Symmetric (co)homologies of Lie algebras

Cohomologies of Lie algebras are usually calculated using the Chevalley-Eilenberg cochain complex of skew-symmetric forms. We consider two cochain complexes consisting of forms with some symmetric properties. First, cochains C^*(L) are symmetric in the last 2 arguments, skew-symmetric in the others and satify moreover some kind of Jacobi condition in the last 3 arguments. In characteristic 0, its cohomologies are isomorphic to the cohomologies of the factor-complex C^*(L,L’)/C^*+1(L,K). Second, a symmetric version C_λ^*(A) is defined for an associative algebra A. It is a subcomplex of the cyclic cochain complex. These symmetric cochain complexes are used for the calculation of 3-cohomologies of Cartan Type Lie algebras with trivial coefficients.     

DISQUAC predictions of excess enthalpies of the ternary mixture: tetrahydrofuran + cyclohexane + butanenitrile

Excess molar enthalpies of the ternary mixture: tetrahydrofuran + cyclohexane + butanenitrile and of the binary mixtures involved have been measured at 298.15 K by means of a flow microcalorimeter.The DISQUAC analysis is developed using interchange coefficients previously determined for the binary mixtures. Even neglecting ternary interactions, it is possible to obtain a satisfactory representation of the ternary system.     

负相协随机变量和的中偏差

设X1,X2,…是一列负相协的随机变量,Xn的分布为Fn,其属于D族.假设μn=E(Xn)x)的一致渐近式,其中γ>0,a(n)是一个满足limn→!a(n)/n=0的正函数.     

半柔性大分子链穿越微孔行为的研究

采用动态蒙特卡罗模拟方法,模拟半柔性大分子链在电场作用下穿越纳米孔道进入球腔的输运过程. 主要研究电场强度及半柔性大分子链的刚性强度对穿孔过程的影响.发现：平均穿孔时间τ随电场强度的增大而减小,τ与链的长度N满足标度关系τ~N^α,并且电场强度E和弯曲能b对标度指数有显著影响. 研究结果表明,当电场强度为中等时,刚性弱和刚性强的大分子的穿孔过程是完全不同的. 研究半柔性大分子链穿越微孔的行为,有助于更深入认识生物大分子在生命体内的输运过程.     

与强奇异 Calder\'{o}n-Zygmund算子相关的Toeplitz算子的双权估计

研究了与强奇异Calder\'{o}n-Zygmund算子和加权 Lipschitz函数${\rm Lip}_{\beta_0,\omega}$相关的Toeplitz算子$T_b$的sharp极大函数的点态估计,并证明了Toeplitz算子是从 $L^p(\omega)$到$L^q(\omega^{1-q})$上的有界算子.此外, 建立了与强奇异Calder\'{o}n-Zygmund算子和加权 BMO函数${\rm BMO}_{\omega}$相关的Toeplitz算子$T_b$的sharp极大函数的点态估计,并证明了Toeplitz算子是从 $L^p(\mu)$到$L^q(\nu)$上的有界算子.上述结果包含了相应交换子的有界性.     

胃瘤线虫与宿主黄鳝组织的酯酶同工酶分析

采用不连续凝胶垂直板电泳分析胃瘤线虫、线虫包囊以及黄鳝的各组织,比较样品酯酶电泳结果的异同,分析其相互之间的关系.酯酶在黄鳝的各个组织、胃瘤线虫与线虫包囊中均有表达,并且呈现出一定的特异性.电泳结果表明黄鳝心脏和肌肉的酯酶只有一条弱酶带,其它组织都有三条染色明显的条带,说明黄鳝心脏和肌肉的酯酶发挥的水解功能要低于其它组织;胃瘤线虫包囊具有与黄鳝的肠道相似的酶带,但其活性较弱,因此,推测其已经丧失了肠道组织的水解吸收营养物质的大部分功能;胃瘤线虫有4条酶带,其中2ab和2b是胃瘤线虫特有的酶带,而1a和2a是胃瘤线虫与其包囊、黄鳝的肠道、性腺、肾脏、肝脏共有的酶带,由此推测线虫与黄鳝之间也可能存在着协同进化的关系.     

