Composition of Transformations

  • E. S. Lyapin
  • A. Ya. Aizenshtat
  • M. M. Lesokhin

Abstract

Let X be any set. A mapping of X into itself is called a transformation of X. Since a transformation is a special case of a mapping of sets, we will naturally retain the terminology and notation of Chapter 1.2, with one difference. By convention we will denote transformations by lower-case Greek letters, and elements of the set by lower-case Roman letters. In particular, if α maps x onto y, then y will be called the image of x under α, and we write αx = y or α(x) = y.

Keywords

Pyramid 

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Copyright information

© Plenum Press, New York 1972

Authors and Affiliations

  • E. S. Lyapin
  • A. Ya. Aizenshtat
  • M. M. Lesokhin

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