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Entropy, Periodicity and the Probability of Primality [PDF]
EntropyThe distribution of prime numbers has long been viewed as a balance between order and randomness. In this work, we investigate the relationship between entropy, periodicity, and primality through the computational framework of the binary derivative.
Grenville J. Croll
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The Lower Limit of Pitch Perception for Pure Tones and Low-Frequency Complex Sounds
Archives of Acoustics, 2021 The lower limit of pitch (LLP) perception was explored for pure tones, sinusoidally amplitude-modulated (SAM) tones with a carrier frequency of 125 Hz, and trains of 125-Hz tone pips, using an adaptive procedure to estimate the lowest repetition rate for
Carlos JURADO +2 more
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On Weak Solvability of Boundary Value Problem with Variable Exponent Arising in Nanostructure
Journal of Function Spaces, 2021 This work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on ε.
Hicham Maadan +2 more
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Dynamics and Collapse in a Power System Model with Voltage Variation: The Damping Effect. [PDF]
PLoS ONE, 2016 Complex nonlinear phenomena are investigated in a basic power system model of the single-machine-infinite-bus (SMIB) with a synchronous generator modeled by a classical third-order differential equation including both angle dynamics and voltage dynamics,
Jinpeng Ma +4 more
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Fractional magnetoresistance oscillations in spin-triplet superconducting rings
Communications Physics, 2023 Half-quantum vortices in spin-triplet superconductors are predicted to host Majorana zero modes and may provide a viable platform for topological quantum computation. Recent works also suggested that, in thin mesoscopic rings, the superconducting pairing
Gábor B. Halász
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Emergent periodicity in the collective synchronous flashing of fireflies
eLife, 2023 In isolation from their peers, Photinus carolinus fireflies flash with no intrinsic period between successive bursts. Yet, when congregating into large mating swarms, these fireflies transition into predictability, synchronizing with their neighbors with
Raphael Sarfati +5 more
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Asymptotically almost periodic solutions of limit and almost periodic linear difference systems
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite ...
Martin Chvátal
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Limit periodic linear difference systems with coefficient matrices from commutative groups
Electronic Journal of Qualitative Theory of Differential Equations, 2014 In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group.
Petr Hasil, Michal Veselý
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Electronic Journal of Qualitative Theory of Differential Equations, 2015 We study limit periodic and almost periodic homogeneous linear difference systems. The coefficient matrices of the considered systems are taken from a given commutative group.
Martin Chvátal
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A contraction approach to dynamic optimization problems.
PLoS ONE, 2021 An infinite-horizon, multidimensional optimization problem with arbitrary yet finite periodicity in discrete time is considered. The problem can be posed as a set of coupled equations.
Leif K Sandal +3 more
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