Joint Entropy

The entropy associated with events like 'a particle is leaving compartment i and entering compartment j' is usually called the joint entropy Hoi

Also, we can define probabilities associated with events 'a particle enters compartment j' (from any other compartment) as well as 'a particle leaves compartment i' (to any other compartment):

Table 2 Contribution of every coefficient to the joint entropy

Hl,O

Table 2 Contribution of every coefficient to the joint entropy

Hl,O

Imp.

A

B

C

D

Exp.

Diss.

Imp.

0

0.52

0

0

0

0

0

A

0

0

0.41

0.31

0

0

0.25

B

0

0

0

0.09

0.28

0.15

0.15

C

0

0

0

0

0.25

0

0.2

D

0

0

0

0

0

0.25

0.28

Exp.

0

0

0

0

0

0

0

Diss.

0

0

0

0

0

0

0

Table 3

Contribution of every compartment to the input

entropy H

Imp.

A

B

C

D

Exp.

Diss.

0

0.52

0.41

0.34

0.39

0.31

0.47

calculation takes the form — (tj/t )log(tf/t.) . The resulting entropy will be HI = 2.459. Using row sums in a similar manner, we can see that the entropy associated with outputs is HO = 2 .192.

Was this article helpful?

0 0
Project Earth Conservation

Project Earth Conservation

Get All The Support And Guidance You Need To Be A Success At Helping Save The Earth. This Book Is One Of The Most Valuable Resources In The World When It Comes To How To Recycle to Create a Better Future for Our Children.

Get My Free Ebook


Post a comment