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关键词： Nonlinear acoustics   Nonlocal wave equation   Relaxing media   Memory kernel  

摘要： Motivated by the propagation of nonlinear sound waves through relaxing hereditary media, we study a nonlocal third-order Jordan-Moore-Gibson-Thompson acoustic wave equation. Under the assumption that the relaxation kernel decays exponentially, we prove local well-posedness in unbounded two- and three-dimensional domains. In addition, we show that the solution of the three-dimensional model exists globally in time for small and smooth data, while the energy of the system decays polynomially. (C) 2020 The Author(s). Published by Elsevier Inc.

关键词： 萝卜干酱腌菜   模糊数学   正交试验  

摘要： 以萝卜干酱腌菜的生产工艺条件为研究对象,对萝卜干酱腌菜生产过程进行分析,建立萝卜干酱腌菜的综合感官评价标准。利用模糊数学矩阵分析的方法,分别建立酱油和醋配比、食盐添加量、糖添加量与萝卜干酱腌菜品质之间的影响关系,最终分别选择3种影响因素进行正交试验验证。经验证,萝卜干酱腌菜生产工艺采用A2B2C2的最佳组合时,可使萝卜干酱腌菜品质综合评价达到85.9分,为萝卜干酱腌菜生产工艺的改进提供了参考依据。

关键词： 数学分析   极值原理   实际应用   教学研讨  

摘要： 在生产实践和科学实验中,我们常会遇到求函数的极值问题,如利润最大、成本最小、线路最短、用料最少等问题。函数极值理论在优化问题、航海技术、保险问题、价格修订、环境保护等众多领域中占据相当重要的地位。本文通过用函数中的极值问题来解决很多生活中的实际问题,通过理论联系实际,进行相应的教学研讨,对于改变大学生知识学了无用的思想,引导大学生创业,都具有十分重要的意义和作用。

关键词： 《数学分析》   教学   创新  

摘要： 《数学分析》中的概念多且抽象,概念即是主体,又是数学思维的工具,作为数学系的学生最重要的基础课之一,正确理解并且掌握《数学分析》中的概念是掌握该课程基础知识的前提。本文主要探讨了《数学分析》中的概念教学的过程,从概念的引入、概念的教学设计和概念的对比研究等方面对数学分析课程中的概念的教学进行了探讨。

关键词： 研讨式教学   数学分析   教学模式  

摘要： 《数学分析》是一门难度较大、较抽象、逻辑性较强的专业基础课程,大部分学生难以掌握。文章主要探究了研讨式教学法在《数学分析》课程中的应用,让学生成为课堂的主角,更好地掌握此课程。

关键词： 混合式教学   慕课   微课   新工科   创新人才培养实验班  

摘要： 文章结合创新人才培养实验班的教学实践讨论数学分析课程教学内容及其相适应的混合式教学模式,对新工科创新人才数学综合能力的培养进行了探讨。

关键词： 数学建模思想   数学分析课程   渗透途径  

摘要： 对数学建模思想在数学分析课程中的渗透途径进行探究,分析了将数学分析课程建模思想渗透到教学切入点的必要性,设计出了数学分析课程的相关实践教学环节和与理论教学相对独立又密切联系的教学新模式,并通过知识点引入和知识应用环节来对建模思想进行融入渗透,以期构建科学的教学体系及教学实施方案,提高知识的实用性和讲授的通俗性。

关键词： 数学分析   “课程思政”   实践策略  

摘要： 在此次研究中,针对数学分析课程教学现状,通过多个角度探讨“课程思政”融入其中的实践策略,在有效结合知识传授和价值引领的基础上,激发学生的学习兴趣,促进其全面发展。

关键词： h index   Research assessment   Citation   Lognormal distribution  

摘要： Citation distributions are lognormal. We use 30 lognormally distributed synthetic series of numbers that simulate real series of citations to investigate the consistency of the h index. Using the lognormal cumulative distribution function, the equation that defines the h index can be formulated;this equation shows that h has a complex dependence on the number of papers (N). We also investigate the correlation between h and the number of papers exceeding various citation thresholds, from 5 to 500 citations. The best correlation is for the 100 threshold but numerous data points deviate from the general trend. The size-independent indicator h/N shows no correlation with the probability of publishing a paper exceeding any of the citation thresholds. In contrast with the h index, the total number of citations shows a high correlation with the number of papers exceeding the thresholds of 10 and 50 citations;the mean number of citations correlates with the probability of publishing a paper that exceeds any level of citations. Thus, in synthetic series, the number of citations and the mean number of citations are much better indicators of research performance than h and h/N. We discuss that in real citation distributions there are other difficulties. (c) 2020 Elsevier Ltd. All rights reserved.

关键词： Cattaneo-Christov heat flux   joule heating   non-Newtonian fluids   variable thermal conductivity   double stratification   heat generation   absorption  

摘要： The objective of the present research is to study the effects of variable thermal conductivity on the three-dimensional steady flow of Maxwell nanofluid in the presence of heat generation/absorption and double stratification. The theory of Cattaneo-Christov is used instead of the law of Fourier because the law of Fourier has parabolic equations and move at infinite speed in space. By using adequate transformation, the nonlinear partial differential equations (PDEs) are transformed into a set of ordinary equations (ODEs). The set of equations are solved numerically by adopting the bvp4c Matlab technique. The effects of different evolving parameters on axial velocity, temperature, and concentration are described in graphs. It is perceived that thermal and concentration stratification parameters result in the reduction of temperature and concentration distribution. Further, the heat generation parameter enhances the temperature distribution.