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Function of surge chamber
Březina, Michal ; Jandourek, Pavel (referee) ; Klas, Roman (advisor)
The thesis is focused on creation of the mathematical model for calculating the change of fluid volume and flow in surge tank and air chamber during the water hammer effect. The work also includes the derivation of the basic equations of hydrodynamics and the theory dealing with water hammer including the possibilities in protection of the pipeline system during this phenomenon.
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Application of Calculus of Variations
Bohata, Antonín ; Stará, Jana (advisor) ; Slavík, Antonín (referee)
Title: Application of Calculus of Variations Author: Anton'ın Bohata Department: Department of Mathematics Education Supervisor: doc. RNDr. Jana Star'a, CSc., Department of Mathematical Analysis Abstract: The thesis deals with the calculus of variation and its applica- tions. We recall the basic concepts from functional analysis that are needed to formulation of variational problems. Further, the simplest variational prob- lem is discussed. In particular, we present well-known Euler's equation which is a necessary condition of a local extremum of the given functional. The re- sults are then applied to solve various examples from geometry, physics, and economy. Some of these examples can be used to teach at secondary school. Keywords: Euler's equation, functionals, local extrema, calculus of variation
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Application of Calculus of Variations
Bohata, Antonín ; Stará, Jana (advisor) ; Slavík, Antonín (referee)
Title: Application of Calculus of Variations Author: Anton'ın Bohata Department: Department of Mathematics Education Supervisor: doc. RNDr. Jana Star'a, CSc., Department of Mathematical Analysis Abstract: The thesis deals with the calculus of variation and its applica- tions. We recall the basic concepts from functional analysis that are needed to formulation of variational problems. Further, the simplest variational prob- lem is discussed. In particular, we present well-known Euler's equation which is a necessary condition of a local extremum of the given functional. The re- sults are then applied to solve various examples from geometry, physics, and economy. Some of these examples can be used to teach at secondary school. Keywords: Euler's equation, functionals, local extrema, calculus of variation
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Function of surge chamber
Březina, Michal ; Jandourek, Pavel (referee) ; Klas, Roman (advisor)
The thesis is focused on creation of the mathematical model for calculating the change of fluid volume and flow in surge tank and air chamber during the water hammer effect. The work also includes the derivation of the basic equations of hydrodynamics and the theory dealing with water hammer including the possibilities in protection of the pipeline system during this phenomenon.
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RBC model - application to the Czech Republic
Báča, Petr ; Pánková, Václava (advisor) ; Chrobok, Viktor (referee)
The diploma thesis deals with the basic Real Business Cycle (RBC) model. RBC theory provides pure supply-side explanation of economic fluctuations. Generaly acknowledged contribution of RBC theory is the fact that the model is developed strictly on microeconomic basis. The thesis consists of two basic parts, theoretical and practical. First, historical background of RBC theory is mentioned. Then the basic RBC model is step-by-step derived and all equations are provided with explanations. In the last theoretical part section RBC theory critisism is discussed. In the practical part the derived basic model is applied to the Czech economy. First certain properties of the Czech business cycles are examined. Then, the basic model is calibrated, simulated and the results are commented.
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