Results 51 to 60 of about 537 (169)
Diophantine tuples and product sets in shifted powers
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
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Factors of generalized Fermat numbers [PDF]
Mathematics of Computation, 1998 A search for prime factors of the generalized Fermat numbers F n ( a , b ) = a 2 n + b 2 n ...
Björn, Anders, Riesel, Hans
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Microconcentrator Solar Panel Architectures Achieving High Specific Power for Deep Space Missions
Solar RRL, Volume 10, Issue 4, 26 February 2026.Microconcentrator photovoltaics (microCPV) are emerging as a promising solution for powering spacecraft in deep space, where conventional solar arrays are challenged by extremely low‐intensity, low‐temperature conditions. This work presents the design, development, and characterization of two optical architectures aiming at maximizing specific power (W/
Guido Vallerotto +8 more
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Monte Carlo Tree Search Algorithm for the Euclidean Steiner Tree Problem
Journal of Telecommunications and Information Technology, 2017 This study is concerned with a novel Monte Carlo Tree Search algorithm for the problem of minimal Euclidean Steiner tree on a plane. Given p p p points (terminals) on a plane, the goal is to find a connection between all the points, so that the total sum
Michał Bereta
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Innovative Approaches to Modelling and Forecasting in Fisheries: A Critical Review
Aquaculture, Fish and Fisheries, Volume 6, Issue 1, February 2026.ABSTRACT Fisheries management increasingly demands robust forecasting tools to address growing environmental variability, anthropogenic pressures and complex ecological dynamics. This review systematically examines innovative modelling and forecasting approaches in fisheries, focusing on their descriptions, applications, strengths and limitations and ...
Mohammad Abu Baker Siddique +5 more
wiley +1 more source
Moments, Exponential Sums, and Monodromy Groups
Forum of Mathematics, SigmaWe determine the geometric monodromy groups attached to various families, both one-parameter and multi-parameter, of exponential sums over finite fields, or, more precisely, the geometric monodromy groups of the $\ell $ -adic local systems on ...
Nicholas M. Katz, Pham Huu Tiep
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A Note Concerning Fermat Numbers [PDF]
, 2021 The Fermat’s Numbers are clearly all of the form 6n + 5, with one exception to this rule. This paper presents a general formula, showing the structure of Fermat numbers.
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Elastic Fast Marching Learning from Demonstration
Advanced Intelligent Systems, Volume 8, Issue 2, February 2026.This article presents Elastic Fast Marching Learning (EFML), a novel approach for learning from demonstration that combines velocity‐based planning with elastic optimization. EFML enables smooth, precise, and adaptable robot trajectories in both position and orientation spaces.
Adrian Prados +3 more
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Nearly 180° Field‐of‐View Metalens for Miniaturized Imaging Systems
Laser &Photonics Reviews, Volume 20, Issue 3, 5 February 2026.A compact, single‐layer metalens is developed with an ultra‐wide field of view of ≈180 degrees. Utilizing a unique quadratic phase profile, this metalens overcomes traditional issues like axial and color dispersion. It operates across red, green, and blue wavelengths with non‐polarized light, promising enhanced imaging capabilities for integration into
Azhar Javed Satti +9 more
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On the Electromagnetic Energy Flow Along Geodesics
Radio Science, Volume 61, Issue 1, January 2026.Abstract We present a field‐theoretic framework for modeling electromagnetic energy propagation in heterogeneous media by introducing the concept of electromagnetic geodesics. Unlike traditional ray optics, which assumes either a straight‐line propagation or a simple bending in refractive media, our approach formulates wave propagation as geodetic ...
Jacob T. Fokkema, Peter M. van den Berg
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