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... 1. Introduction In his well–known book “Gödel, Escher, Bach: An Eternal Golden Braid,” D. R. Hofstadter [9] introduces several recurrences which give rise to particularly intriguing integer sequences. Mention, for instance, the famous Hofstadter’s Q–sequence (also known as MetaFibonacci sequence [6 ...
... 1. Introduction In his well–known book “Gödel, Escher, Bach: An Eternal Golden Braid,” D. R. Hofstadter [9] introduces several recurrences which give rise to particularly intriguing integer sequences. Mention, for instance, the famous Hofstadter’s Q–sequence (also known as MetaFibonacci sequence [6 ...
NORMALITY OF NUMBERS GENERATED BY THE VALUES OF
... is normal in base 10. These examples correspond to the choice f (x) = x in (1.1). Davenport and Erdös [5] considered the case where f (x) is a polynomial whose values at x = 1, 2, . . . are always integers and showed that in this case the numbers θq (f ) and τq (f ) are normal. For f (x) a polynomi ...
... is normal in base 10. These examples correspond to the choice f (x) = x in (1.1). Davenport and Erdös [5] considered the case where f (x) is a polynomial whose values at x = 1, 2, . . . are always integers and showed that in this case the numbers θq (f ) and τq (f ) are normal. For f (x) a polynomi ...
14(4)
... Our purpose in this paper is to generalize the notion of Fibonacci representations in such a way as to provide for a natural algebraic and geometric setting for their analysis. In this way many known results are unified and simplified and new results are obtained. Some of the results extend to Fibon ...
... Our purpose in this paper is to generalize the notion of Fibonacci representations in such a way as to provide for a natural algebraic and geometric setting for their analysis. In this way many known results are unified and simplified and new results are obtained. Some of the results extend to Fibon ...
Mathematics of radio engineering
The mathematics of radio engineering is the mathematical description by complex analysis of the electromagnetic theory applied to radio. Waves have been studied since ancient times and many different techniques have developed of which the most useful idea is the superposition principle which apply to radio waves. The Huygen's principle, which says that each wavefront creates an infinite number of new wavefronts that can be added, is the base for this analysis.