Im taking a course in discrete mathematics and my professors definition of what the dual of a boolean expression does not match all the resources I've seen elsewhere and is confusing me. Here is an example of what he says a dual is:
My understanding is the dual is found by changing all the 'or' values to 'and' and vice-versus. The complement is changing the sign of the value.
So woudn't the dual of (x or y or z) be
(x and y and z)
and the complement be
' (~x and ~y and ~z)
And his definition of "dual" which is
~x and ~y and ~z
be the complement of the expression and also the dual?
ORIGIONAL (x or y or z) DUAL(according to professor) (~x and ~y and ~z)