If k is a positive real number, we say that a set S of real numbers is k-sum-free if there do not exist x, y, z in S such that x+y = kz. For k greater than or equal to 4 we find the essentially unique measurable k-sum-free subset of (0, 1] of maximum size.

Thermal microstructure profiling is an established technique for investigating turbulent mixing and stratification in lakes oceans. However, it provides only quasi-instantaneous, 1-D snapshots. Other approaches to measuring these phenomena exist, but each has logistic and/or quality weaknesses. Hence, processes remain greatly under-sampled. This paper contributes addressing this problem by pres...

Purpose: This in vitro study aimed to evaluate the influence of fatigue loading on fracture resistance endodontically treated molars restored with endocrowns using different machinable blocks. Methods: Endodontically mandibular first were prepared a standardized method. Specimens divided into 4 groups (n = 10).Anatomically shaped manufactured VITA ENAMIC (VE) and KATANA Zirconia (KZ). Layered I...

We study the effects of symmetry-breaking perturbations in out-of-equilibrium quantum dynamics many-body systems slowly driven by a time-dependent symmetry-preserving parameter, across critical regime associated with continuous transition (CQT). For this purpose, we analyze arising from generalized Kibble-Zurek (KZ) protocols, within dynamic renormalization-group framework allowing for finite-s...

Spatiotemporal characteristics of surface ozone (O3) variations over South Korea are investigated with consideration of meteorological factors and timescales based on the Kolmogorov–Zurbenko filter (KZ filter), using measurement data at 124 air quality monitoring sites and 72 weather stations for the 12 yr period of 1999–2010. In general, O3 levels at coastal cities are high due to dynamic effe...

We investigate the constraints imposed on the weak mixing angles by the K "-K " mass matrix and B meson decay in left-right symmetric gauge thee ries. In a class of such theories with manifest left-right symmetry the domain of Kobayashi-Maskawa angles allowed by the Ki-Kz mass difference has no overlap with-that allowed by B meson decay.