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math.HO2008★ 1 cited
A Mathematical Approach to the Plato's Problem
Luiz Bevilacqua, Adilson J. V. Brandao, Rodney Bassanezi
Maybe the first inverse problem presented in the history of the occidental thought is described in the book Republic, written by Plato. The problem is posed in the Book VII in a te…
math.HO2008★ 1 cited
Recurrence Formulas for Fibonacci Sums
Adilson J. V. Brandao, Joao L. Martins
In this article we present a new recurrence formula for a finite sum involving the Fibonacci sequence. Furthermore, we state an algorithm to compute the sum of a power series relat…