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Since 1905, when they were annexed by Japan’s Shimane prefecture, Liancourt Rocks—known as Dokdo by the Koreans and as Takeshima by the Japanese—have been a sticking point in relations between the two countries. Although South Korea has had effective control over the islets since the 1950s, Japan continues to contest those claims. More recently in the 2000s, several incidents have served to agg...

Let s ∈ R and p ≥ 1; the Sobolev space Lp,s(Rd) is the space of tempered distributions f such that (Id−∆)s/2 f ∈ Lp, where (Id−∆)s/2 is the Fourier multiplier by (1 + |ξ|2)s/2. If s > d/p, then Lp,s is composed of continuous functions; more precisely, the Sobolev embeddings state that Lp,s↩Cs−d/p, see [24, Chapter 11]. In order to state in which sense this embedding is sharp, we need to recall ...

The reflected radiation by observed surface is highly dependent on both sun illumination and satellite observation angles. These two angles are also described, respectively, as incident and reflected angles. The geometry-dependence of surface reflectance is usually corrected by a tailored Bi-directional Reflectance Distribution Function (BRDF). It is the most common tool used to eliminate or to...

The behavior of the Feynman-Kac propagator corresponding to a time-dependent measure on Rn is studied. We prove the boundedness of the propagator in various function spaces on Rn, and obtain a uniqueness theorem for an exponentially bounded distributional solution to a nonautonomous heat equation.

An analysis of notifications of tuberculosis in the City of Birmingham during the three-year period 1960-62 related to the population data from the Census of 1961 showed important differences between the notification rates of groups defined by their place of birth, and also differences in the age distributions of notification rates between these groups (Springett, 1964). A survey of notificatio...

Approximate equations are derived for the amount of information a nerve cell or group of nerve cells can transmit about a stimulus of a given duration using a frequency code (i.e., assuming the mean frequency of nerve impulses measures the intensity of a maintained stimulus). The equations take into account the variability of successive interspike intervals, and any serial correlations between ...