The basic idea in secret sharing is to divide the secret key into pieces, also called as ‘shares’ and distribute the pieces to different persons so that certain subsets of the persons can get together to recover the key. In the outline of threshold schemes, we wanted k out of n participants to be able to determine the key. In practice, it is often needed that only certain specified subsets of t...

In this paper, we explore the links between measures of inconsistency for a belief base and the minimal inconsistent subsets of that belief base. The minimal inconsistent subsets can be considered as the relevant part of the base to take into account to evaluate the amount of inconsistency. We define a very natural inconsistency value from these minimal inconsistent sets. Then we show that the ...

We study a class of countably infinite linear programs (CILPs) whose feasible sets are bounded subsets appropriately defined spaces measures. The optimal value, points, and minimal po...

This paper deals with the question of completing a monotone increasing family of subsets Γ of a finite set Ω to obtain the linearly dependent subsets of a family of vectors of a vector space. Specifically, we demonstrate that such vectorial completions of the family of subsets Γ exist and, in addition, we show that the minimal vectorial completions of the family Γ provide a decomposition of the...

This paper deals with the question of completing a monotone increasing family of subsets Γ of a finite set Ω to obtain the linearly dependent subsets of a family of vectors of a vector space. Specifically, we prove that such vectorial completions of the family of subsets Γ exist and, in addition, we show that the minimal vectorial completions of the family Γ provide a decomposition of the clutt...

WARNING: FLUDARA FOR INJECTION should be administered under the supervision of a 6 qualified physician experienced in the use of antineoplastic therapy. FLUDARA FOR 7 INJECTION can severely suppress bone marrow function. When used at high doses in dose8 ranging studies in patients with acute leukemia, FLUDARA FOR INJECTION was associated 9 with severe neurologic effects, including blindness, co...

The Semantic Web technologies enable Web-scaled data linking between large RDF repositories. However, it happens that organizations cannot publish their whole datasets but only some subsets of them, due to ethical, legal or confidentiality considerations. Different user profiles may have access to different authorized subsets. In this case, selective disclosure appears as a promising incentive ...

Turing structures, standing waves, oscillatory clusters, and accelerating waves have been found in the spatially extended Belousov-Zhabotinsky system dispersed in water droplets of a reverse AOT microemulsion. The variety of patterns is determined by the tunable microstructure of the medium, i.e., by the concentration and size of water droplets. We propose a simple model to describe this system.