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Transforming a Family of Curves into a Family of Curves With a Single Shape

Author(s):
Levine, Michael V.
Publication Year:
1976
Report Number:
RB-76-05
Source:
ETS Research Bulletin
Document Type:
Report
Page Count:
33
Subject/Key Words:
Literature Reviews, Mathematical Applications, Transformations (Mathematics)

Abstract

The relatively hard problem of tranforming a given set of curves to curves with the same shape can sometimes be reduced to the easier problem of rendering curves parallel. In this paper a group is associated with the given curves, and it is shown that the reduction from the hard problem to the easy problem is valid whenever the group is nonabelian. A comprehensive review of earlier work is included so that this paper can be read alone. Applications to psychological measurement are cited briefly. (33pp.)

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