Let K⊂ Rn be a convex body with barycenter at the origin. We show there is a simplex S⊂ K having also barycenter at the origin such that (vol(S)vol(K))1/n≥cn, where c> 0 is an absolute constant. This is achieved using ...

We prove that every complex regular affine ring is differentially simple relative to a set with only two derivations.

A well-known consequence of the ergodic decomposition theorem is that the space of invariant probability Measures of a topological dynamical system, endowed with the weak* topology, is a non-empty metrizable Choquet simplex. ...

My aim in this dissertation is to discuss Quines understanding of the problem of simplicity of scientific hypotheses, i.e., the problem of justifying the choice of a hypothesis or scientific theory based on the (comparative) ...