Imatges i matemàtiques

Darrerament les càmeres fotogràfiques digitals s'han posat de moda, ara que els preus comencen a ser més assequibles s'estan convertint en un element de consum, el regal idoni en molts casos. Les càmeres tradicionals, les que utilitzen el típic rodet, també anomenades analògiques, estan trobant el seu lloc en els calaixos de les coses velles (excepte per als professionals del món de la fotografia). En aquesta col·laboració parlarem d'una forma molt elemental d'alguna matemàtica que hi ha dins d'una càmera digital

Marcinkiewicz-Zygmund inequalities

We study a generalization of the classical Marcinkiewicz-Zygmund inequalities. We relate this problem to the sampling sequences in the Paley-Wiener space and by using this analogy we give sharp necessary and sufficient computable conditions for a family of points to satisfy the Marcinkiewicz-Zygmund inequalities

Continuous symmetry and shape measures

Postprint (published version

Water demand estimation and outlier detection from smart meter data using classification and Big Data methods

Automatic Meter Reading (AMR) systems are being deployed in many cities to obtain insight into the status and the behavior of District Metering Area (DMA) with more granularity. Until now, the water consumption readings of the population were taken one per month or one each two-months. In contrast, AMR systems provide hourly readings for households and more frequent readings for big consumers. On the one hand, this paper aims at predicting water demand and detect suspicious behaviors – e.g. a leak, a smart meter break down or even a fraud – by extracting water consumption patterns. On the other hand, the main contribution of this paper, a software framework, based on Big Data techniques, is presented to tackle the barriers of traditional data storage and data analysis since the volume of AMR data collected by Water Utilities is enormous and it is continuously growing because this technology is expanding .Peer ReviewedPostprint (author’s final draft

The GF Mathematical Grammar Library: from OpenMath to natural languages

Postprint (published version