Simulation of the nonlinear vibration of a string using the Cellular Automata based on the reflection rule

In this study, the nonlinear dynamic responses of a string are simulated using the Cellular Automata method based on the reflection rule. In the case of nonlinear systems, the velocity of wave propagation is not constant and depends on the amplitude. A new treatment of the dynamic time step is proposed for the Cellular Automata method considering the effect of the propagation velocity. As numerical examples, first, the dynamic responses of a string with linear characteristic are simulated using the Cellular Automata method. A typical resonance curve can be obtained. Second, the dynamic responses of a string with nonlinear characteristic are simulated using the proposed method. Some characteristic types of vibration can be obtained. It is concluded that the linear and nonlinear dynamic responses of a string may be obtained by simulation using the Cellular Automata method.     

高职高专体育教育与健康教育探析

健康教育是现代和未来教育发展的需要,高职高专体育教育必须贯彻落实＂健康第一＂的指导思想,将体育教育和健康教育有效结合起来,从而促进学生身心的全面发展。     

f(R) theories of gravity in the Palatini approach matched with observations

We investigate the viability of f(R) theories in the framework of the Palatini approach as solutions to the problem of the observed accelerated expansion of the universe. Two physically motivated popular choices for f(R) are considered,: power law, f(R) = β R ⁿ , and logarithmic, f(R) = α ln R. Under the Palatini approach, both Lagrangians give rise to cosmological models comprising only standard matter and undergoing a present phase of accelerated expansion. We use the Hubble diagram of type Ia Supernovae and the data on the gas mass fraction in relaxed galaxy clusters to see whether these models are able to reproduce what is observed and to constrain their parameters. It turns out that they are indeed able to fit the data with values of the Hubble constant and of the matter density parameter in agreement with some model independent estimates, but the today deceleration parameter is higher than what is measured in the concordance ΛCDM model.     

高职思想品德课案例教学效果的显现化

高职思想品德课的现代案例教学的效果显现化,可以帮助和指导学生思想品德的发展。对思想品德课效果显现化的内容应包括认知目标、情感目标、心因目标,其显现化的手段已不能用简单、传统的“考试”来测评,而应考虑用一些更综合的方式进行。     

高等代数与解析几何课程合并教学的优化问题

对高等师范数学专业高等代数与解析几何两门课程合并教学的优化问题进行论述。通过分析两门课程内容的前后联系，提出了四点解决课时少内容多的矛盾及优化教学的建议。     

《高等数学》学习方法探讨

从高等数学的知识体系及其学习的特点与基本要求入手,论述了学习高等数学的基本方法,即阐述了如何接收信息、如何消化材料和所学知识如何运用等问题。     

Elliptic systems with nonlinearity q greater or equal than two with controlled growth. Global Hölder continuity of solutions to the Dirichlet problem

Hölder regularity up to the boundary of the solutions to the Dirichlet problem for second order elliptic systems with nonlinearity q>2 and with controlled growth is proved when n?q+2.     

线束中四直线交比定义的讨论

对梅向明等编《高等几何》关于线束中四直线交比的内容作重新编排，既保证其内容的完整性，又弥补原书理论上的不足．     

举办《应用数学学校》和参加数学应用数学建模竞赛的实践和思考

通过开展应用数学教学活动和开办《应用数学学校》的多年实践 ,我校学生结合实际学习和应用数学知识的意识和能力不断提高 ,在上海市数学知识应用竞赛和美国大学生数学建模竞赛中连续取得好成绩 ,为了争取把这项工作做得更好 ,我们作了进一步思考和打算     

形成珠三角高职特色促进本区域经济发展

在分析珠三角高职教育发展现状和存在问题的基础上,通过大量实例提出建设珠三角高职特色、促进区域经济可持续发展的具体措施,旨在为我国高等职业教育的进一步发展提供一些有益的素材和借鉴.