This paper studies regularities of proportional division, on the basis of which we show the possibility of effective application of the golden section method to modeling regularities of atomic systems and positioning of elements of noble gases of the periodic table. It is illustrated that by partial reconstruction of the Mendeleev tables, the elements of noble gases can be arranged along lines whose slope tangents in the coordinate system “the atomic number – the relative atomic mass” are in close agreement with the sequence of inverse Fibonacci numbers. It was shown that given the correct slope of axes, slope tangents of the corresponding lines does not change.
{"title":"MODELING OF ATOMIC SYSTEMS AND POSITIONING OF ELEMENTS OF NOBLE GASES OF THE PERIODIC TABLE BY PROPORTIONAL DIVISION METHOD","authors":"P. Kosoboutskyy, Mariana Karkulovska","doi":"10.23939/cds2021.01.011","DOIUrl":"https://doi.org/10.23939/cds2021.01.011","url":null,"abstract":"This paper studies regularities of proportional division, on the basis of which we show the possibility of effective application of the golden section method to modeling regularities of atomic systems and positioning of elements of noble gases of the periodic table. It is illustrated that by partial reconstruction of the Mendeleev tables, the elements of noble gases can be arranged along lines whose slope tangents in the coordinate system “the atomic number – the relative atomic mass” are in close agreement with the sequence of inverse Fibonacci numbers. It was shown that given the correct slope of axes, slope tangents of the corresponding lines does not change.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"10 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120906516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The article deals with the problem of navigating indoors in conditions of satellite signal unavailability. In this case, alternative sources of positioning are used to determine the location of the objects. Use for navigation tasks inside the premises of the smartphone allows you to get comprehensive data on its operation. To solve the problem of navigation, the most important elements of the data sets is the unique identifier of the monitored device and the relative power level of the signal received from it. The data of the calculations and experiments show that the navigation measurements with the help of smartphones allow to qualitatively solve the problem of observation at given distances between sensors not exceeding 5-7 meters. The relative position of the sensors and the moving objects is important. At a distance of 5 m from the beacons and the object, the actual accuracy of the object coordinates is 1-2 m, which is sufficient for traditional navigation tasks in the middle of buildings.
{"title":"APPLYING SMARTPHONES FOR POSITIONING IN THE MIDDLE OF THE ROOM","authors":"O. Belej, K. Kolesnyk","doi":"10.23939/cds2020.01.011","DOIUrl":"https://doi.org/10.23939/cds2020.01.011","url":null,"abstract":"The article deals with the problem of navigating indoors in conditions of satellite signal unavailability. In this case, alternative sources of positioning are used to determine the location of the objects. Use for navigation tasks inside the premises of the smartphone allows you to get comprehensive data on its operation. To solve the problem of navigation, the most important elements of the data sets is the unique identifier of the monitored device and the relative power level of the signal received from it. The data of the calculations and experiments show that the navigation measurements with the help of smartphones allow to qualitatively solve the problem of observation at given distances between sensors not exceeding 5-7 meters. The relative position of the sensors and the moving objects is important. At a distance of 5 m from the beacons and the object, the actual accuracy of the object coordinates is 1-2 m, which is sufficient for traditional navigation tasks in the middle of buildings.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130439408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yaroslav Sokolovskyy, V. Yarkun, M. Levkovych, Dmytro Ratynchuk
A new mathematical model of the nonstationary process of heat and moisture transfer in the two-dimensional region is constructed on the basis of the use of Caputo and Grunwald- Letnikov derivatives. An implicit finite-difference scheme for approximation of a mathematical model of noisothermal moisture transfer taking into account the fractional integro-differential apparatus is developed. The given algorithm of numerical realization of model allows to receive values of function of temperature and humidity for all points of area of partition. The method of fractional steps is adapted for numerical realization of mathematical model. It allowed performing parallel calculations of two difference half-step taking into account the corresponding spatial coordinate. The implemented algorithm of parallel calculation of non- isothermal moisture transfer in materials of fractal structure makes it possible to obtain a reliable result without the need to conduct complex and expensive practical experiments. It is proposed to use the Model-View-Presenter design pattern for software development. The software a parallel algorithm using .Net threads and algorithmic features of the TPL library has developed. It has been tested on multi-core computer systems with CPUs of different capacities. The .NET Stopwatch class was used to measure the execution time of sequential and parallel algorithms. A two-dimensional case with a mesh partition is studied for three cases: a square shape, a wide rectangular shape, and a tall rectangular shape. Graphs of dynamics of acceleration and efficiency of algorithms are given, and their analysis is also carried out. To smooth the graphs of acceleration and efficiency of algorithms, we apply approximation of experimental data based on the obtained results.
