Results 1 to 10 of about 498 (135)
Coherent optical interconnects using Fermat number transform and hollow core fibre [PDF]
Communications EngineeringWith the exponential growth of artificial intelligence-driven data centre traffic, next-generation data centre optical interconnects must deliver high-speed data transmission while ensuring low latency and power consumption.
Siyu Chen +12 more
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Design of Ultrasonic Synthetic Aperture Imaging Systems Based on a Non-Grid 2D Sparse Array [PDF]
Sensors, 2021 This work provides a guide to design ultrasonic synthetic aperture systems for non-grid two-dimensional sparse arrays such as spirals or annular segmented arrays.
Júlio Cesar Eduardo de Souza +3 more
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A network recovery strategy based on boundary nodes and tetrahedral approximation fermat points in three-dimensional wireless sensor networks [PDF]
Scientific ReportsWireless Sensor Networks (WSNs) have emerged as a critical research frontier in the Internet of Things (IoT) domain, with widespread applications in three-dimensional environments.
Bin Xu, Hongsheng Chen, Yanxu Cheng
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Fermat and Mersenne numbers in $k$-Pell sequence
Математичні Студії, 2021 For an integer $k\geq 2$, let $(P_n^{(k)})_{n\geq 2-k}$ be the $k$-generalized Pell sequence, which starts with $0,\ldots,0,1$ ($k$ terms) and each term afterwards is defined by the recurrence $ P_n^{(k)}=2P_{n-1}^{(k)}+P_{n-2}^{(k)}+\cdots +P_{n-k}^{(k)}
B. Normenyo, S. Rihane, A. Togbe
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Fermat $k$-Fibonacci and $k$-Lucas numbers [PDF]
Mathematica Bohemica, 2020 Using the lower bound of linear forms in logarithms of Matveev and the theory of continued fractions by means of a variation of a result of Dujella and Pethő, we find all $k$-Fibonacci and $k$-Lucas numbers which are Fermat numbers.
Jhon J. Bravo, Jose L. Herrera
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On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023 -circulant matrices have applied in numerical computation, signal processing, coding theory, etc. In this study, our main goal is to investigate the r-circulant matrices of generalized Fermat numbers which are shown by We obtain the eigenvalues ...
Engin Özkan, Engin Eser, Bahar Kuloǧlu
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Fermat Numbers and Mersenne Numbers [PDF]
Mathematics of Computation, 1964 This paper gives details of the computations made on an IBM 7090 computer to show that the Fermat number \(F_m = 2^{2^m} +1\) is composite for \(m=14\), and that all the Mersenne numbers \(M_p=2^p-1\) \((5000 < p < 6000)\) are composite. The method used to show that the Fermat number is composite was to compute \(3^{2^n}\) modulo \(F_m\).
Selfridge, J. L., Hurwitz, Alexander
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Fermat point based connectivity restoration strategy in networks
网络与信息安全学报, 2019 The connectivity restoration ensures the availability and reliability of a network. Both of geometrical features and topological structures should be taken into consideration at the same time, without which previous works can hardly restore the ...
ZHOU Zhaobin, WANG Xiaoding +1 more
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Estimation of Distributed Fermat-Point Location for Wireless Sensor Networking
Sensors, 2011 This work presents a localization scheme for use in wireless sensor networks (WSNs) that is based on a proposed connectivity-based RF localization strategy called the distributed Fermat-point location estimation algorithm (DFPLE).
Yanuarius Teofilus Larosa +3 more
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Factors of Generalized Fermat Numbers [PDF]
Mathematics of Computation, 1995 Generalized Fermat numbers have the form F b , m = b 2 m + 1 {F_ ...
Dubner, Harvey, Keller, Wilfrid
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