Contiguity relations for linearisable systems of Gambier type

We introduce the Schlesinger transformations for the Gambier, linearisable, equation and by combining the former construct the contiguity relations of the solutions of the latter. We extend the approach to the discrete domain obtaining thus the Schlesinger transformations and the contiguity relations of the solutions of the Gambier mapping. In all cases the resulting contiguity relation is a linearisable equation, involving free functions, and which can be related to the generic Gambier mapping.     

ON THE NONLOCAL SYMMETRIES OF THE μ-CAMASSA–HOLM EQUATION

The μ-Camassa–Holm (μCH) equation is a nonlinear integrable partial differential equation closely related to the Camassa–Holm and the Hunter–Saxton equations. This equation admits quadratic pseudo-potentials which allow us to compute some first-order nonlocal symmetries. The found symmetries preserve the mean of solutions. Finally, we discuss also the associated μCH equation.     

中老年人社区参与对生活满意度的影响机制

社区作为中老年人活动的常驻空间,承载居民日常活动、公共交往等需求,活动参与多样性对中老年人的健康水平具有积极影响。从多维度参与形式出发,基于太原市社区调查数据,构建结构方程模型,对中老年人参与途径与体系进行综合性分析,认识其差异性与关联性,并分析其潜在关系及对生活满意度的影响机制。研究发现,场所依恋可正向调节中老年人的生活满意水平,直接和间接产生总效应值0.595,且场所认同感有助于提高社区参与活力;社区线下参与对生活满意度产生总效应值0.132,线上参与产生总效应值0.059,社区线下参与可影响线上参与,且二者为正向促进关系;人口学变量也可在一定程度上影响中老年人的生活满意度,且影响程度从大到小依次为受教育程度、居住方式、工作类型、年龄、性别。根据研究结果提出中老年人社区参与提升的优化策略,可为城市社区参与活力的激发和提升提供参考。     

底水油藏水侵量计算新方法

针对底水油藏的开发,在缺乏试井数据的情况下采用常规油藏物质平衡法以及试井分析方法均难以确定水驱控制储量,进而无法获得水体参数和特征来计算油田的水侵量。为了更加准确的预测水驱油田水侵量,本文结合生产动态资料,选择符合的水驱特征曲线计算水驱控制储量。在此基础上,考虑油环油、溶解气、水体等因素,建立物质平衡方程,通过亏空体积曲线法计算获得水侵量。利用Fetkvoitch拟稳态模型,采用试错法,优化计算水体体积和水侵系数,保证Fetkvoitch拟稳态模型求解的水侵量和亏空体积曲线法求解的水侵量最接近,得到最优的水体体积和水侵系数对未来生产动态中水侵量进行预测。运用油藏数值模拟软件建立的模型与本文提出两种的计算方法拟合结果对比可知的水体体积的误差为2.6%、水侵指数的误差为2.2%,计算结果准确,为底水油藏计算水侵量提供了可靠的依据,并为预测水侵量提供了新的方法。     

比例延迟微分方程的极限学习机算法

目的 针对比例延迟微分方程,提出一种基于极限学习机(ELM)算法的单隐藏层前馈神经网络训练方法,并将该方法推广到求解双比例延迟微分系统。方法 首先,构建一个单隐藏层前馈神经网络并随机生成输入权值和隐藏层偏置;然后,通过计算系数矩阵使其满足比例延迟微分方程及其初值条件,将其转化为最小二乘问题,利用摩尔-彭罗斯广义逆解出输出权值;最后,将输出权值代入构建的神经网络便可获得具有较高精度的比例延迟微分方程数值解。结果 通过数值实验与已有方法的结果进行比较,验证了该方法对处理比例延迟微分方程与双比例延迟微分系统的有效性,且随着选取的训练点和隐藏层节点数量增多,所得到的数值解精度和收敛速度也随之增加。结论 ELM算法对处理比例延迟微分方程以及双比例延迟微分系统具有较好的效果。     

种群细胞增生中迁移方程的研究进展

介绍了近年来国际上种群细胞增生中的迁移方程的研究进展,主要阐述了这类迁移方程解的构造性理论及应用等研究成果。     

Densities and viscosities of propylene carbonate with aromatic hydrocarbons (benzene, 1,4-dimethylbenzene and ethylbenzene) at 288.15, 298.15 and 308.15 K

Densities and viscosities of the binary mixtures of propylene carbonate with benzene, 1,4-dimethylbenzene and ethylbenzene were measured over the entire mole fraction range at 288.15, 298.15 and 308.15?K. Using the experimental values of densities and viscosities the excess molar volumes and viscosity deviations were calculated. The results were fitted by Redlich–Kister equation. The results were discussed in terms of intermolecular interactions.     

The solubility of bosentan in aqueous-2-propanol mixtures at several temperatures,measurement and data correlation

ABSTRACT

The solubilities of bosentan (BST) in binary aqueous mixtures of 2-propanol at temperatures ranging from 293.15 to 313.15 K were determined using a shake-flask method. The produced data were modelled with the Jouyban-Acree-van’t Hoff model and difference between the predicted data and experimental ones were illustrated by percent average relative deviations (%ARD). Moreover, the thermodynamic functions of dissolution for BST in the aqueous 2-propanol solutions were computed which suggest that the dissolution process is endothermic and not spontaneous.     

微光成像系统的阈值探测理论和视距探测方程的研究

研究目前文献中常见的１８种微光成像系统探测方程之间的内在联系和异同之处，分析论证各种阈值探测理论和探测方程存在的问题和不足。在此基础上，从人眼的视觉理论和阈值特性出发，建立微光成像系统新的阈值探测理论模型，并分别导出微光直视系统和微光电视系统的视距探测方程。应用所导出的理论公式计算的数据与各种实际系统的实测数据进行了比较，证明新的阈值探测理论和视距探测方程是正确可靠的，且具有很高的精度。     

The size distribution for theA g RB f−g Model of polymerization

This paper gives the equilibrium distribution of polymer sizes for Flory'sA _g RB _f–g model of polymerization. In this model, the polymers are composed of structural units withg functional groups of the typeA and (f-g) functional groups of the typeB. Reaction is subject to three conditions: (1) Functional groups of the typeA react only with those of typeB, and vice versa. (2) Intramolecular reactions do not occur [and therefore only branched-chain (noncyclic) polymers and formed]. (3) Subject to conditions (1) and (2), all functional groups are equally reactive. The derivation employs Stockmayer's statistical mechanical method (first used on Flory'sRA _f model), coupled with a recursion giving the number of distinct polymers which may be assembled fromk units of theA _g RB _f–g type. We also give distributions for a limiting case of theA _g RB _f–g model, the so-calledA _g RB model. This paper completes the solution of the Smoluchowski coagulation equation (monodisperse case) for the kernelsa _ij =A + B(i +j)+ Cij. The proof will be given in another publication.