In distributed computing systems slow working nodes, known as stragglers, can greatly extend finishing times. Coded is a technique that enables straggler-resistant computation. Most coded techniques presented to date provide robustness by ensuring the time finish depends only on set of fastest nodes. However, while stragglers do compute less work than non-stragglers, in real-world commercial cl...

These are preliminary notes 1 for a modern account of the theory of complex multiplication. A shortened (minimal) version will be included in my book on Shimura varieties, and a complete longer version may one day be published separately. Please send comments and corrections to me at [email protected]. 1 This should be taken seriously: there are omissions, repetitions, clumsy statements and proof...

In this paper, we prove that the circle multiplication associated with the shifted ‘I% bonacci sequence: (2’2)) is associative for all s 2 5. @ 2002 Elsevier Science Ltd. All rights reserved.