Contestants compete in teams of up to three people to solve intriguing math problems. There is a monetary prize for the winning team, along with a trophy to be displayed at the team's college. You can organize your own team or leave it to me to match you up with others, as you prefer. Transportation to St. Paul and lunch will be provided. Should you wish to join this scholarly, heroic quest, please let me know.
Most people have to wait until graduate school to find . . .
Find all pairs of functions f , g that are continuous on some interval around 0 and such that for all x in that interval, . The station is fairly liberal about attire, and the new reporter intends to wear a blouse, a beret, and a kerchief each day as a kind of visual trademark. However, she realizes that she doesn't quite have enough to carry out her full intention, which is never to repeat the same combination of two of the three articles of clothing at any time during her first year on the job. For example, while she might wear a blouse repeatedly during the year, it would never be with the same beret, nor would it be with the same kerchief. She expects to be on the air for 350 days out of the year.