Remarks on sufficient conditions for fixed points of multivalued nonexpansive mappings

In recent papers [S. Dhompongsa, T. Domínguez-Benavides, A. Kaewcharoen, A. Kaewkhao, B. Panyanak, The Jordan–von Neumann constants and fixed points for multivalued nonexpansive mappings, J. Math. Anal. Appl. 320 (2006) 916–927; S. Dhompongsa, A. Kaewcharoen, A. Kaewkhao, The Domínguez–Lorenzo condition and multivalued nonexpansive mappings, Nonlinear Anal. 64 (2006) 958–970], two sufficient conditions, namely the Domínguez–Lorenzo condition and property (D$D$), for fixed points of multivalued nonexpansive mappings are introduced. The authors also give some sufficient conditions for the Domínguez–Lorenzo condition and property (D$D$). In their proofs, it seems reasonable to use the James and von Neumann–Jordan constants. With slight modifications, significant improvements are obtained. Some new estimates are tight in Hilbert spaces.     

Synthesis of novel Y-type polyurethane containing azomethine moiety, as non-linear optical chromophore and their properties

3,4-Di-(2′-hydroxyethoxy)-4′-nitrobenzylidene II was prepared by condensation reaction of 3,4-dihydroxy-4′-nitrobenzylidene I with 1-chloro-2-ethanol. Monomer II was reacted with p-phenylene diisocyanate to yield polyurethane containing the non-linear optical chromophore 3,4-di-(2′-hydroxyethoxy)-4′-nitrobenzylidene. Polymer III shows thermal stability up to 300 °C in TGA thermogram. T_g value of the polymer obtained from DSC thermogram was 110 °C. The resulting polyurethane III was soluble in common organic solvents such as acetone, DMF and DMSO. The values of electro optic coefficient d₃₃ and d₃₁ of the poled polymer film were 3.15 × 10 ⁻⁷ and 1.5 × 10 ⁻⁷ esu, respectively.     

Syntheses and lipophilicity measurement of N/N-terminus-1,1-dihydroperfluoroalkylated α-amino acids and small peptides

(1,1-Dihydroperfluoroalkyl)phenyliodonium N,N-bis(trifluoromethylsulfonyl)imides (4, n = 0-2) were synthesized and used to transfer the corresponding 1,1-dihydroperfluoroalkyl groups to the α-amino group of (l)tyrosine. The obtained N^α-2,2,2-trifluoroethylated (l)tyrosine (6, n = 0) was further used as the N-terminus in the solid phase peptide synthesis of leucine enkephalin analogue. The lipophilicity of the N^α-1,1-dihydroperfluoroalkylated (l)tyrosines (6, n = 0-2) and N-terminus-2,2,2-trifluoroethylated leucine enkephalin analogue (7), as well as the corresponding parent compounds, was measured.     

Volumetric coefficients,internal pressure,and cohesion energy density of <Emphasis Type="Italic">n</Emphasis>-alcohols

Changes in the thermal expansion coefficient and isothermal compressibility in homological series of n-alcohols at 298 K are discussed. It is shown that only methanol exhibits abnormal behavior. Volumetric coefficients of hypothetical solvents such as pseudo-water and pseudo-methanol are determined. Internal pressure values of liquids are calculated. The internal pressure of pseudo-water exceeds that of water, whereas the situation is opposite for the cohesion energy density.     

Temperature dependencies of amide 1H- and 15N-chemical shifts in hyaluronan oligosaccharides

Temperature coefficients (Deltadelta/DeltaT) of amide chemical shifts of N-acetylglucosamine residues have been measured in a range of oligosaccharides of the important vertebrate polysaccharide hyaluronan. Odd- and even-numbered oligosaccharides with glucuronic acid, Delta-4,5-unsaturated glucuronic acid and N-acetylglucosamine at the termini were investigated. All amide proton temperature coefficients were only slightly less negative (-6.9 to - 9.1 ppb/ degrees C) than those of amide protons in free exchange with water (approximately equal to -11 ppb/ degrees C), indicating an absence of persistent intramolecular hydrogen bonds. With the exception of amide groups in reducing-terminal N-acetylglucosamine rings, all amide proton environments have the same temperature coefficient (-6.9 ppb/ degrees C), irrespective of differences in amide group chemical shifts and (3)J(HH) coupling constants, i.e. they do not sense subtle differences in orientation of the amide group. Amide nitrogen temperature coefficients report the same phenomena but with greater sensitivity. These data provide a set of reference values for temperature coefficients measured in other carbohydrates with acetamido sugars.     

Calculating physical properties of organic compounds for environmental modeling from molecular structure

Mathematical models for predicting the transport and fate of pollutants in the environment require reactivity parameter values – that is the value of the physical and chemical constants that govern reactivity. Although empirical structure–activity relationships have been developed that allow estimation of some constants, such relationships are generally valid only within limited families of chemicals. The computer program, SPARC, uses computational algorithms based on fundamental chemical structure theory to estimate a large number of chemical reactivity parameters and physical properties for a wide range of organic molecules strictly from molecular structure. Resonance models were developed and calibrated using measured light absorption spectra, whereas electrostatic interaction models were developed using measured ionization pK_as in water. Solvation models (i.e., dispersion, induction, H-bonding, etc.) have been developed using various measured physical properties data. At the present time, SPARC’s physical property models can predict vapor pressure and heat of vaporization (as a function of temperature), boiling point (as a function of pressure), diffusion coefficient (as a function of pressure and temperature), activity coefficient, solubility, partition coefficient and chromatographic retention time as a function of solvent and temperature. This prediction capability crosses chemical family boundaries to cover a broad range of organic compounds.     

最小风险组合证券非负投资比例系数的确定

研究非负投资比例系数约束条件下,实现风险最小化的组合证券投资问题.应用罚函数法,对最小风险组合证券的非负投资比例系数进行研究.实例表明:这一方法是可行的、有效的.     

扩散系数加权的NMR及其在化学反应产物鉴定中的应用

结合组氨酸与一种多糖之间的酯化反应产物的鉴定,介绍了扩散系数加权的核磁共振波谱法(DW-NMR)的原理及应用。     

回旋行波管动力学分析及数值计算

 以小回旋电子注、均匀截面光滑壁圆柱波导为例,对回旋行波管动力学色散方程作了解析分析和讨论;数值计算和分析了注波互作用耦合系数与电子注参数的相互关系,为优化选择电子注参数,提高注波互作用效率获得了依据。     

二氧化碳从它溶胀后的聚合物中的解吸

研究了经过４０℃,８．０￣１４．０ＭＰａ的超临界二氧化碳溶胀后的６种聚合物ＬＤＰＥ、ＰＰ、ＰＡ６、ＥＶＡ、ＰＵ中的ＣＯ２解吸情况,模拟了聚合物中ＣＯ２的解吸规律,即以时间的自然指数递减规律,并根据Ｆｉｃｋ扩散定理从理论上推导出ＣＯ２在聚合物中的解吸方程,由解吸方程计算解吸扩散系数,结果表明ＣＯ２的解吸扩散系数数量级达１０＾－７ｃｍ＾２／ｓ,解吸扩散系数与ＣＯ２在聚合物中的浓度和温度以及解吸前聚合物