Secure Direct Communication Based on Non-Orthogonal Entangled Pairs and Local Measurement

We propose a quantum secure direct communication scheme based on non-orthogonal entangled pairs and local measurement. In this scheme, we use eight non-orthogonal entangled pairs to act as quantum channels. Due to the non-orthogonality of the quantum channels, the present protocol can availably prohibit from all kinds of valid eavesdropping and acquire a secure quantum channel. By local measurement, the sender acquires a secret random sequence. The process of encoding on the random sequence is identical to the one in one-time-pad. So the present protocol is secure. Even for a highly lossy channel, our scheme is also valid. The scheme is feasible with present-day techniques.     

Sensitive electrochemical determination of α-fetoprotein using a glassy carbon electrode modified with in-situ grown gold nanoparticles,graphene oxide and MWCNTs acting as signal amplifiers

The authors describe an electrochemical immunoassay for α-fetoprotein (α-FP) using a glassy carbon electrode (GCE) modified with a nanocomposite made from gold nanoparticles, graphene oxide and multi-walled carbon nanotubes (AuNPs/GO-MWCNTs) and acting as a signal amplification matrix. The nanocomposite was synthesized in a one-pot redox reaction between GO and HAuCl₄ without using an additional reductant. The stepwise assembly of the immunoelectrode was characterized by means of cyclic voltammetry and electrochemical impedance spectroscopy. The interaction of antigen and antibody on the surface of the electrode creates a barrier for electrons and causes retarded electron transfer, this resulting in decreased signals in differential pulse voltammetry of hexacyanoferrate which is added as an electrochemical probe. Using this strategy and by working at a potential of 0.2 V (vs. SCE), a wide analytical range (0.01 - 100 ng∙mL‾¹) is covered. The correlation coefficient is 0.9929, and the limit of detection is as low as 3 pg∙mL‾¹ at a signal-to-noise ratio of 3. This electrochemical immunoassay combines the specificity of an immunological detection scheme with the sensitivity of an electrode modified with AuNPs and GO-MWCNTs.

Schematic illustration of the fabrication procedure of the immunosensor

     

Infrared and Raman spectra,conformational stability,barriers to internal rotation,ab initio calculations and vibrational assignment of ethyl methyl selenide

The Raman spectra (3200–10 cm⁻¹) of ethyl methyl selenide in the gas, liquid and solid phases and the infrared spectra (3200–30 cm⁻¹) of the gas and solid have been recorded. Qualitative depolarization ratios have been obtained for the lines in the Raman spectrum of the liquid. By a variable temperature Raman study of the liquid, it has been determined that the gauche conformer is more stable than the trans rotamer by 158±16 cm⁻¹ (452±46 cal mol⁻¹), and the gauche conformer is the rotamer present in the solid. A complete vibrational assignment for the gauche conformer is presented. All of these data are compared to the corresponding quantities obtained from ab initio Hartree—Fock gradient calculations employing the STO-3G* and 4–31G*/MIDI-4* basis sets. Complete equilibrium geometries have been calculated for both rotamers and the results are discussed and compared with the corresponding quantities for some similar molecules.     

Micelle dissociation kinetics study by dynamic surface tension of micellar solutions

The dynamic surface of sodium tetradecylsulphate and sodium bexadecylsulphate solutions in water and also in Triton X-100 solutions was measured by the maximum bubble-pressure method, using modern computerized instrumentation, for a wide range of surface lifetimes (from 0.001 to 10 s), temperatures (from 30 to 80°C) and surfactant concentrations (from 1 to 200 CMC). On the basis of a previously suggested adsorption kinetics theory for micellar solutions of ionogenic surfactants (V.B. Fainerman, Colloids Surfaces, 62 (1992) 333) a method was developed for the calculation of the micellar dissociation rate constant k. For the surfactants studied, k increases with increasing concentration. Moreover, for ionic surfactants the dependence of k on concentration (C) becomes more striking for C> (10–30) CMC. This can be explained by a micelle shape transition and by a strengthening of the intermolecular repulsion in micelles. In solutions of the ionic surfactants the constant k increasing with increasing temperature, whereas in Triton X-100 solutions a temperature dependence is absent. This phenomenon is associated with the different nature of the molecular interactions for ionogenic and non-ionogenic surfactants in micelles. The k values, obtained from results of dynamic surface tension measurements, are in satisfactory agreement with the results of a study of the relaxation of micellar solutions published previously.