利用Caputo导数和Grunwald- Letnikov导数，建立了二维区域非平稳热湿传递过程的数学模型。提出了一种考虑分数阶积分微分装置的噪声热水分传递数学模型的隐式有限差分逼近格式。给出的模型数值实现算法允许接收分区面积上所有点的温湿度函数值。分步法适用于数学模型的数值实现。它允许在考虑相应空间坐标的情况下对两个差分半步进行并行计算。本文所实现的分形结构材料非等温水分传递并行计算算法，可以在不需要进行复杂、昂贵的实际实验的情况下获得可靠的计算结果。建议在软件开发中使用模型-视图-演示器设计模式。该软件利用。net线程和TPL库的算法特性开发了并行算法。它已在具有不同容量cpu的多核计算机系统上进行了测试。. net Stopwatch类用于测量顺序和并行算法的执行时间。研究了方形、宽矩形和高矩形三种情况的二维网格划分情况。给出了算法的加速动态图和效率图，并对其进行了分析。为了使算法的加速图和效率图更加平滑，我们在所得结果的基础上对实验数据进行了近似。
{"title":"Software and algorithmic provision of parallel calculation of non-isothermal moisture transfer based on the apparatus of fractional derivatives","authors":"Yaroslav Sokolovskyy, V. Yarkun, M. Levkovych, Dmytro Ratynchuk","doi":"10.23939/cds2022.01.095","DOIUrl":"https://doi.org/10.23939/cds2022.01.095","url":null,"abstract":"A new mathematical model of the nonstationary process of heat and moisture transfer in the two-dimensional region is constructed on the basis of the use of Caputo and Grunwald- Letnikov derivatives. An implicit finite-difference scheme for approximation of a mathematical model of noisothermal moisture transfer taking into account the fractional integro-differential apparatus is developed. The given algorithm of numerical realization of model allows to receive values of function of temperature and humidity for all points of area of partition. The method of fractional steps is adapted for numerical realization of mathematical model. It allowed performing parallel calculations of two difference half-step taking into account the corresponding spatial coordinate. The implemented algorithm of parallel calculation of non- isothermal moisture transfer in materials of fractal structure makes it possible to obtain a reliable result without the need to conduct complex and expensive practical experiments. It is proposed to use the Model-View-Presenter design pattern for software development. The software a parallel algorithm using .Net threads and algorithmic features of the TPL library has developed. It has been tested on multi-core computer systems with CPUs of different capacities. The .NET Stopwatch class was used to measure the execution time of sequential and parallel algorithms. A two-dimensional case with a mesh partition is studied for three cases: a square shape, a wide rectangular shape, and a tall rectangular shape. Graphs of dynamics of acceleration and efficiency of algorithms are given, and their analysis is also carried out. To smooth the graphs of acceleration and efficiency of algorithms, we apply approximation of experimental data based on the obtained results.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133625136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
O. Sinkevych, L. Monastyrskii, B. Sokolovskii, Yaroslav Boyko
This work is devoted to the method of determining the effective thermal parameters of heating sources in a smart home, which involves a combination of algorithms for data analysis and the equation of the physical process of heat transfer. The use of such parameters allows one to create software and hardware solutions for modeling the thermal map of the house, as well as to analyze energy consumption using the machine learning models. Since, for the most part, the total consumption of heating energy is known, it is of interest to determine the part of the energy that corresponds to the individual heating sources. To this end, the article proposes a mathematical model and algorithm for estimating the effective thermal characteristics of heating sources based on the heat transfer equation and data analysis approaches that can be used to obtain information about individual heating sources. The task of determining such parameters is reduced to two stages. At the first stage, using the finite-difference approach to the heat transfer equation, the effective thermal parameter of the heating sources is determined. Further, according to the data of energy consumption and distributions of room temperatures and temperatures on the surface of heating elements, by applying data analysis methods, an algorithm for estimating individual effective thermal characteristics of heating elements installed in rooms is proposed.
