alexander yurkin (6 résultats)

Taschenbuch. Etat : Neu. Neuware -The book is devoted to the geometrical description of narrow beams of light and other processes in long tubes. In this work the symmetric (symmetrically numbered) Pascal's triangle is described and the new evident model 'a nonlinear arithmetic parallelepiped', for the numerical description of 'binary rays system' and for an illustration of process of distribution of the branching system of paraxial (Gaussian) beams and wavy trajectories is offered. The offered new model can be useful to approximate and formal, but evident geometrical interpretation of processes of the movement of particles and waves in long pipes. It is possible to refer to such processes, for example, distribution of light in lasers, finding of a particle in infinitely deep potential hole (including new geometrical interpretation of a particle spin), laminar and turbulent flow of liquid in pipes, etc. A large number of drawings and schedules, and also tables with the numerical calculations executed in the Excel program are given in the book. The book is intended to all who is interested in new evident geometrical researches in the field of physics and optics.Books on Demand GmbH, Überseering 33, 22297 Hamburg 68 pp. Englisch.

Taschenbuch. Etat : Neu. Neuware -The book is devoted to research of distribution of light in narrow beams of light (including laser beams). Such approach corresponds to approach of the great Italian physicist and mathematician and Jesuit F.M. Grimaldi. As early as 17th century he was engaged in researches of narrow beams of light for clarification of the nature of light and discovered the phenomenon of light diffraction. Our calculations are based on consideration of binomial distributions. The correlation of distribution of rays and the system of numbers placed in the three-dimensional table, the nonlinear arithmetic pyramid is shown. Two types of nonlinear arithmetic triangles are considered. Communication with binary notation is shown. Results of numerical calculations of binomial distribution of the second (nonlinear) type for big power of binomial are given. The ray analog of wave model of light and Huygens-Fresnel's elementary waves on the basis of consideration of geometrical model is offered. Examples of possible application of our geometrical model in various areas are given. The book is intended for all who interested in novelties in mathematics, optics and other areas where geometrical models are used.Books on Demand GmbH, Überseering 33, 22297 Hamburg 88 pp. Englisch.

Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The book is devoted to the geometrical description of narrow beams of light and other processes in long tubes. In this work the symmetric (symmetrically numbered) Pascal's triangle is described and the new evident model 'a nonlinear arithmetic parallelepiped', for the numerical description of 'binary rays system' and for an illustration of process of distribution of the branching system of paraxial (Gaussian) beams and wavy trajectories is offered. The offered new model can be useful to approximate and formal, but evident geometrical interpretation of processes of the movement of particles and waves in long pipes. It is possible to refer to such processes, for example, distribution of light in lasers, finding of a particle in infinitely deep potential hole (including new geometrical interpretation of a particle spin), laminar and turbulent flow of liquid in pipes, etc. A large number of drawings and schedules, and also tables with the numerical calculations executed in the Excel program are given in the book. The book is intended to all who is interested in new evident geometrical researches in the field of physics and optics.

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book is devoted to the geometrical description of narrow beams of light and other processes in long tubes. In this work the symmetric (symmetrically numbered) Pascal's triangle is described and the new evident model 'a nonlinear arithmetic parallelepiped', for the numerical description of 'binary rays system' and for an illustration of process of distribution of the branching system of paraxial (Gaussian) beams and wavy trajectories is offered. The offered new model can be useful to approximate and formal, but evident geometrical interpretation of processes of the movement of particles and waves in long pipes. It is possible to refer to such processes, for example, distribution of light in lasers, finding of a particle in infinitely deep potential hole (including new geometrical interpretation of a particle spin), laminar and turbulent flow of liquid in pipes, etc. A large number of drawings and schedules, and also tables with the numerical calculations executed in the Excel program are given in the book. The book is intended to all who is interested in new evident geometrical researches in the field of physics and optics. 68 pp. Englisch.

Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The book is devoted to research of distribution of light in narrow beams of light (including laser beams). Such approach corresponds to approach of the great Italian physicist and mathematician and Jesuit F.M. Grimaldi. As early as 17th century he was engaged in researches of narrow beams of light for clarification of the nature of light and discovered the phenomenon of light diffraction. Our calculations are based on consideration of binomial distributions. The correlation of distribution of rays and the system of numbers placed in the three-dimensional table, the nonlinear arithmetic pyramid is shown. Two types of nonlinear arithmetic triangles are considered. Communication with binary notation is shown. Results of numerical calculations of binomial distribution of the second (nonlinear) type for big power of binomial are given. The ray analog of wave model of light and Huygens-Fresnel's elementary waves on the basis of consideration of geometrical model is offered. Examples of possible application of our geometrical model in various areas are given. The book is intended for all who interested in novelties in mathematics, optics and other areas where geometrical models are used.

Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The book is devoted to research of distribution of light in narrow beams of light (including laser beams). Such approach corresponds to approach of the great Italian physicist and mathematician and Jesuit F.M. Grimaldi. As early as 17th century he was engaged in researches of narrow beams of light for clarification of the nature of light and discovered the phenomenon of light diffraction. Our calculations are based on consideration of binomial distributions. The correlation of distribution of rays and the system of numbers placed in the three-dimensional table, the nonlinear arithmetic pyramid is shown. Two types of nonlinear arithmetic triangles are considered. Communication with binary notation is shown. Results of numerical calculations of binomial distribution of the second (nonlinear) type for big power of binomial are given. The ray analog of wave model of light and Huygens-Fresnel's elementary waves on the basis of consideration of geometrical model is offered. Examples of possible application of our geometrical model in various areas are given. The book is intended for all who interested in novelties in mathematics, optics and other areas where geometrical models are used. 88 pp. Englisch.