Discussion Overview
The discussion centers around the classification of thermodynamic equations, specifically whether they should be considered partial differential equations (PDEs) due to their use of partial derivatives. Participants explore the nature of these equations in the context of thermodynamics and their mathematical implications.
Discussion Character
- Conceptual clarification, Debate/contested
Main Points Raised
- One participant notes that thermodynamic equations involve partial derivatives but questions whether they should be classified as PDEs, as they are not referred to as such in their textbook.
- Another participant argues that these are not equations but equalities, emphasizing the absence of unknown functions and boundary conditions, and suggests that one must determine the form of the functions involved before differentiating.
- A later reply acknowledges the clarification that these relations do not need to be solved, reinforcing the idea that they merely express relationships between thermodynamic functions.
Areas of Agreement / Disagreement
Participants generally agree that thermodynamic equations are not equations in the traditional sense requiring solutions, but there is some contention regarding their classification as PDEs.
Contextual Notes
The discussion does not resolve the classification of thermodynamic equations as PDEs, and it remains unclear how the definitions of equations and equalities apply in this context.