Results 11 to 20 of about 153,624 (281)

Cryptographic properties of monotone Boolean functions

Journal of Mathematical Cryptology, 2016
We prove various results on monotone Boolean functions. In particular, we prove a conjecture proposed recently, stating that there are no monotone bent Boolean functions.
Carlet Claude, Joyner David, Stănică Pantelimon, Tang Deng   +3 more
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Estimating Smooth Monotone Functions

Journal of the Royal Statistical Society Series B: Statistical Methodology, 1998
Summary Many situations call for a smooth strictly monotone function f of arbitrary flexibility. The family of functions defined by the differential equation D  2  f =w Df, where w is an unconstrained coefficient function comprises the strictly monotone twice differentiable functions. The solution to this equation is f = C  0 + C  1  D  −
openaire   +4 more sources

Around Operator Monotone Functions [PDF]

Integral Equations and Operator Theory, 2011
We show that the symmetrized product $AB+BA$ of two positive operators $A$ and $B$ is positive if and only if $f(A+B)\leq f(A)+f(B)$ for all non-negative operator monotone functions $f$ on $[0,\infty)$ and deduce an operator inequality. We also give a necessary and sufficient condition for that the composition $f\circ g$ of an operator convex function $
Moslehian, Mohammad Sal, Najafi, Hamed
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Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]

Sahand Communications in Mathematical Analysis
In this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions.
Bayaz Daraby, Zahra Vaezi
doaj   +1 more source

A Unifying Hierarchy of Valuations with Complements and Substitutes [PDF]

, 2014
We introduce a new hierarchy over monotone set functions, that we refer to as $\mathcal{MPH}$ (Maximum over Positive Hypergraphs). Levels of the hierarchy correspond to the degree of complementarity in a given function. The highest level of the hierarchy,
Feige, Uriel, Feldman, Michal, Immorlica, Nicole, Izsak, Rani, Lucier, Brendan, Syrgkanis, Vasilis   +5 more
core   +1 more source

n-Monotone exact functionals

Journal of Mathematical Analysis and Applications, 2008
We study n-monotone functionals, which constitute a generalisation of n-monotone set functions. We investigate their relation to the concepts of exactness and natural extension, which generalise the notions of coherence and natural extension in the behavioural theory of imprecise probabilities. We improve upon a number of results in the literature, and
de Cooman, Gert, Troffaes, Matthias, Miranda, Enrique   +2 more
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Secret-Sharing for NP [PDF]

, 2014
A computational secret-sharing scheme is a method that enables a dealer, that has a secret, to distribute this secret among a set of parties such that a "qualified" subset of parties can efficiently reconstruct the secret while any "unqualified" subset ...
A. Beimel, A. Beimel, A. Shamir, B. Barak, B. Barak, B. Barak, C. Dwork, C. Gentry, C. Gentry, D. Boneh, H. Krawczyk, I. Komargodski, J. Håstad, J.C. Benaloh, M. Ito, M. Naor, M. Naor, R. Pass, S. Goldwasser, V. Vinod, Z. Brakerski   +20 more
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Hardy-Littlewood theorem for series with general monotone coefficients

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this work we study trigonometric series with general monotone coefficients. Also, we consider Lqϕ ( Lq ) space. In particular, when ϕ ( t ) ≡ 1 the space Lqϕ ( Lq ) coincides with Lq .
S. Bitimkhan
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Bayesian and frequentist approach for the generalized log-logistic accelerated failure time model with applications to larynx-cancer patients

Alexandria Engineering Journal, 2022
The log-normal, log-logistic and Weibull distributions are commonly utilized to model survival data. Unimodal (or non-monotone) failure rate functions are modeled using the log-normal and the log-logistic families, whereas monotone failure rate functions
Abdisalam Hassan Muse, Samuel Mwalili, Oscar Ngesa, Huda M. Alshanbari, Saima Khan Khosa, Eslam Hussam   +5 more
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CONVEXIFICATION OF STRICTLY MONOTONE FUNCTIONS

Selecciones Matemáticas, 2016
This paper presents the theory that guarantees the convexication of a strictly monotone function. We proves a theorem and two corollaries for convexication of strictly monotones functions twice continuously differentiable, then the generalization of ...
Jenny Rojas Jerónimo, Jhon Angulo Viteri   +1 more
doaj   +1 more source