Results 11 to 20 of about 7,620,730 (87)

On complex Leonardo numbers

open access: yesNotes on Number Theory and Discrete Mathematics, 2022
In this study, we introduce the complex Leonardo numbers and give some of their properties including Binet formula, generating function, Cassini and d’Ocagne’s identities.
A. Karataş
semanticscholar   +1 more source

Continued fraction expansions for complex numbers - a general approach [PDF]

open access: yes, 2015
We introduce here a general framework for studying continued fraction expansions for complex numbers and establish some results on the convergence of the corresponding sequence of convergents. For continued fraction expansions with partial quotients in a
S. Dani
semanticscholar   +1 more source

detectIR: A Novel Program for Detecting Perfect and Imperfect Inverted Repeats Using Complex Numbers and Vector Calculation

open access: yesPLoS ONE, 2014
Inverted repeats are present in abundance in both prokaryotic and eukaryotic genomes and can form DNA secondary structures – hairpins and cruciforms that are involved in many important biological processes. Bioinformatics tools for efficient and accurate
Congting Ye, Guoli Ji, Lei Li, C. Liang
semanticscholar   +1 more source

Split-complex numbers and Dirac bra-kets

open access: yesCommunications in Information and Systems, 2014
We describe the real tessarines or \split-complex numbers" anddescribe a novel instance where they arise in biomedical informat-ics. We use the split-complex numbers to give a mathematical def-inition of a Hyperbolic Dirac Network (HDN) | a hyperbolic ...
S. Deckelman, B. Robson
semanticscholar   +1 more source

Certain Spaces of Functions over the Field of Non-Newtonian Complex Numbers

open access: yes, 2014
This paper is devoted to investigate some characteristic features of complex numbers and functions in terms of non-Newtonian calculus. Following Grossman and Katz, (Non-Newtonian Calculus, Lee Press, Piegon Cove, Massachusetts, 1972), we construct the ...
A. Cakmak, F. Başar
semanticscholar   +1 more source

DNR-Based Curricula: The Case of Complex Numbers

open access: yes, 2013
DNR is a research-based framework which seeks to understand fundamental problems of mathematics learning and teaching. This paper discusses DNR with a particular reference to a curricular unit on complex numbers.
G. Harel
semanticscholar   +1 more source

Home - About - Disclaimer - Privacy