfibrillar regions of volume‐filling PVDF dendrites. It formed by itself dendritic spherulites that included a large number of PVDF spherulites. For blends with a PHB content of more than 80 wt %, for which the PVDF dendrites were not volume‐filling, PHB first formed regular spherulites. Their growth started from outside the PVDF dendrites but could later interpenetrate them, and this made their own morphology dendritic. These PHB spherulites melted stepwise because the lamellae inside the PVDF dendrites melted at a lower temperature than those from outside. This reflected the regularity of the two fractions of the lamellae because that of those inside the dendrites of PVDF was controlled by the intraspherulitic order of PVDF, whereas that from outside was only controlled by the temperature and the melt composition. The described morphologies developed without mutual nucleating efficiency of the components. © 2003 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 41: 873–882, 2003     

Eph受体家族和Ephrin-A5在NSCLCs中上调表达及其临床意义

采用荧光实时定量PCR的方法在48个非小细胞肺癌组织以及配对的正常肺组织中检测Eph/ephrin 基因的mRNA水平.发现肺癌组织中EphB4, EphB3 和 ephrin-A5的表达水平与配对的正常肺组织相比分别上调了60%,81%和65%,并具有显著的统计学差异. 而且,统计学分析发现ephrin-A5的表达水平与肿瘤分型、转移、性别、吸烟以及诊断年龄等临床病理学参数之间存在显著的相关性.此外,EphA2的表达水平与肿瘤大小、家族遗传史以及诊断年龄之间也存在显著的相关性.总之,这些结果提示EphB4, EphA2, EphB3 和ephrin-A5 在肺癌的发生和发展过程中可能以一种单独或者协同的形式发挥作用.这些蛋白有可能成为研究和诊断肺癌的重要靶向基因.     

咪唑季铵盐棉纤维制备及其对DOSO_3~-吸附性能研究

本文用20%的NaOH溶液对棉纤维的预处理、醚化、接枝合成工艺进行了优化;在不同条件下,研究了咪唑季铵盐棉纤维对DOSO~-_3的吸附性能.结果表明,用NaOH预处理棉纤维后,在适当的条件下醚化棉纤维素,再用氢氧化钠作催化剂,按3 g环氧基纤维素醚与10 mL甲基咪唑配比接枝,得到白色味唑季铵盐纤维素.用咪唑季铵盐棉纤维对DOSO~-_3进行吸附,吸附率可达91.8%,吸附效果令人满意.