- 211. Mathcad
Изучение методов обработки информации при помощи Mathcad, возможных алгоритмов написания программ и способов отображения информации. Построение графиков функций. Расчет количества информации при кодировании равномерным и неравномерным двоичным кодом.
Семь особенностей Mathcad. Основные нововведения Mathcad Prime. Линованная тетрадка по математике, новая технология работы с матрицами, обозначения переменных и функций. Различные размерности в массивах. Excel-компонент, символьная математика и пр.
- 213. Mathematical and statistical measures in the mechanism of enterprises adaptation to the changes
Application of mathematical and statistical means for adaptation of the enterprise to changes. Theoretical and methodological substantiation of mathematical and statistical methods, models and tools of this process. Evaluation of its effectiveness.
The mathematical principles of the operation of cryptocurrencies. Mathematical formulas for calculating the public key from the private key. Properties of elliptic curves and the principle of their application during the creation of cryptocurrency.
- 215. Mathematical Biology
Insect outbreak model: spruce budworm. Harvesting a single natural population. population model with age distribution. Ecological implications andcaveats. Discrete growth models for interacting populations. Multiple steady states, mushrooms and isolas.
Features a combination of different approaches to work with sets of objects, their classes to the design and development of artificial intelligence systems to analyze information using object-oriented programming. Determining properties of object class.
The use of mathematical methods in economic analysis is the most important direction for improving management systems. Mathematical methods speed up economic analysis, increase the accuracy of calculations and take into account the impact on productivity.
The method and algorithm for realization of arithmetic operations in the system of remainder classes. The principal advantage of the suggested method. The algorithms for realization of arithmetic operations of summation, deduction and multiplication.
Characteristics of mathematical model of dynamic processes that occur in frictional hardening of flat surfaces of machine parts with use of the tool with the cut transverse grooves on its working parts. Cyclic circuit of the machine’s oscillations.
Software technology transfer fuzzy information through a quantum communication channel with quantum teleportation. Description of membership functions of quantum information, the fuzzy variables and the tensor of the multiplication of unitary operators.
Consideration of mathematical modeling of the immune system in the process of disease with the immunodeficiency virus without treatment. Investigation of the dynamics of infection. Evaluation of the rate of reproduction of the virus in the blood.
Determination of a fire area during the time of its unobstructed development, the amount of the devices for the fire extinguishing agent supply. Consideration features of its mathematical model of the optimization in the woodworking enterprises workshops.
The production of biogas from algae. The Optimization the synthesis process of biogas using the results of the mathematical models of stimulation of this process. The scheme of the reactor for processing suspension of cyanobacteria with ultrasound.
The study of methods of improving the automated systems of railway transport. Turnouts as one of the most important and crucial components. Monitoring and management of objects of railway automatics in real time using the automated process of diagnosis.
Mathematical model of dynamics of tensions of respiratory gases taking into account hypometaboliс, that develops in the organism of man on a highland. Character of changes of the modes of functioning of organism at transients and in steady-states.
Research of mathematical model of the process intrusion forming polymer products. Establishing a dependency on the angle of melt costs lifting screw injection unit in the material cylinder based on the geometric parameters of extrusion head and mold.
The impact of globalization and the expansion of international trade in the LDCs. The definitions of the mechanism by which these factors lead to a weakening of LDC institutions with a low level of technology, which can not absorb the advanced technology.
The mathematical model of free market of three goods in the conditions of supply lag in the interval of discrete time with market parameters, demand vector and initial conditions is considered. The dynamics of allowable profit of the seller is obtained.
Consideration the mathematical model of process of pressing of seamless pipes. Effect on various forms of rolling shaping matrix. The nature of the formation of the deformation zone. Development of direct compression on a cylindrical mandrel pipe.
Mathematical model of transformation of stochastic and fuzzy information in quantum information in the form of multiplication of unitary operators from not commutative von Neumann group. Theoretical basis of information technologies of quantum-logic.
Dynamic Modeling with Difference Equations. Linear Models of Structured Populations. Nonlinear Models of Interactions. Modeling Molecular Evolution. Constructing Phylogenetic Trees. Infectious Disease Modeling. Curve Fitting and Biological Modeling.
Theory of condensation growth of aerosol particles under saturation conditions. Mathematical description of heat and mass transfer processes. The structure of mathematical models and the algorithm of pollution dynamics modeling in "clean rooms".
Characteristics of laminar and turbulent fluid flows. Analysis of the relationship between the Reynolds number and turbulence. Solution of the Navier-Stokes hydrodynamic equations. Investigation of the structure and inhomogeneities of a cellular flame.
Consideration of the process of evolution and prospects of mathematical methods and models in economic research. Characterization of advantages and identification of disadvantages of mathematical formalization in the conditions of a new economic paradigm.
Сonsidered and characteristic the process of evolution and prospects of mathematical methods and models in economic research. The prospects of the synergetic direction as a basic direction in modern economic and mathematical modeling are revealed.
The interdisciplinary marriage of Mathematics with Theology offers a insight into both inconceivable numerical truths (such as infinity) that God’s personal relation helps us realise and unknown nature that is depicted schematically within His creation.
MatLab (Matrix Labotary) и ее роль в обработке массивов данных (матриц и векторов). Понятие Simulink как пакета моделирования динамических систем. Дополнительные пакеты прикладных программ и характеристика проблем проектирования энергетических систем.
Пример численного решения задачи в системе MatLab. Методы решения систем дифференциальных уравнений. Одношаговые явные методы Рунге-Кутта 4-го и 5-го порядка. Движение заряженной частицы. Закон Кулона. Траектория движения пули под действием силы тяжести.
Features of work a matrix-using frequency converter with an electric induction motor, comparing with a bridge frequency converter. Determining the exact position of the rotor. Benefits of matrix-using frequency converter during the work with correction.
- 240. Matrixes least squares method: examples of its application in macro-economics and TV-media business
Fundamentals of the method of least squares for the case of vector and matrix of observations. Advantages of MNCs to predict performance in the telemedia business. MNCs use algorithm for the matrix of observations with the ability to scale the data.