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Elements of Programming
book

Elements of Programming

by Paul McJones, Alexander Stepanov
June 2009
Intermediate to advanced content levelIntermediate to advanced
288 pages
5h 59m
English
Addison-Wesley Professional
Content preview from Elements of Programming

Chapter 4

Linear Orderings

This chapter describes properties of binary relations, such as transitivity and symmetry. In particular, we introduce total and weak linear orderings. We introduce the concept of stability of functions based on linear ordering: preserving order present in the arguments for equivalent elements. We generalize min and max to order-selection functions, such as the median of three elements, and introduce a technique for managing their implementation complexity through reduction to constrained subproblems.

4.1 Classification of Relations

A relation is a predicate taking two parameters of the same type:

Image

A relation is transitive ...

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Publisher Resources

ISBN: 9780321643926Purchase book