We classify regular subalgebras of affine Kac–Moody algebras in terms of their root systems. In the process, we establish that a root system of a subalgebra is always an intersection of the root system of the algebra with a sublattice of its root lattice. We also discuss applications to investigations of regular subalgebras of hyperbolic Kac–Moody algebras and conformally invariant subalgebras ...

In this paper, we look at long geometric progressions on diferent model of elliptic curves, namely Weierstrass curves, Edwards and twisted Edwards curves, Huf curves and general quartics curves. By a geometric progression on an elliptic curve, we mean the existence of rational points on the curve whose x-coordinate (or y-coordinate) are in geometric progression. We fnd infnite families of twist...

Cough is a prevailing symptom in most lung diseases. While cough sounds themselves can be very instrumental in the diagnosis of certain diseases, their intensity and frequency also infers the intensity of the particular illness. There is an imperative need for a robust system for identifying and analyzing cough sounds. In implementing such systems, researchers are confronted with technical chal...

BACKGROUND The Influenza A H1N1 virus can be transmitted via direct, indirect, and airborne route to non-infected subjects when an infected patient coughs, which expels a number of different sized droplets to the surrounding environment as an aerosol. The objective of the current study was to characterize the human cough aerosol pattern with the aim of developing a standard human cough bioaeros...

Heterotic string models in which the space-time gauge symmetry is realized as a level k > 2 Kac-Moody algebra on the string world-sheet offer phenomenological features not present for the level k = 1 case (which includes all heterotic string models seriously considered to date). In particular, string models with N=l space-time supersymmetry and/or chiral matter fields can contain massless scala...

The first presenter, Professor Mariana Mazzucato (University of Sussex, UK), spoke about EU innovation policy in relation to risk taking and obtaining the return, and she challenged the common, but false, assumption that the public sector has a limited role in economic growth and innovation. The second presenter, technology writer Glyn Moody, focused on equitable licensing, open-source research...

The aim of the present study was make chronic cough guidelines more practical and user friendly by developing an internet-based interactive diagnostic questionnaire for chronic cough. A prospective cohort study of chronic cough sufferers was conducted in the UK, following European Respiratory Society guidelines for the diagnosis and management of chronic cough. Depending on the response to 16 s...

We describe the detection of Bordetella holmesii as a cause of whooping cough in Spain. Prevalence was 3.9% in 2015, doubling to 8.8% in 2016. This emergence raises concern regarding the contribution of B. holmesii to the reemergence of whooping cough and the effectiveness of the pertussis vaccine.

We will show the Gauss decomposition with prescribed torus elements for a Kac-Moody group over a field in general case.

BACKGROUND A laboratory-free test for assessing recovery from pulmonary tuberculosis (TB) would be extremely beneficial in regions of the world where laboratory facilities are lacking. Our hypothesis is that analysis of cough sound recordings may provide such a test. In the current paper, we present validation of a cough analysis tool. METHODOLOGY/PRINCIPAL FINDINGS Cough data was collected f...