Working at an oil and gas facility, such as a drilling rig, production processing or storage involves various challenges, including health safety risks. It is possible to leverage emerging digital technologies smart sensors, wearable mobile devices, big data analytics, cloud computing, extended reality technologies, robotic systems, drones mitigate the challenges faced by workers. While these a...

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

Landin’s J operator was the first control operator for functional languages. It was specified with an extension of the SECD machine, which was the first abstract machine for functional languages. We present a family of compositional evaluation functions corresponding to this extension of the SECD machine, using a series of elementary transformations (transformation into continuation-passing sty...

This report describes MSAD, a tool that applies source transformation automatic differentiation to MATLAB programs involving arbitrary vector-valued functions. The transformed programs compute both the results of the original program and the first derivatives. The current version of MSAD performs a complete source transformation for the forward mode of AD by specialising and inlining operations...

We study the connection between Hamiltonian dynamics and irreversible, stochastic equations, such as the Langevin equation. We consider a simple model of a classical harmonic oscillator (Brownian particle) coupled to a field (heat bath). In traditional approaches Langevin-type equations have been derived from Hamiltonian dynamics, but these equations contain memory terms and are both time-rever...

A Nevanlinna function is a function which is analytic in the open upper half plane and has a non-negative imaginary part there. In this paper we study a fractional linear transformation for a Nevanlinna function n with a suitable asymptotic expansion at ∞, that is an analogue of the Schur transformation for contractive analytic functions in the unit disc. Applying the transformation p times we ...