The NHS celebrated

The Gavarnie Cirque : a celebrated ”nature’s colossus

New Perspectives and some Celebrated Quantum Inequalities

Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given in terms of the matrix perspective of an operator convex function. A matrix analogue of Maréchal’s extended perspectives provides additional inequalities, including a p + q ≤ 1 result of Lieb.

Morality and Markets in the NHS

Since its establishment in 1948, the history of the National Health Service (NHS) has been characterized by organisational turbulence and system reform. At the same time, progress in science, medicine and technology throughout the western world have revolutionized the delivery of healthcare. The NHS has become a much loved, if much critiqued, national treasure. It is against this backdrop that ...

On Hoffman's celebrated cycling LP example

In this short note we answer two questions that naturally arise while dealing with Hoffman’s celebrated 50-years-old cycling example for the primal simplex method to solve linear programs, where an angle θ and a scaling factor ω are adjustable parameters in his example. In particular, we determine what conditions have to be imposed on ω for cycling to occur with θ = 2π/5, and what on θ with |ω|...

Excellence in healthcare is celebrated in The BMJ Awards 2015.