This thesis is focused on optical character recognition and its processing. The goal of this application is to make it possible easily track daily expenses. It can be used by an individual or by a company as a monitoring tool. The main principle is to make this tool most as user friendly as it can be. The application gets its input from hardware, such as a scanner or camera, and analyzes the content of the cash voucher for further processing. To analyze the voucher, the application employs different optical character recognition methods. The result is subsequently parsed. Detailed explanations of used methods are inside the document. The application output is a filled database with cash voucher details. Another part of the work is an information system with the main purpose of displaying the collected data.

В рамках работы были исследованы методы построения систем планирования и управления предприятием класса ERP-систем. Цель работы – разработка программного инструмента в «1С: ERP Управление предприятием 2», позволяющего вести учет всех заказов, предстоящих и уже выполняющихся на предприятии. В ходе исследования был разработан рабочий прототип учета и планирования производства заказов на предприятии по производству литий-ионных аккумуляторов с использованием ERP-системы «1С-Предприятие». / Within the framework of this work, a study was made of the existing types of scheduler and enterprise resources planning system methods. An analysis of the existing question-answer systems was carried out. The goal of work id development software tool for schedule and resources planning for order control and management of laity-ions buttery base on ERP-system “1C: ERP Enterprise”. In the course of the study, a working prototype of schedule and resources planning for order control and management base on ERP-system “1C: ERP Enterprise” was developed.

В рамках данной работы было проведено исследование существующих типов вопросно-ответных систем и методов анализа текста. Был проведен анализ существующих вопросно-ответных систем. Приведена обобщённая схема работы вопросно-ответных систем и для каждого типа систем приведена детальная схема работы. Описаны и исследованы методы выбора кандидатов ответа и методы их оценки. Также в работе описаны возможные критерии оценки работы таких систем. В ходе исследования был разработан рабочий прототип вопросно-ответной системы, основанный на системе BERT для русского языка. Используемая модель RuBERT была предобучена и протестирована на стандартных задачах SQuAD. В ходе работы модель была протестирована и оценена в разработанном рабочем прототипе и показала высокие результаты по предложенным критериям оценки. / Within the framework of this work, a study was made of the existing types of question-answer systems and text analysis methods. An analysis of the existing question-answer systems was carried out. A generalized scheme of operation of question-answer systems is given, and a detailed scheme of operation is given for each type of system. Methods for selecting response candidates and methods for their evaluation are described and investigated. The paper also describes possible criteria for evaluating the operation of such systems. In the course of the study, a working prototype of a question-answer system based on the BERT system for the Russian language was developed. The RuBERT model used was pre-trained and tested on standard SQuAD problems. During the work, the model was tested and evaluated in the developed working prototype and showed high results according to the proposed evaluation criteria.

The master’s thesis is aimed at the expedience evaluation of use of a reverse leasing of investment financed by a long credit. First of all the fundamentals of a leasing, a long credit and the present state of the Czech leasing market are reviewed. The target of the effort is the comparison of several reverse leasing’s options as a source of financing.

Cette thèse vise à étudier certains modèles biologiques dans le réseau neuronal et dans la chimiotaxie avec la méthode d’analyse spectrale. Afin de traiter les principaux problèmes, tels que l’existence et l’unicité des solutions et des états stationnaires ainsi que les comportements asymptotiques, le modèle linéaire ou linéarisé associé est considéré par l’aspect du spectre et des semi-groupes dans les espaces appropriés, puis la stabilité de modèle non linéaire suit. Plus précisément, nous commençons par une équation de courses-et-chutes linéaire dans la dimension d≥1 pour établir l’existence d’un état stationnaire unique, positif et normalisé et la stabilité exponentielle asymptotique dans l’espace L¹ pondéré basé sur la théorie de Kerin-Rutman avec quelques estimations du moment de la théorie cinétique. Ensuite, nous considérons le modèle du temps écoulé sous les hypothèses générales sur le taux de tir et nous prouvons l’unicité de l’état stationnaire et sa stabilité exponentielle non linéaire en cas sans ou avec délai au régime de connectivité faible de la théorie de l’analyse spectrale pour les semi-groupes. Enfin, nous étudions le modèle sous une hypothèse de régularité plus faible sur le taux de tir et l’existence de la solution ainsi que la même stabilité exponentielle sont généralement établies n’importe la prise en compte du délai ou non, au régime de connectivité faible ou forte. / This thesis is aimed to study some biological models in neuronal network and chemotaxis with the spectral analysis method. In order to deal with the main concerning problems, such as the existence and uniqueness of the solutions and steady states as well as the asymptotic behaviors, the associated linear or linearized model is considered from the aspect of spectrum and semigroups in appropriate spaces then the nonlinear stability follows. More precisely, we start with a linear runs-and-tumbles equation in dimension d≥1 to establish the existence of a unique positive and normalized steady state and the exponential asymptotic stability in weighted L¹ space based on the Krein-Rutman theory together with some moment estimates from kinetic theory. Then, we consider time elapsed model under general assumptions on the firing rate and prove the uniqueness of the steady state and its nonlinear exponential stability in case without or with delay in the weak connectivity regime from the spectral analysis theory for semigroups. Finally, we study the model under weaker regularity assumption on the firing rate and the existence of the solution as well as the same exponential stability are established generally no matter taking delay into account or not and no matter in weak or strong connectivity regime.