2021: Computing's divided future

Data Motion and High Performance ComputingS

EEcient data motion has been key in high performance computing almost since the rst electronic computers were built. Providing suucient memory bandwidth to balance the capacity of processors led to memory hierarchies, banked and interleaved memories. With the rapid evolution of MOS technologies, microprocessor and memory designs, it is realistic to build systems with thousands of processors and...

Computational Divided Differencing and Divided-Difference Arithmetics

Tools for computational differentiation transform a program that computes a numerical function F(x) into a related program that computes F ′(x) (the derivative of F). This paper describes how techniques similar to those used in computational-differentiation tools can be used to implement other program transformations—in particular, a variety of transformations for computational divided differen...

EMBL Programme 2017-2021: Digital Biology

Divided Differences

Starting with a novel definition of divided differences, this essay derives and discusses the basic properties of, and facts about, (univariate) divided differences. “It belongs to the most beautiful I have been able to do.”[Newton 1676]

House Divided

In the prophetic words of Abraham Lincoln in addressing the antebellum Nation, " A house divided against itself cannot stand. " As physicians, we too live in a house divided. We factionalize along lines of specialty, practice size, practice location, ethnicity, etc. As emergency physicians, we are among the most egregious in splintering the House of Medicine. We have subdivided our small young ...