We prove the existence of a free group of rotations of rank 2 which acts on the rational unit sphere without non-trivial fixed points. Introduction. The purpose of this paper is to prove that the group SO3(Q) of all proper orthogonal 3 × 3 matrices with rational entries has a free subgroup F2 of rank 2 such that for all w ∈ F2 different from the identity and for all ~r ∈ S2 ∩Q3 we have w(~r ) 6...

The recommended cut-off of <1% positive cells to define estrogen receptor (ER) negative status in breast cancer (BC) is highly debated. We compared the tumor immune microenvironment (TME) HER2-neg BC according ER (ER-neg: 0% vs ER-low: 1-9%). This multicentric study included patients with stage I-III from centers across Italy and France: Istituto Oncologico Veneto IOV; Montpellier Cancer Instit...

INTRODUCTION Dyslipidemia is closely related to erectile dysfunction (ED). Evidence has shown that the lipid-lowering agent, 3-hydroxy-3-methylglutaryl-coenzyme A reductase inhibitor (statins), can improve erectile function. However, information about the potential role of another class of lipid-lowering agent, niacin, is unknown. AIM To assess the effect of niacin alone on erectile function ...

The event-based Agricultural Non-Point Source (AGNPS) pollution model is used extensively to simulate sud~ice runoff, sediment yield and nutrient transport in unmonitored watersheds. Investigation, that compare AGNPS predictions to measured data are rare. The objective of the present study was to compare surface runoff and sediment yield predictions from AGNPS water quality simulation model and...

We construct the complete and minimalO(q2) and O(q3) three-flavour Lorentz invariant chiral meson-baryon Lagrangians for the first time in the literature. We compare with previous three-flavour studies reducing the number of independent monomials and adding new ones that were missing.

of quadruplets (Webpages.url, Webpages..le id, Images .image id, Images.description) will be obtained. For each quadruplet, a triplet (Webpages.url, Web-pages..le id, Images.image id) are extracted and the set of triplets is used by the next step for assembling the nal result. The fourth component of each quadruplet (i.e., Images.description) will be extracted and be used by subquery q3. Subque...