Abstract: We study a general class of single linear recursions and the properties of their expansions by analyzing the structures of the recursions. We show that the expansions of a linear recursion ...

The idea of this paper is to approach linear orderings as generalized ordinals and to study how they are made from their initial segments. First we look at how the equality of two linear orderings can ...

A recursive method is a method defined in terms of itself. The general idea behind recursion is that a problem lends itself to a recursive solution if the problem can be broken down into a smaller ...

Abstract: Recursion is one of the most difficult programming topics for students. In this paper, an instructional method is proposed to enhance students' understanding of recursion tracing. The ...

The problem of stable computation by forward and backward recursion on three-term, linear, nonhomogeneous recursion relations is outlined. The backward recursive theory is applied to integrals ...

Linear recursion relations for the instanton corrections to the effective prepotential are derived for N=2 supersymmetric gauge theories with one hypermultiplet in the adjoint representation of SU(N) ...