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The purpose of mapping is to visualize trends and data, making it easier to understand where things are and are not happening. The zip code maps seen earlier in the chapter (for solar power or wealthy zip codes) contain tens of thousands of zip codes in a format readily understandable by most people. A map summarizes information at different levels it is possible to see differences across regions, between urban and rural areas, and for particular geographic areas. And this is just from rudimentary zip code maps.

Flash is a truly multifaceted tool capable of outputting motion graphics and application interfaces with ease.

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to be able to reuse existing components and information resources, and to assemble these components in a exible manner The solutions involved increasing adoption of a serviceoriented model and increasing attention to metadata these are two key characteristics of third-generation systems In fact, the service-oriented approach itself has implications for the information fabric: the exible assembly of Grid resources into a Grid application requires information about the functionality, availability and interfaces of the various components, and this information must have an agreed interpretation that can be processed by machine For further discussion of the service-oriented approach, see the companion Semantic Grid paper Whereas the Grid had traditionally been described in terms of large-scale data and computation, the shift in focus in the third generation was apparent from new descriptions In particular, the terms distributed collaboration and virtual organisation were adopted in the anatomy paper [1].

Proposition 12.1: If a, k, n are positive integers, the complexity of modular exponentiation a k (modulo n) is O((log2 k)(log2 n)2). Proof: The complexity of the multiplication two s-bit numbers in O(s 2). If we write k k0 k1 2 k2 22 ks 1 2s 1 each of the O(log2 k) powers a 2 (modulo n) ( j 1, 2, . . . ) can be computed in time B O((log2 n)2).

The third generation is a more holistic view of Grid computing and can be said to address the infrastructure for e-Science a term that reminds us of the requirements (of doing new science, and of the e-Scientist) rather than the enabling technology As Fox notes [55], the anticipated use of massively parallel computing facilities is only part of the picture that has emerged: there are also a lot more users, hence, loosely coupled distributed computing has not been dominated by the deployment of massively parallel machines There is a strong sense of automation in third-generation systems; for example, when humans can no longer deal with the scale and heterogeneity but delegate to processes to do so (eg through scripting), which leads to autonomy within the systems This implies a need for coordination, which, in turn, needs to be speci ed programmatically at various levels including process descriptions.

Google s Web APIs have remained free to use for developers, but through the use of perdeveloper assigned license keys, usage of the API is currently limited to 1,000 queries per day and 10 results returned per query. For just about all personal use, however, this limit is usually generous enough it s just when you want to move into heavy-duty commercial use of the Google Web APIs that limits tend to get reached and issues of licensing and cost come into play. For this chapter, though, you shouldn t need to worry about the query limit.

Similarly, the increased likelihood of failure implies a need for automatic recovery: con guration and repair cannot remain manual tasks These requirements resemble the self-organising and healing properties of biological systems, and have been termed autonomic after the autonomic nervous system According to the de nition in Reference [56], an autonomic system has the following eight properties: 1 2 3 4 5 6 7 8 Needs detailed knowledge of its components and status, Must con gure and recon gure itself dynamically, Seeks to optimise its behaviour to achieve its goal, Is able to recover from malfunction, Protect itself against attack, Be aware of its environment, Implement open standards, and Make optimised use of resources..

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