An upper bound for the number of solutions of ternary purely exponential diophantine equations
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2017.07.004
Abstract: Abstract Let a , b , c be fixed coprime positive integers with min { a , b , c } > 1 . In this paper, combining the Gel'fond–Baker method with an elementary… read more here.
Keywords: bound number; solutions ternary; number; upper bound ... See more keywords
Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics
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DOI: 10.1088/1361-6544/ab7d1f
Abstract: An eigenvalue problem for Maxwell's equations with anisotropic cubic nonlinearity is studied. The problem describes propagation of transverse magnetic waves in a dielectric layer filled with (nonlinear) anisotropic Kerr medium. The nonlinearity involves two non-negative… read more here.
Keywords: nonlinear eigenvalue; finite number; eigenvalue problem; number solutions ... See more keywords
Counting the number of solutions in satisfiability problems with tensor-network message passing.
Sign Up to like & getrecommendations! Published in 2024 at "Physical review. E"
DOI: 10.1103/physreve.110.034126
Abstract: We investigate how to count the number of solutions in the Boolean satisfiability (SAT) problem, a fundamental problem in theoretical computer science that has applications in various domains. We convert the problem to a spin-glass… read more here.
Keywords: message passing; problem; number solutions; tensor network ... See more keywords