Displaying similar documents to “History of mathematics in China: A factor in world history and a source for new questions.”

Experiments with iterative methods for linear systems using GeoGebra and TI-Nspire

Gregor Milicic, Simon Plangg (2019)

Annales Universitatis Paedagogicae Cracoviensis | Studia ad Didacticam Mathematicae Pertinentia

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Algorithms and algorithmic thinking are key topics in STEM Education. By using algorithms approximate solutions can be obtained for analytical unsolvable problems. Before new methods can be safely applied they have to be thoroughly tested in experiments. In this article we present a series of exercise where students can experiment with algorithms and test them using GeoGebra or the TI-Nspire. Based on the results of such experiments the students can compare algorithms, showing them a...

Ant Colony Optimisation: models and applications.

Oscar Cordón, Francisco Herrera, Thomas Stützle (2002)

Mathware and Soft Computing

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Ant Colony Optimization (ACO) is a metaheuristic that is inspired by the shortest path searching behavior of various ant species [1,2]. The initial work of Dorigo, Maniezzo and Colorni [3,4] who proposed the first ACO algorithm called Ant System, has stimulated a still strongly increasing number of researchers to develop more sophisticated and better performing ACO algorithms that are used to successfully solve a large number of hard combinatorial optimization problems such as the traveling...

Specifics of Geography Teacher Training at the Faculty of Natural Sciences Constantine the Philosopher University in Nitra

Magdaléna Nemčíková, Zuzana Rampašeková, Hilda Kramáreková, Alena Dubcová (2019)

Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

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The Slovak education is currently experiencing a turbulent period associated with ongoing efforts to reform the education system, under-funding of education with low teacher salaries, overworked and feminized teaching staff, low social status of a teacher in society, problems in the creation and distribution of current textbooks, insufficient interest in studying natural sciences, leaving of young people to study abroad, etc. This situation is also reflected in the training of future...

A review on the ant colony optimization metaheuristic: basis, models and new trends.

Oscar Cordón, Francisco Herrera, Thomas Stützle (2002)

Mathware and Soft Computing

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Ant Colony Optimization (ACO) is a recent metaheuristic method that is inspired by the behavior of real ant colonies. In this paper, we review the underlying ideas of this approach that lead from the biological inspiration to the ACO metaheuristic, which gives a set of rules of how to apply ACO algorithms to challenging combinatorial problems. We present some of the algorithms that were developed under this framework, give an overview of current applications, and analyze the relationship...

Experiments with variants of ant algorithms.

Thomas Stützle, Sebastian Linke (2002)

Mathware and Soft Computing

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A number of extensions of Ant System, the first ant colony optimization (ACO) algorithm, were proposed in the literature. These extensions typically achieve much improved computational results when compared to the original Ant System. However, many design choices of Ant System are left untouched including the fact that solutions are constructed, that real-numbers are used to simulate pheromone trails, and that explicit pheromone evaporation is used. In this article we experimentally...