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Analysis of quadratic diophantine equations with fibonacci number solutions
, 2004An analysis is made of the role of Fibonacci numbers in some quadratic Diophantine equations. A general solution is obtained for finding factors in sums of Fibonacci numbers. Interpretation of the results is facilitated by the use of a modular ring which
J. Leyendekkers, A. Shannon
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Applications of Fibonacci numbers
The Mathematical Gazette, 1979One card up the sleeve of many a teacher of mathematics involves the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34,…, in which each number is the sum of the preceding two. These numbers and the closely related golden ratio (√5 − 1):2 have intriguing geometric and algebraic properties and appear mysteriously in nature ([1], 160-172).
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On special spacelike hybrid numbers with Fibonacci divisor number components
Indian journal of pure and applied mathematics, 2022Can Kızılateş, Tiekoro Kone
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Fibonacci numbers and trigonometry
The Mathematical Gazette, 2004This article started life as an investigation into certain aspects of the Fibonacci numbers, ‘morphed’ seamlessly into the structure of some infinite matrices and finally resolved into a general set of results that link structural aspects of Fibonacci numbers with trigonometric and hyperbolic functions.
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Applications of Fibonacci Numbers
Mathematics of Computation, 1989Andreas N. Philippou +3 more
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Fibonacci Numbers and Geometry
2002Suppose we take a unit segment AB (see Figure 2) and want to break it into two pieces in such a way that the greater part is the mean proportional between the smaller part and the whole segment.
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1997
Consider the following number trick–try it out on your friends. You ask them to write down the numbers from 0 to 9. Against 0 and 1 they write any two numbers (we suggest two fairly small positive integers just to avoid tedious arithmetic, but all participants should write the same pair of numbers).
Peter Hilton +2 more
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Consider the following number trick–try it out on your friends. You ask them to write down the numbers from 0 to 9. Against 0 and 1 they write any two numbers (we suggest two fairly small positive integers just to avoid tedious arithmetic, but all participants should write the same pair of numbers).
Peter Hilton +2 more
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1988
The problems discussed in this paper arise from the theory of group presentations. In this section, we give a brief review of this subject, or, at least, those aspects of it which are relevant to the present paper. In the remaining sections we discuss links, occurring in our work over a number of years, between this topic and the Fibonacci and Lucas ...
Colin Campbell +2 more
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The problems discussed in this paper arise from the theory of group presentations. In this section, we give a brief review of this subject, or, at least, those aspects of it which are relevant to the present paper. In the remaining sections we discuss links, occurring in our work over a number of years, between this topic and the Fibonacci and Lucas ...
Colin Campbell +2 more
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