Pisano period codes

Towards a Prescriptive Theory of Dynamic Capabilities: Connecting Strategic Choice, Learning, and Competition

Fibonacci q-gaussian sequences

The summation formula within Pascal triangle resulting in the Fi-bonacci sequence is extended to the q-binomial coefficients q-Gaussian triangles [1, 2]. 1 Pisa historical remark The Fibonacci sequence origin is attributed and referred to the first edition (lost) of " Fiber abaci " (1202) by Leonardo Fibonacci [Pisano] (see second edition from 1228 reproduced as Il Liber Abaci di Leonardo Pisan...

Information on Combinatorial Interpretation of Fibonomial Coefficients

The Fibonacci sequence origin is attributed and referred to the first edition (lost) of “Liber abaci” (1202) by Leonardo Fibonacci [Pisano] (see second edition from 1228 reproduced as Il Liber Abaci di Leonardo Pisano publicato secondo la lezione Codice Maglibeciano by Baldassarre Boncompagni in Scritti di Leonardo Pisano vol. 1, (1857) Rome). Very recently [1, 2] Fibonomial coefficients [–5] h...

Near optimal single-track Gray codes

Single-track Gray codes are a special class of Gray codes which have advantages over conventional Gray codes in certain quantization and coding applications. The problem of constructing high period single-track Gray codes is considered. Three iterative constructions are given, along with a heuristic method for obtaining good seed-codes. In combination, these yield many families of very high per...

Second Order Sliding Modes: Theory and Applications PHD Thesis