Depending on a parameter h ∈ ( 0 , 1 ] let { X t ) M } be class of centered Gaussian fields indexed by compact manifolds with positive reach. For locally stationary we study the asymptotic excursion probabilities . Two cases are considered: (i) is fixed and (ii) → These results also extended to obtain limit behaviors extremes χ -fields manifolds.

PKS 1830-211 is the strongest known radio gravitational lens by almost an order of magnitude and has the potential to provide a measurement of Ho, provided the lensing system can be parameterized. Attempts to identify optical counterparts, to measure redshifts, have so far proved unsuccessful and this has lead to radio and millimetre spectral line observations. We present our discovery of an ab...

Abstract One of the challenges in using integrated optical biosensors is their ability to operate environments outside laboratories. This occurs, among other reasons, because suitable source coupling components are not considered at design stage. In this work, a highly selective, compact and efficient in-coupling method proposed with aim develop genuine Point-of-care (PoC) platform. The configu...

a compact and sharp-rejection ultra-wideband (uwb) microstrip bandpass filter (bpf) is presented. the proposed filter is constructed with multiple-mode resonator (mmr) and split ring resonator (srr). moreover, proposed structure consists of two doublets parallel coupling gaps at each side of a microstrip ring. in comparison with some other filters, this structure shows a significantly wider pas...

We call a comb a map f : I → [0,∞), where I is a compact interval, such that {f ≥ ε} is finite for any ε. A comb induces a (pseudo)-distance d̄f on {f = 0} defined by d̄f (s, t) = max(s∧t,s∨t) f . We describe the completion Ī of {f = 0} for this metric, which is a compact ultrametric space called comb metric space. Conversely, we prove that any compact, ultrametric space (U, d) without isolated p...

We prove that the first-order theory of the Medvedev degrees, the first-order theory of the Muchnik degrees, and the third-order theory of true arithmetic are pairwise recursively isomorphic (obtained independently by Lewis, Nies, and Sorbi [7]). We then restrict our attention to the degrees of closed sets and prove that the following theories are pairwise recursively isomorphic: the first-orde...

We investigate the diffraction conditions and associated formation of stop gaps for waves in crystals with different Bravais lattices. We identify a prominent stop gap in high-symmetry directions that occurs at a frequency below the ubiquitous first-order Bragg condition. This sub-Bragg-diffraction condition is demonstrated by reflectance spectroscopy on two-dimensional photonic crystals with a...

Background: There is a relationship between diseases and the quality of life. Epilepsy is a disease that is unpredictable and uncontrollable and its actions are limited to scattered and brief education. Therefore, this study aimed to investigate the effect of family-centered empowerment program on the quality of life of mothers with epileptic children. Methods:</strong...

We consider tiling dynamical systems and topological conjugacies between them. We prove that the criterion of being finite type is invariant under topological conjugacy. For substitution tiling systems under rather general conditions, including the Penrose and pinwheel systems, we show that substitutions are invertible and that conjugacies are generalized sliding block codes. * Research support...