The prospect of finding love may be scary but the prospect of committing to a relationship for the rest of your life is almost certainly scary. The secretary problem is a parallel to romantic decision making where an individual decides when to be satisfied with a selection choice in the face of uncertain future options. However, the secretary problem and its variations still do not provide a pr...

The Sliding Window Secretary Problem allows a window of choices to the Classical Secretary Problem, in which there is the option to choose the previous K choices immediately prior to the current choice. We consider a case of this sequential choice problem in which the interviewer has a finite, known number of choices and can only discern the relative ranks of choices, and in which every permuta...

Abstract The Russian invasion of Ukraine was a watershed moment in global security affairs comparable to the end World War ii and Cold War. UN Secretary-General António Guterres has forewarned “Geostrategic divides … are paralyzing response dramatic challenges we face.” This article assesses implications this paralysis for peacekeeping suggests what US nato can do cope with impact. Five UN’s si...

We prove that for every proper minor-closed class M of Fp-representable matroids, there exists a O(1)-competitive algorithm for the matroid secretary problem on M. This result relies on the extremely powerful matroid minor structure theory being developed by Geelen, Gerards and Whittle. We also note that for asymptotically almost all matroids, the matroid secretary algorithm that selects a rand...

THE ROYAL COLLEGE of Nursing may ditch the pay Review Body system in favour of an alternative national mechanism, RCN general secretary Christine Hancock said in her Congress address.

The future of the Nursing and the Midwifery Council (NMC) was on the agenda when health minister Ben Bradshaw met RCN general secretary Peter Carter at the Labour Party conference this week.

In this paper, we propose a framework to infer the topic preferences of Donald Trump’s followers on Twitter. We first use latent Dirichlet allocation (LDA) to derive the weighted mixture of topics for each Trump tweet. Then we use negative binomial regression to model the “likes,” with the weights of each topic serving as explanatory variables. Our study shows that attacking Democrats such as P...

In 1998, after decades of litigation, the major tobacco companies negotiated a settlement reimbursing the Medicare expenses that forty-six states incurred to treat citizens suffering from the adverse effects of smoking. This settlement, as well as its preceding litigation, introduced a new method through which unpopular industries could be persuaded, if not forced, to change their business prac...

proceedings elucidate a central historic paradox articulated by the keynote speaker. Wilbur Cohen was former HEW administrator and Secretary under Presidents Kennedy and Johnson. He directed passage of the Medicare law, then saw it implemented. Cohen theorized in his keynote address that Medicare "was born more of social conviction than of research findings". Ironically this publication, which ...