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EN
Post-industrial sites form a unique phenomenon in the landscape. They enable us to study the human-altered succession of communities. Regarding this, we studied an ant community in three types of habitats – reclamation and spontaneous succession in an ore basin together with unaltered surroundings in the Czech Republic. More than 30 years after being abandoned, the site with spontaneous succession was more species rich than the reclaimed one. Moreover, spontaneous succession created a habitat that was more similar regarding ant diversity to the unaltered surrounding environment than that after traditional reclamation. Ants dependent on tree vegetation were rather rare in both the reclaimed and spontaneous succession parts of the ore basin compared to the surrounding landscape. The relative abundance of socially parasitic ants increases in a gradient from the reclaimed basin, through the basin with spontaneous succession to the unaltered surroundings. Our study highlighted the fact that the formation of ant communities at post-industrial sites is clearly more complicated than for other arthropods, including related aculeate hymenopterans. The potential of both reclaimed and spontaneous succession basins for harbouring endangered species appeared to be lower for ants than for other taxa indicated by recent studies.
EN
A composition of snail fauna in a functional coal-ash settling basin has been compared to that of a partly reclaimed coal-ash settling basin which had been abandoned for 26 years, using a nature reserve as a control. A total of 24 molluscan species were found at the control site, 21 species in the internal area of the abandoned settling basin and six species in the internal area of the functional settling basin. Numerous and relatively diverse malacofauna have become established on the abandoned coal ash settling basin, consisting mainly of high populations of a low number of widespread species.
EN
In the last 20 years several efficient methods for automatic theorem proving in elementary geometry have been developed. First we will introduce some standard notions from automatic proving theorems. Then we will present the methods on the example of the Simson theorem and its generalization. The demonstration is accompanied by the use of dynamie geometry system Cabri II.
PL
W ostatnich 20 latach rozwinięto kilka skutecznych metod automatycznego dowodzenia twierdzeń geometrii elementarnej. Najpierw przedstawiono pewne standardowe nazwy dla automatycznie dowodzonych twierdzeń. Następnie przedstawiono metody oparte na twierdzeniu Simsona i jego uogólnieniach. Do prezentacji wykorzystano dynamiczny system geometryczny Cabri.
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