Let t, n be integers with n ≥ 3t. For t ≥ 3, we prove that in any family of at least t4n2 ) triples from an n-element set X, there exist 2t triples A1, B1, A2, B2, . . . , At, Bt and distinct elements a, b ∈ X such that Ai ∩Aj = {a} and Bi ∩Bj = {b}, for all i 6= j, and Ai ∩Bj = { Ai − {a} = Bj − {b} for i = j ∅ for i 6= j. When t = 2, we improve the upper bound t ( n 2 ) to 3 ( n 2 ) + 6n. Thi...

MOTIVATION In recent years, the gulf between the mass of accumulating-research data and the massive literature describing and analyzing those data has widened. The need for intelligent tools to bridge this gap, to rescue the knowledge being systematically isolated in literature and data silos, is now widely acknowledged. RESULTS To this end, we have developed Utopia Documents, a novel PDF rea...

In this note we investigate the computational complexity of the transportation problem with a permutable demand vector, TP-PD for short. In the TP-PD, the goal is to permute the elements of the given integer demand vector b = (b1; : : : ; bn) in order to minimize the overall transportation costs. Meusel and Burkard [4] recently proved that the TP-PD is strongly NP-hard. In their NP-hardness red...

We present progress results of a new survey for bright QSOs (V < 14.5, R < 15.4, BJ < 15.2) covering the whole sky at |b| > 30. The surface density of QSOs brighter than BJ = 14.8 turns out to be 2.9±0.8·10deg. The optical Luminosity Function at 0.04 < z ≤ 0.3 shows significant departures from the standard pure luminosity evolution, providing new insights in the modelling of the QSO phenomenon.

We present the CHAL336 benchmark set-the most comprehensive database for assessment of chalcogen-bonding (CB) interactions. After careful selection suitable systems and identification three high-level reference methods, set comprises 336 dimers each consisting up to 49 atoms covers both σ- π-hole interactions across four categories: chalcogen-chalcogen, chalcogen-π, chalcogen-halogen, chalcogen...

Let X ∈ R denote a random stock market return vector, where Xj is the value of a one unit investment in stock j at the end of the trading day. We require that Xj ≥ 0 for j = 1, 2, . . . , m, that is, an investor cannot lose more than the invested capital. Let b, bj ≥ 0, ∑m j=1 bj = 1, denote a portfolio, that is, an allocation of investor’s capital across the investment alternatives. Let B deno...

We prove a regularity result in weighted Sobolev (or Babuška–Kondratiev) spaces for the eigenfunctions of a single-nucleus Schrödinger operator. More precisely, let K a (R ) be the weighted Sobolev space obtained by blowing up the set of singular points of the potential V (x) = ∑ 1≤j≤N bj |xj | + ∑ 1≤i<j≤N cij |xi−xj | , x ∈ R 3N , bj , cij ∈ R. If u ∈ L(R ) satisfies (−∆ + V )u = λu in distrib...

1. Marrugat J, Elosua R, Gil M. Epidemiología de la muerte súbita cardiaca en España. Rev Esp Cardiol. 1999;52:717-25. 2. Maron BJ. Hypertrophic cardiomyopathy. A systematic review. JAMA. 2002;287:1308-20. 3. Peinado R, Arenal A, Arribas F, Torrecilla E, Álvarez M, Ormaetxe JM, et al. Registro Español de Desfibrilador Automático Implantable. Primer informe oficial del Grupo de Trabajo de Desfib...

PURPOSE To explore the effects of the combination of blueberry juice and probiotics on the apoptosis of alcoholic fatty liver disease (AFLD). METHODS Healthy C57BL/6J mice were used in the control group (CG). AFLD mice models were established with Lieber-DeCarli ethanol diet and evenly assigned to six groups with different treatments: MG (model), SI (SIRT1 [sirtuin type 1] small interfering R...