Recovering the polyhedral geometry of fragments. [PDF]
Török J, Domokos G.
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Wandering Drunkards Walk after Fibonacci Rabbits: How the Presence of Shared Market Opinions Modifies the Outcome of Uncertainty. [PDF]
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MUTE drives asymmetric divisions to form stomatal subsidiary cells in Crassulaceae succulents. [PDF]
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Localized modes and acoustic band gaps using different quasi-periodic structures based on closed and open resonators. [PDF]
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Searching permutations for constructing uniformly distributed point sets. [PDF]
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Electromagnetic Sculptor: a differentiable geometric optimization framework to manipulate electromagnetic fields. [PDF]
Yang K, Liu C, Yu W, Cui TJ.
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Parafermions in moiré minibands. [PDF]
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Performance analysis of Thue Morse acoustic resonators for noise reduction. [PDF]
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Quotients of Fibonacci Numbers
The American Mathematical Monthly, 2016AbstractThere have been many articles in the MONTHLY on quotient sets over the years. We take a first step here into the p-adic setting, which we hope will spur further research.
Stephan Ramon Garcia, Florian Luca
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Factorization of Fibonacci Numbers
The Fibonacci Quarterly, 1970The Fibonacci numbers \(F_n\) may be defined by \(F_0 = 0\), \(F_1= 1\), \(F_{n+1}=F_n +F_{n-1}\) for \(n \geq 1\). If \(F_z\) \(z>0\), is the smallest Fibonacci number divisible by the prime \(p\), then \(z =a(p)\) is defined as the entry point (or rank) of \(p\); moreover \(p\) divides \(F_n\) if and only if \(n\) is divisible by \(z(p)\).
Daykin, D. E., Dresel, L. A. G.
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