In case you feel sleep is a waste of time, it could actually be surprisingly productive to sleep. Once thing I noticed in grad school is that your sub-conscious is passively working on the problems you encountered even if you are not actively thinking about them. And often I would "dream" up a clever solution to a homework problem during my sleep.
J.P. Serre, one of the most brilliant mathematician still living today, purportedly "does all his best work in his sleep": https://tinyurl.com/y25q45ut
From what I learned in the wonderful Coursera course: "Learning How to Learn", these are manifestations of the unfocused or diffused mode of the mind, and play a critical role in learning and problem solving.
J.P. Serre, one of the most brilliant mathematician still living today, purportedly "does all his best work in his sleep": https://tinyurl.com/y25q45ut
From what I learned in the wonderful Coursera course: "Learning How to Learn", these are manifestations of the unfocused or diffused mode of the mind, and play a critical role in learning and problem solving.
https://medium.com/learn-love-code/learnings-from-learning-h...