{"title":"Estimation of effective thermal parameters of heating sources based on dynamic measurments in smart home","authors":"O. Sinkevych, L. Monastyrskii, B. Sokolovskii, Yaroslav Boyko","doi":"10.23939/cds2020.01.058","DOIUrl":"https://doi.org/10.23939/cds2020.01.058","url":null,"abstract":"This work is devoted to the method of determining the effective thermal parameters of heating sources in a smart home, which involves a combination of algorithms for data analysis and the equation of the physical process of heat transfer. The use of such parameters allows one to create software and hardware solutions for modeling the thermal map of the house, as well as to analyze energy consumption using the machine learning models. Since, for the most part, the total consumption of heating energy is known, it is of interest to determine the part of the energy that corresponds to the individual heating sources. To this end, the article proposes a mathematical model and algorithm for estimating the effective thermal characteristics of heating sources based on the heat transfer equation and data analysis approaches that can be used to obtain information about individual heating sources. The task of determining such parameters is reduced to two stages. At the first stage, using the finite-difference approach to the heat transfer equation, the effective thermal parameter of the heating sources is determined. Further, according to the data of energy consumption and distributions of room temperatures and temperatures on the surface of heating elements, by applying data analysis methods, an algorithm for estimating individual effective thermal characteristics of heating elements installed in rooms is proposed.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131903164","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Predictive maintenance is a widely applied maintenance program that requires extensive support of computer aided systems. The program uses specific procedures that are to be addressed when developing predictive maintenance software solutions. Despite the fact that software solutions for predictive maintenance were introduced almost at the same time as the program emerged, it still remains a very actual field for the application of computer aided systems. The practice also shows that developers of computer aided systems for predictive maintenance constantly encounter problems, trying to translate predictive maintenance procedures into the computer language. These procedures are very specific and require microprocessor-based equipment and development of sophisticated algorithms. Therefore, there is a distinct need for better awareness about the predictive maintenance concept among software developers. The article aims to describe the essence of the predictive maintenance concept, its fundamental approaches and the main physical processes upon which the predictive maintenance procedures are based: (1) distinct vibration frequency components which are inherent in all common failure modes; and (2) constant amplitude of each distinct vibration component. The importance of the awareness with the concept for computer aided systems developers is emphasized. And the most problematic areas of software application in predictive maintenance programs are outlined, namely the development of effective computerized systems to capture and analyze an immense quantity of data (big data processing), and the development of systems, supporting an intelligent connection of smart devices with the means of internet protocols (Internet of Things).
