Applied mathematics

The Z transformation has many applications in Mathematics, especially in solving difference equations to help handle discrete data models. This article provides one more application of the Z transformation, which is the summation of a series.

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The purpose of the study is to quantify breast dose to reassure patients and staff that these understandings still apply. A combination of measurements and simulations were used to estimate absorbed breast dose. Gafchromic® XR-QA2 film was used to measure breast dose placed inside the RANDO® phantom in a series of controlled experiments. The RANDO® is an anthropomorphic phantom commonly used for dosimetry investigations. Gafchromic® XR QA2 film is a radiochromic film that changes colour when irradiated. Simulation is commonly used and readily available.

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In the dissertation, we consider the problem of finding the shortest path between two points along a sequence of adjacent triangles in a general setting. The sequence of triangles is replaced by a sequence of ordered line segments. The 3D space is replaced by a Euclidean space.

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Research Aims: The thesis aims to develop deep neural networks for analyzing security data. These techniques improve the accuracy of machine learning-based models applied in NAD. Therefore, the thesis attempts to address the above challenging problems in NAD using models and techniques in deep neural networks. Specifically, the following problems are studied.

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Purpose of the research: On the basis of identifying necessary metacognitive skills, the role and significance of those metacognitive skills for students of Primary Education, the thesis gives out the procedure and proposes an model of organizing activities, designs specific activities applied in the subjects of mathematics teaching methods to train metacognitive skills for students of Primary Education.

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The research objective: To study the methods used to modeling constraints and improve constraint solving capability. To apply symbolic execution technique in automatic test case generating. To implement proposed methods in automatic test case generating on string constraints and mixed constraints. To analyze and evaluate the obtained results.

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Objectives: The aim of the thesis is to develop Mickens’ methodology to construct NSFD methods for solving some important classes of differential equations arising in fields of science and technology.

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The objectives of the thesis: The thesis focus on the concept of martingale difference for a sequence set-valued random variables (which will then be called a weak set-valued martingale difference), showing some practical examples related to the weak set-valued martingale difference and proving its mathematical properties.

27p extraenglish 24-05-2021 31 4   Download

Aims and objectives of the research: The thesis aims to find out the functions of practical situations, design practical situations, apply designed practical situations to organize cognitive activities for students in the process of teaching mathematics at high school, contribute to improving the quality of mathematics teaching at high schools towards student’s competence development.

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Research objectives: Applying theoretical views to develop competence, meaning and value of ICT application in Education and Training to propose solutions to develop Math teaching competence for Math pedagogical students with the support of ICT.

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Purposes of the study: Introduce and clarify the concept "the competency of exploring and obtaining knowledge" through elemental competencies and compatible activities in teaching maths for high school students; Find out the reality and need of improving the competency of exploring and obtaining knowledge in teaching maths for high schools students majoring in physics, chemistry and biology; Build and test the feasibility of pedagogy method applied in teaching maths at high school classes majoring in physics, chemistry, and biology to foster this capacity for students.

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Although the research direction on NSFD schemes for differential equations have achieved a lot ofresults shown by both quantity and quality of existing research works, real-world situations have always posednew complex problems in both qualitative study and numerical simulation aspects. On the other hand, there aremany differential models that have been established completely in the qualitative aspect but their correspondingdynamically consistent discrete models have not yet been proposed and studied

26p capheviahe29 17-03-2021 28 4   Download

The dissertation used the following research methods: Theoretical research method, methods of survey questionnaire and observation, practical research method, expert consultaion method and experimental method in pedagogy.

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Thesis objectives and tasks: Establishing a mathematical model, putting forward an algorithm applied for seeking the solar system's irradiance equalization configuration under the heterogeneous lighting conditions; establishing a mathematical model, putting forward an algorithm applied for choosing an optimal circuit switching method, from the initial connection configuration to the irradiance equalization configuration.

26p capheviahe27 23-02-2021 26 4   Download

This thesis aims to research on overview of automatic test case generating, symbolic execution applied into automatic test case generating. The modeling techniques based on Automata and Bitvector are also studied in this thesis. Apart from that, the analysis and evaluation of available test case generating methods on different constraint are mentioned. The quality and effectiveness of test cases generated by using symbolic execution are assessed.

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The thesis researches and builds an entity search technique based on implicit semantic relations using clustering methods to improve search efficiency. Apply context-aware techniques, build an vertical search engine that applies context-aware in its own knowledge base domain (aviation data). Propose to measure combinatorial similarity in the contextual query suggestion problem to improve the quality of suggestion.

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The objective of the thesis is to develop the iterative method and combining it with other methods to study qualitative and especially the method of solving some two-point boundary problems for the fourth-order differential equations and systems, arising in beam bending theory without using condition of growth rate at infinity, Nagumo condition, etc. of the right-hand side function.

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The purpose of the dissertation is to research on the development of new and quality solutions using graph theory and automata, suggesting their applications in, and applying them to steganography and searchable encryption.

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The thesis proposes a simple but very effective method to study the unique solvability and an iterative method for solving five boundary value problems for nonlinear fourth order ordinary differential equations with different types of boundary conditions and two boundary value problems for a biharmonic equation and a biharmonic equation of Kirchhoff type by using the reduction of these problems to the operator equations for the function to be sought or an intermediate function.

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Study on hydraulic stability and structural integrity of RAKUNA-IV armour units when randomly placed on the seaward slope of a rubble mound breakwater by means of experiments on physical models in a wave flume and simulations in mathematical models. The results of the research were later applied to a specific breakwater. Recommendations and solutions were thereby put forward for the design, production and construction of RAKUNA-IV armour units when applied to rubble mound breakwaters in reality.

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