The explicit terms III: upper bound
An explicit upper bound for the Helfgott delta in SL(2,p)
... 1 INTRODUCTION 3 or x, they all produce a value of δ which is at least log(3)/5 ≈ 0.3169. We start by making some basic but useful observations in Sections 2 and 3. In particular we show that for a subset S = H ∪ {x ±1 } ...
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Upper Bound Approximations for BlockMaxWand
... query terms that must be matched for the next document to be retrieved, based on upper bounds of the scores of the query terms, and the score of the current K-th ranked ...
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We find an explicit bound, in terms of g when it is even, for the largest element of an aliquot cycle of repdigits to base g.
... In this section, we set out some preliminary lemmas which are needed in the proof of Theorem 1. Of particular importance are Lemma 12 and Lemma 15, which are explicit forms of lemmas of Luca and Pollack. Lemma 2 ...
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On a numerical upper bound for the extended Goldbach conjecture
... #{p ∈ P : p ≤ n} = π(x) ∼ x log x . The main aim of sieve theory is to decompose #A ≤N as the sum of a main term X and an error term R, such that X dominates R for large N . We can then obtain an asymptotic formula for ...
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UPPER BOUND ON SURFACE MEASURE OF NODAL SETS
... degree terms are not quite geometric in the same sense and at this time of writing the geometric radius has not been related to the maximal domain in which ∆ g extends ...
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The importance of being the upper bound in the bivariate family.
... and upper bounds. We illustrate the importance of the upper bound in several ...in terms of this bound, which is implicit in logit analysis and the Lorenz curve, and can be used in ...
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A bound for s-distance permutation families and explicit Ramsey graphs
... an upper bound for the size of any s-distance family of ...an explicit construction which produces for every integer m > 1 a graph on at least m (1+ o(1)) 2 9 log log m log m vertices containing ...
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2 Proof of Theorem 5 — the upper bound for kites
... (ii) a neighbour ¯ u of degree ≥ 10, and the edge ¯uv is incident with two 3-faces; or (iii) a 4-face α incident only with 5-vertices. The vertex v receives a charge ≥ 1 besides the case that v is incident with ...
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Upper Bound Analysis and Routing in Optical Benes Networks
... in terms of the number of wavelength; but in terms of the running time, Genetic Algorithms performs the worst while Simulated Annealing provides the best ...
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An Upper Bound Approach for Analysis of Hydroforming of Sheet Metals
... u (12) Now, this velocity field can be applied to hydroforming of three-dimensional parts with arbitrary shapes, if surface of the punch is described in the analytic form. When the reference axis (θ=0) of the punch shape ...
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An upper bound for the Z spectral radius of adjacency tensors
... Abstract Let H be a k-uniform hypergraph on n vertices with degree sequence = d 1 ≥ · · · ≥ d n = δ . In this paper, in terms of degree d i , we give a new upper bound for the Z-spectral radius of ...
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Rigorous upper bound on the critical temperature of dilute Bose gases
... We always work in finite volume Λ. The existence of the thermodynamic limit for the pressure, density and reduced density matrix is far from trivial. In particular, the limit for the latter has only been proved when z is ...
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An explicit bound on " for nonemptiness of " cores of games
... Two results, using di®erent notions of distance to describe nearly e®ective small groups, are established. Our Theorem uses the same notion of distance as in our prior work (Kovalenkov and Wooders (1997a,b)). Corollary 2 ...
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On an upper bound for Sherman’s inequality
... Full list of author information is available at the end of the article Abstract Considering a weighted relation of majorization, Sherman obtained a useful generalization of the classical majorization inequality. The aim ...
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An Estimate of an Upper Bound for the Entropy of English
... We present an estimate of an upper bound of 1.75 bits for the entropy of characters in printed English, obtained by constructing a word trigram model and then computing the cross[r] ...
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A Probabilistic Upper Bound on Differential Entropy
... To illustrate what such a distribution looks like, one can imagine a loose string threaded between each pair of pegs placed at the gh and mzh , as in Figure 2. When the ends are pulled tight, the string traces out a ...
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An explicit bound on epsilon for nonemptiness of Epsilon-cores of games
... Two results, using di®erent notions of distance to describe nearly e®ective small groups, are established. Our Theorem uses the same notion of distance as in our prior work (Kovalenkov and Wooders (1997a,b)). Corollary 2 ...
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An upper bound for the norm of a GCD related matrix
... Ligh, Matrices associated with classes of arithmetical functions , Journal of Number Theory 45 (1993), no.. Haukkanen, On the p norm of GCD and related matrices , JIPAM.[r] ...
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An upper and lower bound of the Medication Possession Ratio
... an upper and lower bound of the MPR trend is developed with an upper bound acknowledging patients who change their treatment and the lower bound acknowledging patients who discontinue ...
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An Upper Bound on the First Zagreb Index in Trees
... Kovijani ć Vuki ć evi ć and Popivoda [9] proved the following upper bound on the first Zagreb index of chemical trees and characterized all extreme chemical trees.. In this pap[r] ...
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