I went to Clay Mathematics Institute to listen to t'hooft' talk.The idea of scaling (physics law should look similar as we go down in scale) is very natural. The fundamental constants c = m/s, \hbar= kg m^2 s^-1, enables us to express time…

Question: Given a open set U and a compact set C such that C \subset U, prove that you can find a compact set D such that C \subset interior of D and D \subset U. Use a metric function that measures the distance between the complement of U…

Eｄのもってきたアイディアが段々大きくなってきている。坂本、岡本、みやけん、ちとくさん、川内、杉本あたりにアイディアをかりればなにか形になりそう。灘の人間勢ぞろい、みたいなことになっているが、とにかく、このへんのつながりは便利なものだ。数学…

I got really sick yesterday. I'm glad that the midterm wasn't so bad. Anyways, somethings to note. Question: If r_{1} = R + a r, what is the relationship between \nabla_{r_{1}} and \nabla_{R}, \nabla_{r}? It is important to know that \nabl…