Hereditary base representation
= Hereditary base representation
{title2=$m=\sum_i b^{e_i}c_i$}
A <hereditary base representation> expands not only the number in base $b$, but also every exponent recursively in that same base. Changing the base at every depth defines the Goodstein base-change operation; replacing it by omega defines an <ordinal rank of a Goodstein term>.