The hyperbolic-type k-Fibonacci sequences and their applications

Fibonacci Polytopes and Their Applications

A Fibonacci d-polytope of order k is defined as the convex hull of {0, 1}-vectors with d entries and no consecutive k ones, where k ≤ d. We show that these vertices can be partitioned into k subsets such that the convex hull of the subsets give the equivalent of Fibonacci (d− i)polytopes, for i = 1, . . . , k, which yields a “Fibonacci like” recursive formula to enumerate the vertices. Surprisi...

the investigation of the relationship between type a and type b personalities and quality of translation

چکیده ندارد.

Toeplitz transforms of Fibonacci sequences

We introduce a matricial Toeplitz transform and prove that the Toeplitz transform of a second order recurrence sequence is another second order recurrence sequence. We investigate the injectivity of this transform and show how this distinguishes the Fibonacci sequence among other recurrence sequences. We then obtain new Fibonacci identities as an application of our transform.

Hyperbolic metamaterials and their applications

This review aims at providing a comprehensive and updated picture of the field of hyperbolic metamaterials, from the foundations to the most recent progresses and future perspectives. The topics discussed embrace theoretical aspects, practical realization and key challenges for applications such as imaging, spontaneous emission engineering, thermal, active and tunable hyperbolic media. & 2014 E...

The Polytopic-k-Step Fibonacci Sequences in Finite Groups