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SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2016. № 8. P. 10-14.
SCIENTIFIC AREA:    Physical-Mathematical Sciences
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REGULARITIES EXPRESSION IN EXPERIMENTAL STUDIES

Antonov Vladimir Aleksandrovich
Institute of Mining of the Ural Branch of the Russian Academy of Sciences


Abstract. The article deals with theoretical principles, methodological techniques and recommendations aimed at revealing regularities in experimental scientific studies, according to which natural and socio-economic processes are established and developed. It is shown that they are expressed and interpreted in the most reliable way by the method of nonlinear functional-factor regression combining their determinism and statistical randomness. Two examples of revealing regularity are given.
Key words and phrases: природные процессы и явления, экспериментальные измерения, случайные отклонения, нелинейная регрессия, закономерность, коэффициент детерминации, natural processes and phenomena, experimental measurements, random deviates, nonlinear regression, regularity, coefficient of determination
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References:
  1. Antonov V. A. Otsenka adekvatnosti regressionnoi modeli po pogreshnosti eksperimental'nykh izmerenii // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2014. № 11 (89). C. 27-32.
  2. Antonov V. A. Postroenie i optimizatsiya modelei nelineinoi funktsional'no-faktornoi regressii // Informatsionnye tekhnologii. 2013. № 5. S. 17-24.
  3. Antonov V. A., Yakovlev M. V. Otobrazhenie gorno-tekhnologicheskikh zakonomernostei funktsional'no-faktornymi uravneniyami nelineinoi regressii // Problemy nedropol'zovaniya: gornyi informatsionno-analiticheskii byulleten'. 2011. Otdel'nyi vypusk. S. 571-588.
  4. Regotunov A. S., Antonov V. A. Eksperimental'noe issledovanie rezhimov udarnogo bureniya gornykh porod // Izvestiya vuzov. Gornyi zhurnal. 2015. № 8. S. 61-69.
  5. Kharisov T. F., Antonov V. A. Issledovanie deformatsii gornykh porod v protsesse prokhodki vertikal'nogo stvola // Gornyi informatsionno-analiticheskii byulleten'. 2015. № 3. S. 146-150.

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