甲基叔戊基醚合成反应的热力学分析

利用戊烯与甲醇合成甲基叔戊基醚(TAME)反应的热力学平衡实验数据, 选择不同的混合活度模型,分别计算得到了该反应体系的平衡常数,并与理论计算得到的平衡常数相比较,筛选出了适合该反应体系的活度计算模型.     

冶金过程中复杂夹杂物和钢液化学平衡计算

本文提出一个同温冶炼过程中预测非金属夹杂物沉淀的计算机程序。本研究中，多元硅酸盐溶体的Ｇｉｂｂｓ自由能由基于统计热力学的晶胞模型来计算，该晶胞模型按照氧与周围的阳离子构成的对称和非对称晶胞来描述硅酸盐熔体结构，假定高温冶炼时认与非金属夹杂物平衡，钢液中氧化物元素的活度由Ｗａｇｎｅｒ交互作用系数来计算，利用本程序可以估计炼钢时沉淀的非金属氧化物的成分，为调整冶炼工艺和提高产品质量提供指导，进一步可计     

交通平衡分配下的公路桥收费策略

假定一个城市被一条河流分为两部分（如我国的武汉，重庆等市），河上至少架设了两座公路桥梁，本文研究在交通平衡状态下，怎样制定车辆过桥梁的收费水平，使获得的总收入最大，乘客的总行驶时间最少，对多车种问题，研究了等价的数学模型和算法。还对一个含两座桥梁与三种车型的简单算例，进行了计算与分析。     

Modeling and Analysis of a Long Thin Conducting Stripline

A long thin conducting stripline embedded in a dielectric and centered between two large conducting plates, i.e., the stripline environment, is considered. The stripline is modeled as infinitely long, infinitely thin, and perfectly conducting by first considering a stripline of finite length, thickness, and conductivity in a dielectric layer. Starting from Maxwell's equations and assuming that the current on the stripline is a propagating wave in length direction, asymptotic expressions for the fields inside and in the neighbourhood of the stripline are deduced. These expressions are used to model the stripline in the stripline environment, which leads to a boundary-value problem for the electric potential. This problem is solved by two different approaches, leading to integral equations for the current and for an auxiliary function describing the electric potential. A relation between the current and the auxiliary function is deduced, which is used to obtain asymptotic expressions for current and impedance. Results are compared with a numerical solution of the integral equation for the current and with results in literature.     

小型中间下料预焙电解槽技术条件摆布的思考

对小型中间下料预焙电解槽技术条件摆布的原则和具体数据进行了探讨，提出了尽可能利用从大型预焙槽上得出的先进经验，并消化吸收，掌握好各种条件的平衡，以取得好经济技术指标的观点。     

An Algorithm For Selecting a Generator of Z_p

How to select a generator of Zp* is an important problem in cryptographic applications, where p is an odd prime. In this paper, we mainly consider the especial case that p is a safe prime, and give an algorithm for selecting a generator of Zp*,and find all generators of Zp* , where p is a safe prime. Our algorithm is more faster than the algorithm in [1]. Based on the proposed algorithm, one could find all generators of Zp* as well, where p is a perfect prime.     

Model Selection in Applied Science and Engineering: A Decision-Theoretic Approach

Mathematical models are developed and used to study the properties of complex systems in just about every area of applied science and engineering. Information on the system being modeled is, in general, incomplete, so that there may be two or more models consistent with the available information. The collection of these models is called the class of candidate models. A decision-theoretic method is developed for selecting the optimal member from the collection. The optimal model depends on the available information, the class of candidate models, and the model use. The candidate models may be deterministic or random. Classical methods for model selection, including the method of maximum likelihood and Bayesian methods, are briefly reviewed. These methods ignore model use and require data to be available. In addition, examples are used to show that classical methods for model selection can be unreliable in the sense that they can deliver unsatisfactory models when data is limited. The proposed decision-theoretic method for model selection does not have these limitations. The method accounts for model use via a utility function. This feature is especially important when modeling high-risk systems where the consequences of using an inappropriate model for the system can be disastrous.     

Emission of trace toxic metals during pulverized fuel combustion of Czech coals

A study of the trace elements emission (As, Se, Cd, Co, Cr, Cu, Zn, Hg, Tl, Pb, Ni, Sn, Sb, V, Mn and Fe) from pulverized coal combustion has been made at six heating and power stations situated in the Czech Republic. The amount of chlorine in coal has considerable influence on volatilization of some elements such as Zn, Cu, Pb, Hg and Tl, which is explained by the formation of thermodynamically stable compounds of these elements with chlorine. Generally, the affinities for Cl follows the order Tl > Cu > Zn > Pb > Co > Mn > Sn > Hg. The experimental data indicates enrichment of some of the trace toxic elements in the emissions (Cu, Zn, As, Se, Cd, Sn, Sb, Hg and Pb) and good agreement was obtained by thermodynamic equilibrium calculations with a few exceptions. In the case of Fe, Mn, Co, Cr and Sn calculated values are overestimated in the bottom ash and there are zero predicted amounts of these elements in the fly ash. In comparison, the results from experiments show up to 80% of these elements retained in fly ash. This implies that there exist additional steps leading to the enrichment by Fe, Mn, Co, Cr and Sn of small particles. Such mechanisms could include the ejection during devolatilization of small inorganic particles from the coal of bottom ash particles, or disintegration of the char containing these metals to small particles of fly ash. On the other hand, there are slightly overestimated or similar values of relative enrichment factors for As, V, Cu, Cd, Sb, Tl and Pb in the fly ashes and zero predicted values for bottom ashes. Our experimental results show about 5% or less of these elements are retained in bottom ashes, so they probably remain in the bottom ash inside unburned parts of coal. Copyright © 2003 John Wiley & Sons, Ltd.     

The complexity of economic equilibria for house allocation markets

We prove NP-completeness of deciding the existence of an economic equilibrium in so-called house allocation markets. House allocation markets are markets with indivisible goods in which every agent holds exactly one copy of some good.     

多相平衡规律在树脂再生过程中的应用研究

借助于三相平衡体系的性能分析，提出了一步法复苏再生阴离子交换树脂的新思路，从而实现阴离子交换树脂的再生和有机污染去除的同步性．对三相再生体系的再生能力，循环再生能力和树脂的有机污染去除能力进行了研究，并进行了基本性能测试和理论分析．结果表明三相再生体系能够很好的保持再生和循环再生效果，缓解了树脂的有机污染，一步复苏再生法具有理论可行性。