919 resultados para k-Lipschitz aggregation functions


Relevância:

100.00% 100.00%

Publicador:

Resumo:

We prove that any subanalytic locally Lipschitz function has the Sard property. Such functions are typically nonsmooth and their lack of regularity necessitates the choice of some generalized notion of gradient and of critical point. In our framework these notions are defined in terms of the Clarke and of the convex-stable subdifferentials. The main result of this note asserts that for any subanalytic locally Lipschitz function the set of its Clarke critical values is locally finite. The proof relies on Pawlucki's extension of the Puiseuxlemma. In the last section we give an example of a continuous subanalytic function which is not constant on a segment of "broadly critical" points, that is, points for which we can find arbitrarily short convex combinations of gradients at nearby points.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

2000 Mathematics Subject Classification: Primary 30C45, 26A33; Secondary 33C15

Relevância:

100.00% 100.00%

Publicador:

Resumo:

In this paper an alternative characterization of the class of functions called k -uniformly convex is found. Various relations concerning connections with other classes of univalent functions are given. Moreover a new class of univalent functions, analogous to the ’Mocanu class’ of functions, is introduced. Some results concerning this class are derived.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

Distributed data aggregation is an important task, allowing the de- centralized determination of meaningful global properties, that can then be used to direct the execution of other applications. The resulting val- ues result from the distributed computation of functions like count, sum and average. Some application examples can found to determine the network size, total storage capacity, average load, majorities and many others. In the last decade, many di erent approaches have been pro- posed, with di erent trade-o s in terms of accuracy, reliability, message and time complexity. Due to the considerable amount and variety of ag- gregation algorithms, it can be di cult and time consuming to determine which techniques will be more appropriate to use in speci c settings, jus- tifying the existence of a survey to aid in this task. This work reviews the state of the art on distributed data aggregation algorithms, providing three main contributions. First, it formally de nes the concept of aggrega- tion, characterizing the di erent types of aggregation functions. Second, it succinctly describes the main aggregation techniques, organizing them in a taxonomy. Finally, it provides some guidelines toward the selection and use of the most relevant techniques, summarizing their principal characteristics.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

La vitamine K fait l’objet d’un intérêt croissant en regard du rôle qu’elle peut jouer dans la santé humaine hormis celui bien établi dans la coagulation sanguine. De plus en plus d’études expérimentales lui confèrent des fonctions dans le système nerveux central, particulièrement dans la synthèse des sphingolipides, l’activation de la protéine vitamine K-dépendante Gas6 et la protection contre les dommages oxydatifs. Toutefois, il demeure beaucoup moins bien établi si la perturbation de ces fonctions peut conduire à des déficits cognitifs. L’objectif principal de cette thèse est de vérifier l’hypothèse selon laquelle le statut vitaminique K des personnes âgées en santé est un déterminant de la performance cognitive. En vue de la réalisation de cet objectif, une meilleure compréhension des indicateurs du statut vitaminique K s’avérait nécessaire. Chacune des études présentées vise donc un objectif spécifique : 1) évaluer le nombre de rappels alimentaires de 24 heures non consécutifs nécessaire pour mesurer l’apport habituel de vitamine K des personnes âgées; 2) évaluer la valeur d’une seule mesure de la concentration sérique de vitamine K comme marqueur de l’exposition à long terme; et 3) examiner l’association entre le statut vitaminique K et la performance cognitive des personnes âgées en santé de la cohorte québécoise NuAge. Trois dimensions cognitives ont été évaluées soient la mémoire épisodique verbale et non-verbale, les fonctions exécutives et la vitesse de traitement de l’information. Cette thèse présente la première étude appuyant l’hypothèse d’un rôle de la vitamine K dans la cognition chez les personnes âgées. Spécifiquement, la concentration sérique de vitamine K a été associée positivement à la performance en mémoire épisodique verbale, et plus particulièrement au processus de consolidation de la trace mnésique. En accord avec les travaux chez l’animal et l’action de la protéine Gas6 dans l’hippocampe, un rôle spécifique de la vitamine K à l’étape de consolidation est biologiquement plausible. Aucune association significative n’a été observée avec les fonctions exécutives et la vitesse de traitement de l’information. Parallèlement, il a été démontré qu’une mesure unique de la concentration sérique de vitamine K constitue une mesure adéquate de l’exposition à long terme à la vitamine K. De même, il a été établi que six à 13 rappels alimentaires de 24 heures sont nécessaires pour estimer précisément l’apport de vitamine K des personnes âgées en santé. Collectivement, les résultats de ces deux études fournissent des informations précieuses aux chercheurs permettant une meilleure interprétation des études existantes et une meilleure planification des études futures. Les résultats de cette thèse constituent une avancée importante dans la compréhension du rôle potentiel de la vitamine K dans le système nerveux central et renforce la nécessité qu’elle soit considérée en tant que facteur nutritionnel du vieillissement cognitif, en particulier chez les personnes traitées par un antagoniste de la vitamine K.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

