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This paper evaluates the potential of exploiting computation reuse in a signal recognition system that is jointly optimized from mathematical representation, algorithm design and final implementation. Walsh wavelet packets in conjunction with a BestBasis algorithm are used to derive transforms that discriminate between signals. The FPGA implementation of this computation exploits the structure of the resulting transform matrices in several ways to derive a highly optimized hardware representation of this signal recognition problem. Specifically, we observe in the transform matrices a significant amount of reuse of subrows, thus indicating redundant computation. Through analysis of this reuse, we discover the potential for a 3X reduction in the amount of computation of combining a transform matrix and signal. In this paper, we focus on how the implementation might exploit this reuse in a profitable way. By exploiting a subset of this computation reuse, the system can navigate the tradeoff space of reducing computation and the extra storage required.

Abstract
Computational Design (CD) is a paradigm where both program design and program synthesis are computations. CD merges Model Driven Engineering (MDE) which synthesizes programs by transforming models, with Software Product Lines (SPL) where programs are synthesized by composing trans format ions called features. In this paper, basic relationships between MDE and SPL are explored using the language of modern mathematics.

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The explosion in the use of computing in learning holds great potential for preschool education, and yet information on common educational practices with computers at the level of preschool education is scarce. This chapter shares two distinct goals: first, to provide context for the practitioner by providing a panorama of the information available on actual field practices and recommendations by official bodies from several countries regarding the inclusion of computing technology in the educational practice at the preschool and kindergarten levels; and second, to present a hands-on technical perspective on the matter of immersion of the computer in the daily practice of preschools in the form of a four-way guide, including the use of computer programming in this manner. At the end, a list of readings and activity suggestions is provided to help the reader put these ideas into practice. © 2008, IGI Global.

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