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Convex functions and their generalization
Krtek, Jiří ; Červinka, Michal (referee) ; Hladík, Milan (advisor)
In the present work we study properties and relations between convex functions and their generalizations. We commence with definition of convex functions and we get to differentiability and searching for extreme points through basic properties as continuity.We continue with quasiconvex, explicitly quasiconvex and pseudoconvex functions. Through their definitions and basic properties we get to relations between them and convex functions. We can find even theorems about composition of these generalizations here, which enable us easier to find, whether given composite function is (explicitly) quasiconvex or pseudoconvex. This work also contains a section dedicated to minimalization of these generalizations. There are mentioned some other generalizations of convexity at the conclusion of this work, which aren't analyzed so much.
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Simulation of Car Traffic
Gregor, Ivan ; Hladík, Milan (referee) ; Pudlák, Petr (advisor)
This bachelor's thesis describes the main components of the program that simulates the car traffic. It describes the representation of road system, agents, simulation in progress and its output. It also describes several results reached during the simulation of concrete traffic situations. Moreover, the comparison between this program and multiagent systems is included in the end of this thesis. The road system consists of roads and crossroads which are controlled by traffic lights. The user of this program can observe different agent's behaviour. The only condition is that the class that represents an agent implements a uniform interface. The term agent means the car and its driver together. It is autonomous object that moves inside the road system respecting given limits of the simulation. Consequently, behaviour of agents is limited by the simulation rules. Agents are possibly controlled by simulation in order to avoid collisions and not to break traffic rules. The output of the simulation is used to compare the successfulness of individual strategies of agents in terms of length of the drive or fuel usage.
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Fish stock of the Orlík Reservoir after first years of operation of Temelín Nuclear power plant
Kubečka, Jan ; Čech, Martin ; Říha, Milan ; Jůza, Tomáš ; Frouzová, Jaroslava ; Draštík, Vladislav ; Hladík, Milan ; Kratochvíl, Michal ; Prchalová, Marie ; Tušer, Michal ; Vašek, Mojmír
The fish stock of the Orlik reservoir, Czech Republic was surveyed by shore seining and scientific echosounder (Simrad EY 500). Reservoir was dominated by cyprinids (roach, bream) with considerable share of predatory fish and perch. Inshore biomass an abundance was 302 kg/ha and 3920 inds/ha respectively. Populations show sustainable recruitment without variation of year class strength. The open water biomass estimated by hydroacoustics was 145.5 kg/ha. Assuming hydrological conditions of light flood in June 2004 it was not possible to trace any changes of the fish stock of the reservoir connected with the operation of the Temelin nuclear power station.
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Fish diversity and spatial distribution of YOY fish in Vlatava cascade reservoirs
Draštík, Vladislav ; Kubečka, Jan ; Jůza, Tomáš ; Jarolím, Oldřich ; Hladík, Milan ; Kratochvíl, Michal ; Prchalová, Marie ; Říha, Milan ; Tušer, Michal
Fish communities of YOY were studied in four cascade reservoir by beach fry-seining and fry trawling. Highest fish fry density was found in Slapy and Vrané reservoir. Lowest density was found in Kamýk and Štěchovice reservoir, two small reservoirs with shortest retention time, lowest oxygen concentration and temperature. Pelagic fish fry assemblages had much lower density than littoral assemblages and follow general fish longitudinal gradient. Littoral assemblages were more difficult to interpret due to more factors which can play important role in fish fry spatial distribution (such as bottom substrate and slope, complexity of shoreline, availability of water vegetation). Cyprinid species (bleak (.i.Alburnus alburnus./i.), roach (.i.Rutilus rutilus./i.), bream (.i.Abramis brama./i.)) prevailed in most reservoirs, only in Kamýk reservoir percid species (perch (.i.Perca fluvitilis./i.), ruffe (.i.Gymnocephalus cernua./i.)) prevailed.
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Giant traps for fishing in the inflow-zone of the Římov reservoir
Hladík, Milan ; Kubečka, Jan ; Pokorný, P. ; Čech, Martin ; Draštík, Vladislav ; Kratochvíl, Michal ; Peterka, Jiří ; Prchalová, Marie ; Vašek, Mojmír
The fish stock of the inflow-zone of the Římov Reservoir was studied by using two special constructed big traps. One trap was sampling the fish migrating from the reservoir to the Malse River, the other was sampling downstream migrants. The most intensive fish movement was recorded during spring spawning season. Proportionally to the fish stock of the reservoir, the tributary zone was used mainly by the bleak, .i.Alburnus alburnus./i., Asp, .i.Aspius aspius./i. and roach .i.Rutilus rutilus./i.. Smaller affinity to tributary spawning was found for the bream .i.Abramis brama./i. and perch, .i.Perca fluviatilis./i. (5 to 10 % of reservoir fish spawning in the tributary). Over 6000 kg of migrating fish were captured in the tributary area during spring periods of three years. Consequences of the application of tributary traps for fish exploitation and management are being discussed.
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