求鳞状因子循环矩阵的逆阵及广义逆阵的快速付氏变换法

借助快速付立叶变换(FFT),本文给出一种求n阶鳞状因子循环矩阵的逆阵、自反g-逆、群逆、Moore-Penrose逆的快速算法,该算法的计算复杂性为O(nlog2n),最后给出的两个数值算例表明了该算法的有效性.     

Modulation of Multifunctional N,O,P Ligands for Enantioselective Copper‐Catalyzed Conjugate Addition of Diethylzinc and Trapping of the Zinc Enolate

In this work, we have successfully synthesized a new family of chiral Schiff base–phosphine ligands derived from chiral binaphthol (BINOL) and chiral primary amine. The controllable synthesis of a novel hexadentate and tetradentate N,O,P ligand that contains both axial and sp³‐central chirality from axial BINOL and sp³‐central primary amine led to the establishment of an efficient multifunctional N,O,P ligand for copper‐catalyzed conjugate addition of an organozinc reagent. In the asymmetric conjugate reaction of organozinc reagents to enones, the polymer‐like bimetallic multinuclear Cu? Zn complex constructed in situ was found to be substrate‐selective and a highly excellent catalyst for diethylzinc reagents in terms of enantioselectivity (up to >99 % ee). More importantly, the chirality matching between different chiral sources, C₂‐axial binaphthol and sp³‐central chiral phosphine, was crucial to the enantioselective induction in this reaction. The experimental results indicated that our chiral ligand (R,S,S)‐ L1 ‐ and (R,S)‐ L4 ‐based bimetallic complex catalyst system exhibited the highest catalytic performance to date in terms of enantioselectivity and conversion even in the presence of 0.005 mol % of catalyst (S/C=20 000, turnover number (TON)=17 600). We also studied the tandem silylation or acylation of enantiomerically enriched zinc enolates that formed in situ from copper‐ L4 ‐complex‐catalyzed conjugate addition, which resulted in the high‐yield synthesis of chiral silyl enol ethers and enoacetates, respectively. Furthermore, the specialized structure of the present multifunctional N,O,P ligand L1 or L4 , and the corresponding mechanistic study of the copper catalyst system were investigated by ³¹P NMR spectroscopy, circular dichroism (CD), and UV/Vis absorption.     

Selective Oxidation of Methane into Methanol Under Mild Conditions

Selective oxidation of methane to methanol under mild conditions has been considered as a dream reaction but suffers from poor efficiency due to the strong C-H bond of methane and easy overoxidation of the methanol product. For overcoming these problems, a series of strategies has been developed for improving methanol productivity with oxidants of hydrogen peroxide and even a mixture of oxygen and hydrogen at mild temperatures. Significant achievements in these strategies using effective catalysts, such as supported metal nanoparticles, colloidal metal nanoparticles, and metal@zeolites are briefly concluded. Moreover, the current challenges, future perspectives for preparing active, selective, and stable catalysts, have been discussed. The zeolite fixed metal nanoparticle structure has been found to boost the reaction by benefiting the formation and enrichment of peroxide intermediates, which might guide the development of more efficient catalysts.     

The compression and stretching of similaritons with nonlinear tunneling in optical fibers

The similarity transformation between the inhomogeneous (n+1)-dimensional generalized nonlinear Schrödinger equation (NLSE) and the constant-coefficient NLSE in optical fibers is constructed with some constraints for the parameters of the medium. The exact balance between the dispersion/diffraction, nonlinearity and the gain/loss produces self-similar waves (similaritons). As an example, we investigate the nonlinear tunneling effect of flat-top similariton. The results show that the effects of dispersion barrier and well for the similariton are similar to that of nonlinear well and barrier, respectively.     

双驱动电动换能器电磁场和声-结构耦合场分析

电动换能器的设计涉及电磁场和声-结构耦合问题,本文利用COMSOL多物理场分析软件提供的该两种分析模块进行组合,以电磁理论为基础推导出了适合COMSOL数值计算的公式,把两种耦合场的分析结合起来,利用电磁场分析过程计算所需要变量,代入声-结构耦合场进行分析,得到声场分布情况。文章也大致介绍了COMSOL的有限元建模和该两种模块的使用方法。本文对电动换能器结构如何优化不做讨论。     

一种主动浮标阵的定位解算方法仿真分析

在研究单枚主动定向浮标定位原理的基础上,推导出一种利用最小二乘法解算多枚浮标的定位结果的方法,并针对圆阵就阵元个数、圆阵半径以及测距误差对该解算方法的性能影响进行了数值仿真分析。仿真结果表明,该算法在测向均方误差较大或者目标在距离圆内的情况下,性能远优于单枚主动定向浮标;圆阵半径2 km左右,阵元个数在6左右时,该解算方法的性能达到最佳。此外,该解算算法很容易被扩展至三维定位问题,因此有一定的理论和应用价值。     

高效液相色谱串联质谱测定蜂蜜、蜂王浆中氯霉素残留

前处理方法包括添加同位素内标氯霉素-d5和采用10％偏磷酸沉淀蜂王浆产品中的蛋白质,上清液经乙酸乙酯提取,自制硅胶柱和Oasis小柱净化。净化后的提取溶液用高效液相色谱-电喷雾电离质谱检测,多反应监测3对离子（321．0／256．9、321．0／194．0、321．0／175．8）。该方法对不同基质样品的加标回收率为91％-107％;相对标准偏差小于10％;蜂蜜和蜂王浆的方法检出限分别为0．1μg／kg和0．2μg／kg。     

The Cauchy Integral Operator on Weighted Hardy Space

The authors show that the Cauchy integral operator is bounded from Hωp(R1) to hωp(R1) (the weighted local Hardy space). To prove the results, a kind of generalized atoms is introduced and a variant of weighted "Tb theorem" is considered.     

快速去除硝酸和亚硝酸对氢化物发生原子荧光法测定砷的干扰

为了避免繁琐、耗时的"赶酸"操作, 研究了尿素结合NaOH除去微波消解液中过量的HNO3和HNO2的干扰,继用L-半胱氨酸在低酸度下将As(Ⅴ)还原为As(Ⅲ)的样品消化和预还原方法.用氢化物发生-原子荧光法准确、快速地测定了食品中痕量砷.该方法的检出限为0.03 μg/L;连续11次测定4 μg/L As(Ⅲ)标准溶液的相对标准偏差为1.6%; 测定国家标准物质的结果与标准值非常吻合.     

SOME LIMINF RESULTS ON INCREMENTS OF THE PRIMITIVES OF BROWNIAN MOTION

§ 1　Introduction and ResultsLet{W(t) ;t≥ 0 }be a standard Brownian motion.For a positive integer m,define aGaussian processXm(t) =1m!∫t0 (t-s) md W(s) ,(1 .1 )which was firstmentioned by[1 ] .This class of processes arises in several domains of ap-plied mathematics.For instance,the process X1 (· ) ,which has been studied at length,isthe solution of the Langevin's equation under certain physical conditions.Wahba[2 ,3] usedXm(· ) to derive a correspondence between smoothing by splines …