Harry J. Grier 1940-2018

René J. Dubos, 1940

CombinaTexas 2018 February 10 – 11 , 2018

In this talk we give combinatorial proofs of q-Stirling identities using restricted growth words. This includes a poset theoretic proof of Carlitz’s identity, a new proof of the q-Frobenius identity of Garsia and Remmel and of Ehrenborg’s Hankel q-Stirling determinantal identity. We also develop a two parameter generalization to unify identities of Mercier and include a symmetric function versi...

The Dirty Harry Problem

Policing constantly places its practitioners in situations in which good ends can be achieved by dirty means. When the ends to be achieved are urgent and unquestionably good and only a dirty means will work to achieve them, the policeman faces a genuine moral dilemma. A genuine moral dilemma is a situation from which one cannot emerge innocent no matter what one does-employ a dirty means, emplo...

Erratum: Roche, J. The Epithelial-to-Mesenchymal Transition in Cancer. Cancers, 2018, 10, 52

The author wishes to make the following correction to the paper[...].

Harry Beal Torrey , Matthew

I t is now 16 years since Nowikoff (1908) accelerated the division rate of Paramecium by adding thyroid gland to his cultures. Later , Shumway (1914) reached the same conclusion after a series of more critical and painstaking experiments, and in the following year Budington and Harvey (1915) showed tha t thyroids from various vertebrates would produce similar results. Still later, Shumway (1917...