Question
To solve indeterminate equations, Gauss introduced special bracket notation for approximating these expressions. When the private key in RSA is small, it can be exposed using these expressions in Wiener’s attack. The limit of these expressions’ geometric means almost always converges to Khinchin’s constant. A bijection between quadratic surds and the periodic class of these expressions is given by Minkowski’s question-mark function. Loch’s theorem produces asymptotics for these expressions’ convergents, which are subject to Legendre’s theorem in (*) Diophantine approximation. It’s not a decimal expansion, but while there are two of these expressions for every rational number, every irrational number can be written uniquely as an infinite one of these expressions. For 10 points, name these sequences that express a real number in terms of an infinite iteration of sums and reciprocals. ■END■
Buzzes
Summary
Tournament | Edition | Exact Match? | TUH | Conv. % | Power % | Neg % | Average Buzz |
---|---|---|---|---|---|---|---|
2024 Chicago Open | 07/28/2024 | Y | 15 | 80% | 27% | 40% | 96.75 |