Identical neutral kaon pair correlations are measured in root s = 7 TeV pp collisions in the ALICE experiment. One-dimensional (KsKs0)-K-0 correlation functions in terms of the invariant momentum difference of kaon pairs are formed in two multiplicity and two transverse momentum ranges. The femtoscopic parameters for the radius and correlation strength of the kaon source are extracted. The fit includes quantum statistics and final-state interactions of the a(0)/f(0) resonance. (KsKs0)-K-0 correlations show an increase in radius for increasing multiplicity and a slight decrease in radius for increasing transverse mass, mT, as seen in pi pi correlations in pp collisions and in heavy-ion collisions. Transverse mass scaling is observed between the (KsKs0)-K-0 and pi pi radii. Also, the first observation is made of the decay of the f(2)'(1525) meson into the (KsKs0)-K-0 channel in pp collisions. (C) 2012 CERN. Published by Elsevier B.V. All rights reserved.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

With the purpose of assessing the absorption coefficients of quantum dot solar cells, symmetry considerations are introduced into a Hamiltonian whose eigenvalues are empirical. In this way, the proper transformation from the Hamiltonian's diagonalized form to the form that relates it with Γ-point exact solutions through k.p envelope functions is built accounting for symmetry. Forbidden transitions are thus determined reducing the calculation burden and permitting a thoughtful discussion of the possible options for this transformation. The agreement of this model with the measured external quantum efficiency of a prototype solar cell is found to be excellent.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

n this paper we deal with the problem of obtaining the set of k-additive measures dominating a fuzzy measure. This problem extends the problem of deriving the set of probabilities dominating a fuzzy measure, an important problem appearing in Decision Making and Game Theory. The solution proposed in the paper follows the line developed by Chateauneuf and Jaffray for dominating probabilities and continued by Miranda et al. for dominating k-additive belief functions. Here, we address the general case transforming the problem into a similar one such that the involved set functions have non-negative Möbius transform; this simplifies the problem and allows a result similar to the one developed for belief functions. Although the set obtained is very large, we show that the conditions cannot be sharpened. On the other hand, we also show that it is possible to define a more restrictive subset, providing a more natural extension of the result for probabilities, such that it is possible to derive any k-additive dominating measure from it.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

This paper considers general second kind integral equations of the form(in operator form φ − kφ = ψ), where the functions k and ψ are assumed known, with ψ ∈ Y, the space of bounded continuous functions on R, and k such that the mapping s → k(s, · ), from R to L1(R), is bounded and continuous. The function φ ∈ Y is the solution to be determined. Conditions on a set W ⊂ BC(R, L1(R)) are obtained such that a generalised Fredholm alternative holds: If W satisfies these conditions and I − k is injective for all k ∈ W then I − k is also surjective for all k ∈ W and, moreover, the inverse operators (I − k) − 1 on Y are uniformly bounded for k ∈ W. The approximation of the kernel in the integral equation by a sequence (kn) converging in a weak sense to k is also considered and results on stability and convergence are obtained. These general theorems are used to establish results for two special classes of kernels: k(s, t) = κ(s − t)z(t) and k(s, t) = κ(s − t)λ(s − t, t), where κ ∈ L1(R), z ∈ L∞(R), and λ ∈ BC((R\{0}) × R). Kernels of both classes arise in problems of time harmonic wave scattering by unbounded surfaces. The general integral equation results are here applied to prove the existence of a solution for a boundary integral equation formulation of scattering by an infinite rough surface and to consider the stability and convergence of approximation of the rough surface problem by a sequence of diffraction grating problems of increasingly large period.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

