Inspired by the theory of p-adic differential equations, this paper introduces an analogous theory for q-difference equations over a local field, when |q| = 1. We define some basic concepts, for instance the generic radius of convergence, introduce technical tools, such as a twisted Taylor formula for analytic functions, and prove some fundamental statements, such as an effective bound theorem,...

Ribonucleic acids are highly conserved essential parts of cellular life. RNA function is determined to a large extent by its hydrodynamic behaviour. The presented study proposes a strategy to predict the hydrodynamic behaviour of RNA single strands on the basis of the polymer size. By atom-level shell-modelling of high-resolution structures, hydrodynamic radius and diffusion coefficient of evol...

The aim of this paper is to obtain new necessary and sufficient conditions for the uniform exponential stability of variational difference equations with applications to robustness problems. We prove characterizations for exponential stability of variational difference equations using translation invariant sequence spaces and emphasize the importance of each hypothesis. We introduce a new conce...

We investigated a sample of 15 luminous high-redshift quasars (3.3 z 5.1) to measure the mass of their super-massive black holes (SMBH) and compare, for the first time, results based on C iv, Mg ii, and Hβ emission lines at high-redshifts. Assuming gravitationally bound orbits as dominant broad-line region gas motion, we determine black hole masses in the range of M bh ≃ 2 × 10 8 M ⊙ up to M bh...

We present the photometric analysis of six short-period systems (EI Oct, V336 TrA, NX Boo, V356 PS and V2282 Cyg). This is first these except for TrA. Observations were conducted 27 nights at three observatories in northern southern hemispheres. calculated a new ephemeris each using our minimum times additional literature. The Markov Chain Monte Carlo (MCMC) approach was used to determine eclip...