Obstacle problem for Arithmetic Asian options

We prove existence, regularity and a Feynman-Ka\v{c} representation formula of the strong solution to the free boundary problem arising in the financial problem of the pricing of the American Asian option with arithmetic average

Durability of Wearable Antennas Based on Nonwoven Conductive Fabrics: Experimental Study on Resistance to Washing and Ironing

Adhesive nonwoven conductive fabrics are appealing materials for fabricating fully textile antennas for wearable wireless systems. Wearable antennas should be flexible, lightweight, and mechanically resistant. Additionally, the antenna performance should be robust to activities related to daily use of garments, such as washing and ironing. Accordingly, in this work, the results of several washing tests performed on fully textile antennas fabricated by exploiting three different adhesive nonwoven conductive fabrics are reported

A Network Approach for Wireless Resonant Energy Links Using Relay Resonators

In this paper, a network approach for the analysis of a wireless resonant energy link consisting of N inductively coupled LC resonators is proposed. By using an artificial transmission line approach, the wireless link is modeled as a transmission line described by effective parameters. It is shown that the analyzed system exhibits a passband filter behavior. More specifically, the reported results demonstrate that in the wireless link passband the effective parameters assume negative values resulting in a negative phase delay. Useful design formulas are derived and validated by comparisons with the experimental data

A Wearable Wireless Energy Link for Thin-Film Batteries Charging

A wireless charger for low capacity thin-film batteries is presented. The proposed device consists of a nonradiative wireless resonant energy link and a power management unit. Experimental data referring to a prototype operating in the ISM band centered at 434 MHz are presented and discussed. In more detail, in order to facilitate the integration into wearable accessories (such as handbags or suitcases), the prototype of the wireless energy link was implemented by exploiting a magnetic coupling between two planar resonators fabricated by using a conductive fabric on a layer of leather. From experimental data, it is demonstrated that, at 434 MHz, the RF-to-RF power transfer efficiency of the link is approximately 69.3%. As for the performance of the system as a whole, when an RF power of 7.5 dBm is provided at the input port, a total efficiency of about 29.7% is obtained. Finally, experiments performed for calculating the charging time for a low capacity thin-film battery demonstrated that, for RF input power higher than 6 dBm, the time necessary for recharging the battery is lower than 50 minutes

Wireless resonant energy link for pulse generators implanted in the chest

n/

Emojilingo: Harnessing AI to Translate Words into Emojis

This paper presents an AI experiment of translation into emoji conducted on a glossary from Dante Alighieri’s Divine Comedy. The experiment is part of a project aiming to build up an automated emoji-based pivot language providing an interlingua as a tool for linguistic simplification, accessibility, and international communication: Emojilingo (emojilingo.org). The present test involves human (Emojitaliano) and machine (Chat-GPT) translations in a comparative analysis in order to devise an automated integrated model highlighting emojis’ expressive ability in transferring senses, clarifying semantic obscurities and ambiguities, and simplifying language. A first evaluation highlights Chat-GPT’s ability to deal with a classic archaic literary vocabulary, also raising issues on managing criteria for better grasping the meanings and forms and about the multicultural extent of content transfer