Biderivations of triangular algebras

Let be a triangular algebra. A bilinear map is called a biderivation if it is a derivation with respect to both arguments. In this paper we define the concept of an extremal biderivation, and prove that under certain conditions a biderivation of a triangular algebra is a sum of an extremal and an inner biderivation. The main result is then applied to (block) upper triangular matrix algebras and nest algebras. We also consider the question when a derivation of a triangular algebra is an inner derivation.     

花生中丁酰肼残留量的气相色谱法测定

提出了一种新的简单易行且相当便捷的方法,对样品的提取和衍生化反应的各种影响因素,色谱分离和测定的最佳条件进行了测定。方法的准确度和精密度指标均符合残留量分析方法的要求,对同一试样进行多次平行独立测定时其标准偏差不大于０．４％,变异系数不大于５．２５％,最低检测限为０．０２ｍｇ／ｋｇ,该方法适用于油籽、花生、苹果等级其制品中丁酰肼残留量的测定,可作为相关实验室的例行分析方法。     

Extending the working calibration ranges of four hexachlorocyclohexane isomers in gas chromatography-electron capture detector by radial basis function neural network

A radial basis function neural network (RBFNN) method was developed for the first time to model the nonlinear calibration curves of four hexachlorocyclohexane (HCH) isomers, aiming to extend their working calibration ranges in gas chromatography-electron capture detector (GC-ECD). Other 14 methods, including seven parametric curve fitting methods, two nonparametric curve fitting methods, and five other artificial neural network (ANN) methods, were also developed and compared. Only the RBFNN method, with logarithm-transform and normalization operation on the calibration data, was able to model the nonlinear calibration curves of the four HCH isomers adequately. The RBFNN method accurately predicted the concentrations of HCH isomers within and out of the linear ranges in certified test samples. Furthermore, no significant difference (p > 0.05) was found between the results of HCH isomers concentrations in water samples calculated with RBFNN method and ordinary least squares (OLS) method (R² > 0.9990). Conclusively, the working calibration ranges of the four HCH isomers were extended from 0.08-60 ng/ml to 0.08-1000 ng/ml without sacrificing accuracy and precision by means of RBFNN. The outstanding nonlinear modeling capability of RBFNN, along with its universal applicability to various problems as a “soft” modeling method, should make the method an appealing alternative to traditional modeling methods in the calibration analyses of various systems besides the GC-ECD.     

土壤和植物中乙二胺二琥珀酸的反相液相色谱法测定

乙二胺二琥珀酸(EDDS)可应用于重金属污染土壤的强化植物修复或是土壤淋洗修复。但是现有的检测方法或过于复杂,或检出限太高。本研究建立了应用超声波萃取、硫酸铜衍生化和液相色谱,紫外检测器测定土壤、植物中EDDS含量的方法。其回收率为93%~118%,灵敏度较高;检出限达1.5μmol/L;重现性好,不受其它多种共存离子的干扰。     

理想气体在不同可逆过程中的热力学函数的数学解析

利用热力学函数关系,推导出理想气体在不同可逆过程中的热力学函数的一般表达式;进而利用洛必达法则,推导出等温可逆过程中的热力学函数表达式。     

N,N''''-二苄基-苯并咪唑四氯合铜(Ⅱ)化合物的合成、结构和性能研究

0IntroductionAlthoughbiologicalsystemsefficientlyorganizesimpleunitsintoaggregateswithintricateandwonderfulfunctionsbynon-covalentinteractions,self-assem-blyofframeworkswithspecifictopology,interestingpropertiesandfunctionsisstillachallengefochemists[1].Anumberofhydrogen-bondedaggregatehavebeenobtainedbyself-organizationoforganicoorganic-inorganiccomponents[2,3].Hydrogenbondingbetweentheorganiccationandthemetallayerisanimportantissueinunderstandingtheorganic-inorganichybridmaterials,whichinflu…     

大气颗粒物滤膜中极性有机物在线衍生装置的设计与应用

设计制作了一套用于气相色谱-质谱(GC-MS)分析极性有机物的在线衍生装置,并将其应用于大气颗粒物样品中极性有机物的检测.将大气颗粒物滤膜样品置于GC-MS进样口,通过使用套针组件,匀速引入气态衍生试剂N-甲基-Ⅳ-(三甲基硅烷)三氟乙酰胺(MSTFA),使其在衬管内于310℃下与待测物接触,10 min即可完成硅烷化...     

Nature-inspired Three-dimensional Au/Spinach as a Binder-free and Self-standing Cathode for High-performance Li-O2 Batteries

Design and fabrication of functional porous air cathode materials with superior catalytic activity is still the key point for non-aqueous lithium-oxygen(Li-O₂) batteries. Herein, inspired by the self-standing three-dimensional(3D) structure of the natural spinach leaves, a unique binder-free and self-standing porous Au/spinach cathode for high-performance Li-O₂ batteries has been developed. The carbonized spinach leaves serve as a superconductive current collector and an ideal porous host for accommodating catalysts. The Au/spinach cathode could offer enough spaces for accommodating the discharge products, shorten the distance of the oxygen and electrolyte diffusion, and promote the oxygen reduction reaction(ORR) and oxygen evolution reaction (OER) processes. This optimized Au/spinach cathode achieved a high specific area capacity of 7.23 mA‧h/cm² at a current density of 0.05 mA/cm² and exhibited excellent stability(280 cycles at 0.05 mA/cm² with a fixed capacity of 0.2 mA‧h/cm²). The superior performance encourages the construction of more advanced cathode architectures by the use of bio-composites for Li-O₂ batteries.     

${\cal U}_q(g)$在其正部分${\cal U}_q^ (g)$上的作用

In this paper, two kinds of skew derivations of a type of Nichols algebras are intro- duced, and then the relationship between them is investigated. In particular they satisfy the quantum Serre relations. Therefore, the algebra generated by these derivations and corresponding automorphisms is a homomorphic image of the Drinfeld-Jimbo quantum enveloping algebra Uq^＋（g）, which proves the Nichols algebra becomes a/gq（g）-module algebra. But the Nichols algebra considered here is exactly Uq^＋（g）, namely, the positive part of the Drinfeld-Jimbo quantum enveloping algebra Uq^＋（g）, it turns out that Uq^＋（g） is aUq^＋（g）-module algebra.