OK, JazzO, while your toiling away at your studies (ahem!) could you LIU and give the definition of cool jazz versus hot jazz as genres?

Well, hot jazz (Bebop) is the fast-paced, fit-in-as-many-notes-as-possible-in-the-shortest-amount-of-time music. Most people don't like bebop because it's just kind of hard to listen to. Swing fans were appalled by bebop.
"Bebop has set music back twenty years" - Tommy Dorsey
"That's got nothing to do with jazz. That's Chinese music" - Louis Armstrong

Cool jazz came as a direct opposite to bebop because Miles Davis knew that he couldn't continue to try to play "faster, higher and hotter". He originally played with Charlie Parker and Dizzy Gillespie but just couldn't keep up so he started using a much slower, more melodic style. The Birth of the Cool "was an ethereal, drifting music that used French horns, complex arrangements and delicately woven solos." Miles decided that he would play "lower, slower and cooler" than anyone else.

Is that sufficient?

(Quotes from Jazz for Beginners by Ron David)

And what do you mean by "studies (ahem!)"? It's Saturday.