Simultaneous projectional skeletons

We prove the existence of a simultaneous projectional skeleton for certain subspaces of C(K)$C(K)$ spaces. This generalizes a result on simultaneous projectional resolutions of identity proved by M. Valdivia. We collect some consequences of this result. In particular we give a new characterization of Asplund spaces using the notion of projectional skeleton.     

Ti在TiY分子筛骨架中的稳定性研究

采用水热法直接合成了含过渡金属Ti的杂原TiY分子筛,并通过x射线衍射仪(XRD)、X射线荧光光谱分析(xRF)、紫外可见漫反射(UV-vis-DRs)和x射线光电子能谱(XPS)对经过超稳和水热处理前后的TiY分子筛进行了表征.结果表明:少量杂原子Ti进入到分子筛的骨架后,不影响Y分子筛的晶型,水热前后TiY分子筛中的Ti含量基本相同,且水热处理后TiY分子筛中的大部分Ti仍处于分子筛骨架上.说明杂原子Ti在TiY分子筛中具有良好的骨架稳定性.     

GI^（1）＋GI^（2）／G／1排队模型

对于GI^(1) GI^(2)/G/I排队模型,本借助献[1]中引入的Markov骨架过程方法求出了此模型到达过程,等待时间及队长的概率分布。     

Semi‐infinite line sources and locally axisymmetric surfaces

It is advocated that introductory calculus texts should present topics in a manner that is understandable to students without necessarily sacrificing rigour. Illustrative examples are given of a conversational approach to problem solving.     

Single-Fluorophore Dynamic Imaging in Living Cells

Recently, observation and tracking of single fluorophores, which we term single fluorophore dynamic imaging (SFDI) in this review, in living cells have been achieved. In particular, the recent success of SFDI of individual proteins tagged with green fluorescent protein (GFP) in live cells has opened new important possibilities for studying events occurring in living cells at the level of single molecules. Specifically, SFDI of GFP allows the tracking of movement and oligomerization levels of individual oligomers (monomers) in living cells and, thus, provides powerful means to investigate the movement, assembly, localization, and activation that signaling molecules undergo following an external stimulus. In this short account, we first review technologically important points for SFDI of GFP molecules in living cells, then give examples of its application, and, finally, propose a synergistic use of SFDI and single-particle tracking, a technique used for investigating single or small groups of molecules in live cells over the past 15 years.     

从碳中心到硅中心:手性螺环双膦配体研究的发展

手性螺环配体和催化剂已被公认是一类优势手性配体和催化剂。手性螺环配体的相关研究，促进了不对称催化领域的发展。根据螺环骨架类型进行分类，分别讨论具有螺[4.4]壬烷骨架、螺二氢茚骨架、螺[4.4]壬二烯骨架以及螺二色烷骨架的手性螺环双膦配体的合成及在不对称催化反应中的应用，为今后发展新的不对称催化体系提供了重要参考。     

Synthesis and Crystal Structure of Spiro[1-bromo-4-l-menthyloxy-5-oxo-6-oxa-bicyclo[3.1.0]hexane-2,2'-3'-(16'-methoxyacetatyl-4'-l-menthyloxybutyrolactone)]

The title compound,spiro[1-bromo-4-l-menthyloxy-5-oxo-6-oxa-bicyclo[3.1.0]-hexane-2,2'-3'-(16'-methoxyacetatyl-4'-l-menthyloxybutyrolactone)] 1,was obtained via tandem asymmetric double Michael addition/internal nucleophilic substitution of the chiral synthon,5-l-menthyloxy-3-bromo-2-(5H)-furanone 2 with methoxy α-chloroacetate as a nucleophile under mild conditions,and structurally determined by single-crystal X-ray diffraction.Crystal data:C31H47BrO9,Mr = 643.60,orthorhombic,space group P212121,a = 9.6564(7),b = 14.8994(11),c =23.6771(17) (A),V= 3406.5(4) (A)3,Z= 4,Dc= 1.255 g/cm3,λ(MoKα) = 0.71073(A),μ= 1.254 mm-1and F(000) = 1360.The structure was refined to R =0.0324 and wR = 0.0737 for 5123 observed reflections (I ＞ 2σ(I)).The crystallographic results of molecule 1 show that the interesting reaction of 2 with methoxy α-chloroacetate,in the usual manner,gave the spiro-cyclopropane skeleton with O-linked derivative containing multiple stereogenic centers 1 rather than the expected C-linked derivative.     

Relative invariants of 3 × 3 matrix triples

We present primary and secondary generators for the algebra of polynomial invariants of the direct product of two copies of the special linear group Sl₃ acting naturally on triples of 3 × 3 matrices over a field of characteristic zero. We handle also the analogous problem for triples and quadruples of 2 × 2 matrices.     

Some presentations for the special linear groups on finite fields

We simplify the Steinberg presentation of SL _n (F _d ), where n≥1 and F _d is any finite field with d elements. That presentation has the elementary matrices e _ij (r), with i,j∈{1,...,n}, i≠=j and r∈F _d , as generators, and (E1)–(E3), described at the opening of this work, as relations. The presentation that we shall obtain reduces the number of generators e _ij (r) and relations (E1)–(E3). In particular, relations (E3) are considerably reduced. Received: March 16, 1998; in final form: November 3, 2000?Published online: October 2, 2001     

Synthesis of fluorene‐based high performance polymers. I. Poly(arylene thioether)s with excellent solubility and high refractive index

Several poly(arylene thioether)s ( PTEs ) containing a fluorene moiety were synthesized by the polycondensation of masked dithiols such as 9,9‐bis(4‐(N,N‐dimethyl‐S‐carbamoyl)phenyl)fluorene and various difluoroarenes. All PTEs were obtained in quantitative yields. The PTEs showed good thermal stability: the 10% weight loss temperature was over 480 °C under both nitrogen and air atmosphere by TGA, and glass temperature was within a range of 204–275 °C by DSC. Most PTEs exhibited remarkably high refractive index values in a range of 1.66–1.72 at 589 nm, whereas they had a very low degree of birefringence properties. Furthermore, the PTEs showed high solubility in ordinary organic solvents such as chloroform, N‐methylpyrrolidone, and tetrahydrofuran. © 2007 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem 45: 3073–3082, 2007