Periodicity pitch is the most salient and important of all pitch percepts. Psychoacoustical models of this percept have long postulated the existence of internalized harmonic templates against which incoming resolved spectra can be compared, and pitch determined according to the best matching templates [J. Goldstein, J. Acoust. Soc. Am. 54, 1496-1516 (1973)]. However, it has been a mystery wher...

Large impacts are credited with the most devastating mass extinctions in Earth’s history and the Cretaceous – Tertiary (K/T) boundary impact is the strongest and sole direct support for this view. A review of the five largest Phanerozoic mass extinctions provides no support that impacts with craters up to 180 km in diameter caused significant species extinctions. This includes the 170 km-diamet...

Let (X ,d) be a Polish space, CB(X) the family of all nonempty closed and bounded subsets of X , and (Ω,Σ) a measurable space. A pair of a hybrid measurable mappings f : Ω×X → X and T : Ω×X → CB(X), satisfying the inequality (1.2), are introduced and investigated. It is proved that if X is complete, T(ω,·), f (ω,·) are continuous for all ω ∈Ω, T(·,x), f (·,x) are measurable for all x ∈ X , and ...

Abstract. Solar flare sympathy is the triggering of a flare in one active region by a flare in another. Statistical tests for flare sympathy have returned varying results. However, existing tests have relied on flaring rates in active regions being constant in time, or else have attempted to model the rate variation, which is a difficult task. A simple test is described which is independent of ...

In this paper, we prove some …xed point theorems for two hybrid pairs of mappings in 2-metric spaces by using some weaker conditions. Mathematics subject classi…cation: 47H10, 54H25. Key words and phrases: Coincidence point, common …xed point, compatible maps, weak commutativity of type (KB) :

In this paper, we consider variational inequality problem over the product of sets which is equivalent to the problem of system of variational inequalities. These two problems are studied for single valued maps as well as for multivalued maps. New concept of pseudomonotonicity in the sense of Brézis is introduced to prove the existence of a solution of our problems. As an application of our res...

In entanglement-based quantum key distribution (QKD), the generation and detection of multi-photon modes leads to a trade-off between entanglement visibility and two-fold coincidence events when maximizing the secure key rate (SKR). We produce a predictive model for the optimal two-fold coincidence probability per coincidence window given the channel efficiency and detector dark count rate of a...

We critically review several recent approaches to solving the two cosmological constant problems. The ‘‘old’’ problem is the discrepancy between the observed value of rL and the large values suggested by particle physics models. The second problem is the ‘‘time coincidence’’ between the epoch of galaxy formation tG and the epoch of L domination tL . It is conceivable that the ‘‘old’’ problem ca...