We consider a family of dense G? subsets [0, 1], defined as intersections unions small uniformly distributed intervals, and study their logarithmic capacity. Changing the speed at which lengths generating intervals decrease, we observe sharp phase transition from full to zero Such set can be considered toy model for exceptional energies in parametric version Furstenberg theorem on random matrix...

We construct a finitely presented group G with non-quadratic Dehn function f majorizable by a quadratic function on arbitrary long intervals.

The YL Tunnel of the Chongqing–Kunming high-speed railway project, a key project whole line, is typical ultra-long deep tunnel facing geologic problems, such as rock bursts, large deformation, water inrush, and toxic or harmful gas leakage, among which high ground stress results in most serious damage. This study incorporates existing studies materials, well data on obtained through tests using...

background: short birth intervals have been associated with adverse health outcomes, including infant, child and maternal mortality. objective:  we aimed to investigate the duration and determinants of inter birth intervals among women of reproductive age in yazd, iran. materials and methods:  a cluster sampling technique was used to select 400 ever-married women aged 15-49 years in yazd, islam...