具有非常数回报率的证券指数跟踪问题的简单脉冲控制

运用随机脉冲控制理论讨论了均值 -方差模式的现金管理指数跟踪问题 ,在回报率随现金比重变化的情况下 ,讨论了证券指数跟踪最优化问题 ,得出了存在简单脉冲控制策略的充分性条件 .     

试论外币报表折算方法的选择

作为当今国际会计领域公认的三大难题之一，随着经济全球化的迅猛发展，外币报表折算方法的选择显得越来越重要，这也成为了目前会计理论界和实务界一直探讨的焦点之一。在时态法和现行汇率法的争议中，现行汇率法暂时占据上风，也成为我国企业外币报表折算方法的现行选择。     

Equality and inequality constrained optimization algorithms with convergent stepsizes

In this paper, we consider two algorithms for nonlinear equality and inequality constrained optimization. Both algorithms utilize stepsize strategies based on differentiable penalty functions and quadratic programming subproblems. The essential difference between the algorithms is in the stepsize strategies used. The objective function in the quadratic subproblem includes a linear term that is dependent on the penalty functions. The quadratic objective function utilizes an approximate Hessian of the Lagrangian augmented by the penalty functions. In this approximation, it is possible to ignore the second-derivative terms arising from the constraints in the penalty functions.The penalty parameter is determined using a strategy, slightly different for each algorithm, that ensures boundedness as well as a descent property. In particular, the boundedness follows as the strategy is always satisfied for finite values of the parameter.These properties are utilized to establish global convergence and the condition under which unit stepsizes are achieved. There is also a compatibility between the quadratic objective function and the stepsize strategy to ensure the consistency of the properties for unit steps and subsequent convergence rates.This research was funded by SERC and ESRC research contracts. The author is grateful to Professors Laurence Dixon and David Mayne for their comments. The numerical results in the paper were obtained using a program written by Mr. Robin Becker.     

切削刀具倒棱刃口挤压力的理论计算

根据试验观察．揭出了刀具刃口带负倒棱时的切削模型。在此模型中,刀具刃口 存在一个“金属死区”。以新模型为基础．采用能量法,对高温、高应变率下刀具刃 口的挤压力进行了理论计算。所做工作的特点是：１）在材料变形分析中计入了挤压 层金属绕过刀具刃口时的过剩变形;２）进行有关材料变形与物理特性的计算时,考 虑了温度与应变率的影响。利用新研制的压电式切削测力仪进行验证试验,其结果表 明,理论计算值与实测数据较好一致。     

Slow quenching for a one-dimensional kinetic Ising model: Residual energy and domain growth

A one-dimensional kinetic Ising model with Glauber dynamics subjected to a slow continuous quench to zero temperature is studied. For a rather general class of cooling schemes, described by a time-dependent temperatureT(t), the mean domain sizeL(t) is calculated along with the residual energye _res (r) as a function of the cooling rater. If the attempt frequency =₀ exp(–/kT), entering into the transition rates, is temperature dependent (i.e., the barrier is non-zero), the asymptotic growth ofL(t) is given byL()–L(t)~exp[–/kT(t)]. For this case the residual energy exhibits a power-law behaviore _res(r) ~r ^{/2(1 + )} forr small, where =4J/ andJ is the nearest neighbor coupling constant. For =0 and for certain cooling schemes the residual energy is zero andL(t)~t1/2, independent ofr.     

能耗率极值原理和重力理论交互作用下粗质颗粒的浓度垂线分布

本文同时运用能耗率极值原理和重力理论研究了固液两相流在粗质颗粒时固相浓度的垂线分布,通过探讨能耗率极值原理对“非单向性”作用问题,进一步揭示了两相流运动的机理。计算结果与实测数据有较好的吻合。其研究方法、原理、步骤也极易推广到其它各种粒径的固相。     

粒径和流速对吸附速率的影响

本文主要考察了吸附剂的粒径大小及动态循环时流速大小对吸附速率的影响，根据膜扩散限制和孔隙扩散限制的理论模型对其影响作了定量描述。     

椭圆法用于阳极溶出伏安法测定微量银

用新物理量Ｖｏｐ的椭圆法对阳极溶出伏安法分析的含银离子浓度为１０＾５－１０＾－９ｍｏｌ／Ｌ的一系列溶液进行了研究。结果表明：光学方法与电化学方法所得分析结果相同；椭圆法可检测的浓度下限比电化学方法低一个数量级以上。而且测量的相对平均偏差也小于电化学方法。     

Solid-state interactions and drug release of teicoplanin in binary combinations with peracetylated α-, β-, and γ-cyclodextrins

Triacetyl α-cyclodextrin, triacetyl β-cyclodextrin and triacetyl γ-cyclodextrin were tested as possible hydrophobic carriers to prolong the release of hydrophilic teicoplanin (TCP). Physical–chemical characterization of individual components, drug-carrier physical mixtures at 0.5, 0.67 and 0.75 mass fraction of carrier, and the respective interaction products by kneading or evaporative crystallization under microwave irradiation was carried out using differential scanning calorimetry (DSC) and thermogravimetric analysis (TGA). In vitro drug release in pH 7.4 phosphate buffer at 37 °C was determined by intrinsic dissolution rate (IDR) measurements on non disintegrating compressed discs. Solid-state interactions of TCP with triacetyl α-cyclodextrin by evaporative crystallization and kneading and with triacetyl β-cyclodextrin by evaporative crystallization (probably resulting in carrier amorphization) were demonstrated. The role of carrier hydrophobicity, carrier mass fraction and preparation method of solid drug-carrier combinations on solid-state drug-carrier interactions and slowing down of TCP release was assessed. Modulation of drug release can be achieved using TCP-triacetyl γ-cyclodextrin combinations at 0.5 mass fraction of carrier.     

甲醇催化分解动力学之研究

甲醇的裂解产物为H_2与CO,故甲醇被视为一种方便、安全的贮氢材料,可作为汽油的代用燃料;其裂解气作为保护气氛可广泛应用于热处理工业。甲醇裂解有两种方法,高温热裂解(约930℃)与低温催化裂解(约300℃)由于低温催化裂解有诸多优点,在工业上的应用正在发展。