Next:Properties of Conditional EntropiesUp:Entropy of Degree and

## Mutual Information of Degree s

We have
where
and
and
with
for every

We can also write

We also have
and
and

The properties studied before from 6.1 to 6.9 for the unified measures include these particular cases, i.e., when . We shall now present some more properties for the measures of degree , i.e., only for the case .

In view of the properties studied before, the measures ( and ) are nonnegative for , when  and  for  and .

21-06-2001
Inder Jeet Taneja
Departamento de Matemática - UFSC
88.040-900 Florianópolis, SC - Brazil