{"title":"Predictive maintenance – a major field for the application of computer aided systems","authors":"A. Andrushko, M. Lobur, M. Iwaniec","doi":"10.23939/cds2022.01.049","DOIUrl":"https://doi.org/10.23939/cds2022.01.049","url":null,"abstract":"Predictive maintenance is a widely applied maintenance program that requires extensive support of computer aided systems. The program uses specific procedures that are to be addressed when developing predictive maintenance software solutions. Despite the fact that software solutions for predictive maintenance were introduced almost at the same time as the program emerged, it still remains a very actual field for the application of computer aided systems. The practice also shows that developers of computer aided systems for predictive maintenance constantly encounter problems, trying to translate predictive maintenance procedures into the computer language. These procedures are very specific and require microprocessor-based equipment and development of sophisticated algorithms. Therefore, there is a distinct need for better awareness about the predictive maintenance concept among software developers. The article aims to describe the essence of the predictive maintenance concept, its fundamental approaches and the main physical processes upon which the predictive maintenance procedures are based: (1) distinct vibration frequency components which are inherent in all common failure modes; and (2) constant amplitude of each distinct vibration component. The importance of the awareness with the concept for computer aided systems developers is emphasized. And the most problematic areas of software application in predictive maintenance programs are outlined, namely the development of effective computerized systems to capture and analyze an immense quantity of data (big data processing), and the development of systems, supporting an intelligent connection of smart devices with the means of internet protocols (Internet of Things).","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122302359","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yaroslav Sokolovskyy, Mykhailo Bordun, M. Levkovych
The work created software and algorithmic support for modeling and forecasting the Bitcoin cryptocurrency using the ARFIMA (AutoRegressive Fractionally Integrated Moving Average) fractal model. Time series forecasting models (autoregressive, fractal) were analyzed. The selection of the most appropriate parameters of the selected fractal model was also carried out to maximize accuracy in view of the RMSE metric. The series were analyzed for trend, seasonality, white noise, non-stationarity and long-term memory. The Hurst indicators were studied and the algorithm for choosing the optimal parameter d of fractal differentiation of the ARFIMA model was adapted. The choice of software tools for implementing algorithms and forecasting models using the Python programming language version 3.6.5 using the pandas version 1.1.3 and numpy version 1.19.2 libraries is justified. In order to forecast the time series, the programming language R version 4.1.3 was used, along with the forecast version 8.16 and arfima version 1.8.0 libraries. The software implementation of the ARFIMA fractal model was carried out. Transferred the application to the Google Colab cloud service using Google Drive storage for storing data and forecasting results. The results of comparing the effectiveness of the created fractal model with the same model with automatic selection of parameters, as well as with the most appropriate autoregression model on different sizes of training and test data were obtained. It was established that a larger amount of both training and test data clearly favors fractal models, since in this case there is a long-lasting effect, that is, a pronounced long memory in the second time series. The result is a software system that can be used by investors and ordinary people to analyze and forecast their chosen cryptocurrency using a modern fractal modeling approach. It is important to always check the data and clean up anomalous deviations that cause error in the prediction estimate.
{"title":"Development of software and algorithmic security for forecasting the cryptocurrency course using fractal analysis methods","authors":"Yaroslav Sokolovskyy, Mykhailo Bordun, M. Levkovych","doi":"10.23939/cds2022.01.081","DOIUrl":"https://doi.org/10.23939/cds2022.01.081","url":null,"abstract":"The work created software and algorithmic support for modeling and forecasting the Bitcoin cryptocurrency using the ARFIMA (AutoRegressive Fractionally Integrated Moving Average) fractal model. Time series forecasting models (autoregressive, fractal) were analyzed. The selection of the most appropriate parameters of the selected fractal model was also carried out to maximize accuracy in view of the RMSE metric. The series were analyzed for trend, seasonality, white noise, non-stationarity and long-term memory. The Hurst indicators were studied and the algorithm for choosing the optimal parameter d of fractal differentiation of the ARFIMA model was adapted. The choice of software tools for implementing algorithms and forecasting models using the Python programming language version 3.6.5 using the pandas version 1.1.3 and numpy version 1.19.2 libraries is justified. In order to forecast the time series, the programming language R version 4.1.3 was used, along with the forecast version 8.16 and arfima version 1.8.0 libraries. The software implementation of the ARFIMA fractal model was carried out. Transferred the application to the Google Colab cloud service using Google Drive storage for storing data and forecasting results. The results of comparing the effectiveness of the created fractal model with the same model with automatic selection of parameters, as well as with the most appropriate autoregression model on different sizes of training and test data were obtained. It was established that a larger amount of both training and test data clearly favors fractal models, since in this case there is a long-lasting effect, that is, a pronounced long memory in the second time series. The result is a software system that can be used by investors and ordinary people to analyze and forecast their chosen cryptocurrency using a modern fractal modeling approach. It is important to always check the data and clean up anomalous deviations that cause error in the prediction estimate.