Thermodynamics in tetronic notation

Dr. Reino Hakala is a professor emeritus at Governor's State University, Once the Dean of Science there, he now teaches mathematical . As a teaching aid, Professor Hakala created a model of the relationships of the various aspects of thermodynamics. It is a very interesting model because it shows how all the parts are related together. I have taken the content of his model, and expressed it in tetronic notational form as well. This example using the notation demonstrates the versatility of this archetypal principle the simplest form of which is three.


H is Entralpy
G is Gibbs free energy
E is internal energy
S is entropy
T is absolute temperature
P is pressure
V is volume
A is Helmholz free energy

. The original model, what looks like a nested set of boxes, was created by him as a teaching aid. He wanted to show the relationships among the various aspects of thermodynamics. I took his model and restated it in tetronic notation.
Tetronic Notation Definitions
All horizontal is whatever
All vertical are relationships

Revision 1.0



This is what classical theromodynamics looks like in relational language when relationships are made explicite. Keep in mind that in this notation, vertical lines denote relationships. I am using tetronic boxes in the above model. A Teronic box is simply two tetronics back to back forming what looks like a box, but it really is a set of relationships.


Now Reino took my tetronic notation and simplified it, making some minor corrections, etc.

Revision 2.0


So this is how to use tetronic notation to ilustrate mathematical relationships.