Hydrothermal Synthesis, Crystal Structure and Electrochemical Properties of Complex Cu(α-Furacrylic acid)2(phen)

The title complex (C26H18CuN2O6, Mr=517.96) has been synthesized by the reaction of α-furanacrylic acid with 1,10-phenanthroline (phen) in the solvent mixture of water and methanol. Crystal data: monoclinic, space group C2/c with a=2.2927(4), b=1.01248(18), c=1.05061(18) nm, β=111.188(3)°, V=2.274(7) nm3, Dc=1.513 g/cm3, Z=4, F(000)=1060,μ=1.007mm-1, R=0.0320 and wR=0.0781. The crystal structural analysis shows that the copper atom is coordinated with four oxygen atoms from two α-furacrylic acids and two nitrogen atoms from 1,10-phenanthroline, giving a distorted octahedral coordination geometry. The result of electrochemical analysis shows that the electron transfer in the electrode reaction is quasi-reversible.     

2-piercings via graph theory

We provide a very simple proof for a Helly-type result given by Danzer and Grünbaum on 2-piercings of box families in d-dimensional Euclidean space.     

A note on the representation for the Drazin inverse of block matrices

In this note we consider representations of the Drazin inverse of 2×2 block matrices under conditions weaker than those used in recent papers on the subject, in particular in [D.S. Djordjević, P.S. Stanimirović, On the generalized Drazin inverse and generalized resolvent, Czechoslovak Math. J. 51 (126) (2001) 617–634; R. Hartwig, X. Li, Y. Wei, Representations for the Drazin inverse of 2×2 block matrix, SIAM J. Matrix Anal. Appl. 27 (2006) 757–771].     

紫外光学薄膜的镀制结果

介绍使镀膜设备具有镀紫外光学薄膜功能进行的技术改造，给出几种紫外光学薄膜的镀制结果。     

二阶非线性边值问题解的存在唯一性定理

考虑方程ｙ‘’＋ｆ（ｔ，ｙ，ｙ‘）＝０在边值条件ｙ（ａ）＝Ａ，ｙ（ｂ）＝Ｂ下解的存在唯一性，要求ｆ满足Ｌ＾２－Ｃａｒａｔｈｅｏｄｏｒｙ条件，在Ｌ＾２空间中利用映象原理得到解唯一存在的最优结果。     

Detecting dark energy in long baseline neutrino oscillations

In this paper, we discuss a possibility of studying properties of dark energy in long baseline neutrino oscillation experiments. We consider two types of models of neutrino dark energy. For one type of models the scalar field is taken to be quintessence-like and for the other phantom-like. In these models the scalar fields couple to the neutrinos to give rise to spatially varying neutrino masses. We will show that the two types of models predict different behaviors of the spatial variation of the neutrino masses inside the Earth and consequently result in different signals in long baseline neutrino oscillation experiments.     

FRACTIONAL INTEGRALS OF THE WEIERSTRASS FUNCTIONS： THE EXACT BOX DIMENSION

The present paper investigates the fractal structure of fractional integrals of Weierstrass functions. The ezact box dimension for such functions many important cases is established. We need to point out that, although the result itself achieved in the present paper is interesting, the new technique and method should be emphasized. These novel ideas might be useful to establish the box dimension or Hausdorff dimension (especially for the lower bounds) for more general groups of functions.     

Approximation by Complex Baskakov-Sz ′asz-Durrmeyer Operators in Compact Disks

In this paper, we deal with the complex Baskakov-Sz ′asz-Durrmeyer mixed operators and study Voronovskaja type results with quantitative estimates for these operators attached to analytic functions of ...