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Discrete Mathematics and Theoretical Computer Science DMTCS vol. 18:2, 2016, #7 Packing densities of layered permutations and the minimum number of monotone sequences in layered permutations ...
not worse than 1/n . Keywords: Wallis formula, number π , monotone sequence . In this paper, we consider the factorial quotients 1· 3· 5· ... · (2n − 1) 2· 4· 6· ... · (2n) directly related to the Wallis ...
Area number x is called k‐ monotonically computable (k‐mc), for constant k > 0, if there is a computable sequence (xn)n ∈ ℕ of rational numbers which converges to x such that the convergence is k ...
first review some necessary and important con- cepts. Let {z } be a number -theoretic or combinatorial sequence of positive numbers . It is n n≥0 called (strictly) ratio monotonic if the sequence {z /z ...
Journal of Mathematical Inequalities Volume 10, Number 2 (2016), 541–550 doi:10.7153/jmi-10-42 THE LOG–CONVEXITY OF GENOCCHI NUMBERS AND THE MONOTONICITY OF SOME SEQUENCES RELATED TO GENOCCHI ...
NOT A PSEUDOFUNDAMENTAL SEQUENCE THAT IS EQUIVALENT TO ANY MONOTONE SEQUENCE * G. S. Tseitin We call an algorithm that transforms every natural number ihto a rational (natural) number a sequence ...
Abstract In 2012, Zhi-Wei Sun posed many conjectures about the monotonicity of sequences of form \(\{ \sqrt[n]{{z_n }}\} \), where {z n } is a familiar number -theoretic or combinatorial sequence . We ...
for the relative entropy valid for generic discrete random structures, recently formulated by Squartini and Garlaschelli, is used to prove that the relative entropy is monotone in the number of constraints when ...
Let h : ℕ → ℚ be a computable function. A real number x is called h‐ monotonically computable (h‐mc, for short) if there is a computable sequence (xs) of rational numbers which converges to x h ...
into monotone sequences of transpositions, with each sequence weighted by a monomial in $t = 1 - \frac{N}{M}$. This gives rise to the desired polynomials, which specialise to the monotone Hurwitz numbers when $t ...
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