in its course of evolution, the sassanian rule accepted a change in temporal exigencies, condition and manner of governance of each ruler where more attention was paid to the institutional establishment, grades/ranking, titles, symbols and administrative hierarchy. in a way, the organizational manner, to a larger extent, could engulf the period into a curtain of ambiguity. one of those ranks wa...

Elegant strategies can be constructed without reference to intelligence but persuading policymakers to implement them without knowing what intelligence might have to say about their likely efficacy and unintended consequences would be exceedingly difficult. Intelligence-derived information and insights should not dictate the goals of grand strategy, but they should inform decisions about what t...

Because of intensive animal farming, the problem of animal wastes disposal has become very acute in the Reunion Island, namely for liquid wastes such as pig slurry. In this paper we address the problem of determining efficient supply policies of a slurry treatment plant collectively managed by individual farmers. For this, we built a simulation model with a continuous part (i.e., slurry stocks ...

SPECIALTY GRAND CHALLENGE article Front. Catal., 15 April 2021 | https://doi.org/10.3389/fctls.2021.658965

We show that there are universal positive constants c and C such the mixing time τmix for the fifteen puzzle in an n× n torus satisfies cn logn ≤ τmix ≤ Cn log n.