Volume 37
, Issue 2

2001

The Travelling Salesman Problem (TSP) is to find a tour of $n$ cities which minimizes the total cost of the tour.

Amongst all closed curves with given length (or perimeter) $L$, which one encloses the largest area?

John Blatt was born in Vienna in 1921, into an intellectual and musical family characteristic of interwar Jewish Vienna. His father was a well-to-do physician. The family fled the Nazis in 1938 and settled in the U.S.

Travelling from Goulburn to Canberra at a uniform speed I noticed a distance marker showing a two-digit distance from Goulburn. Thirty minutes later another marker showed a distance with the previous two digits reversed, and another thirty minutes later another marker with the original two digits separated by a 0.

Q1098. Consider the $2000$-digit number which begins with $1000$ $4$’s, next has $999$ $8$’s and ends in a $9$. Find its square root.

Q1092. Carl Frederick Gauss, born in Braunschweig in 1777 and who died in Göttingen in 1855, was one of the greatest mathematicians of all time. Assuming that each letter in the following sum represents a different digit find all possible solutions for $A, C, G, L, R, S$ and $U$.