教学课程资源库 更多>>

关键词： 卫星变轨   向心加速度   曲率半径   数学分析  

摘要： 高中物理天体运动中的卫星变轨问题是一个教学难点,学生对卫星变轨时到底是加速还是减速,以及变轨时切点处的向心加速度是否发生变化,都感到困惑。文章对卫星的变轨问题进行数学分析,帮助学生深入理解卫星变轨问题。

关键词： 数学分析   课程思政   探索   实践  

摘要： 课程思政是当前思想政治工作的新理念,其目标是向学生传授学科知识的同时兼顾育人,使学生树立正确的价值观、人生观与世界观。本文结合数学分析课程教学内容以及专业特点,对如何做好数学类课程思政进行积极探索,总结在数学专业课程教学中融入思政教育的教学实践经验。

关键词： Radiation heat transfer   Existence   Uniqueness   Numerical resolution  

摘要： This work is devoted to the analysis and resolution of a well-posed mathematical model for several processes involved in the artificial circulation of water in a large waterbody. This novel formulation couples the convective heat transfer equation with the modified Navier-Stokes system following a Smagorinsky turbulence model, completed with a suitable set of mixed, nonhomogeneous boundary conditions of diffusive, convective and radiative type. We prove several theoretical results related to existence of solution, and propose a full algorithm for its computation, illustrated with some realistic numerical examples. (C) 2019 Elsevier B.V. All rights reserved.

关键词： 永磁无刷直流电机   电磁转矩   电磁效率   数学分析   变参数分析  

摘要： 在理论上推导出电机性能的影响因素是科学设计电机的前提。为了在理论上推导出影响永磁无刷直流电机的电磁转矩和电磁效率的影响因素,并用虚拟仿真加以验证,按照电机学的粘性阻尼理论,结合电磁学基本原理推导了电磁转矩和电磁效率关于各设计变量的公式。通过公式可以发现,此类电机的电磁转矩和电磁效率可用多元函数来表达,两者的决定性因素是额定电压、平均半匝长系数、永磁体厚度、极数和气隙等设计参数,并且经过数学分析可以得到电磁转矩和效率关于各设计变量的变化趋势。为了进一步证实理论推导的正确性,ANSYS Electronics Desktop软件的RMxprt模块进行了此类电机性能影响因素的仿真分析,分析结果与理论研究基本一致。这些趋势可以为永磁无刷直流电机研发人员选取优化设计变量和调整变量的数值提供方向。

关键词： 信息技术   数学分析   推理能力  

摘要： 互联网的发展,使计算机应用型人才的需求不断提高。小学阶段是培养学生计算机知识与素养的基础阶段。重视通过课堂教学活动培养学生的数学分析推理能力,对于提升学生解决问题的能力具有现实意义。文章针对信息技术评价手段发展数学分析推理能力的相关问题进行探讨,分析其有效的教学方法,旨在促进小学信息技术课程教学水平的提高。

关键词： 电容分压   SPWM   直流电源电压   逆变器   开关器件   环保节能   数学分析   级联  

摘要： 本书的主要内容有两部分:一是介绍了采用不同开关器件,不同直流电源电压的环保节能式2H桥、3H桥的各种级联叠加方式,以及最多电平数的级联叠加方式;二是介绍了我们最新针对环保节能而研发的,可以节省大量开关器件,消谐波能力强、性能优越的独立SPWM直流电源级联叠加方式、电容分压SPWM直流级联叠加方式,以及它们的N×N双级联叠加方式。本书的特点是内容新,技术新,加入了数学分析。

关键词： 数学分析   习题   教学  

摘要： 数学分析习题教学作为数学分析课程教学的重要组成部分,已成为数学分析教学研究与改革的重要内容。我们通过数学分析教学中一些经验与体会,对数学分析习题课的教学与改革进行了探讨与反思。

关键词： Frank Lloyd Wright   Hollyhock House   Isovist analysis   Space syntax   Prospect-refuge theory  

摘要： One of the most widely accepted theories about Frank Lloyd Wright's domestic architecture is that he employed a recurring pattern of spatial and visual relations in his planning, to control the experience of movement through his houses. Known as the 'Wright Space', this theory has recently begun to be tested using computational and mathematical means, providing the first quantitative assessment of its validity. To date, the results suggest that a spatio-visual pattern akin to that formulated in the Wright Space can be found in some of Wright's Prairie Style and Textile-block designs, but several of his most famous works remain untested. In this paper Wright's Hollyhock House, an important intermediate work in his oeuvre, is examined to test two hypotheses. First, the paper seeks to determine whether passage through the house conforms to the spatio-visual pattern identified in the Wright Space. Second, the paper examines the claim that the experience of the Hollyhock House is more similar to that of Wright's later Textile-block architecture, than it is to his earlier Prairie style works. The paper uses a computational method, isovist analysis, to test the hypotheses.

关键词： Non-Markovian   Fixed point theory   Deterministic models   Time invariant   Non-locality  

摘要： Economic agents remember the stories of changes of exogenous and endogenous variables leading researchers to employ fractional operators which inherently possess non-locality, Markovian and/or non-Markovian properties and short and long term memory effects. This research analysis revolves around the comparative study of an autonomous dynamical financial system using classical approach of differentiation and also contemporary tools from fractional calculus known as Caputo (alpha), Caputo-Fabrizio-Caputo (beta) and the Atangana-Baleanu-Caputo (gamma) operators. Firstly, the standard financial model is fractionalyzed taking different fractional-order parameter for each autonomous equation in all three models and obtained the new financial models with three operators under consideration. Fixed point theory shows that the fractional-order models have unique solution in the Banach space. Numerical simulations of the fractional order models apparently depict the varying interesting phenomena such as periodicity, fixed points and chaotic routes in two and three dimensional illustrations not obtainable via standard differentiation. In particular, the financial model with Atangana-Baleanu-Caputo operator represents comparatively fewer number of fluctuations over both small and large time scales and thus is said to possess better stability characteristics. (C) 2019 Elsevier Ltd. All rights reserved.

关键词： Oil/water emulsion   In vitro digestion   pH-stat method   Particle size distribution   Gallagher-Corrigan model   Lipid digestion  

摘要： Free fatty acid (FFA) release from the in vitro digestion of an emulsion-filled gel using three different particle size distributions and its modeling using the Weibull function and Gallagher-Corrigan model were investigated. To produce the emulsion-filled gel, an oil/water mix was prepared and blended with sodium alginate to finally produce small calcium alginate gel cubes. Three different particle size area distributions were generated by comminuting the cubes applying 5, 10, and 15 cycles of compression/shearing. The particles were intestinally in vitro digested, and the fraction of FFA released was calculated and analyzed using the Weibull function and Gallagher-Corrigan model. The FFA release showed a sigmoidal behavior for the three particle distributions;the Weibull function did not show a good fit. The Gallagher-Corrigan model presented a good fit to the FFA data, reinforced with a random error distribution. The model parameters were able to explain the kinetic processes related to both surface emulsion release and emulsion release by matrix dissolution. In addition, some parameters were linearly correlated (R-2 > 0.99) with particle size, which established a relationship between particle size and the kinetics of release attained during the first stage of the digestion curve. (C) 2019 Published by Elsevier B.V. on behalf of Institution of Chemical Engineers.