两大部类持续扩大再生产的优化

基于经典的马克思两大部类社会再生产公式,建立了离散确定型的持续扩大再生产的优化问题的动态规划模型.在生产资料部类的不变资本产出率高于另一部类的条件下,动态规划的指标函数是作为决策变量的生产资料部类积累率的单调函数,因而可以使用逆序解法或者顺序解法,获得唯一的最优策略和最优指标函数.借助《资本论》中的一个举例,计算验证了最优解.     

胶黏剂中的化学*——2020年美国国家化学周活动介绍及启示

重点介绍2020年美国国家化学周——“胶黏剂中的化学”实验活动,对科学阅读和采访未来科学家活动作简要介绍。以此得出本次化学周活动对我国化学教学的几点启示:(1)大概念视角,加深结构化认识;(2)扎根实践,提高应用意识;(3)鼓励探析,深化本质意识;(4)跨界科学,渗透STSE理念;(5)精选主题,凸显微型项目;(6)勤研善思,塑造优秀品格。     

ON EQUILIBRIUM PRICING AS CONVEX OPTIMIZATION

We study competitive economy equilibrium computation. We show that, for the first time, the equilibrium sets of the following two markets： 1. A mixed Fisher and Arrow- Debreu market with homogeneous and log-concave utility functions; 2. The Fisher and Arrow-Debreu markets with several classes of concave non-homogeneous utility functions; are convex or log-convex. Furthermore, an equilibrium can be computed as convex opti- mization by an interior-point algorithm in polynomial time.     

国家监测网方法测定地表水中总磷与国标法差异及改进

比较了国家地表水环境质量监测网总磷测定方法与国标法的差异。浊度补偿与过滤两种去除浊度方法测定结果的绝对偏差为-0.02~0.07 mg/L,其中含细颗粒物较多的样品绝对偏差较大,为0.04~0.07 mg/L,因此采用过滤法时,需对含较多细颗粒物的水样进行浊度补偿。对国家地表水环境质量监测网方法进行了改进,将原来的过滤后定容改为定容摇匀后过滤。方法改进前后,样品测定值的相对偏差不大于3.4%,绝对偏差为-0.01~0.02 mg/L。改进后的方法与原方法测定结果没有显著差异,但改进后方法浊度贡献减少,试剂用量减半,而且可操作性强,更加简便和环境友好。     

Catalyst-free one-pot synthesis of benzimidazoles from 1,2-diaminoarenes and alcohols

A new and efficient protocol is described for the one-pot synthesis of benzimidazoles from a variety of aryl alcohols and 1,2-diaminoarenes. The yields were ranging from moderate to excellent. Moreover, the present method is utilizing alcohols instead of aldehydes and the reactions are carried out under solvent- and catalyst-free conditions, offering an environmentally benign process.     

Boric acid in aqueous micellar medium: an effective and recyclable catalytic system for the synthesis of aryl-7,8-dihydro[1,2,4]triazolo[4,3-a]pyrimidine-6-carbonitriles

A simple, green, and efficient protocol is reported for the preparation of aryl-7,8-dihydro[1,2,4]triazolo[4,3-a]-pyrimidine-6-carbonitriles through one-pot multi component reaction using substituted aromatic aldehydes, malononitrile, and 3-amino[1,2,4]triazole. The reaction is catalyzed by boric acid in aqueous micellar condition. Present protocol incorporates environmentally non-hazardous reaction condition, easy work-up, and use of recyclable catalytic system with associated benefits like excellent yield (84–96%) and shorter reaction time (20 min). Proposed methodology offers rapid access to substituted aryl-7,8-dihydro[1,2,4]triazolo[4,3-a]pyrimidine-6-carbonitriles with high atom-economy and catalytic efficiency.     

考虑资本闲置的多年时滞人力资本投入占用产出模型

人力资本理论强调的是由教育所新增的人力资本对经济增长的决定作用.为了规划与中国经济持续增长相适应的人力资本需求,建立了一个新颖的考虑资本闲置的多年时滞投入占用产出模型.为了考虑人力资本时滞长的特点以及人力资本占用的损耗补偿,在斯通人口投入产出模型和Leontief动态投入产出模型基础上,提出了多年时滞人力资本投入占用产出模型.将LDS模型推广为考虑资本闲置的多年时滞人力资本投入占用产出模型,以便考虑影响教育产出的外生因素,并推导出既适于产出增加也适于产出减少的正解.应用上,预测至2015年的各种教育水平人力资本的总量和部门需求,发现高级人力资本短缺和人才行业结构不合理是经济发展需要解决的重要问题.     

FeCl3-catalyzed addition of nitrogen and 1,3-dicarbonyl nucleophiles to olefins

A direct intermolecular addition of nitrogen and 1,3-dicarbonyl nucleophiles to stabilized double bonds (styrenes, 1,3-dienes, enol-ethers, sugars.) in the presence of green and inexpensive FeCl₃ catalyst is described.     

人民币汇率变动对我国开放经济中外资流人影响的研究

就人民币汇率变动对我国开放经济外资流入的传导机制进行理论分析,并以高开放地区和行业为代表,结合实际数据利用面板模型进行实证研究,结果表明:人民币汇率与我国开放经济中外资流入呈现反向变动.由于外资对我国开放经济稳定健康发展具有重大意义和影响.因此,我国需保持人民币汇率在中长期稳定,从而避免对外资流入产生大的冲击.