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Implementation of a Language Interpreter for Mathematical Calculations
Kobelka, Martin ; Šátek, Václav (referee) ; Veigend, Petr (advisor)
The main goal of this bachelor thesis is to design and implement the new programing language, which can be used for mathematical computations, implement the demonstration interpret of this language and design a graphical user interface for it. The user interface makes it easy to write the calculation, enables effective and clear visualization of calculation results and basic debugging of calculation. The properties of the resulting language are described in the thesis with the several experiments with the interpret, which implements a~subset of the language. Differences between designed solution and other platforms are also described in the thesis.
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Timetable Planning Support Software
Tesařová, Alena ; Veigend, Petr (referee) ; Dytrych, Jaroslav (advisor)
This thesis deals with the design and implementation of a schedule planning software for lectures and exams at FIT VUT. The final result will provide support for input data preparation, completing teacher's requirements and allowing the planning and subsequent data export in formats suitable for importing into the FIT information system and into the previously used application. The theoretical part deals with general issues of schedule planning and specifics of planning at FIT. The implementation part contains the system design and application implementation description. The result of the work is a software that is currently used to support timetable scheduling at FIT VUT.
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Timetable Planning Software
Vosáhlo, Daniel ; Veigend, Petr (referee) ; Dytrych, Jaroslav (advisor)
This master's thesis describes the design and implementation of a multi-user web application for scheduling timetables and exams at the Faculty of Information Technology of the Brno University of Technology. This application will provide the user with supporting tools for the manual placement of the timetable windows. Thanks to the algorithm for pre calculating the longest collisions, this application can detect collisions in real time and display information about the number of lectures or exams for students in one day. It will also automatically check the teacher's requirements for the course timetable and automatically allocate exams to rooms. Registered users can create their own timetables and if they think that their version is better than the official one, they can propose it to the administrator directly in the application. Thanks to the history recording mechanism for timetable windows, users will be able to quickly and efficiently return unwanted changes back. In this thesis I will also describe the procedures and problems which occurs in the planning process and all the criteria that the schedule must meet.
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SSI Dividing Numerical Integrator
Suntcov, Roman ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
The thesis deals with numerical integration and hardware division operations. The reader is familiar with the numerical solution of differential equations through several different methods, for example Taylor's series. Furthermore, it is discussed the operation of division in the hardware and the method of its implementation in the FPGA. Subsequently, a parallel-parallel and serial-parallel integrator is designed. The practical aim of the thesis is to design and implement a serial-serial dividing integrator and create a simulator for it.
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Hardware Realization of Higher Order Numerical Integrator
Matečný, František ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This work describes numerical integration and solution for ordinary differential equations by the Taylor series by different types of integrators. The next part is a description of floating point and fixed point arithmetic. Subsequently, we are presenting designs and calculation methods for parallels multiplication and division integrators in floating point and fixed point arithmetic. The designs were realized in VHDL and implemented on FPGA. Finally we summarizes the proposed solution and compare time complexity with another numerical methods.
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Multiple Integrals
Valešová, Nikola ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
The problem of definite integral and differential equation computation is still a significant part of many scientific branches and the solution of integral calculus tasks can be found in many industrial fields too. During the computation of such tasks, the accuracy and high-speed requirements are often confronted. These requirements are crucial during the process of the suitable method choice. The aim of this thesis is to propose, describe, implement and test a new numerical method, which combines the solution of definite integrals by transforming them into differential equations solved by the Taylor series with the traditional methods, which use the Newton-Cotes formulas. As a result, a new application has been developed, that provides fast results of definite two-dimensional integrals and reaches at least the precision of MATLAB. The major accomplishment of this thesis is the development of a new numerical method and its comparison to other established ways of computation.
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Numerical Integrators in Control Theory
Novák, Adam ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This bachelor thesis deal with the topic of partial differential equations of parallel solutions from focus on control of dynamic systems working with real-time built-in control model. First, it is focused on real-time systems. The next section deals with the analysis of differential equations and types of differential equations. Consequently, numerical integration and derivation are discussed. The thesis deals with individual numerical methods, which are used to calculate a differential equations. This thesis also deals with individual fluids that can influence the calculation of differencial equations in the Modern Taylor method. The result is a competitive application that allows a quick and accurate solution of real-time management model and the subsequent calculation of the differential equations generated using the Modern Taylor Series Method.
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Multiple Integral Effective Computations
Iša, Radek ; Veigend, Petr (referee) ; Šátek, Václav (advisor)
This thesis deals with the design system for multiple integrals for diferential expression with space variables. Today, integration is one of engineering problems. Reader is acquainted with different method of integration, then with numerican integration and Taylor series. The practical aim of this work is to design software and hardware system of numerican integration multiple integrals.
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Finite Integrals Semi-Analytical Computations
Veigend, Petr ; Kunovský, Jiří (referee) ; Šátek, Václav (advisor)
This bachelor thesis explains the topic of semi-analytical computation of finite integrals. It contains the mathematical definition of finite integral, along with definitions and examples for several methods that can be used to solve finite integrals analytically. For the most part however, the thesis is trying to explain how to effectively and precisely approximate finite integrals on a computer. It deals with approximations by polynomials, but mostly with the correspondence between finite integrals and differential equations. This correspondence is used in two software projects that are the part of this thesis.
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