<P> The property F (\ displaystyle F) is an extensive property if for all α (\ displaystyle \ alpha), </P> <Dl> <Dd> F ((a i), (α A j)) = α F ((a i), (A j)). (\ displaystyle F (\ (a_ (i) \), \ (\ alpha A_ (j) \)) = \ alpha F (\ (a_ (i) \), \ (A_ (j) \)). \,) </Dd> </Dl> <Dd> F ((a i), (α A j)) = α F ((a i), (A j)). (\ displaystyle F (\ (a_ (i) \), \ (\ alpha A_ (j) \)) = \ alpha F (\ (a_ (i) \), \ (A_ (j) \)). \,) </Dd> <P> (This is equivalent to saying that extensive composite properties are homogeneous functions of degree 1 with respect to (A j) (\ displaystyle \ (A_ (j) \)).) It follows from Euler's homogeneous function theorem that </P>

What are intensive and extensive properties explain each with two example