一类竞争——合作生态模型平衡点的渐近稳定性

研究一类竞争-合作生态数学模型平衡点的渐近稳定性,得到了一组保证平衡点渐近稳定的充分条件.     

System with Potential Dual Modes of Metal–Ligand Cooperation: Highly Catalytically Active Pyridine‐Based PNNH–Ru Pincer Complexes

Metal–ligand cooperation (MLC) plays an important role in catalysis. Systems reported so far are generally based on a single mode of MLC. We report here a system with potential for MLC by both amine–amide and aromatization–dearomatization ligand transformations, based on a new class of phosphino–pyridyl ruthenium pincer complexes, bearing sec‐amine coordination. These pincer complexes are effective catalysts under unprecedented mild conditions for acceptorless dehydrogenative coupling of alcohols to esters at 35 °C and hydrogenation of esters at room temperature and 5 atm H₂. The likely actual catalyst, a novel, crystallographically characterized monoanionic de‐aromatized enamido–Ru^II complex, was obtained by deprotonation of both the N?H and the methylene proton of the N‐arm of the pincer ligand.     

两个企业竞争与合作动力学模型的动力学行为

研究了非自治两个企业竞争与合作动力学模型的动力学行为.首先利用微分方程比较原理得到了模型的有界性、持久性和灭绝性的充分条件.然后通过构造Lyapunov函数得到了模型的全局吸引性的充分条件.最后针对所得到的理论结果给出了例子和数值模拟.     

多人合作投资多元化中的层次分析法

本文利用层次分析法对企业中存在的多人合作投资多元化问题进行探讨与研究 ,将定性分析与定量计算结合起来 ,求解多元化投资规划中的权系数 .     

随机截尾的Warner与Simmons模型

本文在随机截尾模型的基础上,为了提高回答者的合作程度,提出了两种改进的调查敏感性问题数量特征的随机化回答方法。     

沉默策略对囚徒困境博弈合作水平的影响

研究沉默策略对囚徒困境博弈合作水平的影响.在博弈中玩家得到的利益不能达到期望值时,大部分的玩家会选择沉默来避免在博弈中的损失,在下一次的博弈中再选择有利的策略来获取更多的收益.利用矩阵的半张量积方法,建立带有沉默策略的网络化囚徒困境博弈演化的数学模型,并结合逻辑的矩阵表达,将其表示成代数形式.最后讨论博弈的最终合作水平并给出实例.     

New Bifunctional Bis(azairidacycle) with Axial Chirality via Double Cyclometalation of 2,2′-Bis(aminomethyl)-1,1′-binaphthyl

As a candidate for bifunctional asymmetric catalysts containing a half-sandwich C–N chelating Ir(III) framework (azairidacycle), a dinuclear Ir complex with an axially chiral linkage is newly designed. An expedient synthesis of chiral 2,2′-bis(aminomethyl)-1,1′-binaphthyl (1) from 1,1-bi-2-naphthol (BINOL) was accomplished by a three-step process involving nickel-catalyzed cyanation and subsequent reduction with Raney-Ni and KBH₄. The reaction of (S)-1 with an equimolar amount of [IrCl₂Cp*]₂ (Cp* = η⁵–C₅(CH₃)₅) in the presence of sodium acetate in acetonitrile at 80 °C gave a diastereomeric mixture of new dinuclear dichloridodiiridium complexes (5) through the double C–H bond cleavage, as confirmed by ¹H NMR spectroscopy. A loss of the central chirality on the Ir centers of 5 was demonstrated by treatment with KOC(CH₃)₃ to generate the corresponding 16e amidoiridium complex 6. The following hydrogen transfer from 2-propanol to 6 provided diastereomers of hydrido(amine)iridium retaining the bis(azairidacycle) architecture. The dinuclear chlorido(amine)iridium 5 can serve as a catalyst precursor for the asymmetric transfer hydrogenation of acetophenone with a substrate to a catalyst ratio of 200 in the presence of KOC(CH₃)₃ in 2-propanol, leading to (S)-1-phenylethanol with up to an enantiomeric excess (ee) of 67%.     

基于多维任务驱动下的物理化学实验课程探索*

设计不同维度的课程任务学习单,并将自主探究、协作交流等学习模式引入物理化学实验的实践教学,深入探讨了物理化学实验课程实施翻转课堂的教学模式的研究。整个教学环节包括:课前资源导学、课内知识拓展、课后成效评价。实践表明,翻转课堂有利于提高学生的知识内化能力、分析解决问题能力、合作交流能力以及自学能力,尤其是文献调研的能力有显著提升,该模式取得了较好的教学效果。     

System throughput maximization in IRS-assisted phase cooperative NOMA networks

This work investigates performance of system throughput in intelligent reflecting surfaces (IRSs)-enabled phase cooperative non-orthogonal multiple access (NOMA) framework. By exploiting heterogeneous cognitive radio networks concept the aim is to maximize the sum rate of secondary users in the proposed phase cooperative downlink network configuration via optimization solutions. However, the optimization problem comes out to be NP-hard and precludes direct solution. Hence, an alternating optimization is applied at the primary network to solve the maximization problem by exploiting the transmit beamforming (BF) at the power station (PS) and phase shift optimization at the IRS. Later, sum rate maximization for secondary network is performed by utilizing phase shifts of primary network via phase cooperation. In order to find global optimal solutions for active beamformers at both PSs, a branch-reduce-and-bound (BRnB) method is used whereas, passive phase shift optimization at the primary PS is performed via a simple iterative solution, i.e., the element-wise block coordinate descent method. For the proposed framework, Monte-Carlo simulations are performed where the optimality of the global solution is compared with heuristic BF methods including minimum-mean-square-error/regularized zero-forcing-beamforming (ZFBF) and ZFBF. The BRnB algorithm sets an upper performance bound by improving the sum rate of users in comparison with the conventional heuristic BF schemes. This work signifies the utilization of phase cooperation in IRS-assisted NOMA networks for a multi-user environment.     

Reversible Hydride Migration from C5Me5 to RhI Revealed by a Cooperative Bimetallic Approach

The use of cyclopentadienyl ligands in organometallic chemistry and catalysis is ubiquitous, mostly due to their robust spectator role. Nonetheless, increasing examples of non-innocent behaviour are being documented. Here, we provide evidence for reversible intramolecular C−H activation at one methyl terminus of C₅Me₅ in [(η-C₅Me₅)Rh(PMe₃)₂] to form a new Rh−H bond, a process so far restricted to early transition metals. Experimental evidence was acquired from bimetallic rhodium/gold structures in which the gold center binds either to the rhodium atom or to the activated Cp* ring. Reversibility of the C−H activation event regenerates the Rh^I and Au^I monometallic precursors, whose cooperative reactivity towards polar E−H bonds (E=O, N), including the N−H bonds in ammonia, can be understood in terms of bimetallic frustration.