Formulated new identities of fibonacci numbers with james abacus diagram

المجلة: Journal of Applied Science and Engineering

سنة النشر: 2022

تاريخ النشر: 2022-03-07

This paper focuses on developing a strategy to represent a new Fibonacci identities using James abacus. The idea of Graphical chain with respect to the beta numbers and abacus was established to count the number of ways to tile a James diagram chain inscribed in finite grid. Then, the idea of chain abacus and beta numbers were used to find new identities of Fibonacci number

Inequalities of Generalized Euclidean Berezin Number

المجلة: FilomatThis link is disabled.,

سنة النشر: 2022

تاريخ النشر: 2022-02-01

. In this paper, we present several Berezin number inequalities involving extensions of Euclidean Berezin number for n operators. Among other inequalities for (T1, . . . , Tn) ∈ B(H) we show that

A tile with nested chain abacus | البلاط باستخدام سلسلة متداخلة للمعداد

المجلة: Baghdad Science Journal

سنة النشر: 2022

تاريخ النشر: 2022-01-02

his study had succeeded in producing a new graphical representation of James abacus called nested chain abacus. Nested chain abacus providesa unique mathematical expression to encode each tile (image) using a partition theory where each form or shape of tile will be associated with exactly one partition.Furthermore, an algorithm of nested chain abacus movement will beconstructed,which can be applied in tiling theory