Ray trajectories, binomial coefficients of a new type, and the binary system

Yurkin A.V.
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The paper describes a new algorithm of construction of the nonlinear arithmetic triangle on the basis of numerical simulation and the binary system. It demonstrates that the numbers that fill the nonlinear arithmetic triangle may be binomial coefficients of a new type. An analogy has been drawn with the binomial coefficients calculated with the use of the Pascal triangle. The paper provides a geometrical interpretation of binomials of different types in considering the branching systems of rays.

Keywords: nonlinear arithmetic triangle, binary system, binomial coefficients, branching systems of rays, lasers
Citation in English: Yurkin A.V. Ray trajectories, binomial coefficients of a new type, and the binary system // Computer Research and Modeling, 2010, vol. 2, no. 4, pp. 359-397
Citation in English: Yurkin A.V. Ray trajectories, binomial coefficients of a new type, and the binary system // Computer Research and Modeling, 2010, vol. 2, no. 4, pp. 359-397
DOI: 10.20537/2076-7633-2010-2-4-359-397
URL: http://crm-en.ics.org.ru/journal/article/1746/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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