Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162695
S. Burmistrov, O. M. Panasco, D. Vakulenko
The article describes a matrix method for obtaining the full composition of the groups of relativ-ity of Boolean functions on the basis of a universal permutation matrix. This method makes it possible to obtain the full composition of the group of relativity on the basis of one Boolean function of its composition, the name of the group of relativity (the smallest binary number of Boolean function in the group), to construct the minimal form for any of Boolean functions of the group without the process of minimization if at least one function from the group of relativity is already minimized. The phenomenon of the groups of relativity in symbolic logic is due to the problem of numerology. It is due to the fact that all arguments of Boolean function are absolutely equal, but when constructing a truth table, columns must be put in a certain order. As a result, there are large groups of functions having the same properties, because they have the same internal structure. The advantage of group data is that they completely cover the full range of Boolean functions without overlapping one another. This makes it possible to significantly reduce the number of objects studied within the complete set L(n) of all Boolean functions f(n) by examining only one Boolean function from the whole group. The full composition of the group of relativity based on the truth table of the function can be formed by performing two equivalence operations – by rearranging columns of arguments in places or by replacing the arguments columns with their inverses, without changing in both cases the values in the column of the result. It is these actions that underlie the implementation of the method. To simplify the implementation of the method, recursive procedures are replaced by cyclic ones. This method is developed as a working tool for studying the relationships between the groups of relativity in terms of the decomposition of Boolean functions in order to find new effective methods of minimization.
{"title":"MATRIX METHOD OF RECEIVING THE FULL COMPOSITION OF THE GROUPS OF RELATIVITY OF BOOLEAN FUNCTIONS","authors":"S. Burmistrov, O. M. Panasco, D. Vakulenko","doi":"10.24025/2306-4412.3.2018.162695","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162695","url":null,"abstract":"The article describes a matrix method for obtaining the full composition of the groups of relativ-ity of Boolean functions on the basis of a universal permutation matrix. This method makes it possible to obtain the full composition of the group of relativity on the basis of one Boolean function of its composition, the name of the group of relativity (the smallest binary number of Boolean function in the group), to construct the minimal form for any of Boolean functions of the group without the process of minimization if at least one function from the group of relativity is already minimized. The phenomenon of the groups of relativity in symbolic logic is due to the problem of numerology. It is due to the fact that all arguments of Boolean function are absolutely equal, but when constructing a truth table, columns must be put in a certain order. As a result, there are large groups of functions having the same properties, because they have the same internal structure. The advantage of group data is that they completely cover the full range of Boolean functions without overlapping one another. This makes it possible to significantly reduce the number of objects studied within the complete set L(n) of all Boolean functions f(n) by examining only one Boolean function from the whole group. The full composition of the group of relativity based on the truth table of the function can be formed by performing two equivalence operations – by rearranging columns of arguments in places or by replacing the arguments columns with their inverses, without changing in both cases the values in the column of the result. It is these actions that underlie the implementation of the method. To simplify the implementation of the method, recursive procedures are replaced by cyclic ones. This method is developed as a working tool for studying the relationships between the groups of relativity in terms of the decomposition of Boolean functions in order to find new effective methods of minimization.","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48306509","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}
Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162737
В. В. Нікольський, К. Ю. Бережний
{"title":"МОДЕЛЬ ВИМІРЮВАЛЬНОГО ЗОНДУ КОМП’ЮТЕРНОЇ СИСТЕМИ ВИЗНАЧЕННЯ РЕОЛОГІЧНИХ ХАРАКТЕРИСТИК СУДНОВИХ ТЕХНІЧНИХ РІДИН","authors":"В. В. Нікольський, К. Ю. Бережний","doi":"10.24025/2306-4412.3.2018.162737","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162737","url":null,"abstract":"","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68825432","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}
Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162750
О. О. Броварець
The article is devoted to optimization of productivity and provision of ecological quality of agricultural products with the help of modern information and technical systems, taking into account the variability of zones of management by agricultural field. It is proposed to represent the heterogeneity of the soil as a hierarchical subordination of phenomena. At the same time, the issue of measuring heterogeneity is proposed to be solved by quantitative comparison of measuring objects using the appropriate criteria. Under these conditions, there is a need to find the most effective way for operational monitoring of agrobiological state of agricultural land, which opens new prospects for organic farming using intelligent agricultural machines.
