Search results for "continuity"
showing 10 items of 378 documents
On the continuous and discontinuous maximal operators
2018
Abstract In the first part of this paper we study the regularity properties of a wide class of maximal operators. These results are used to show that the spherical maximal operator is continuous W 1 , p ( R n ) ↦ W 1 , p ( R n ) , when p > n n − 1 . Other given applications include fractional maximal operators and maximal singular integrals. On the other hand, we show that the restricted Hardy–Littlewood maximal operator M λ , where the supremum is taken over the cubes with radii greater than λ > 0 , is bounded from L p ( R n ) to W 1 , p ( R n ) but discontinuous.
Searching events in AFM force-extension curves: A wavelet approach
2016
An algorithm, based on the wavelet scalogram energy, for automatically detecting events in force-extension AFM force spectroscopy experiments is introduced. The events to be detected are characterized by a discontinuity in the signal. It is shown how the wavelet scalogram energy has different decay rates at different points depending on the degree of regularity of the signal, showing faster decay rates at regular points and slower rates at singular points (jumps). It is shown that these differences produce peaks in the scalogram energy plot at the event points. Finally, the algorithm is illustrated in a tether analysis experiment by using it for the detection of events in the AFM force-exte…
A heuristic, iterative algorithm for change-point detection in abrupt change models
2017
Change-point detection in abrupt change models is a very challenging research topic in many fields of both methodological and applied Statistics. Due to strong irregularities, discontinuity and non-smootheness, likelihood based procedures are awkward; for instance, usual optimization methods do not work, and grid search algorithms represent the most used approach for estimation. In this paper a heuristic, iterative algorithm for approximate maximum likelihood estimation is introduced for change-point detection in piecewise constant regression models. The algorithm is based on iterative fitting of simple linear models, and appears to extend easily to more general frameworks, such as models i…
[Management of patients with lymphatic diseases and lipoedema during the COVID-19 pandemic. Recommendations of the Spanish Group of Lymphology].
2020
Resumen La pandemia de COVID-19 es un desafío para el manejo de las patologías no COVID como la enfermedad linfática y el lipedema. La Telemedicina puede evitar la propagación del coronavirus. Se necesita un sistema que nos ayude a determinar la prioridad clínica y la selección de la asistencia presencial o telemática para cada paciente y la forma de realizarlas durante la pandemia. El Grupo Español de Linfología (GEL) ha realizado un documento de consenso con recomendaciones basadas en la bibliografía y experiencia clínica, como guía de práctica clínica en el manejo de anomalías linfáticas y lipedema durante la pandemia de COVID-19. Estas recomendaciones deben adaptarse a las característic…
Continuous and discontinuous nominal expressions in flexible (or “free”) word order languages: Patterns and correlates
2020
AbstractThis study explores continuous and discontinuous word order patterns of multi-word nominal expressions in flexible word order languages (traditionally referred to as “free word order” or “non-configurational” languages). Besides describing syntagmatic patterns, this paper seeks to identify any functional or other correlates that can be associated with different word orders. The languages under investigation are a number of Australian languages as well as Vedic Sanskrit, all of which have long been known for their syntagmatic flexibility. With respect to continuous order, evidence from several of these languages suggests that default ordering is primarily governed by functional templ…
In nomine patris: Discursive strategies and ideology in the Cosa Nostra family discourse
2017
Abstract The article investigates how Cosa Nostra family discourse is characterized by a series of discursive strategies that give shape to specific ideological structures. By analysing a TV interview to the son of Bernardo Provenzano, boss of Cosa Nostra, it is possible to understand how the criminal values and practices are maintained and reproduced within the father–son relationship. Specifically, we show how the son justifies, legitimises or denies the criminal actions of his father. The ideology of Cosa Nostra seems to be based on the inter-generational cultural continuity of its members, on the family as main locus of adherence, reductionism of its mediatic image, amoralism as father–…
Estimates for the differences of positive linear operators and their derivatives
2019
The present paper deals with the estimate of the differences of certain positive linear operators and their derivatives. Oxur approach involves operators defined on bounded intervals, as Bernstein operators, Kantorovich operators, genuine Bernstein-Durrmeyer operators, and Durrmeyer operators with Jacobi weights. The estimates in quantitative form are given in terms of the first modulus of continuity. In order to analyze the theoretical results in the last section, we consider some numerical examples.
Ahlfors-regular distances on the Heisenberg group without biLipschitz pieces
2015
We show that the Heisenberg group is not minimal in looking down. This answers Problem 11.15 in `Fractured fractals and broken dreams' by David and Semmes, or equivalently, Question 22 and hence also Question 24 in `Thirty-three yes or no questions about mappings, measures, and metrics' by Heinonen and Semmes. The non-minimality of the Heisenberg group is shown by giving an example of an Ahlfors $4$-regular metric space $X$ having big pieces of itself such that no Lipschitz map from a subset of $X$ to the Heisenberg group has image with positive measure, and by providing a Lipschitz map from the Heisenberg group to the space $X$ having as image the whole $X$. As part of proving the above re…
From Feynman–Kac formulae to numerical stochastic homogenization in electrical impedance tomography
2016
In this paper, we use the theory of symmetric Dirichlet forms to derive Feynman–Kac formulae for the forward problem of electrical impedance tomography with possibly anisotropic, merely measurable conductivities corresponding to different electrode models on bounded Lipschitz domains. Subsequently, we employ these Feynman–Kac formulae to rigorously justify stochastic homogenization in the case of a stochastic boundary value problem arising from an inverse anomaly detection problem. Motivated by this theoretical result, we prove an estimate for the speed of convergence of the projected mean-square displacement of the underlying process which may serve as the theoretical foundation for the de…
Different approaches to marriage downgrading : from an anti-elusive measure to an antidiscriminatory claim
2021
The essay focuses on the different mechanisms of marriage downgrading. Given the principle of ?cross-border continuity? of statuses, limits to this continuity are sometimes admitted and they are placed through downgrading mechanisms. That can occour in the case of same-sex marriages transcription in a Member State which does not allow such marriages, but which does allow samesex registered partnerships. Downgrading mechanism has an anti-elusive function, but it is not without problems in terms of discrimination on the grounds of sexual orientation. A different approach is taken in the case of an opposite-sex couple requesting the downgrading of their marriage, celebrated before the Member S…