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Showing 1 to 8 of 8 for “"Lehmer"”.
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THE EFFECTIVE SATO-TATE CONJECTURE AND DENSITIES PERTAINING TO LEHMER-TYPE QUESTIONS
We prove a completely explicit version of the Sato-Tate Conjecture for newforms f(z) on Gamma_0(N) with squarefree level. This result assumes that the symmetric power L-functions of f(z) are automorphic and satisfy the Generalized Riemann Hypothesis. We use this result to compute the density of …
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A Hybrid Lehmer Code Genetic Algorithm and Its Application on Traveling Salesman Problems
… problems.</p> <p>This research proposed a hybrid Lehmer code Genetic Algorithm. To compensate for the weaknesses of traditional genetic algorithms in exploitation while not hampering its ability in exploration, this new genetic algorithm will combine genetic algorithm with 2-opt and non-sequential …
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A Statistical Evaluation of Algorithms for Independently Seeding Pseudo-Random Number Generators of Type Multiplicative Congruential (Lehmer-Class).
<p>To be effective, a linear congruential random number generator (LCG) should produce values that are (a) uniformly distributed on the unit interval (0,1) excluding endpoints and (b) substantially free of serial correlation. It has been found that many statistical methods produce inflated Type I …
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Nonexistence of Solutions to Certain Families of Diophantine Equations
… tools such as Diophantine approximations, Lehmer numbers, the modular approach, and earlier results proved using linear forms in logarithms. In particular, I prove the following three theorems.</p> <p>Main Theorem I. Let a, b, c, k ∈ Z+ with k ≥ 7. Then the equation</p> <p>(a^2cX^k − …
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Iterates of functions defined in terms of digital representations of the integers
… and heuristic arguments on a problem of D.H. Lehmer asking whether every sequence obtained by this process contains a palindrome.
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The Formation and Evolution of Habitable Worlds
The next generation of ground- and space-based telescopes will probe the atmospheres, and possibly the surfaces, of Earth-sized planets in the habitable zone (HZ). However, observing time will be both expensive and limited making it essential to target only the most promising planet candidates in …
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System simulation using digital stochastic computing structures.
… used in these simulations is based on the Lehmer Congruence method and a detailed account of its properties is given with particular reference to the ELLIOT 4120 digital computer for which the software was written. The stochastic operators simulated include the negator, summer, multiplier, …
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“You’ve got to own your depression” The role of ownership in the process of depression recovery: A qualitative exploration of the visual-verbal accounts of depression recovery utilising photography
… Begun et al., 2003; Chamberlain et al., 1984; Lehmer, 1986) and not conclusively understood (Magavi, Reti, & Vas, 2017; Kennard et al., 2006; March et al., 2004) in the sense that no single treatment works for all people with depression and the rates of the effectiveness varies, as too are the …