Abstract This paper provides the first thorough assessment of a physics-based answer, Bound State Answer (BSA), to Special Composition Question (SCQ). According BSA some objects compose something if they are in common bound state. The reasons endorse such an particular, motivations coming from empirical adequacy and conservativeness, precision, simplicity, parsimony, critically addressed. I the...

A typical interval exchange transformation has an infinite sequence of matrices associated to it by successive iterations Rauzy induction. In 2010, W. A. Veech answered a question Bufetov showing that the itself may be recovered from these and must unique up topological conjugation. this work, we will improve upon results providing algorithm determine initial sufficiently long finite subsequenc...

Ros?anowski and Shelah [Small-large subgroups of the reals, Math. Slov. 68(3) (2018) 473–484] asked whether every locally compact non-discrete group has a null but non-meager subgroup, conversely, it is consistent with [Formula: see text] that in meager subgroup always null. They gave affirmative answers for both questions case Cantor reals. In this paper, we give general case.