{"title":"ВИКОРИСТАННЯ СУЧАСНИХ ІНФОРМАЦІЙНО-ТЕХНІЧНИХ СИСТЕМ У АГРОПРОМИСЛОВОМУ ВИРОБНИЦТВІ","authors":"О. О. Броварець","doi":"10.24025/2306-4412.3.2018.162750","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162750","url":null,"abstract":"The article is devoted to optimization of productivity and provision of ecological quality of agricultural products with the help of modern information and technical systems, taking into account the variability of zones of management by agricultural field. It is proposed to represent the heterogeneity of the soil as a hierarchical subordination of phenomena. At the same time, the issue of measuring heterogeneity is proposed to be solved by quantitative comparison of measuring objects using the appropriate criteria. Under these conditions, there is a need to find the most effective way for operational monitoring of agrobiological state of agricultural land, which opens new prospects for organic farming using intelligent agricultural machines.","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68825453","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}
Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162716
Дієго Фернандо Сепеда Гуаман
{"title":"ОСОБЛИВОСТІ УПРАВЛІННЯ ОРГАНІЗАЦІЙНИМИ ПРОЕКТАМИ У СФЕРІ ОБСЛУГОВУВАННЯ ЛІТАКІВ","authors":"Дієго Фернандо Сепеда Гуаман","doi":"10.24025/2306-4412.3.2018.162716","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162716","url":null,"abstract":"","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68825015","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}
Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162719
Ю. М. Кузьмінська
{"title":"МОДЕЛЬ УПРАВЛІННЯ КРЕАТИВНІСТЮ ТА РИЗИКАМИ КОМАНД ОСВІТНІХ ПРОЕКТІВ У СФЕРІ ПІДВИЩЕННЯ КВАЛІФІКАЦІЇ","authors":"Ю. М. Кузьмінська","doi":"10.24025/2306-4412.3.2018.162719","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162719","url":null,"abstract":"","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68825063","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}
Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162753
О. П. Плахотний
{"title":"МОДЕЛЮВАННЯ ВПЛИВУ АМПЛІТУДНО-ЧАСОВИХ ПАРАМЕТРІВ ЕЛЕКТРИЧНИХ ІМПУЛЬСІВ НА ПРОЦЕСИ АНОДНОГО РОЗЧИНЕННЯ ПРИ ЕЛЕКТРОХІМІЧНІЙ ОБРОБЦІ ДРОТЯНИМ ЕЛЕКТРОДОМ","authors":"О. П. Плахотний","doi":"10.24025/2306-4412.3.2018.162753","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162753","url":null,"abstract":"","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47705210","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}
Pub Date : 2018-09-26DOI: 10.24025/2306-4412.3.2018.162759
М. П. Рудь, Олександр Похил, С. В. Заболотній, Анатолій Солтус
The 3D printing of functional components has significant advantages over conventional technologies due to the ability to fabricate parts with complex shapes without the need to produce specialized equipment. However, there are a number of geometric forms of objects, which require extra research, using 3D printing. Thin-walled parts are one of these objects. In the paper the mathematical model of thermal conductivity of the process of 3D printing of thin-walled products is constructed in order to determine the optimal parameters of technological process, which provide the minimum thermal deformation of the product and the maximum adhesion of layers.
{"title":"КІНЦЕВОЕЛЕМЕНТНЕ МОДЕЛЮВАННЯ ТЕРМОМЕХАНІЧНОЇ ПОВЕДІНКИ ВИРОБІВ З ПОЛІМЕРНИХ МАТЕРІАЛІВ ПРИ ЇХ ВИГОТОВЛЕННІ МЕТОДОМ ПОШАРОВОГО НАПЛАВЛЕННЯ","authors":"М. П. Рудь, Олександр Похил, С. В. Заболотній, Анатолій Солтус","doi":"10.24025/2306-4412.3.2018.162759","DOIUrl":"https://doi.org/10.24025/2306-4412.3.2018.162759","url":null,"abstract":"The 3D printing of functional components has significant advantages over conventional technologies due to the ability to fabricate parts with complex shapes without the need to produce specialized equipment. However, there are a number of geometric forms of objects, which require extra research, using 3D printing. Thin-walled parts are one of these objects. In the paper the mathematical model of thermal conductivity of the process of 3D printing of thin-walled products is constructed in order to determine the optimal parameters of technological process, which provide the minimum thermal deformation of the product and the maximum adhesion of layers.","PeriodicalId":34054,"journal":{"name":"Visnik Cherkas''kogo derzhavnogo tekhnologichnogo universitetu","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2018-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47657278","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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