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The inverse scattering problem on the half-axis for long range potentials is studied. It is shown that the solution of the inverse problem contains arbitrary real parameters iven if no bound states are present. Connections with the inverse problem on the whole axis are discussed.
The topological group D-k(S) of diffeomorphisms of the unit circle 5 of Sobolev class H-k, for k large enough, is a Banach manifold modeled on the Hilbert space H-k(S). In this paper we show that the H-1 right-invariant metric obtained by right-translation of the H-1 inner product on TidDk(S)similar or equal to H-k(S) defines a smooth Riemannian metric on D-k(S), and we explicitly construct a comp
Some clinical results indicate that somatostatin (sms) might be useful in the treatment of advanced prostate cancer (HRPC). Because of its transient in vivo half-life only more stable derivatives of sms are of interest in this context. Recent studies have shown that natural sms can be conjugated to a carbohydrate (smsdx) with preservation of sms-like effects on the prostatic tumor cell proteome. T
Extreme climate events such as severe droughts and floods have become more frequent and widespread in the 21st Century. Recent studies have revealed the tele-connections between Madden–Julian Oscillation (MJO) and extreme precipitation over different regions such as South America, India and China. This study investigates the influence of MJO on global extreme dry and wet conditions, and how the st
We analyse how the concept of the ether, playing the role of absolute space, is still present in physics. When the problem is considered in the context of classical mechanics, we show that vestiges of absolute space can be found in the standard presentation of inertial systems. We offer an alternative -- fully relational -- definition of inertial systems which not only eliminates the problem but i
We show that certain right-invariant metrics endow the infinite-dimensional Lie group of all smooth orientation-preserving diffeomorphisms of the circle with a Riemannian structure. The study of the Riemannian exponential map allows us to prove infinite-dimensional counterparts of results from classical Riemannian geometry: the Riemannian exponential map is a smooth local diffeomorphism and the le
Necessary and sufficient conditions are given for a Lorentz space L8phi,q) to have a trivial conjugat space. Analogous results are derived for quasi-normed spaces
This paper investigates the fundamental free-space antenna translation channel as an important step in understanding and developing the spherical waves as a generic tool for MIMO channel modeling. The model is demonstrated by quantifying the theoretical MIMO capacity associated with antennas exciting high order modes in the Fresnel and Fraunhofer regions.
The role of gender relations in shaping technological transitions is widely acknowledged but remains understudied. This study uses historical data to analyze the gendering of early 20th century American cars and its impact. Previous research has argued that early electric vehicles were construed as a women's car, contributing to its demise. Other work has questioned to what extent automotive prefe
At a geological time-scale, seas rise aloft and mountains crumble. We are currently in the middle of a debate on whether—in order to acknowledge the pervasive and geologically significant traces of human action on the planet—our present era should be labelled the “Anthropocene”, and if so, what would be the cut-off date for the commencement of that era. At the same moment, we are already contempla
The goal of this article is to examine the nature of interaction between the Georgian Orthodox Church (GOC) and the state during the pandemic. The article shows how the church’s gradual acknowledgement of the deadly character of the virus coincided with a strict adherence to certain highly risky religious practices (such as communion from the same spoon), while the Georgian government’s stance in
How can locomotion be combined with the use of screen based digital devices? This paper deals with the ways that GPS (Global Positioning System) is integrated with the mundane practices of wayfinding and moving on foot. I’ve mainly studied how handheld GPS-devices are used by so called geo-cachers. The paper focus on ideas about cognition, spatial awareness and locomotion, and discuss how complex
The muon anomalous magnetic moment continues to attract attention due to the possible tension between the experimentally measured value and the theoretical Standard Model prediction. With the aim to reduce the uncertainty on the hadronic light-by-light contribution to the magnetic moment, we derive short-distance constraints in the Melnikov-Vainshtein regime which are useful for data-driven determ
A method for including night-time refreezing of the top layer of a snowpack in the degree-day method for computing daily snowmelt rates is presented. It is found that during days of large diurnal temperature variations the daily melt is more determined by the day-time conditions than by the daily mean conditions. Applications are made to an open area and a forested area. The refreezing-degree-day
