On applicability of mathematical scaling and normalization in applied problem solving
Introduction. The applicability of mathematical scaling and normalization in solving various applied problems is analyzed. The best known formulas often used along the theoretical and experimental studies are considered. The purpose of this work is to identify the properties of mathematical scaling...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Don State Technical University
2018-06-01
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| Series: | Advanced Engineering Research |
| Subjects: | |
| Online Access: | https://www.vestnik-donstu.ru/jour/article/view/275 |
| _version_ | 1797881364025966592 |
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| author | A. I. Dolgov D. V. Marshakov |
| author_facet | A. I. Dolgov D. V. Marshakov |
| author_sort | A. I. Dolgov |
| collection | DOAJ |
| description | Introduction. The applicability of mathematical scaling and normalization in solving various applied problems is analyzed. The best known formulas often used along the theoretical and experimental studies are considered. The purpose of this work is to identify the properties of mathematical scaling and rationing.Materials and Methods. The errors obtained under using the mathematical scaling and normalization formulas are considered via specific computational examples. Based on a comparative evaluation of the ratio of the degree of magnitude of the initial and resulting values (as well as the ratio of the degree of difference of these values), the correctness of the results obtained which significantly effects the final values is estimated.Research Results. The analysis leads to the conclusion that some known mathematical scaling and normalization formulas possess properties that are ignored in theory and practice.Discussion and Conclusions. The results obtained allow avoiding erroneous decisions caused by the use of invalid scaling and normalization formulas under solving problems in theory and practice of economics, administrative management, medicine, and plenty of other fields. |
| first_indexed | 2024-04-10T03:17:48Z |
| format | Article |
| id | doaj.art-64e17afc574f47cc826263b0262ff63f |
| institution | Directory Open Access Journal |
| issn | 2687-1653 |
| language | Russian |
| last_indexed | 2024-04-10T03:17:48Z |
| publishDate | 2018-06-01 |
| publisher | Don State Technical University |
| record_format | Article |
| series | Advanced Engineering Research |
| spelling | doaj.art-64e17afc574f47cc826263b0262ff63f2023-03-13T07:31:27ZrusDon State Technical UniversityAdvanced Engineering Research2687-16532018-06-011819210110.23947/1992-5980-2018-18-1-92-101268On applicability of mathematical scaling and normalization in applied problem solvingA. I. Dolgov0D. V. Marshakov1АО «Всероссийский научно-исследовательский институт «Градиент»Донской государственный технический университетIntroduction. The applicability of mathematical scaling and normalization in solving various applied problems is analyzed. The best known formulas often used along the theoretical and experimental studies are considered. The purpose of this work is to identify the properties of mathematical scaling and rationing.Materials and Methods. The errors obtained under using the mathematical scaling and normalization formulas are considered via specific computational examples. Based on a comparative evaluation of the ratio of the degree of magnitude of the initial and resulting values (as well as the ratio of the degree of difference of these values), the correctness of the results obtained which significantly effects the final values is estimated.Research Results. The analysis leads to the conclusion that some known mathematical scaling and normalization formulas possess properties that are ignored in theory and practice.Discussion and Conclusions. The results obtained allow avoiding erroneous decisions caused by the use of invalid scaling and normalization formulas under solving problems in theory and practice of economics, administrative management, medicine, and plenty of other fields.https://www.vestnik-donstu.ru/jour/article/view/275масштабированиенормированиеанализ данныхприменимость формулискусственная нейронная сетьформула байеса |
| spellingShingle | A. I. Dolgov D. V. Marshakov On applicability of mathematical scaling and normalization in applied problem solving Advanced Engineering Research масштабирование нормирование анализ данных применимость формул искусственная нейронная сеть формула байеса |
| title | On applicability of mathematical scaling and normalization in applied problem solving |
| title_full | On applicability of mathematical scaling and normalization in applied problem solving |
| title_fullStr | On applicability of mathematical scaling and normalization in applied problem solving |
| title_full_unstemmed | On applicability of mathematical scaling and normalization in applied problem solving |
| title_short | On applicability of mathematical scaling and normalization in applied problem solving |
| title_sort | on applicability of mathematical scaling and normalization in applied problem solving |
| topic | масштабирование нормирование анализ данных применимость формул искусственная нейронная сеть формула байеса |
| url | https://www.vestnik-donstu.ru/jour/article/view/275 |
| work_keys_str_mv | AT aidolgov onapplicabilityofmathematicalscalingandnormalizationinappliedproblemsolving AT dvmarshakov onapplicabilityofmathematicalscalingandnormalizationinappliedproblemsolving |