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122235664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The paper investigates four problems on the dividing a unit segment by the "golden" proportion. Namely, the general model of the unit segment "golden" division, the decomposition of a square trinomial, the "golden" division of a unit segment by a point with coordinate x<12 the "golden" division of a unit segment with loss of "memory". In this article, the concept of decomposition is used as elevation to the degree of a quadratic trinomial. The binary division of a unit segment into two unequal parts with the properties of the "golden" proportion is realized at an arbitrary point in the phase plane 0pq , and the decomposition of a square trinomial leads to the formation of recurrent sequences with Fibonacci properties. It can be noted that the well-known "golden" ratio between the parts of the binary division is most likely a partial imitation of the theorems of Viet and Poincaré. The rules of the "golden" division for the case x>12 are well studied. Therefore, the regularities for the case x<12 were researched. Despite the fact that the numbers ψ,φ are expressed through each other, from the point of view of the "golden" division, both realizations with quantitative characteristics Yφ|L=1=φ and Xψ|L=1=ψ are independent and equal, although their quantitative characteristics can be related to each other with the appropriate formulas. Geometric progressions were constructed for numbers φ and ψ for whole positive values n≥0 of the exponent to confirm the independence and equality of both models. Quantitative characteristics of the "golden" division of a unit segment by two points with coordinates in intervals x>12 and x<12 interconnected by a nonlinear relation of parabolic type ψ=φ2 . In the classical "golden" section theory, it is assumed that after distribution, the parts of the segment do not change their spatial directions, and they coincide with the direction of the original segment, i.e. α=0 . In this article the case α≠0 was studied when, after the distribution, the spatial orientation of the distribution elements changes. The angular dependence of the "golden" division of a unit segment with the loss of "memory" of its parts on the spatial orientation after division, shows a known angle α|p→1→π3 of inclination on the lateral surface of the Hyops.
{"title":"New regularities of segment division according to the golden ratio","authors":"P. Kosobutskyy, V. Oksentyuk","doi":"10.23939/cds2022.01.057","DOIUrl":"https://doi.org/10.23939/cds2022.01.057","url":null,"abstract":"The paper investigates four problems on the dividing a unit segment by the \"golden\" proportion. Namely, the general model of the unit segment \"golden\" division, the decomposition of a square trinomial, the \"golden\" division of a unit segment by a point with coordinate x<12 the \"golden\" division of a unit segment with loss of \"memory\". In this article, the concept of decomposition is used as elevation to the degree of a quadratic trinomial. The binary division of a unit segment into two unequal parts with the properties of the \"golden\" proportion is realized at an arbitrary point in the phase plane 0pq , and the decomposition of a square trinomial leads to the formation of recurrent sequences with Fibonacci properties. It can be noted that the well-known \"golden\" ratio between the parts of the binary division is most likely a partial imitation of the theorems of Viet and Poincaré. The rules of the \"golden\" division for the case x>12 are well studied. Therefore, the regularities for the case x<12 were researched. Despite the fact that the numbers ψ,φ are expressed through each other, from the point of view of the \"golden\" division, both realizations with quantitative characteristics Yφ|L=1=φ and Xψ|L=1=ψ are independent and equal, although their quantitative characteristics can be related to each other with the appropriate formulas. Geometric progressions were constructed for numbers φ and ψ for whole positive values n≥0 of the exponent to confirm the independence and equality of both models. Quantitative characteristics of the \"golden\" division of a unit segment by two points with coordinates in intervals x>12 and x<12 interconnected by a nonlinear relation of parabolic type ψ=φ2 . In the classical \"golden\" section theory, it is assumed that after distribution, the parts of the segment do not change their spatial directions, and they coincide with the direction of the original segment, i.e. α=0 . In this article the case α≠0 was studied when, after the distribution, the spatial orientation of the distribution elements changes. The angular dependence of the \"golden\" division of a unit segment with the loss of \"memory\" of its parts on the spatial orientation after division, shows a known angle α|p→1→π3 of inclination on the lateral surface of the Hyops.