I welcome the opportunity of introducing the first issue of Parabola.
Over the past ten years student journals and magazines similar to this one have been launched in different parts of the world, in a variety of languages.
Amongst all closed curves with given length (or perimeter) $L$, which ones encloses the largest area?
J1 (a) Two numbers, $a$ and $b$ are such that $a$ is smaller and $b$ is greater than $1$. If $S$ is the sum of $a$ and $b$, and $P$ is their product, prove that $S$ and $P$ differ by more than $1$.