Results 21 to 30 of about 115,423 (329)

Renormalized solutions for a p(·)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent

open access: yesMoroccan Journal of Pure and Applied Analysis, 2022
In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(·)(Ω)
Benboubker M. B.   +3 more
doaj   +1 more source

Representation of States on Effect-Tribes and Effect Algebras by Integrals [PDF]

open access: yes, 2010
We describe $\sigma$-additive states on effect-tribes by integrals. Effect-tribes are monotone $\sigma$-complete effect algebras of functions where operations are defined by points.
Dvurečenskij, Anatolij
core   +1 more source

Learning circuits with few negations [PDF]

open access: yes, 2014
Monotone Boolean functions, and the monotone Boolean circuits that compute them, have been intensively studied in complexity theory. In this paper we study the structure of Boolean functions in terms of the minimum number of negations in any circuit ...
Blais, Eric   +4 more
core   +4 more sources

Lineability of Nowhere Monotone Measures [PDF]

open access: yesBulletin of the Belgian Mathematical Society - Simon Stevin, 2014
Let \(X\) be a locally compact space without isolated points, and denote by \(\mathcal{M}(X)\) the Banach lattice of all real-valued Radon (Borel) measures on \(X\). The author calls \(\mu \in \mathcal{M}(X)\) nowhere monotone if \(\mu^{+}(G)>0\) and \(\mu^{-}(G)> 0\) for every nonempty open subset \(G\) of \(X\).
openaire   +3 more sources

Monotone iterative technique for nonlocal fractional differential equations with finite delay in Banach space

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this paper, we extend a monotone iterative technique for nonlocal fractional differential equations with finite delay in an ordered Banach space. By using the monotone iterative technique, theory of fractional calculus, semigroup theory and measure of
Kamal Jeet, Dhirendra Bahuguna
doaj   +1 more source

A comparison of MCC and CEN error measures in multi-class prediction. [PDF]

open access: yesPLoS ONE, 2012
We show that the Confusion Entropy, a measure of performance in multiclass problems has a strong (monotone) relation with the multiclass generalization of a classical metric, the Matthews Correlation Coefficient.
Giuseppe Jurman   +2 more
doaj   +1 more source

Proximal gradient methods beyond monotony [PDF]

open access: yesJournal of Nonsmooth Analysis and Optimization, 2023
We address composite optimization problems, which consist in minimizing the sum of a smooth and a merely lower semicontinuous function, without any convexity assumptions. Numerical solutions of these problems can be obtained by proximal gradient methods,
Alberto De Marchi
doaj   +1 more source

Quantifying coherence of quantum measurements

open access: yesNew Journal of Physics, 2020
In this work we investigate how to quantify the coherence of quantum measurements. First, we establish a resource theoretical framework to address the coherence of measurement and show that any statistical distance can be adopted to define a coherence ...
Kyunghyun Baek   +4 more
doaj   +1 more source

Monotone and boolean unitary Brownian motions [PDF]

open access: yes, 2015
The additive monotone (resp. boolean) unitary Brownian motion is a non-commutative stochastic process with monotone (resp. boolean) independent and stationary increments which are distributed according to the arcsine law (resp. Bernoulli law) .
Hamdi, Tarek
core   +1 more source

Monotone Iterative Technique for Fractional Evolution Equations in Banach Spaces

open access: yesJournal of Applied Mathematics, 2011
We investigate the initial value problem for a class of fractional evolution equations in a Banach space. Under some monotone conditions and noncompactness measure conditions of the nonlinearity, the well-known monotone iterative technique is then ...
Jia Mu
doaj   +1 more source

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