Results 41 to 50 of about 307,506 (317)
On the noise sensitivity of monotone functions [PDF]
Random Structures & Algorithms, 2002 AbstractIt is known that for all monotone functions f : {0, 1}n → {0, 1}, if x ∈ {0, 1}n is chosen uniformly at random and y is obtained from x by flipping each of the bits of x independently with probability ϵ = n−α, then P[f(x) ≠ f(y)] < cn−α+1/2, for some c > 0.Previously, the best construction of monotone functions satisfying P[fn(x) ≠ fn(y)]
Mossel, Elchanan, O'Donnell, Ryan
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On the inevitability of the consistency operator
, 2019 We examine recursive monotonic functions on the Lindenbaum algebra of $\mathsf{EA}$. We prove that no such function sends every consistent $\varphi$ to a sentence with deductive strength strictly between $\varphi$ and $(\varphi\wedge\mathsf{Con}(\varphi))
Montalbán, Antonio, Walsh, James
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RG flows, cycles, and c-theorem folklore
, 2011 Monotonic renormalization group flows of the "c" and "a" functions are often cited as reasons why cyclic or chaotic coupling trajectories cannot occur. It is argued here, based on simple examples, that this is not necessarily true. Simultaneous monotonic
A. B Zamolodchikov +3 more
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On rational bounds for the gamma function
Journal of Inequalities and Applications, 2017 In the article, we prove that the double inequality x 2 + p 0 x + p 0 < Γ ( x + 1 ) < x 2 + 9 / 5 x + 9 / 5 $$ \frac{x^{2}+p_{0}}{x+p_{0}}< \Gamma(x+1)< \frac{x^{2}+9/5}{x+9/5} $$ holds for all x ∈ ( 0 , 1 ) $x\in(0, 1)$ , we present the best possible ...
Zhen-Hang Yang +3 more
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On the Laplace transform of absolutely monotonic functions
, 2016 We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function.
Koumandos, Stamatis, Pedersen, Henrik L.
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Inequalities, asymptotic expansions and completely monotonic functions related to the gamma function [PDF]
, 2014 In this paper, we present some completely monotonic functions and asymptotic expansions related to the gamma function. Based on the obtained expansions, we provide new bounds for Γ(x + 1)/Γ(x + 1/2) and Γ(x + 1/2)
Chen, Chao-Ping, Paris, Richard B.
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Superposition on monotonic functions
Duke Mathematical Journal, 1940 Not ...
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Orthosymmetrical monotone functions [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007 A straightforward generalization of the classical inverse of a real function based on reflections leads to several insuperable difficulties. We introduce a new type of inverse w.r.t. monotone bijections $\phi$ that is determined by the direction of the base vectors of the real Euclidean plane.
Maes, K. C., De Baets, B.
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Molecular Oncology, EarlyView.This study develops a semi‐supervised classifier integrating multi‐genomic data (1404 training/5893 validation samples) to improve homologous recombination deficiency (HRD) detection in breast cancer. Our method demonstrates prognostic value and predicts chemotherapy/PARP inhibitor sensitivity in HRD+ tumours.
Rong Zhu +12 more
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Piecewise rational quadratic interpolation to monotonic data [PDF]
, 1981 An explicit representation of a piecewise rational quadratic function is developed which produces a monotonic interpolant to given monotonic data. The explicit representation means that the piecewise monotonic interpolant is easily constructed and ...
Delbourgo, R, Gregory, JA
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