Quasi-linearization and the Identification of Parameters in Partial Differential Equations

The method of quasi-linearization has been adapted to the problemof identifying parameters in partial differential equations.Convective and radiative heat transfer coefficients are obtainedfrom an equation that models the transient heating of a bedof spheres.     

ROBUST MATHEMATICAL PROGRAMMING FOR NATURAL RESOURCE MODELING UNDER PARAMETRIC UNCERTAINTY

Abstract Inaccurate specification of model coefficients can lead to false or distorted findings in modeling investigations of natural resource management. Hence, this paper outlines a decision framework for optimization problems in which only the bounded set of outcomes for uncertain parameters is known. These models can be solved with standard mathematical programming software and are no larger than their deterministic equivalent. The robust approach is contrasted against deterministic analysis and is demonstrated for two applications regarding the management of natural resources. Deterministic plans are infeasible in at least 40% of cases when parameters vary from their point estimates. Inclusion of robust constraints immunizes against this infeasibility, thereby removing errors arising from false certainty. Additionally, incorporation of bounded parameters in the objective function yields interval‐valued sets containing potential outcomes. However, this increase in the general relevance of model output introduces some degree of suboptimality as deterministic plans are buffered to proactively account for potential variability. The cost of robustness increases with the simulated spread of uncertain coefficients but may be reduced through accounting for the uncertainty aversion of decision makers.     

PHOSPHORESCENCE MAXIMA AND TRIPLET STATE LIFETIMES OF NAD + AND ε-NAD+ IN TERNARY COMPLEXES WITH HORSE LIVER ALCOHOL DEHYDROGENASE

This paper describes the phosphorescence emission and decay times of NAD+ and its fluorescent etheno derivative, epsilon-NAD+, in the pyrazole ternary complex with horse liver alcohol dehydrogenase (ADH). We show that the epsilon-NAD+ triplet state, as well as the tryptophan triplet state, can be utilized to monitor the coenzyme-enzyme interaction. The decays of NAD+ and AMP are single exponential, and the lifetimes are the same within experimental error. The phosphorescence lifetimes, evaluated as single exponentials, are slightly shorter in epsilon-NAD+ than they are in epsilon-AMP. Whereas the decay of epsilon-AMP was adequately fit by a single exponential with a time constant of very close to 0.5 s, it was necessary to fit the decay of epsilon-NAD+ to a double exponential. Ternary complexes with NAD+ excited at 297 nm exhibit decay kinetics nearly identical to those of ADH by itself. On the other hand, when excitation of the epsilon-NAD+ ternary complex is provided at 313 nm, where there is very little absorption by either tryptophan residue, the decay law of the ternary complex is similar to that of epsilon-NAD+ in solution. Our results demonstrate that NAD+ and epsilon-NAD+ quench tryptophan phosphorescence in ADH. Normalizing the phosphorescence intensity to the 0-0 vibronic band assigned to Trp-15 (blue-edge), we calculate a 21% decrease in the phosphorescence associated with Trp-314 at stoichiometric saturation of the coenzyme binding sites with NAD+ in the ternary complex. When the active sites are saturated with epsilon-NAD+, the relative phosphorescence due to Trp-314 decreases by 63%.(ABSTRACT TRUNCATED AT 250 WORDS)     

Credit scoring using neural and evolutionary techniques

This paper compares the predictive performance of linear discriminantanalysis, neural networks, genetic algorithms and decision treesin distinguishing between good and slow payers of bank creditcard accounts. Predictive models were built using the evolutionarytechniques and the results compared with those gained from thediscriminant analysis model published in Crook et al. (1992),The Service Industries Journal 12 which uses the same dataset.A range of parameters under the control of the investigatorwas investigated. We found that the predictive performance oflinear discriminant analysis was superior to that of the otherthree techniques. This is consistent with some studies but inconsistentwith others.     

高温高压下钙钛矿晶体结构变化

最近高压单晶X射线衍射实验明确显示正交晶系（Pbnm或Pnma）（钙钛矿）ABO3的高压压缩行为完全由晶体框架结构（framework）中的BO6八面体和AO12多面体的相对压缩性所确定,即对一些钙钛矿晶体,BO6较AO12多面体更易压缩时,压力导致晶体结构向高对称性结构演变;对另外一些钙钛矿,BO6较AO12多面体更不易压缩时,压力导致晶体结构向低对称性结构演变.基于价键匹配关系假设,建立多面体压缩率之间关系：βB/βA=MA/MB,由价键参数和常压晶体结构数据计算参量Mi,可以估计BO6和AO12多面体的相对压缩率,从而正确地预言高压压缩行为.文章最后引入高温高压钙钛矿倾斜相变的一般性规律,即MA/MB＞1时,相变温度和高压关系为dTc/dP＜0,当MA/MB＜1时,dTc/dP＞0。     

Phase‐plane analysis of simple nonlinear autonomous systems

The aim of this paper is to encourage the teaching of phase‐plane analysis. This topic has practical applications in a wide variety of fields including national economic modelling, biology, technological innovations, sociology and modern medicine.     

Theoretical aspects of neutrino mass and lepton flavour violation

We consider lepton flavour violation (LFV) in the charged lepton sector both from the bottom-up effective Lagrangian approach and from the top-down approach via various case studies that have been analysed. The implications for LFV studies at the LHC is briefly discussed. Finally the nature of LFV in the neutrino sector is considered, paying particular regard to the implications of the recent measurements of ?? ₁₃.