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In order to construct a mapping , rather than just define it
extensionally as I did in Section 
(p. 
), we need a theory of how to transform a
function 
 into one or more pairs 
.
 Recall that 
 represents the
spectral energy distribution of a stimulus, as a function of wavelength;
 represents the set of all such distributions; 
 represents a
set of color terms; 
 represents the closed interval 
; and
 represents a mapping 
,
i.e., a color-naming mapping. I will conceptualize the mapping 
 as
being a composition of two mappings: one that takes us from 
 to what
I will refer to as a  color space, and one that takes us from that
color space to 
. This chapter discusses the first one of those mappings.