Convenient One‐Pot Synthesis of α‐Amino Phosphonates in Water Using p‐Toluenesulfonic Acid as Catalyst for the Kabachnik–Fields Reaction

The three‐component Kabachnik–Fields reaction of substituted salicylaldehydes, aromatic amine, and triphenyl phosphite in water was effectively catalyzed by p‐toluenesulfonic acid to give various α‐amino phosphonates in good yields. The catalyst is easily available and inexpensive, and the process is green and mild. © 2013 Wiley Periodicals, Inc. Heteroatom Chem 24:110–115, 2013; View this article online at wileyonlinelibrary.com . DOI 10.1002/hc.21071     

激光诱导叶绿素荧光寿命的测量及其特性分析

提出了一种用于评估植物生长状况及环境监测的激光诱导叶绿素荧光寿命测量方法. 采用波长355 nm的激光作为光源激发叶绿素荧光, 由光电倍增管接收其荧光信号, 由于被测叶绿素荧光衰减函数与激光脉冲、仪器响应函数卷积在一起, 根据它们的特性, 运用时间分辨测量法分别测得叶绿素荧光及其背景信号, 并结合一种新型解卷积算法可分离出真实的叶绿素荧光衰减函数, 从而获取叶绿素的荧光寿命. 测试结果表明: 该方法能够实现叶绿素荧光寿命的高精度实时监测, 对不同叶绿素含量的溶液荧光寿命进行了测试, 证明叶绿素含量与其荧光寿命具有相关性, 并且拟合了叶绿素含量与荧光寿命的标定曲线. 关键词： 荧光寿命 激光诱导荧光 时间分辨测量法 叶绿素含量     

An Improved Spectral Conjugate Gradient Algorithm for Nonconvex Unconstrained Optimization Problems

In this paper, an improved spectral conjugate gradient algorithm is developed for solving nonconvex unconstrained optimization problems. Different from the existent methods, the spectral and conjugate parameters are chosen such that the obtained search direction is always sufficiently descent as well as being close to the quasi-Newton direction. With these suitable choices, the additional assumption in the method proposed by Andrei on the boundedness of the spectral parameter is removed. Under some mild conditions, global convergence is established. Numerical experiments are employed to demonstrate the efficiency of the algorithm for solving large-scale benchmark test problems, particularly in comparison with the existent state-of-the-art algorithms available in the literature.     

How to obtain higher-order multivariate Hermite expansion of Maxwell–Boltzmann distribution by using Taylor expansion?

We obtain the higher-order multivariate Hermite expansion of the Maxwell–Boltzmann distribution by using a new, compact tensorial notation and present a method to obtain the nth order multivariate Taylor expansion, which is identical to the nth order multivariate Hermite expansion of the Maxwell–Boltzmann distribution. This study enables us to find higher-order models of discrete kinetic theories such as the lattice Boltzmann theory.     

一种自适应联合卡尔曼滤波器及其在车载GPS/DR组合导航系统中的应用研究

—本文设计了实现车载ＧＰＳ／ＤＲ组合导航系统最优综合的联合卡尔曼滤波器，并给出了滤波算法。提出了一种自适应联合卡尔曼滤波器结构及其算法，并应用于ＧＰＳ／ＤＲ组合导航系统的最优综合校正中。理论分析及计算机仿真结果均表明，应用该自适应联合卡尔曼滤波器可大大提高车载ＧＰＳ／ＤＲ组合导航系统的定位精度及容错能力。     

Strong Convergence of a Projection-Type Method for Mixed Variational Inequalities in Hilbert Spaces

Abstract

In this article, a projection-type method for mixed variational inequalities is proposed in Hilbert spaces. The proposed method has the following nice features: (i) The algorithm is well defined whether the solution set of the problem is nonempty or not, under some mild assumptions; (ii) If the solution set is nonempty, then the sequence generated by the method is strongly convergent to the solution, which is closest to the initial point; (iii) The existence of the solutions to variational inequalities can be verified through the behavior of the generated sequence. The results presented in this article generalize and improve some known results.     

Reflected backward doubly stochastic differential equations with discontinuous coefficients

In this paper, we study one-dimensional reflected backward doubly stochastic differential equations (RBDSDEs) with one continuous barrier and discontinuous (left or right continuous) generator. We obtain an existence theorem and a comparison theorem for solutions of the class of RBDSDEs.     

Nascent tar formation during polyvinylchloride (PVC) pyrolysis

Pyrolysis experiments of polyvinylchloride (PVC) were performed to investigate the effects of peak temperature, holding time, and heating rate on the formation of nascent tar. The nascent tar samples were collected using a wire-mesh reactor where the secondary reactions of the evolved volatiles were minimized. The small compounds, such as benzenes and alkanes, were not detected in nascent tar in wire-mesh reactor, whose components are quite different from those of other tars in tube type reactor and vacuum reactor. At a heating rate of 1000 K/s, the quasi-3 rings and 3 rings group aromatics were the major components in nascent tar; while the content of 2 rings group aromatics increased from 7.02% to 31.75% with increasing peak temperature from 500 to 800 °C. At a longer holding time of 300 s, an increase of 2 rings group aromatics from 7.02% to 50.33% was also observed for the nascent tar at 500 °C, indicating that the tar composition significantly changed at different stages of PVC pyrolysis. It seems that 3–4 rings compounds form in the early stage and then 2 rings compounds release in the later stage of PVC pyrolysis. Based on the experimental results in this work, a new four-stage mechanism, including (1) dechlorination accompanied with inner cyclization, (2) aromatic chain scission, (3) release of quasi-3 rings or 3 rings group, and (4) release of 2 rings group, of the PVC tar formation was proposed.     

Theoretical analysis of the performance of a single side band multicarrier source based on a re-circulating frequency shifter influenced by an optical bandpass filter

An optical bandpass filter （OBF） is an important element whose properties considerably influence the output performance of a single side band multicarrier source based on a re-circulating frequency shifter. The influence of the OBF in the loop on the output spectrum is theoretically analyzed. Numerical simulations and experiments are Mso carried out. Results show that the steepness and deepness of a nonflat-top filter influence the stability of the spectrum of an output multicarrier. To obtain multicarrier output with tone to noise ratio （TNR） 〉26 dB and error vector magnitude （EVM） 〈0.25, the steepness ratio of the filter should be greater than 0.75 and deepness should be larger than 0.99.