By Buekenhout F., et al. (eds.)
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Extra info for Jacques Tits collected works, volume 1
Example text
The algebra and calculi like CCS, CSP, and algebra of processes created earlier revived. New models appeared, including applications oriented to bioinformatics (mobile ambients, for example). The model for interaction of agents and environments [193] emerged in the mid-1990s as a response to the topical (for that time) idea of shifting paradigms from computation to interaction. Another goal was to unify different approaches existing in the theory of interacting concurrent processes. The notion of insertion function and transformation of environment behavior, performed by recursive insertion of agents to environments of different levels, is at the heart of the model of interaction of agents and environments.
In terms of performance, the expediency of k times data compression with relative packing/unpacking performance v ¼ dN/zN is determined by the value of compression isoefficiency coefficient [199]: E¼ 1 NÀ k 0 1 Nþ À1 : v If E > 1 then the compression is efficient even for the same number of processing elements N* ¼ N. It is the best case. In particular, this condition is provided by v > k=ðk À 1Þ: However, if for a particular method of compression E < N/Nmax, where Nmax is the number of cluster cores, then the compression method application for the computer is not appropriate because it does not accelerate the parallel program.
1. Two algorithms Linear Splines and Linear Splines + LZW yield the compression isoefficiency E > 1, which means the best recommendation for use. Linear Splines, which is the second by isoefficiency but faster and easier to implement, was selected for implementation. In strict accordance with the theory, Linear Splines ensure stable acceleration of Duplex Wave Migration (Fig. 8), and the optimal number of processes (the point of run time inflection) is shifted to bigger values (24 instead of 20).