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关键词： Heater   Coil   Design Performance   FEM  

摘要： In developing heaters typically an induction heater within specific temperature limits can be a key issue impacting the efficiency of the overall policy, as the typical loading of an induction heater is costly. Mathematical modelling is highly useful in terms of estimating the rise in temperature and in shedding light on the wider processes. The projected model might in addition reduce computing prices. The paper develops a 2-Dimensional (2-D) steady state thermal model in polar co-ordinates by means of finite element formulation and arch shaped components. A temperature time methodology is utilized to calculate the distribution of loss in various elements of the induction heater and used as input for finite element analysis. Additional precise temperature distributions are obtained. The projected model is applied to predict the temperature rise within the coil of the induction heater 3200 W totally encircled fan-cooled induction heater. The temperature distribution was determined considering convection from the outer air gap surface and circular finish surface for each entirely encircled and semi encircled structures.

摘要： 新课标中的数学教学不仅要求掌握教材中的知识,还要求学生在学习过程中,发现问题,解决问题,具备一定分析问题的能力。而小学数学教师就应当引导学生在解决问题的过程中深思穷究,逐渐提升学生的数学问题分析能力。一、重视过程,探寻因果课堂教学时,若直接为学生展示理论结果,学生难免死记硬背。针对这样的情况,教师可以引导学生参与知识的形成过程,即重视教材中一些公式的推导过程,促使学生能够主动探索问题的因果关系,从而更好地形成逻辑思维,加深

关键词： 数学分析课程   教学难点   教学优化   教学方法  

摘要： 数学分析课程在高校学生的基础课程中占有很大比重,具有内容多、系统性强、跨度广的特点,尤其对于数学专业的学生而言,这门课程的学习效果直接影响了其后续课程的学习质量。数学分析课程不但要求学生掌握全面而扎实的数学理论,也对学生的逻辑思维能力和独立思考能力提出了较高的要求。基于此,本文列举了数学分析课程教学的难点,并对此提出相应的优化策略和多种具体的教学方法,希望能提高数学分析课程的教学质量。

关键词： 斜塔变形   中心点坐标   倾斜程度   修复   数据拟合  

摘要： 依据实际测量的斜塔各层多点位置的坐标,求出各层中心点地坐标,再根据中心点坐标的变化,结合正多边形的几何性质,以及偏移距离随时间的关系。与斜塔的实际轴线和与地面垂直的实际轴线相比较,通过建立适当的数学模型,计算出古塔倾斜程度、弯曲度等多种变化趋势。可以对斜塔的未来形变量给出预测公式,有助于适时的对斜塔进行保护性的修复。

关键词： 实数   基本定理   数学分析  

摘要： 在实数范围内,研究连续函数会用到极限方法,这也是我们数学分析中常用到的研究方法。数学分析中的连续函数是定义在实数范围内的,所以对于实数的论证是必不可少的内容。在初中阶段我们就学过,实数是有理数和无理数的统称。我国对实数的论证起步较晚,学者从不同的角度引入实数,但其本质是相同的。所以,本文针对实数的基本定理进行简要的分析和研究。

关键词： SIR model   Cultural transmission   Social learning   Modern behavior   Mathematical model  

摘要： Traumatic lesions are often observed in ancient skeletal remains. Since ancient medical technology was immature, severely traumatized individuals may have frequently lost the physical ability for cultural skills that demand complex body movements. I develop a mathematical model to analyze the effect of trauma on cultural transmission and apply it to Neanderthal culture using Neanderthal fossil data. I estimate from the data that the proportion of adult individuals who suffered traumatic injuries before death was approximately 0.79-0.94, in which 0.37-0.52 were injured severely and 0.13-0.19 were injured before adulthood. Assuming that every severely traumatized individual and a quarter to a half of the other traumatized individuals lost the capacity for a cultural skill that demands complex control of the traumatized body part, I estimate that if an upper limb is associated with a cultural skill, each individual had to communicate closely with at least 1.5-2.6 individuals during adulthood to maintain the skill in Neanderthal society, and if a whole body is associated, at least 3.1-11.5 individuals were necessary. If cultural transmissions between experts and novices were inaccurate, or if low frequency skills easily disappeared from the population due to random drift, more communicable individuals were necessary. Since the community size of Neanderthals was very small, their high risk of injury may have inhibited the spread of technically difficult cultural skills in their society. It may be important to take this inhibition into consideration when we study Neanderthal culture and the replacement of Neanderthals by modern humans. (C) 2017 Elsevier GmbH. All rights reserved.

关键词： 集合   函数   筛法   整数对   数学分析  

摘要： 在研究质数的问题中常常运用到筛法计算质数的个数.本文介绍用更苛刻的筛除法求出质数对的可靠下限,同时用函数等数学分析的方法进行分析,即可解决这类性质的关键问题.

关键词： 数学分析思想   高中数学解题   应用  

摘要： 数学分析思想是我们解决数学难题的利器,也是高中数学学习的难点与重点,在日常学习中,我们要注意挖掘教材中的数学思想,学会举一反三.本文主要介绍了函数思想、迁移思想、类比归纳思想、导数知识,并总结这几种思想在高中数学解题中的应用方法与注意事项,希望能够为同学们带来启示.

关键词： 翻转课堂   数学分析   教学  

摘要： 从翻转课堂的内涵出发,分析了新建本科院校翻转课堂教学法在数学分析教学中的应用以及翻转课堂教学法的优势,总结了新建本科院校数学分析教学中实施翻转课堂教学法面临的挑战。