Context: This principle is vitally important to understanding the behaviour of a quantity closely related to energy, called entropy. Entropy is a measure of evenness of a distribution of energy between parts of a system. When an isolated system is given more degrees of freedom (i.e., given new available energy states that are the same as existing states), then total energy spreads over all available degrees equally without distinction between "new" and "old" degrees. This mathematical result is called the second law of thermodynamics.

Question: What is the principle that is vitally important to understanding the behaviour of a quantity closely related to energy?
Answer: entropy

Question: What is entropy?
Answer: measure of evenness of a distribution of energy between parts of a system

Question: What is the mathematical result when an isolated system is given more degrees of freedom?
Answer: second law of thermodynamics

Question: What is the principle that is vitally important to understanding the behaviour of a quantity unrelated to energy?
Answer: Unanswerable

Question: What is dystropy?
Answer: Unanswerable

Question: What is the non-mathematical result when an isolated system is given more degrees of freedom?
Answer: Unanswerable

Question: When an isolated system is given less degrees of freedom, what happens to total energy?
Answer: Unanswerable

Question: what is a measure of oddness of a distribution of energy between parts of a system?
Answer: Unanswerable