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Projection of a medium
- Source :
-
Journal of Mathematical Psychology . Feb2008, Vol. 52 Issue 1, p55-63. 9p. - Publication Year :
- 2008
-
Abstract
- Abstract: Learning spaces, partial cubes, and preference orderings are just a few of the many structures that can be captured by a ‘medium,’ a set of transformations on a possibly infinite set of states, constrained by four strong axioms. In this paper, we introduce a method for summarizing an arbitrary medium by gathering its states into equivalence classes and treating each equivalence class as a state in a new structure. When the new structure is also a medium, it can be characterized as a projection of the original medium. We show that any subset of tokens from an arbitrary medium generates a projection, and that each state in the projection determines a submedium. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*AXIOMS
*FOUNDATIONS of geometry
*PARALLELS (Geometry)
Subjects
Details
- Language :
- English
- ISSN :
- 00222496
- Volume :
- 52
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Psychology
- Publication Type :
- Periodical
- Accession number :
- 31397514
- Full Text :
- https://doi.org/10.1016/j.jmp.2007.08.002