  The Kaprekar transformation is uniquely determined by parameters based on
differences between symmetric values in the ordered numeric sequence. The
parametric analysis of the iteration of the process requires developing Ki
functions that provide the parameters of the transformed number. This is the
objective of this work. As application examples we use these functions to
deduce constants and cycles. But its main utility is to study the algebraic
architecture of the transformation trees that we develop in the second part of
this work.
