List of publications on a keyword: «entropy»


Естественные науки (физические и химические науки)

Publication date: 30.01.2024
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Marat A. Avdyev , postgraduate student , head
“Siberian Center for Mediation” Union , Ханты-Мансийский Автономный округ - Югра АО

«Fermat's Last Theorem and ABC-Conjecture in the School of the XXI Century»

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In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n > 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove. Hundreds of pages have been spent by eminent mathematicians of Western world searching for proofs, and the search for proofs continues. The author found new methods of proof that are generally understandable, even to schoolchildren on the basis of a synthesis of several sciences, including physics. Number theory plays an interesting role in pedagogy.

Publication date: 30.01.2024
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Marat A. Avdyev , postgraduate student , head
“Siberian Center for Mediation” Union , Ханты-Мансийский Автономный округ - Югра АО

«Fermat's Last Theorem and ABC-Conjecture in the School of the XXI Century»

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In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n > 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove. Hundreds of pages have been spent by eminent mathematicians of Western world searching for proofs, and the search for proofs continues. The author found new methods of proof that are generally understandable, even to schoolchildren on the basis of a synthesis of several sciences, including physics. Number theory plays an interesting role in pedagogy.

Publication date: 30.01.2024
Evaluate the material Average score: 0 (Всего: 0)
Marat A. Avdyev , postgraduate student , head
“Siberian Center for Mediation” Union , Ханты-Мансийский Автономный округ - Югра АО

«Fermat's Last Theorem and ABC-Conjecture in the School of the XXI Century»

Download an article

In 1637, Pierre de Fermat wrote at the margins of Diophantus’ Arithmetica that he had found a truly wonderful proof of the insolvability of the Diophantine equation a^n + b^n = c^n, where n > 2, but the narrow margins of the books did not allow him to give the full proof. Is there a short and easy way to prove Fermat's Last Theorem? The following ABC conjecture states that for three co-prime numbers A, B, and C which satisfy A + B = C, the product of the prime factors of ABC is usually not much less than C. Both theorems are formulated very simply, but are extremely difficult to prove. Hundreds of pages have been spent by eminent mathematicians of Western world searching for proofs, and the search for proofs continues. The author found new methods of proof that are generally understandable, even to schoolchildren on the basis of a synthesis of several sciences, including physics. Number theory plays an interesting role in pedagogy.

Физика

Publication date: 11.09.2019
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Viktor M. Yurov , candidate of physical and mathematical sciences , associate professor, director of the center
Sergei A. Guchenko , candidate for a doctor's degree
Karaganda State University named Y.A. Buketov , Kazakhstan

«Revisiting the friction of high entropy alloys and coatings»

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In this paper, the authors propose a new approach to the consideration of the friction phenomenon in HEAs and, in particular, dry friction. An equation is obtained that shows the nonlinear dependence of the friction coefficient on Gibbs energy G0, on temperature T, on the concentration of the number of electrons N and which allows predicting the formation of high entropy alloys and coatings.

Парадигмы современной науки

Publication date: 22.03.2018
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Kerem S. Shykhaliev , doctor of chemical sciences , профессор
Azerbaijan State Oil and Industry University , Azerbaijan

«Научные основы исследования получения модифицированных наполнителями, стабилизаторами, радиационным воздействием полиэтиленов и сополимеров этиленов»

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The properties of a composition based on modified polyethylenes have been studied in the work. Polyolefin thermoplastic elastomers were obtained on the basis of ethylene-propylene elastomers and high-density polyethylene by the two methods: in the first case, as a modifying agent sulfur-containing compounds (altax, sulfur) were used, and in the second – MAC. Thermoplastic elastomers of the series A were obtained as a result of a combination of the original polymer components melt on the mill rolls at a temperature of 433–453 K° at the gap between them 0.2 mm. After crystalline thermoplastic melting ethylene copolymer problemby EPS and structuring agents were added. To achieve a good homogenization milling was carried out for 25 minutes. Formulation of the compositions had the following composition (pts. wt): EPDM – 100; HDPE – 10–80; dicumyl peroxide 1–2.

Естественные науки (физические и химические науки)

Publication date: 15.08.2016
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Andrei V. Borodin , candidate of economic sciences
FSBEI of HE "Volga Region State University of Technology" , Марий Эл Респ

«Multitude riscs construction above the field of actual numerals»

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The article is devoted to development of the abstract theory of risk, in particular, from the set-theoretic point of view the structure of a set of risks is probed, from line items of the mathematical theory of an entropy components of partition of space of risks are probed.

Медицинские науки

Publication date: 05.02.2016
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Marina A. Mezentseva
Valeriia D. Bogdanova
Iana S. Zavialova
Kseniia M. Sabirova
Школа биомедицины ФГАОУ ВО «Дальневосточный федеральный университет» , Приморский край

«Роль экологических и социально-гигиенических факторов в распространении рака желудка в Приморском крае»

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The estimation of the prevalence of gastric cancer in the Primorsky Territory. As a mathematical tool used by database processing information and entropy analysis. It was found that the incidence of gastric cancer incidence in the Primorye Territory has environmental and social conditioning, with some advantage anthropogenic impacts, especially pollution of the environment and the general decline in the quality of life of the population.