The flow of a liquid around an obstacle can be described by a set of partial differential equations, known as the Navier–Stokes equations. It requires very complex calculations to solve these equations for a given problem. Moreover it is very tedious to describe the boundary conditions for non–trivial problems. Instead of using numerical methods to compute the liquid flow one can also describe ...

The augmented predecessor Indexing method is a procedure for efficiently updating the basis representation, flows and node potentials in an adjacent extreme point (or "simplex" type) method for network problems, utilizing ideas due to Ellis Johnson in his proposed application of a triple-label representation to networks. The procedure is extended here to accommodate the more complex basis struc...

We investigate assume-guarantee reasoning for global specifications consisting of conjunctions of local specifications. We present a sound and complete assume-guarantee rule that permits reasoning about individual modules for local specifications and draws conclusions about global specifications of distributed systems. We illustrate our approach with an example from the field of network congest...

To determine the polarization character of gravitational waves, we use strain data from GW170814 binary black hole coalescence event detected by three LIGO-Virgo observatories, extracting wave signal amplitude ratios directly those data. Employing a geometric approach that links to properties, find there is range source sky locations, partially overlapping LIGI-Virgo 90% credible for which vect...

Non-Hermitian systems show a non-Hermitian skin effect, where the bulk states are localized at boundary of with open conditions. In this paper, we study dependence localization length eigenstates on system size in specific model critical energy spectrum undergoes discontinuous transition thermodynamic limit. We analytically that exhibit remarkable localization, known as scale-free is proportion...