Circular words and applications
نویسندگان
چکیده
We define the notion of circular words, then consider on such words a constraint derived from the Fibonacci condition. We give several results on the structure of these circular words, then mention possible applications to various situations: periodic expansion of numbers in numeration systems, “gcd-property” of integer sequences, partition of the prefix of the fixed point of the Fibonacci substitution, spanning trees of a wheel. Eventually, we mention some open questions.
منابع مشابه
Compact CPW-fed Circular Patch Antenna for UWB Applications
In this paper, a novel CPW-fed antenna is presented for UWB applications. The antenna mainly comprises of a simple circular patch and a modified ground plane. The inclusion of two novel symmetrical rectangular slots with inner area of 3×2.8 mm2 to the top corners of the antenna creates a new path for the current and consequently leads to the bandwidth enhancement. A rectangular stub is also ado...
متن کاملA Small Printed Quadrifilar Helical Antenna for BGAN/GPS Applications
This paper presents an element of a 2×2-element array antenna for Inmarsat BGAN/GPS applications. The element is an axial mode printed quadrifilar helical antenna that has been integrated with a compact feed network to provide sequential phase rotation for circular polarization (CP) radiation. The novel integrated lumped-element feed network is designed to provide a balanced RF power to the fou...
متن کاملComparison of Different Targets Used in Augmented Reality Applications in Ubiquitous GIS
Drilling requires accurate information about locations of underground infrastructures or it can cause serious damages. Augmented Reality (AR) as a technology in Ubiquitous GIS (UBIGIS) can be used to visualize underground infrastructures on smartphones. Since smartphone’s sensors do not provide such accuracy, another approaches should be applied. Vision based computer vision systems are well kn...
متن کاملCPW-Fed Circularly Polarized Slot ANTENNA with Elliptical-Shaped Patch for UWB Applications
A new design of coplanar waveguide (CPW)-fed antenna with circular polarization (CP) and excellent impedance matching is presented. In this design a pair of circular-shaped slits is applied to opposite corners of the slot for enhancing the impedance matching and realizes bandwidth of 134.43% across 2.98-15.20 GHz for VSWR≤2. Furthermore this structure exhibits axial ration bandwidth (ARBW) of 3...
متن کاملCircular words and three applications: factors of the Fibonacci word, F-adic numbers, and the sequence 1, 5, 16, 45, 121, 320,..
We introduce the notion of circular words with a combinatorial constraint derived from the Zeckendorf (Fibonacci) numeration system, and get explicit group structures for these words. As a first application, we give a new result on factors of the Fibonacci word abaababaabaab . . .. Second, we present an expression of the sequence A004146 of [S] in terms of a product of expressions involving roo...
متن کامل