These two programs look at ways to significantly improve performance of a recursive Fibonacci number generator in Python and Julia. This is a rather contrived example and there are better ways to ...

The first two terms are 1 and 1, and the third term, F3, is the sum of the first two terms, F1 and F2, which are 1. The fourth term, F4, is the sum of the first three terms, F1, F2 and F3, which are 1 ...

This is a preview. Log in through your library . Abstract C. H. Gibbons, M. R. S. Kulenovic and G. Ladas [1] have posed the following problem: Is there a solution of the difference equation: ${x_{n + ...

ABSTRACT: Difference equations or discrete dynamical systems is diverse field whose impact almost every branch of pure and ap- plied mathematics. Every dynamical system an+1=f(an) determines a ...

ABSTRACT: Difference equations or discrete dynamical systems is diverse field whose impact almost every branch of pure and ap- plied mathematics. Every dynamical system an+1=f(an) determines a ...

Recursion -- the computational capacity to embed elements within elements of the same kind -- has been lauded as the intellectual cornerstone of language, tool use and mathematics. A ...

Abstract: Consideration is given to the design and application of a recursive algorithm to a sequence of images of a moving object to estimate both its structure and kinematics. The object is assumed ...