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"64 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116601142","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A methodical analysis of the basic problem related to quantum calculations of parameters of physical systems was made. Emphasis is placed on the physical principles of the operation of a quantum computer, with an emphasis on the fact that simultaneous access to all quantum states is important in quantum computing, which allows the simultaneous change of the quantum state from all superpositions in the qubit system. Emphasis is placed on the fact that in quantum algorithms the Fourier transform and the Hadamard transform are the basic operations - as a simple discrete Fourier transform. The reader's attention is drawn to the fact that quantum computing is primarily implemented in quantum objects with the properties of elementary NOT gates and controlled CNOT, which can be implemented on a Mach-Zehnder interferometer using the phenomena of photon interference and rotation of its polarization vector. Despite the progress of conventional computers, the need for the development of quantum computing is due to the technological limitation due to the dimensional quantization of the electronic spectrum and the exponential increase in the time of calculations by classical algorithms when the volume of data increases. However, the widespread use of quantum computers is limited by a number of problems. This is, first of all, insufficient accuracy and high sensitivity to external influences that can destroy the quantum state. Therefore, to increase the accuracy of calculations on a quantum computer, the calculation algorithm must be repeated a certain number of times, and to avoid the destruction of the quantum states of the qubit, low temperatures are used.
{"title":"Physical foundations of quantum informatics: from quantum mechanics through quantum computing to quantum cryptography","authors":"P. Kosobutskyy","doi":"10.23939/cds2022.01.033","DOIUrl":"https://doi.org/10.23939/cds2022.01.033","url":null,"abstract":"A methodical analysis of the basic problem related to quantum calculations of parameters of physical systems was made. Emphasis is placed on the physical principles of the operation of a quantum computer, with an emphasis on the fact that simultaneous access to all quantum states is important in quantum computing, which allows the simultaneous change of the quantum state from all superpositions in the qubit system. Emphasis is placed on the fact that in quantum algorithms the Fourier transform and the Hadamard transform are the basic operations - as a simple discrete Fourier transform. The reader's attention is drawn to the fact that quantum computing is primarily implemented in quantum objects with the properties of elementary NOT gates and controlled CNOT, which can be implemented on a Mach-Zehnder interferometer using the phenomena of photon interference and rotation of its polarization vector. Despite the progress of conventional computers, the need for the development of quantum computing is due to the technological limitation due to the dimensional quantization of the electronic spectrum and the exponential increase in the time of calculations by classical algorithms when the volume of data increases. However, the widespread use of quantum computers is limited by a number of problems. This is, first of all, insufficient accuracy and high sensitivity to external influences that can destroy the quantum state. Therefore, to increase the accuracy of calculations on a quantum computer, the calculation algorithm must be repeated a certain number of times, and to avoid the destruction of the quantum states of the qubit, low temperatures are used.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129893483","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this work, research the essence of the wood drying process in a periodic wood drying chamber. This paper provides a mathematical model of a wood drying chamber, which describes the general essence of physical drying processes using the equipment available in the wood drying chamber. This approach allows to take into account the physical parameters of the necessary equipment, such as heaters, fans, humidifying nozzles or other. This approach also allows to ignore some design characteristics that may differ depending on the type of wood drying chamber. Considering this, the main task in this work is to determine the temperature and humidity of the drying agent and lumber in the stack, as well as the temperature of the main components of the wood drying chamber. Taking into account such a large number of input parameters and describing a complex non-stationary process of heat transfer, there is a need to create complicated mathematical models. The presence of such mathematical models greatly complicates their application and requires significant computer resources for their calculation. In this way, the mathematical description is reduced to the description of non-linear partial differential equations. To simplify and speed up the calculations of this mathematical model, the use of cellular automata is suggested. To do this, the 3D model of the wood drying chamber is represented as a cell-automatic field, which consists of cells of the same size but different types. As a result, neighboring cells contain local relationships that describe their general behavior. This behavior depends on the type of tangent cells and is described by transition rules based on a mathematical model. Through the use of the developed cell-automatic model and transition rules, it is possible to obtain the values of the temperature and moisture content of the wood in the stack, the drying agent in the chamber, as well as the temperature of the main components of the chamber. The work also shows the corresponding graphs of changes in temperature and moisture content. To check the adequacy and reliability, the obtained results were compared with the results of other authors' experiments. As a result of the verification, the values of the average absolute error aren't high, which confirms the adequacy of the mathematical model and the prospects of using the developed cell-automatic model.
