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经济数学教与学的意义
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作者 曾振新 《经济师》 2021年第2期187-188,190,共3页
经济发展,教育先行,教育的基本问题是教师教与学生学的问题,数学教育的基本问题也同样是教师怎样教与学生怎样学的问题。数学的教关注的是教师,即教学的源头,一个好的数学教师教学生思考、教学生思维,教学生做人。数学的学关注的是学生... 经济发展,教育先行,教育的基本问题是教师教与学生学的问题,数学教育的基本问题也同样是教师怎样教与学生怎样学的问题。数学的教关注的是教师,即教学的源头,一个好的数学教师教学生思考、教学生思维,教学生做人。数学的学关注的是学生,即教学的目的。一个善于学习的学生一定是一个善于思维的学生。数学家曾说,数学使我们看到了高明的思维是怎样进行的。而对于数学的教与学,客观上来说,数学教与学的过程就是一个数学教师和学生展示思维的过程。 展开更多
关键词 数学教师 数学的 数学的学 思维 意义
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Application of diffusive transport model for better insight into retardation mechanisms involved in ion-imprinted membrane transport
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作者 Ehsan Salehi 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2016年第9期1161-1165,共5页
Heavy metal removal from water is a great concern for environmentalists and engineers. Ion-imprinted membranes are among the state of the art technologies for selective adsorption of heavy metals from aqueous environm... Heavy metal removal from water is a great concern for environmentalists and engineers. Ion-imprinted membranes are among the state of the art technologies for selective adsorption of heavy metals from aqueous environment. Dialysis permeation of nickel ions through Ni(II)-imprinted membranes has been thermodynamically studied in our prior work. In current study, the diffusive transport model was developed and then applied for better insight into the retardation mechanisms involved in the ion-imprinted membrane transport. The Sips isotherm model was coupled with the transport model to obtain the governing equation. Chemisorption and physical interactions(bulk diffusion and pore-clogging) were the most probable retardation mechanisms according to the modeling results. Relative retardation factor(η) was also defined as; transport-rate controlled by chemical adsorption to that controlled by physical interactions. With the help of the retardation factor, it was understood that the membrane behavior gradually changes from chemisorption to facilitated transport during permeation time. Effect of important operating parameters such as time, temperature and concentration on transport behavior was also investigated. Results indicated that chemisorption rate is rather higher at lower concentrations, early permeation times and reduced temperatures. In addition, η tabulated greater values for Ni(II) compared to Co(II) due to the imprinting effect. 展开更多
关键词 Ion-imprinted membrane Mathematical modeling Chemisorption Retardation mechanism
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Wild radical square zero algebras
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作者 韩阳 《Science China Mathematics》 SCIE 2002年第1期29-32,共4页
It is shown that a radical square zero algebra is wild, if and only if it is of Corner's type, and it is strictly wild if and only if it is Endo-wild. This gives a negative answer to a problem posed by Simson.
关键词 wild algebra strictly wild algebra radical square zero algebra
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The centralizer of an element in a Lie algebra of type L
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作者 LU Caihui SHAO Wenwu 《Science China Mathematics》 SCIE 2004年第6期854-861,共8页
In this paper, we investigate the Lie algebra L(A,α,δ) of type L and obtain the respective sufficient conditions for L(A,α,δ δ to be semisimple, and for Z(ω) = Fω as well, where 0 ≠ ω ? L(A, α, δ, δ) and Z... In this paper, we investigate the Lie algebra L(A,α,δ) of type L and obtain the respective sufficient conditions for L(A,α,δ δ to be semisimple, and for Z(ω) = Fω as well, where 0 ≠ ω ? L(A, α, δ, δ) and Z(ω) is the centralizer of ω. 展开更多
关键词 Lie algebra of type L semisimple Lie algebra CENTRALIZER total ordering
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Network and equation-based models in epidemiology
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作者 Kossi Edoh Elijah MacCarthy 《International Journal of Biomathematics》 SCIE 2018年第3期307-322,共16页
Network and equation-based (EB) models are two prominent methods used in the study of epidemics. While EB models use a global approach to model aggregate population, net- work models focus on the behavior of individ... Network and equation-based (EB) models are two prominent methods used in the study of epidemics. While EB models use a global approach to model aggregate population, net- work models focus on the behavior of individuals in the population. The two approaches have been used in several areas of research, including finance, computer science, social science and epidemiology. In this study, epidemiology is used to contrast EB models with network models. The methods are based on the assumptions and properties of compartmental models. In EB models we solve a system of ordinary differential equations and in network models we simulate the spread of epidemics on contact networks using bond percolation. We examine the impact of network structures on the spread of infection by considering various networks, including Poisson, Erd3s R6nyi, Scale-free, and Watts- Strogatz small-world networks, and discuss how control measures can make use of the network structures. In addition, we simulate EB assumptions on Watts-Strogatz net- works to determine when the results are similar to that of EB models. As a case study, we use data from the 1918 Spanish flu pandemic and that from measles outbreak to validate our results. 展开更多
关键词 Bond percolation contact network EPIDEMIOLOGY
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