$($iv$)$ Finally, for such $3-$input functions that remain unaffected by the transformation, is there some

constraint between the minterms? Does the presence or absence of minterm mi imply

anything about the presence or absence of some other minterm to ensure that the

function remains invariant under the transformation of operation$-$flipping? Please

be sure to describe any implications for both the presence and the absence cases

in detail.

$9$