| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2024 |
| Язык | английский |
|
Литвинов Александр Алексеевич, автор
Осокин Сергей Игоревич, автор
|
|
Нигматуллин Равиль Рашидович, автор
|
| Библиографическое описание на языке оригинала |
Osokin S.I. Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data / R.R. Nigmatullin, A.A. Litvinov, S.I. Osokin // Lobachevskii Journal of Mathematics. - 2024. - Vol. 45. - No. 8. - PP. 3956–3971. |
| Аннотация |
This paper provides the foundations of an original theory of quasi-reproducible experiments (QRE) based on the testable hypothesis that there exists an essential correlation (memory) between successive measurements. Based on this hypothesis, which the authors define for brevity as the verified partial correlation principle (VPCP), it can be proved that there exists a universal fitting function (UFF) for quasi-periodic (QP) and quasi-reproducible (QR) measurements. In other words, there is some common platform or “bridge” on which, figuratively speaking, a true theory (claiming to describe data from first principles or verifiable models) and an experiment offering this theory for verification measured data, maximally “cleaned” from the influence of uncontrollable factors and apparatus/soft wire function, meet. The proposed theory has been tested on eddy covariance ecological data, specifically measuring only the concentration of CH4, CO2 and water vapors of H2O in the local atmosphere where the corresponding detectors for measuring of the desired gases content are located. For these tested eddy covariance data associated with the presence of two gases CH4, CO2 and H2O vapors in atmosphere there is no simple hypothesis
containing a minimal number of the fitting parameters, and, therefore, the fitting function that follows from this theory can serve as the only and reliable quantitative description of this kind of data belonging to the tested complex system. Applications of this theory to practical applications, the place of this theory among other alternative approaches, (especially touching the professional interests of ecologists) and its further development are discussed at the end of this paper. |
| Ключевые слова |
quasi-reproducible experiments, complex systems, verified partial
correlation principle, universal fitting function, quasi-periodic measurements, quasireproducible measurements, memory effects, eddy covariance |
| Название журнала |
Lobachevskii Journal of Mathematics
|
| URL |
https://www.pleiades.online/ru/journal/lobjmat/main/ |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=303125 |
| Файлы ресурса | |
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Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Литвинов Александр Алексеевич |
ru_RU |
| dc.contributor.author |
Осокин Сергей Игоревич |
ru_RU |
| dc.contributor.author |
Нигматуллин Равиль Рашидович |
ru_RU |
| dc.date.accessioned |
2024-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2024-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2024 |
ru_RU |
| dc.identifier.citation |
Osokin S.I. Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data / R.R. Nigmatullin, A.A. Litvinov, S.I. Osokin // Lobachevskii Journal of Mathematics. - 2024. - Vol. 45. - No. 8. - PP. 3956–3971. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=303125 |
ru_RU |
| dc.description.abstract |
Lobachevskii Journal of Mathematics |
ru_RU |
| dc.description.abstract |
This paper provides the foundations of an original theory of quasi-reproducible experiments (QRE) based on the testable hypothesis that there exists an essential correlation (memory) between successive measurements. Based on this hypothesis, which the authors define for brevity as the verified partial correlation principle (VPCP), it can be proved that there exists a universal fitting function (UFF) for quasi-periodic (QP) and quasi-reproducible (QR) measurements. In other words, there is some common platform or “bridge” on which, figuratively speaking, a true theory (claiming to describe data from first principles or verifiable models) and an experiment offering this theory for verification measured data, maximally “cleaned” from the influence of uncontrollable factors and apparatus/soft wire function, meet. The proposed theory has been tested on eddy covariance ecological data, specifically measuring only the concentration of CH4, CO2 and water vapors of H2O in the local atmosphere where the corresponding detectors for measuring of the desired gases content are located. For these tested eddy covariance data associated with the presence of two gases CH4, CO2 and H2O vapors in atmosphere there is no simple hypothesis
containing a minimal number of the fitting parameters, and, therefore, the fitting function that follows from this theory can serve as the only and reliable quantitative description of this kind of data belonging to the tested complex system. Applications of this theory to practical applications, the place of this theory among other alternative approaches, (especially touching the professional interests of ecologists) and its further development are discussed at the end of this paper. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
quasi-reproducible experiments |
ru_RU |
| dc.subject |
complex systems |
ru_RU |
| dc.subject |
verified partial
correlation principle |
ru_RU |
| dc.subject |
universal fitting function |
ru_RU |
| dc.subject |
quasi-periodic measurements |
ru_RU |
| dc.subject |
quasireproducible measurements |
ru_RU |
| dc.subject |
memory effects |
ru_RU |
| dc.subject |
eddy covariance |
ru_RU |
| dc.title |
Quasi-reproducible experiments: Universal fitting function for quantitative description of complex systems data |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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