My major was physics before i transferred my major to mathematics, so i'm quite familiar with this term "degree of freedom". (And i'm a junior now)
However, even when i was majoring physics, i was not sure what's exactly the definition of this.
I was reading an article in wikipedia about Euclidean group and the term degree of freedom appeared here: en.m.wikipedia.org/wiki/Euclidean_group
I searched the page linked on the term, but there was no rigorous definition of it..
What is the definition of degree of freedom formally?