Transfer theorems are central results in abstract algebraic logic that allow to generalize properties of the lattice of theories of a logic to any algebraic model and its lattice of filters. Their proofs sometimes require the existence of a natural extension of the logic to a bigger set of variables. Constructions of such extensions have been proposed in particular settings in the literature. I...

We study lead nanodroplets containing 147 to 1415 atoms at temperatures ranging from the bulk melting point up to the beginning of the evaporation regime. Molecular dynamics simulation and an embedded atom potential are used. The structures, total energies, and mobility of atoms in the clusters are analyzed. We found that the liquid cluster of 147 atoms shows a pronounced tendency to form non-s...

This is an acoustic study of prosodic effects on segmental durations with reference to syllable structure, stress, focus and tempo in Greek. Disyllabic nonsense words with one, or two, or three consonants in the initial syllable were examined in stressed/unstressed, focused/unfocused and normal/fast tempo productions in a carrier sentence contexts. The results indicate that: (1) syllabic onset ...

I would like to tell you today about a subject which, although I have not worked in it myself, has always extraordinarily captivated me, and which has fascinated mathematicians from the earliest times until the present namely, the question of the distribution of prime numbers. You certainly all know what a prime number is: it is a natural number bigger than 1 which is divisible by no other natu...

One of the most adverse weather phenomena in Catalonia are thunderstorms producing severe weather phenomenon like heavy rainfalls, hail storms, or tornadoes. Sometimes, these thunderstorms seem to have marked paths although in some cases these trajectories vary sharply, changing completely the movement directions that have previously followed, either breaking into several cells, or joining into...