Table Algebra of Infinite Tables, Multiset Table Algebra, and their Relationship

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During the last decades, the production enterprises have gone through a strong global change in terms of shorter product life cycles, fluctuations in the order income and increased demand of customized products. Basically, a company needs to develop appealing products in terms of cost and quality that are brought to the market in timely manner. As many studies show that over 70% of the total li...

Algebra of Behavior Tables∗†

A design formalization based on behavior tables was presented at Lfm97. This paper describes ongoing work on a supporting tool, now in development. The goal is to make design derivation, the interactive construction of correct implementations, more natural and visually palatable while preserving the benefits of formal manipulation. We review the syntax and semantics of behavior tables, introduc...

Algebra and Infinite Combinatorics

Algebra of Normal Function Tables

In contrast to classical algebra and analysis the functions encountered in computer science are usually piecewise continuous functions or functions whose evaluation rules change dramatically depending on a subset of the input values. Because of the pervasiveness of the if-then-else construction in programming, we have to extend classical mathematical methods to handle this kind of object. We ap...

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Image annotation is a challenging task of assigning keywords to an image given the content of an image. It has a variety of applications in multi-media data-mining and computer vision. Traditional machine learning approaches to image annotation require large amounts of labeled data. This requirement is often unrealistic, as obtaining labeled data is, in general, expensive and time consuming. Ho...