and Applied Analysis 3 Let {xn} be a bounded sequence in a CAT 0 space X. For x ∈ X, one sets r x, {xn} lim sup n→∞ d x, xn . 2.5 The asymptotic radius r {xn} of {xn} is given by r {xn} inf x∈X {r x, {xn} }, 2.6 the asymptotic radius rC {xn} of {xn}with respect to C ⊂ X is given by rC {xn} inf x∈C {r x, {xn} }, 2.7 the asymptotic center A {xn} of {xn} is the set A {xn} {x ∈ X : r x, {xn} r {xn}...

In this paper a simple scheme of map colour is introduced for the colour rendering of IFS fractals. The way of incorporating it into Barnsley's random iteration and versions of Hutchinson's deterministic algorithm is detailed. Examples are presented showing an elegant stylised colouring of such fractals as the Barnsley Fern and the Sierpinski gasket that provide attractive motifs for visualizat...

The thermal conductivity (κ) of suspended graphene membranes made by chemical vapor deposition (CVD) was measured by micro-Raman mapping. Cracks and wrinkles present in these suspended graphene membranes were identified by micro-Raman mapping, and κ values and their statistics were obtained on membranes free of such imperfections in a single mapping. Based on this new technique, an average κ va...

Given the current trend towards application interoperability and XML-based data integration, there is an increasing need for XML interfaces to relational database management systems. In this paper we consider the problem of rewriting a DB-to-XML mapping, into several modified mappings in order to support clients that require various portions of the mapping-defined data. Mapping rewriting has th...

Despite the significant number of existing tools, incorporating data into the Linked Open Data cloud remains complicated; hence discouraging data owners to publish their data as Linked Data. Unlocking the semantics of published data, even if they are not provided by the data owners, can contribute to surpass the barriers posed by the low availability of Linked Data and come closer to the realis...

The objective of this work is to conduct a detailed mapping the Héðinsdalsjökull foreland, northern Iceland (65°39′N, 18°55′W). This cirque currently shows variety glacial and periglacial landforms derived from complex deglaciation. Mapping was performed combining traditional hand-drawn digital mapping. A sketch georeferenced in ArcMap 10.7.1, supported on an aerial photograph (year 2000). Its ...

Given nonnegative real sequences a = (αk)k∈Z and b = (βk)k∈Z we study the generated summation operator Sa,b(x) := ( αk [∑ l<k βlxl ]) k∈Z , x = (xk)k∈Z , regarded as a mapping from `p(Z) to `q(Z). We give necessary and sufficient conditions for the boundedness of Sa,b and prove optimal estimates for its entropy numbers relative to the summation properties of a and b. Our results are applied to ...

Evolution of plate-like precipitate of the W phase in an Al-1.9Cu-0.3Mg-0.2Ag (at.%) alloy has been investigated by three dimensional atom probe (3DAP) and transmission electron microscope (TEM) techniques. In an as-quenched alloy, all solute atoms are uniformly dissolved. After 5 s aging at 180¡C, coclusters of Ag and Mg atoms are present. Initially, these co-clusters do not have well defined ...

Let 0 ∈ D+ be a connected domain with analytic boundary on the complex plane C. Then according to the Riemann theorem there exists a function w(z) = 1 r z + ∑∞ j=0 pjz −j , mapping biholomorphically D− = C \D+ to the exterior of the unit disk {w ∈ C : |w| > 1}. From Wiegmann’s and Zabrodin’s rezults it follows that this function is described by the formula logw = log z − ∂t0( 1 2∂t0 + ∑ k>1 z−k...