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An application of Fibonacci sequences in groups
Applied Mathematics and Computation, 2003In this work, we have proved that, for the 3-step general Fibonacci recurrence and any finite p-group of exponent p and nilpotency class 2, the length of a fundamental period of any loop satisfying the recurrence must divide the period of the ordinary 3-step general Fibonacci sequence in the field GF(p).
Dikici, R, Ozkan, E
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The Fibonacci Sequence and Poetry
Math Horizons, 2018AbstractThe Fibonacci sequence is the familiar progression 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, … that begins with two 1s and thereafter each term is the sum of the previous two. Its mathematical properties and appearances in nature are well documented. Less well known is its application to poetry.
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2011
In 1202, Leonardo of Pisa, also called Fibonacci, published a book which popularized in Europe the Indian decimal number system that had also been adopted by Arab mathematicians. Among the many examples given in the book, one refers to the growth of a population of rabbits.
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In 1202, Leonardo of Pisa, also called Fibonacci, published a book which popularized in Europe the Indian decimal number system that had also been adopted by Arab mathematicians. Among the many examples given in the book, one refers to the growth of a population of rabbits.
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The Mathematics Teacher, 1981