Generalized metallic means

JB Gil, A Worley - The Fibonacci Quarterly, 2019 - Taylor & Francis
The metallic means (also known as metallic ratios) may be defined as the limiting ratio of
consecutives terms of sequences connected to the Fibonacci sequence via the invert …

Reinhart Heinrich: In memoriam of an exceptional scholar

S Schuster - Biosystems, 2023 - Elsevier
Abstract In the Mathematical Biology community, Reinhart Heinrich (1946–2006) is well-
known as one of the founders of Metabolic Control Analysis. Moreover, he made significant …

[PDF][PDF] Relation between Terms of Sequences and Integral Powers of Metallic Ratios

R Sivaraman - Turkish Journal of Physiotherapy and …, 2021 - researchgate.net
Among several interesting sequences that occur in mathematics, sequences whose
successive terms converging to specific numbers called metallic ratios are very special …

[PDF][PDF] Exploring metallic ratios

R Sivaraman - Mathematics and Statistics, 2020 - researchgate.net
Huge amount of literature has been written and published about Golden Ratio, but not many
had heard about its generalized version called Metallic Ratios, which are introduced in this …

Bridging reliability to efficiency consecutive elegant and simple design

V Beiu, SH Hoară, RM Beiu - International Conference on Computers …, 2022 - Springer
An acute problem when moving into the few nanometers highly advanced CMOS
technologies is represented by the inexorable cost-yield balance, lately clearly tilted by the …

The plastic number and its generalized polynomial

V Iliopoulos - Cogent Mathematics, 2015 - Taylor & Francis
The polynomial X 3-X-1 has a unique positive root known as plastic number, which is
denoted by ρ and is approximately equal to 1.32471795. In this note, we study the zeroes of …

[HTML][HTML] Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents

J Peltomäki - European Journal of Combinatorics, 2024 - Elsevier
Regular episturmian words are episturmian words whose directive words have a regular
and restricted form making them behave more like Sturmian words than general episturmian …

[PDF][PDF] Pascal triangle and Pythagorean triples

R Sivaraman - International Journal of Engineering Technologies …, 2021 - researchgate.net
Similarly, the idea of Pythagorean triples prevailing for more than two millennia continue to
surprise even today with its abundant properties and generalizations. In this paper, I have …

[PDF][PDF] Number Triangles and Metallic Ratios

R Sivaraman - International Journal of Engineering and Computer …, 2021 - academia.edu
Ever since the concept of Fibonacci sequence came in to existence, people tried to
generalize it in as many ways as possible. This paper considers one such generalization …

[HTML][HTML] Rich square-free words

J Vesti - Theoretical Computer Science, 2017 - Elsevier
A word w is rich if it has| w|+ 1 distinct palindromic factors, including the empty word. A word
is square-free if it does not have a factor uu, where u is a non-empty word. Pelantová and …