You were one of $n$ contestants chosen to participate in a game show. Each of you will secretly select a resistor of your choice, with a resistance between 0.01 and 10,000,000 ohms. Once everyone has made their choice, the resistors will be revealed, connected in series, and attached to an ideal ...

Consider a large chessboard. A limp rook is a chess piece that moves one step orthogonally, but it turns $90$ degrees after every move. The limp rook makes some moves, returning to the starting cell. It is known (see IMO Shortlist 2009 C6) that on an $n$ by $n$ grid, if $n$ is $3$ modulo $4$, the...

We are two living things. Part of one of us is another living thing. Another part of one of us is something all people use. One part of one of us contains motion and another part of one of us contains action. Another part of one of us, read backwords, has a philosophical meaning. Who are we?