{"title":"The use of cellular automata in the simulation of wood drying processes in a wood drying chamber of periodic action","authors":"Yaroslav Sokolovskyy, O. Sinkevych","doi":"10.23939/cds2022.01.017","DOIUrl":"https://doi.org/10.23939/cds2022.01.017","url":null,"abstract":"In this work, research the essence of the wood drying process in a periodic wood drying chamber. This paper provides a mathematical model of a wood drying chamber, which describes the general essence of physical drying processes using the equipment available in the wood drying chamber. This approach allows to take into account the physical parameters of the necessary equipment, such as heaters, fans, humidifying nozzles or other. This approach also allows to ignore some design characteristics that may differ depending on the type of wood drying chamber. Considering this, the main task in this work is to determine the temperature and humidity of the drying agent and lumber in the stack, as well as the temperature of the main components of the wood drying chamber. Taking into account such a large number of input parameters and describing a complex non-stationary process of heat transfer, there is a need to create complicated mathematical models. The presence of such mathematical models greatly complicates their application and requires significant computer resources for their calculation. In this way, the mathematical description is reduced to the description of non-linear partial differential equations. To simplify and speed up the calculations of this mathematical model, the use of cellular automata is suggested. To do this, the 3D model of the wood drying chamber is represented as a cell-automatic field, which consists of cells of the same size but different types. As a result, neighboring cells contain local relationships that describe their general behavior. This behavior depends on the type of tangent cells and is described by transition rules based on a mathematical model. Through the use of the developed cell-automatic model and transition rules, it is possible to obtain the values of the temperature and moisture content of the wood in the stack, the drying agent in the chamber, as well as the temperature of the main components of the chamber. The work also shows the corresponding graphs of changes in temperature and moisture content. To check the adequacy and reliability, the obtained results were compared with the results of other authors' experiments. As a result of the verification, the values of the average absolute error aren't high, which confirms the adequacy of the mathematical model and the prospects of using the developed cell-automatic model.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133975300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, the regularities of convolution of sequences c of Fibonacci numbers {Fn} generated by metallic means and the sum of products of two statistically independent sequences {Fi} and Jn=j∙sin(0.5π(n-j)) are investigated. It is shown that the known closed forms of sums for convolution and product are similar. Attention to the study of the convolution of two sequences of discrete data is associated with the use of this method for statistical signal processing. This problem involves calculating finite sums as discrete analogs of definite integrals. Such a problem is considered solved if the formula for the sum is expressed in a closed form as a function of its members and their number.
{"title":"The formulas for sum of products of sequences associated with the metallic means","authors":"P. Kosobutskyy, N. Nestor","doi":"10.23939/cds2020.01.073","DOIUrl":"https://doi.org/10.23939/cds2020.01.073","url":null,"abstract":"In this paper, the regularities of convolution of sequences c of Fibonacci numbers {Fn} generated by metallic means and the sum of products of two statistically independent sequences {Fi} and Jn=j∙sin(0.5π(n-j)) are investigated. It is shown that the known closed forms of sums for convolution and product are similar. Attention to the study of the convolution of two sequences of discrete data is associated with the use of this method for statistical signal processing. This problem involves calculating finite sums as discrete analogs of definite integrals. Such a problem is considered solved if the formula for the sum is expressed in a closed form as a function of its members and their number.","PeriodicalId":270498,"journal":{"name":"Computer Design Systems. Theory and Practice","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123918773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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