Sam's martial arts
Sam doesn't display any martial arts skills until the episode 13 of the 2nd season. Why so long? Sam's partial amnesia faded to allow him to do advanced math by the 3rd episode. It seems like a physical activity like bike riding, martial arts would be return quickly.
However, in the 2nd season episode "Americanization of Machiko" Sam is involved in a high stakes fight yet he resorts slugging it out.