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Number Theory and Discrete Mathematics [PDF]
This volume contains the proceedings of the International Conference on Number Theory and Discrete Mathematics in honour of Srinivasa Ramanujan, held at the Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India, in October 2000, as a contribution to the International Year of Mathematics.
Ashok Agarwal +5 more
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Number theory in secondary schools’ mathematics
Schools’ curricula are analyzed in terms of Number Theory. We deduce, that the concept of number is first and main in secondary schools’ Mathematics. The problems of divisibility of numbers are also discussed, the examples of such problems are given.
Eugenijus Stankus
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The mathematical theory of low Mach number flows [PDF]
In this paper one can find a very interesting approach to the mathematical theory of the passage from compressible to incompressible fluid flows as the Mach number tends to zero. Starting from a system of equations which allows to treat simultaneously the three most commonly studied models: the isentropic incompressible Euler equations, the non ...
Steven Schochet
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In defense of intuitive mathematical theories as the basis for natural number
AbstractThough there are holes in the theory of how children move through stages of numerical competence, the current approach offers the most promising avenue for characterizing changes in competence as children confront new mathematical concepts. Like the science of mathematics, children's discovery of number is rooted in intuitions about sets, and ...
David Barner
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Courseware have an important role in the achievement of the objectives of education. Nevertheless, it does not mean any learning resources can be used for a type of learning. The teacher should provide and develop materials appropriate to the characteristics and the social environment of its student.
Cita Dwi Rosita
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A relation between transfinite induction and mathematical induction in elementary number theory [PDF]
Kokio Shirai
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本研究建立了一个结合分形几何try 和数论的新型公理框架,揭示了数学工具与空间维度之间的动态关系。通过构建与维度相关的测度理论和分数阶微分方程,我们首次在实验系统中观察到了数学定律的维度敏感性。通过受控石墨烯褶皱实验和分形动力学模拟,验证了重整化微分算子与维度参数之间的定量关系,为基础数学研究提供了新的实证范式。
changzheng zhou, ZIQING zhou
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Two-Player Tower of Hanoi [PDF]
The Tower of Hanoi game is a classical puzzle in recreational mathematics (Lucas 1883) which also has a strong record in pure mathematics. In a borderland between these two areas we find the characterization of the minimal number of moves, which is $2^n ...
Chappelon, Jonathan +2 more
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Universal arrows to forgetful functors from categories of topological algebra [PDF]
We survey the present trends in theory of universal arrows to forgetful functors from various categories of topological algebra and functional analysis to categories of topology and topological algebra.
Pestov, Vladimir G.
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Mathematically gifted and talented learners: Theory and practice [PDF]
This is an Author's Accepted Manuscript of an article published in International Journal of Mathematical Education in Science and Technology, 40(2), 213-228, 2009, copyright Taylor & Francis, available online at: http://www.tandfonline.com/10.1080 ...
Aiken LR +32 more
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