A city and its landscape across time: Samarkand in the ancient Sogdiana (Uzbekistan)

Located in the heartland of Central Asia, Samarkand has always been an economic, cultural, ethnic, linguistic and religious hub along the ancient Silk Road. A regional approach, based on a GIS remote sensing assessment followed by field validation, was used here to reconstruct the urban evolution of Samarkand in connection with its hinterland. The basic archaeological features in the landscape (anthropic mounds, canals and burials) allowed us to reconstruct the main forms of land use and resource exploitation according to site distribution and chronology. If Samarkand was established as early as the Achaemenid period (late 6th century BCE), the evidence dated to that time from its hinterland is scarce. A first significant increase occurred during the post-Hellenistic centuries (3rd-1st centuries BCE), and reached the peak at the time of the most intense trade along the Silk Road just before the major changes following the Arab conquest of the early 8th century CE. Data also demonstrated how the development of Samarkand must be closely linked with a proper exploitation of its territory. A massive and complex irrigation system in the floodplain ensured the supply of water necessary to develop extensive farming and daily-life activities, while rain-fed foothills were used as pastures

On a Durrmeyer-type modification of the Exponential sampling series

AbstractIn this paper we introduce the exponential sampling Durrmeyer series. We discuss pointwise and uniform convergence properties and an asymptotic formula of Voronovskaja type. Quantitative results are given, using the usual modulus of continuity for uniformly continuous functions. Some examples are also described

A note on the Voronovskaja theorem for Mellin–Fejer convolution operators

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QUANTITATIVE APPROXIMATION PROPERTIES FOR ITERATES OF MOMENT OPERATOR

Here we state a quantitative approximation theorem by means of nets of certain modified Hadamard integrals, using iterates of moment type operators, for functions f defined over the positive real semi-axis ]0, +∞[, having Mellin derivatives. The main tool is a suitable K-functional which is compatible with the structure of the multiplicative group ]0, +∞[. Some numerical examples and graphical representations are illustrated

FAST NETWORK ADDRESS TRANSLATION TRAVERSAL FOR CONNECTION MIGRATION

Conventional mechanisms for traversing a network address translation (NAT) device can be slow and, as such, may limit dynamic traffic management of traffic flows through network edge devices. Presented herein are techniques that provide a mechanism to support connection migration (e.g., from the cloud to the edge) with fast NAT traversal