Accurate data on gross domestic product (GDP) at pixel level are needed to understand the dynamics of regional economies. GDP spatialization is the basis of quantitative analysis on economic diversities of different administrative divisions and areas with different natural or humanistic attributes. Data from the Visible Infrared Imaging Radiometer Suite (VIIRS), carried by the Suomi National Po...

Given any strictly convex norm ‖·‖ on R2 that is C1 in R2∖{0}, we study the generalized Aviles-Giga functional Iϵ(m):=∫Ω(ϵ|∇m|2+1ϵ(1−‖m‖2)2) dx, for Ω⊂R2 and m:Ω→R2 satisfying ∇·m=0. Using, as euclidean case ‖·‖=|·|, concept of entropies limit equation ‖m‖=1, ∇·m=0, obtain following. First, prove compactness Lp sequences bounded energy. Second, rigidity zero-energy states (limits vanishing ener...

The arterial pulse-wave transit time can be measured between the ECG R-wave and the finger pulse (rPTT), and has been shown previously to have a linear correlation with blood pressure (BP). We hypothesized that the relationship between rPTT, preejection period (PEP; the R-wave/mechanical cardiac delay), and BP would vary with different vasoactive drugs. Twelve healthy men (mean age 22 yr) were ...

We will determine whether a given surgery on a 2-bridge knot is reducible, toroidal, Seifert bered, or hyperbolic. In [Th1] Thurston showed that if K is a hyperbolic knot, then all but nitely many surgeries on K are hyperbolic. In particular, for the Figure 8 knot, it was shown that exactly 9 nontrivial surgeries are non-hyperbolic. Let Kp=q be a 2-bridge knot associated to the rational number ...

I am trying to understand a beautiful work of Pierre Schapira [5]. Notations and Conventions • For any set S we denote by IS the identity map S → S. For any subset A ⊂ S we denote by 1A the characteristic function of A. • In the sequel all manifolds will be assumed real analytic. A morphism of manifolds will be a real analytic map between two manifolds. Introduction Suppose we are given a simpl...