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Content available remote Selecting representatives
EN
We use representatives to reduce complexity in many areas of life. Clusters are often replaced with their centre, and then these representatives are used to classify new objects. If the objects are described as a vector of real numbers, then the centre can be easily calculated. However, this method is unusable if only a similarity relation is given instead of coordinates of the object or the distances between the objects. Google can filter and rank relevant pages for a particular question; and here we follow a similar approach. The difference is that we have an undirected graph while the PageRank algorithm uses a directed one. In this article we show what conditions we set for our own ranking system. Following the description of the details of this method we demonstrate that it satisfies our criteria and how it selects the (mathematically proven) most typical elements of each cluster. Finally, we apply this method on several partitions of the natural numbers and on non-transitive tolerance relations to present the representatives of the numbers.
PL
W artykule przedstawiono autorski system motywacyjny zastosowany na przedmiocie Metrologia prowadzonym na II semestrze studiów I stopnia. System oparty jest na opracowanej własnej aplikacji internetowej pokazującej aktualną pozycję studenta na liście rankingowej. Opisano składniki i kryteria zdobywania punktów na zajęciach laboratoryjnych i na wykładzie. Zaprezentowano efekty działania systemu oraz podkreślono konieczność dalszego modyfikowania wprowadzonych działań oraz ulepszania samej aplikacji.
EN
In this paper the original system for motivating of students at metrology course is presented. This course is the part of teaching program of electrical engineering studies at 1st level on 2nd semester. The system is based on the web application that has been elaborated by the second author of this paper. It enables to watch the actual ranking position of every student together with all detailed results. During the weeks of teaching the list is modified because of adding the scores from quizzes, reports, activities and e-learning course. All these components and parameters of their evaluations are mentioned. This system has been applied in a summer semester 2016/2017 at Faculty of Electrical Engineering at Bialystok University of Technology. The effects of introduction and operation of this system are described in the forms of graphs and comments. Some ideas of improvement of this tool are proposed in the form of conclusions.
PL
Przedstawiono koncepcję rankingu i podstawowe wskaźniki jakości systemów rankingowych. Omówiono architekturę systemu TETRA i jego charakterystyki techniczne, a także wyniki badań jakości transmisji.
EN
Idea of trunked radio system and its basic performance measures are presented. The architecture of TETRA system and its technical characteristics as well as simulation results of transmission performance are discussed.
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