废旧聚酯（PET）的化学循环利用

废旧PET 聚酯可通过化学解聚来实现其循环利用。本文总结了废旧PET 聚酯化学循环利用领域的研究现状, 介绍了目前国内外开发的主要化学解聚工艺方法, 包括水解法、甲醇解聚法、乙二醇解聚法等, 同时对各种工艺过程的优缺点进行了综合比较。     

Experimental nibble for computational chemists: On the construction and CO2 capture by different zeolite imidazole ester framework-8 and ionic

The combination of zeolitic imidazolate framework-8 (ZIF-8) and ionic liquids (ILs) to create porous ionic liquids (PILs) is highly significant for efficient carbon dioxide (CO₂) capture and the advancement of carbon capture, utilization, and storage (CCUS) technologies. To further investigate the CO₂ capture characteristics of different PILs, two different-sized ZIF-8 structures and two functionalized ILs were prepared. Additionally, the enhancement factor of the reaction process was calculated using the dual-film theory and mass transfer coefficient. The results demonstrated that the original [PMIm]Cl had low CO₂ absorption capacity at ambient temperature and pressure, whereas the functionalized ILs had a maximum CO₂ capture capacity of approximately .31 mol/mol, with the 20 wt% concentration of tetraethylene pentamine-2-methylimidazole ([TEP][MIm]) exhibiting the highest CO₂ capture capacity of around 1.93 mol/mol. The synthesized PILs demonstrated a maximum CO₂ capture capacity of approximately 2.22 and 2.16 mol/mol at 20 and 10 wt% ionic concentrations, respectively, with a porous ionic liquid addition of 1.0/100 g. The corresponding enhancement factors were 1.53 and 1.59, respectively. These findings have significant implications for CCUS technology.     

高选择性高效液相色谱-电化学检测法测定丹参中5种酚类物质

发展了一种高灵敏度的高效液相色谱-电化学检测（HPLC-ECD）方法,用于丹参中5种酚类物质的定量分析。为了获得较高的检测灵敏度,对流动相的pH、缓冲溶液类型和浓度、有机相种类和梯度以及流速做了系统研究。在较低的pH（2.8）、较低的缓冲盐浓度（20 mmol/L NaH₂PO₄）和较缓的乙腈梯度下,以0.2 mL/min流速可为5种酚类的分离检测提供较好的分离度和较高的检测灵敏度。在获得优化的分离参数后,将其用于14批丹参药材中5种酚类物质的定量分析。结果表明,该方法可获得较好的回收率（>95%）、较宽的线性范围（高达4个数量级）、较好的重复性（RSD<4.01%）和较高的灵敏度（咖啡酸的LOQ低至1.5μg/L）。与紫外检测方法相比,ECD检测方法具有更高的选择性,可减少非抗氧化活性的物质的干扰。     

微分几何在高校转型发展中的教学研究

在高校转型发展的背景下,本论文从课程教学现状出发,探讨了微分几何的教学方法,强调课程教学中讲述微分几何发展历史的重要性;又从培养学生的直觉力和鉴赏力方面出发,给出了有效的学习方法,强调主动学习方法和比较学习方法的意义.     

Augmented truncation approximations of discrete-time Markov chains

Let P be a positive recurrent infinite transition matrix with invariant distribution π and be a truncated and arbitrarily augmented stochastic matrix with invariant distribution _(n)π. We investigate the convergence ‖_(n)π−π‖→0, as n→∞, and derive a widely applicable sufficient criterion. Moreover, computable bounds on the error ‖_(n)π−π‖ are obtained for polynomially and geometrically ergodic chains. The bounds become rather explicit when the chains are stochastically monotone.     

基于微分变分不等式的多商品流网络动态模型

针对由多个制造商和多个零售商构成并且具有多商品流的供应链网络,建立了制造商、零售商之间从事微分Nash博弈的供应链网络动态模型.首先,在介绍微分变分不等式定义的基础上,利用微分变分不等式的方法建立了制造商、零售商以及供应链网络的均衡条件.然后,在正则条件下分析了供应链网络动态模型解的存在性条件.最后,利用数值算例验证了模型的合理性.     

An ODE-based trust region method for unconstrained optimization problems

In this paper, a new trust region algorithm is proposed for solving unconstrained optimization problems. This method can be regarded as a combination of trust region technique, fixed step-length and ODE-based methods. A feature of this proposed method is that at each iteration, only a system of linear equations is solved to obtain a trial step. Another is that when a trial step is not accepted, the method generates an iterative point whose step-length is defined by a formula. Under some standard assumptions, it is proven that the algorithm is globally convergent and locally superlinear convergent. Preliminary numerical results are reported.     

聚类分析在无回答现象中的应用

对于抽样调查中的无回答现象,本文应用聚类分析方法对辅助变量的数据进行分层,更好地利用了分层后的信息,改进了对无回答变量的估计。将聚类分析与抽样调查结合起来,是一个比较新的尝试,能够更好地解决实际问题中多变量数据的分层问题,进而对提高抽样调查的精度有重要意义。     

关于完全完备分配格上矩阵相对于特征值的特征向量

借助于伪补和矩阵的幂序列研究了完全完备分配格上矩阵相对于特征值的特征向量的计算方法,利用特征向量的性质证明了最大特征向量的计算公式,并给出了一般特征向量的计算方法.     

An investigation of preservice teachers’ use of guess and check in solving a semi open-ended mathematics problem

Open-ended problems have been regarded as powerful tools for teaching mathematics. This study examined the problem solving of eight mathematics/science middle-school teachers. A semi-structured interview was conducted with (PTs) after completing an open-ended triangle task with four unique solutions. Of particular emphasis was how the PTs used a specific heuristic strategy. The results showed that the primary strategy PTs employed in attempting to solve the triangle problem task was guess and check; however, from the PTs’ reflections, we found there existed misapplications of guess and check as a systematic problem-solving strategy. In order to prepare prospective teachers to effectively teach, teacher educators should pay more attention to the mathematical proficiency of PTs, particularly their abilities to systematically and efficiently use guess and check while solving problems and explain their solutions and reasoning to middle-school students.