Chapter 3

The Relational Paradigm

Mathematics

This chapter describes the mathematics of the Relational Paradigm of data. The mathematics consists of sets, Cartesian Products, relations, tuples and functions. Their implementation in a relational database consists of tables, columns and a time-varying set of rows.

Keywords

Cartesian Product; domain; function; onto function; ordered set; range; relation; relational table; set; time-varying function

The mathematics of the Relational Paradigm have been described many times. However, there are few mathematically informed presentations which are intended for an audience of IT professionals, an audience who may not be familiar with set theory, functions and relations. Among these few mathematically informed ...

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