  In this paper, we give a valuation formula for rational top differential
forms of function fields in characteristic zero for arbitrary Abhyankar places
generalizing the classical valuation at prime divisors. This enables us to
define log discrepancies for log pairs for arbitrary Abhyankar places. If the
Abhyankar place has dimension greater than zero we restrict rational top
differential forms with valuation zero to the residue field of the Abhyankar
place, generalizing the classical restriction of a top differential form with a
simple pole along a smooth divisor. This opens up the door to generalize the
classical adjunction machinery to arbitrary Abhyankar places.