The oral pathogen Streptococcus mutans expresses a surface protein, P1, which interacts with the salivary pellicle on the tooth surface or with fluid-phase saliva, resulting in bacterial adhesion or aggregation, respectively. P1 is a target of protective immunity. Its N-terminal region has been associated with adhesion and aggregation functions and contains epitopes recognized by efficacious antibodies. In this study, we used Bacillus subtilis, a gram-positive expression host, to produce a recombinant N-terminal polypeptide of P1 (P1(39-512)) derived from the S. mutans strain UA159. Purified P1(39-512) reacted with an anti-full-length P1 antiserum as well as one raised against intact S. mutans cells, indicating preserved antigenicity. Immunization of mice with soluble and heat-denatured P1(39-512) induced antibodies that reacted specifically with native P1 on the surface of S. mutans cells. The anti-P1(39-512) antiserum was as effective at blocking saliva-mediated aggregation of S. mutans cells and better at blocking bacterial adhesion to saliva-coated plastic surfaces compared with the anti-full-length P1 antiserum. In addition, adsorption of the anti-P1 antiserum with P1(39-512) eliminated its ability to block the adhesion of S. mutans cells to abiotic surfaces. The present results indicate that P1(39-512), expressed and purified from a recombinant B. subtilis strain, maintains important immunological features of the native protein and represents an additional tool for the development of anticaries vaccines.

Relevância:

100.00% 100.00%

Publicador:

Resumo:

Background and Aims: Recent studies showed a positive tree response to Na addition in K-depleted tropical soils. Our study aimed to gain insight into the effects of K and Na fertilizations on leaf area components for a widely planted tree species. Methods: Leaf expansion rates, as well as nutrient, polyol and soluble sugar concentrations, were measured from emergence to abscission of tagged leaves in 1-year-old Eucalyptus grandis plantations. Leaf cell size and water status parameters were compared 1 and 2 months after leaf emergence in plots with KCl application (+K), NaCl application (+Na) and control plots (C). Results: K and Na applications enhanced tree leaf area by increasing both leaf longevity and the mean area of individual leaves. Higher cell turgor in treatments +K and +Na than in the C treatment resulting from higher concentrations of osmotica contributed to increasing both palisade cell diameters and the size of fully expanded leaves. Conclusions: Intermediate total tree leaf area in treatment +Na compared to treatments C and +K might result from the capacity of Na to substitute K in osmoregulatory functions, whereas it seemed unable to accomplish other important K functions that contribute to delaying leaf senescence. © 2013 Springer Science+Business Media Dordrecht.

Relevância:

40.00% 40.00%

Publicador:

Resumo:

The problem of semialgebraic Lipschitz classification of quasihomogeneous polynomials on a Holder triangle is studied. For this problem, the ""moduli"" are described completely in certain combinatorial terms.

Relevância:

40.00% 40.00%

Publicador:

Resumo:

"Vegeu el resum a l'inici del document del fitxer adjunt."

Relevância:

40.00% 40.00%

Publicador:

Resumo:

We study the space of bandlimited Lipschitz functions in one variable. In particular we provide a geometrical description of interpolating and sampling sequences for this space. We also give a description of the trace of such functions to sequences of critical density in terms of a cancellation condition.

Relevância:

40.00% 40.00%

Publicador:

Resumo:

In this paper we investigate the classification of mappings up to K-equivalence. We give several results of this type. We study semialgebraic deformations up to semialgebraic C(0) K-equivalence and bi-Lipschitz K-equivalence. We give an algebraic criterion for bi-Lipschitz K-triviality in terms of semi-integral closure (Theorem 3.5). We also give a new proof of a result of Nishimura: we show that two germs of smooth mappings f, g : R(n) -> R(n), finitely determined with respect to K-equivalence are C(0)-K-equivalent if and only if they have the same degree in absolute value.