Sune Jakobsen
• Member for 12 years, 2 months
• Last seen more than 5 years ago
• London, United Kingdom

Shapiro inequality: Let $x_1,x_2,\dots, x_n,x_{n+1},x_{n+2}$ be positive real numbers with $x_{n+1}=x_1$ and $x_{n+2}=x_2$. Now the inequality $\sum_{i=1}^{n} \dfrac{x_i}{x_{i+1}+x_{i+2}} \geq \dfrac{... View answer 15 votes Noone beats Mick gets some (the odds are on his side) by V. Chvatal and B. Reed. It is an article about the satisfiability problem, and the title is of course referring to this song. I havn't read the ... View answer 6 votes Here is a blog post I wrote about this. I contains three elementary examples of problems from the IMC that you can solve by generalizing. View answer 6 votes I don't have an answer, but I have spend a couple of hours on it, so here is some of my thoughts on the problem. In the following I will identify expressions with sets, so$2^n\$ corresponds to the ...

Using AC you can construct a (non-continuous) function that intersects any continuous function on any open interval (or even on any set with positive measure).

As already pointed out, the model seems a bit too simple: In reality the students might be able to exclude one or two of the answers, or they might choose Buzz Lightyear, because they think it is a ...