List of publications on a keyword: «Ферма»

Статья посвящена использованию сюжетно-ролевой игры в ранней профориентации дошкольников.

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.

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.

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.

In this publication, the author proposes to find an elementary proof of Fermat's Last Theorem from the point of view of an engineering approach. As a model, a construction of three concentrically nested n-cubes or spheres with a common centre and integer edges or radii, a, b, c, is studied, provided that each point/unit cube of a small sphere corresponds to another point/unit cube of this subset of layers between the middle and the large sphere enclosed spheres. An insoluble conflict between the symmetric form and the content of the construction is studied for the case when n is greater than two. The proposed proof forces us to make broader generalisations concerning the necessity of the asymmetry of the universe as a condition for the emergence of matter and the origin of life. The proof of Fermat's Last Theorem, known as the "mathematical pearl", has an important symbolic, historical and educational significance.

В статье рассматривается проблема изучения науки в России. В десятилетие науки и техники необходимо стимулировать интерес школьников и студентов к точным наукам. «Открытие по плечу каждому студенту и старшекласснику!» – именно этот посыл стремится донести автор до любознательной молодежи и дерзких российских ученых. Там, где Американской науке потребовалось 140 стр. на поиск доказательства Великой теоремы Ферма, за что Эндрю Уайлсу присудили Абелевскую премию в 2016 году – Российской науке оказывается достаточно лишь полстраницы либо шести граней деревянного кубика для творческого развития ребёнка.

The article is about the fact that the extraordinary beauty and conciseness of the formulation of Fermat's Last Theorem make us look for its visual solution. Let's try to consider Fermat's theorem from the eyes of physicist. Perhaps from this positions Pierre de Fermat found a solution whose main ideas would fit schematically in the fairly wide margins of the book, in a few drawings. Skeptics continue to believe that Pierre de Fermat was probably mistaken. Meanwhile, consistent application of the basic principles of physics, geometry, and engineering make us think differently.

Интенсификация рыбоводства тесно связана с механизацией и частичной автоматизацией важнейших трудоемких процессов, что позволяет повысить производительность труда, сократить продолжительность производственных процессов, снизить себестоимость продукции. Механизация рыбоводства позволяет достичь более легкого, быстрого и качественного выполнения всех производственных процессов. Механизация должна также способствовать повышению рыбопродуктивности водоемов (механизация мелиоративных работ, удобрения), соблюдению оптимальных сроков проведения работ (облов прудов, сортировка рыбы), снижению отхода рыб (например, в результате механической аэрации или оксигенации при дефиците кислорода) и сокращению потерь корма (совершенствование методов кормления рыб). Результатом реализации этих целей должно быть повышение производительности труда.

Fermat's Last Theorem has been proved on the basis of school Physics, Mathematics, analytical Geometry. The main conceptions of the proof one can write on a math toy in the form of a wooden cube for children. Six faces of the cube are enough to deliver the main ideas of proof.

В данной статье излагается новое доказательство Великой теоремы Ферма. Современная математика дополняется новым материалом. Целью статьи является краткое, ясное и доступное для понимания доказательство этой теоремы Ферма, что послужит образованию и науке. В статье впервые вводится в математику знак «преобразование». В статье в доказательстве использована буква «с» как функция с тремя переменными a, b и углом α, и дана формула преобразования an и bn в cn: cn =bntg2α + bn, где an = bntg2α. Практическое значение статьи – помочь изучающим математику дополнить свои знания.

В данной статье излагается новое доказательство Великой теоремы Ферма. Современная математика дополняется новым материалом. Целью статьи является краткое, ясное и доступное для понимания доказательство этой теоремы Ферма, что послужит образованию и науке. В статье впервые вводится в математику знак «преобразование» /. В статье в доказательстве использована буква «с» как функция с тремя переменными a, b, углом α и дана формула преобразования an и bc в cn: cn = bntg2α + bn, где an = bn + tg2α. Практическое значение статьи – помочь изучающим математику дополнить свои знания.

The researcher of this article attempts to develop another Way to address the Fermat’s problem based on a different logical space, limited by other axioms, which have been described in the previous article of the author.

The author has obtained a formula for the evaluation of hardness flat externally, statically indeterminate girders. To obtain the General solution the researcher uses the method of induction and the operators of the computer algebra system Maple. The forces in the rods was found by using cut nodes method, deflection – using Maxwell – Mohr integral. The article has also derived the formula for the horizontal displacement of the support. Some asymptotic properties of the solution are found.

In this article an attempt is made to move away from the traditional consideration of the problems of the Farm. As the author notes the fallacy of the traditional approach is that if the mathematician-fan was able to formulate a statement as proven, then specially trained and well-trained people could have made it easily. And, if they couldn’t, then there was a gap in the science of mathematics. A different approach is required.

В данной статье рассматривается математическое наследие знаменитого ученого Леонарда Эйлера. В частности, авторы обращаются к анализу некоторых арифметических работ ученого: обсуждаются истоки и последствия научных изысканий Леонарда Эйлера в области арифметики.

The article analyzes current trends in the development of eco-farms and extrapolates the experimental methods of occupational health according to the specifics of agriculture. The authors develop a security system of rules and norms of behavior in the eco-farm, allowing not only to protect the staff from work-related injuries, but also to positively effect on business development.

В данной статье доказывается невозможность доказательства или опровержения знаменитой большой теоремы Ферма геометрическими методами.