Oncologist and tireless champion of cancer research. He was born in Glasgow, UK, on Jan 13, 1945, died Bristol, with non-Hodgkin lymphoma COVID-19 20, 2021, aged 76 years. Best known for his directorship the now superseded Cancer Research Campaign (CRC), medical oncologist Gordon McVie passionate support CRC used every opportunity to publicise UK charity its scientific work. “He a great communi...

PATH co-founder and radical visionary in global health. He was born Toronto, ON, Canada, on April 25, 1935, died of lung cancer Seattle, WA, USA Aug 21, 2020, aged 85 years. In 1972, working for the Ford Foundation Brazil, Gordon Perkin advanced an unconventional approach. What prompted it his attempt to devise a new strategy improving access contraception people low-income middle-income countr...

Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained...

We study the sine-Gordon model in two dimensional space time in two different domains. For β > 8π and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the the model is asymptotically free in the infrared. For β < 8π and weak coupling, we introduce an infrared cutoff and study the ultraviolet behavior. A renormalizatio...

Colony. He was elected F.R.C.P. (Edinburgh) in 1926 and was Morison Lecturer in 1947: he was a Fellow of the Royal Society of Medicine, Fellow and ex President of the Royal Medical Society of Edinburgh, twice Chairman of the Bath Division, and in 1947, President of the Bath, Bristol and Somerset Branch of the B.M.A. In 1929 he was elected to the Council of the B.M.A. and shortly after this beca...

Software systems are complex. They coordinate components written at di erent times, by di erent people, perhaps even in di erent programming languages, to accomplish shared goals. Operating systems, for example, contain device drivers written by third parties, which must be trusted (or proved) not to crash the kernel. OSs are also typically implemented in multiple languages (e.g., context switc...