Accession Number : AD0438433


Title :   ON SET FUNCTIONALS THAT PRESERVE A GIVEN GEOMETRY CLASS,


Corporate Author : RAND CORP SANTA MONICA CALIF


Personal Author(s) : Edelen,Dominic G B


Report Date : Apr 1964


Pagination or Media Count : 26


Abstract : A geometry class is defined as the collection o, all geometric objects of a given order with a given law of transformation. A basic functional equation is obtained for an element a which is both necessary and sufficient for it to be an element of the same geometry class as the given element. After establishing a general representation theorem for elements of an arbitrary linear homogeneous geometry class, explicit solutions of the basic functional equation are obtained for elements of this class. (Author)


Descriptors :   *GEOMETRY , *MAPPING(TRANSFORMATIONS) , ALGEBRA , SET THEORY , FUNCTIONAL ANALYSIS , FUNCTIONS(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE