Matches in SemOpenAlex for { <https://semopenalex.org/work/W4380136703> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4380136703 abstract "The Fibonacci sequence (FS) possesses exceptional mathematical properties that have captivated mathematicians, scientists, and artists across centuries. Its intriguing nature lies in its profound connection to the golden ratio, as well as its prevalence in the natural world, exhibited through phenomena such as spiral galaxies, plant seeds, the arrangement of petals, and branching structures. This report delves into the fundamental characteristics of the FS, explores its relationship with the golden ratio using Linear Time Invariant (LTI) systems, and investigates its diverse applications in various fields. Approaching the topic from the standpoint of a digital signal processing instructor in a grade course, we depict the FS as the consequential outcome of an LTI system when subjected to the unit impulse function. This LTI system can be regarded as the original source from which one of the most renowned formulas in mathematics emerges, and its parametric definition, along with the associated systems, is intricately tied to the golden ratio, symbolized by the irrational number Phi. This perspective naturally elucidates the well-established intricate relationship between the FS and Phi. Furthermore, building upon this perspective, we showcase other LTI systems that exhibit the same magnitude in the frequency domain. These systems are characterized by either an impulse response or a difference equation, resulting in a comparable or equivalent FS in terms of absolute value. By exploring these connections, we shed light on the remarkable similarities and variations that arise within the FS under different LTI systems." @default.
- W4380136703 created "2023-06-10" @default.
- W4380136703 creator A5031204459 @default.
- W4380136703 date "2023-06-03" @default.
- W4380136703 modified "2023-09-24" @default.
- W4380136703 title "On the Fibonacci sequence and the Linear Time Invariant systems" @default.
- W4380136703 doi "https://doi.org/10.48550/arxiv.2306.05293" @default.
- W4380136703 hasPublicationYear "2023" @default.
- W4380136703 type Work @default.
- W4380136703 citedByCount "0" @default.
- W4380136703 crossrefType "posted-content" @default.
- W4380136703 hasAuthorship W4380136703A5031204459 @default.
- W4380136703 hasBestOaLocation W43801367031 @default.
- W4380136703 hasConcept C118615104 @default.
- W4380136703 hasConcept C134306372 @default.
- W4380136703 hasConcept C173734053 @default.
- W4380136703 hasConcept C18802822 @default.
- W4380136703 hasConcept C190470478 @default.
- W4380136703 hasConcept C202444582 @default.
- W4380136703 hasConcept C2524010 @default.
- W4380136703 hasConcept C33923547 @default.
- W4380136703 hasConcept C37914503 @default.
- W4380136703 hasConcept C41008148 @default.
- W4380136703 hasConcept C6802819 @default.
- W4380136703 hasConcept C72279823 @default.
- W4380136703 hasConcept C87698059 @default.
- W4380136703 hasConceptScore W4380136703C118615104 @default.
- W4380136703 hasConceptScore W4380136703C134306372 @default.
- W4380136703 hasConceptScore W4380136703C173734053 @default.
- W4380136703 hasConceptScore W4380136703C18802822 @default.
- W4380136703 hasConceptScore W4380136703C190470478 @default.
- W4380136703 hasConceptScore W4380136703C202444582 @default.
- W4380136703 hasConceptScore W4380136703C2524010 @default.
- W4380136703 hasConceptScore W4380136703C33923547 @default.
- W4380136703 hasConceptScore W4380136703C37914503 @default.
- W4380136703 hasConceptScore W4380136703C41008148 @default.
- W4380136703 hasConceptScore W4380136703C6802819 @default.
- W4380136703 hasConceptScore W4380136703C72279823 @default.
- W4380136703 hasConceptScore W4380136703C87698059 @default.
- W4380136703 hasLocation W43801367031 @default.
- W4380136703 hasOpenAccess W4380136703 @default.
- W4380136703 hasPrimaryLocation W43801367031 @default.
- W4380136703 hasRelatedWork W1966947787 @default.
- W4380136703 hasRelatedWork W1981909949 @default.
- W4380136703 hasRelatedWork W2002850650 @default.
- W4380136703 hasRelatedWork W2076912093 @default.
- W4380136703 hasRelatedWork W2088544526 @default.
- W4380136703 hasRelatedWork W2601471357 @default.
- W4380136703 hasRelatedWork W2767905351 @default.
- W4380136703 hasRelatedWork W2901496727 @default.
- W4380136703 hasRelatedWork W2904853713 @default.
- W4380136703 hasRelatedWork W3181599934 @default.
- W4380136703 isParatext "false" @default.
- W4380136703 isRetracted "false" @default.
- W4380136703 workType "article" @default.