A simple correlation for estimating viscosities of solutions of salts in aqueous,non-aqueous and mixed solvents applicable to high concentration,temperature and pressure

A new correlation is proposed to correlate the viscosities of salt solutions in aqueous, non-aqueous solvents and their mixtures. The correlation involves two parameters i.e. solvation number and ion-solvent interaction coefficient, which are well-documented quantities in the literature. The proposed correlation has been examined on the experimental viscosity data of salt solutions in aqueous, non-aqueous and their mixtures up to 473 K and 31 MPa pressure. The salts with various ionic charges were employed for testing the proposed correlation. Several non-aqueous solvents like dimethyl sulphoxide, alcohols and formamide were included for the data regression. The viscosities of these solutions can be correlated to within 0.7%.     

一种新的SAR图像斜距多普勒定位模型的直接解法

斜距多普勒定位模型是实现SAR图像无控制点定位的基本模型,因此如何高效准确地获得RD方程组的解成为实现SAR图像无控制点几何定位的根本问题,也是实现SAR自动图像定位的关键。首先利用地固坐标系下目标速度为零的特性,简化RD模型并整理为一元四次方程,然后利用一元四次方程求根方法,推导出斜距多普勒定位模型的明确数学解析解,并与常用的数值迭代求解方法进行比较分析,仿真结果验证了推导的正确性。新解法具有无需设置初始值,易于编程实现,鲁棒性高的特点。     

一些特殊方程的计算机程序解法

在人们生产、生活、以及科学研究中,常常会出现一些不容易求解的非线性方程或非线性方程组等特殊方程。文章运用数学知识和计算机MATLAB语言,介绍了这些方程的求解,从而快速得到这些方程的解。     

利用改进的差分进化算法求解等圆Packing问题

等圆Packing问题属于强约束的复杂组合优化问题之一,针对其强约束特点及难点,通过改进传统的差分进化算法,提出一种等圆Packing问题的求解方法。该改进算法特点是将有效解空间加入差分进化的变异约束中,并采用随机排序机制改进差分进化的选择机制。通过多次实验,表明此算法在求解小规模等圆Packing问题上取得的效果与目前所能找到的最优值相差不到0.6%,从而验证了演化计算在求解等圆Packing问题的可行性;与此同时,演化算法具有很好的收敛性,因此在其他强约束的复杂优化问题上将有很好的应用。     

Stability of Impulsive Stochastic Neutral Partial Differential Equations With Infinite Delays

In this paper, we study the existence and asymptotic stability in the pth moment of the mild solutions to impulsive stochastic neutral partial differential equations with infinite delays. Sufficient conditions ensuring the stability of the impulsive stochastic system are established. The results are obtained via the Banach fixed point theorem.     

A balanced solution of a fuzzy soft set based decision making problem in medical science

The purpose of this paper is two folded. Firstly, the concept of mean potentiality approach (MPA) has been developed and an algorithm based on this new approach has been proposed to get a balanced solution of a fuzzy soft set based decision making problem. Secondly, a parameter reduction procedure based on relational algebra with the help of the balanced algorithm of mean potentiality approach has been used to reduce the choice parameter set in the parlance of fuzzy soft set theory and it is justified to the problems of diagnosis of a disease from the myriad of symptoms from medical science. Moreover the feasibility of this proposed method is demonstrated by comparing with Analytical Hierarchy Process (AHP), Naive Bayes classification method and Feng's method.     

On the sizing of a solar thermal electricity plant for multiple objectives using evolutionary optimization

Design, implementation and operation of solar thermal electricity plants are no more an academic task, rather they have become a necessity. In this paper, we work with power industries to formulate a multi-objective optimization model and attempt to solve the resulting problem using classical as well as evolutionary optimization techniques. On a set of four objectives having complex trade-offs, our proposed procedure first finds a set of trade-off solutions showing the entire range of optimal solutions. Thereafter, the evolutionary optimization procedure is combined with a multiple criterion decision making (MCDM) approach to focus on preferred regions of the trade-off frontier. Obtained solutions are compared with a classical generating method. Eventually, a decision-maker is involved in the process and a single preferred solution is obtained in a systematic manner. Starting with generating a wide spectrum of trade-off solutions to have a global understanding of feasible solutions, then concentrating on specific preferred regions for having a more detailed understanding of preferred solutions, and then zeroing on a single preferred solution with the help of a decision-maker demonstrates the use of multi-objective optimization and decision making methodologies in practice. As a by-product, useful properties among decision variables that are common to the obtained solutions are gathered as vital knowledge for the problem. The procedures used in this paper are ready to be used to other similar real-world problem solving tasks.     

线性矩阵方程异类约束最小二乘解的迭代算法

多矩阵变量线性矩阵方程(LME)约束解的计算问题在参数识别、结构设计、振动理论、自动控制理论等领域都有广泛应用。本文借鉴求线性矩阵方程(LME)同类约束最小二乘解的迭代算法,通过构造等价的线性矩阵方程组,建立了求多矩阵变量LME的一种异类约束最小二乘解的迭代算法,并证明了该算法的收敛性。在不考虑舍入误差的情况下,利用该算法不仅可在有限步计算后得到LME的一组异类约束最小二乘解,而且选取特殊初始矩阵时,可求得LME的极小范数异类约束最小二乘解。另外,还可求得指定矩阵在该LME的异类约束最小二乘解集合中的最佳逼近解。算例表明,该算法是有效的。     

咪唑啉缓蚀剂工艺条件优化及效果

在减缓金属腐蚀的研究中,为了缓解在酸性溶液、碱性溶液以及大气、土壤等介质中金属腐蚀较为严重的问题,对咪唑啉类缓蚀剂进行了工艺条件优化.采用静态失重法研究了碳钢在加入了缓蚀剂的盐酸溶液中的缓蚀性能.在最佳合成条件下苯甲酸与二乙烯三胺最佳摩尔比为1∶1.3,催化剂质量分数为1.2%,环化时间为1 h,咪唑啉中间体与氯化苄的最佳摩尔比为1∶1.1,季铵化反应时间为1 h,季铵化反应温度为70 ℃,缓蚀剂的最佳质量分数为1%,最终缓蚀率可以达到99.37%.