Changing natural variables ↩

aliases: []
shorthands: {}
created: 2022-02-20 16:08:26
modified: 2022-02-20 16:18:28

Let's consider a convex function of two variables .
The following are known:

Now the transformed function is defined:

The natural variables of a function emerge in its complete differential. These are and for :

And for :

• Natural variables of : and
• Natural variable of : and

Examples

Example 1

Let the function be . Then

The transformed function :