I recently saw on TV two interesting books from the UK on the mathematics of pasta 2. Yes, I did say pasta. Only an engineer or geek like myself could appreciate seeing fractals in their linguini dish ...
Let Tn(x) denote the n'th Tchebycheff polynomial, and let p be an odd prime. For any integer x, the rank of its residue class modulo p is defined to be the least positive integer r for which Tr(x) ≡ 1 ...
Some identities are presented that generalize the formula x = 3x⎣x⎣x⎦⎦-3⎣x⎦⎣x⎣x⎦⎦+⎣x⎦3 3{x}{x⎣x⎦}+{x}3 to a representation of the product x0x1...xn-1 Journal Information Mathematica Scandinavica has ...