În acest articol prezentăm câteva metode şi tehnici noi, foarte practice, pentru calculul unor valori agregate în structuri şi baze de date multidimensionale. De asemenea, considerăm şi problema determinării eficiente a celei de-a k-a valori minime din mulţimi definite prin diverse constrângeri. A treia contribuţie a articolului este reprezentată de câteva extensii şi aplicaţii ale unor problem...

Due to the sink node crucial position, its location privacy is becoming one of the major issues in wireless sensor networks (WSNs) which requires ultimate protection. Particularly, the WSNs successfulness is endanger as the wireless transmission nodes are susceptive to illicit tracing and detection. While privacy of the message can be ensured through encryption content, this paper formalizes a ...

Tehran has changed a lot at the time of Nasiruddin Shah. The changes began from the destruction of Tahmāsbī fortress and constructing a new one and development of the city in 1867. These were done because the town was small; therefore, Nasiruddin Shah ordered to make the changes. There is a very few information about the formation of the development and its details. The existing data can be ext...

This paper is the first part of an ongoing project aimed at providing a local minimality criterion, based on a second variation approach, for the triple point configurations of the Mumford-Shah functional.

We prove an ε-regularity theorem at the endpoint of connected arcs for 2-dimensional Mumford-Shah minimizers. In particular we show that, if in a given ball Br(x) the jump set of a given MumfordShah minimizer is sufficiently close, in the Hausdorff distance, to a radius of Br(x), then in a smaller ball the jump set is a connected arc which terminates at some interior point y0 and it is C 1,α up...

We prove higher integrability for the gradient of local minimizers of the Mumford-Shah energy functional, providing a positive answer to a conjecture of De Giorgi [5].