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■
Summary
2024 Chicago Open | 07/28/2024 | Y | 15 | 80% | 27% | 40% | 96.75 |
Buzzes
Player | Team | Opponent | Buzz Position | Value |
---|---|---|---|---|
Alex Akridge | We Need New Names | Punished "Venom" BHSU | 43 | 15 |
Vincent Du | A Nervy Liberal Nanny Hence | LMM's LLM MLM | 43 | -5 |
Anderson Wang | I’ll take a quiet 10 / A handshake of CO (Chicago Open) | The Dyatlov Passement incident | 43 | 15 |
Michael Hunding | SAYYID QUTB, DRIVING THE LONGEST CAR YOU’VE EVER SEEN THROUGH TAHRIR SQUARE | genAI this, genAI that, have you found your 真爱 yet | 43 | -5 |
Conor Thompson | Galvanized Square Steen and Eco-Friendly Wood Vermeer | Lying on a Mattress at Lou’s Apartment in Pilsen, Chicago | 55 | 15 |
Eric Bobrow | Read slowly: A A A A A A A A A A A A A A A Read quickly: A | NJTRANSit (and bobby, i guess) | 59 | -5 |
Iain Carpenter | Are You There, Chat? It's Me, Margaret | The Oldest Men in the World | 74 | 15 |
Arya Karthik | Charlotte's Moderately Successful Team | Lisan al-Quib | 93 | -5 |
Swapnil Garg | it's the great pumpkinification objection, charlie brown | The Empire Bikes Back | 101 | 10 |
Richard Niu | AMOGH QUIZ HACK? 英雄联盟 400 PPG 24 TUH | There are buzzable clues everywhere for those with eyes to see | 106 | 10 |
Aidan Mehigan | First Cause, First Cause, make me young! | var merchants | 106 | 10 |
Rasheeq Azad | Mindgoblin of Little Hobbes | Berkeley Mafia and the Chicago Boy | 108 | -5 |
Billy Busse | BHSU B | sticking out your guyot for the ridge push; you're so seafloor spread, you're so fracture zone | 109 | 10 |
Jorrest Weintraub | The Jeam Team | when you look this good, you don’t have to know anything | 109 | -5 |
Eric Mukherjee | LMM's LLM MLM | A Nervy Liberal Nanny Hence | 131 | 10 |
Natan Holtzman | Lisan al-Quib | Charlotte's Moderately Successful Team | 131 | 10 |
Fierro Grey | NJTRANSit (and anwen, I guess) | Les Missourables | 131 | 0 |
Kevin Ye | Berkeley Mafia and the Chicago Boy | Mindgoblin of Little Hobbes | 131 | 10 |
June Yin | Les Missourables | NJTRANSit (and anwen, I guess) | 131 | 0 |
Sky Hong | NJTRANSit (and bobby, i guess) | Read slowly: A A A A A A A A A A A A A A A Read quickly: A | 131 | 10 |
Kevin Wang | genAI this, genAI that, have you found your 真爱 yet | SAYYID QUTB, DRIVING THE LONGEST CAR YOU’VE EVER SEEN THROUGH TAHRIR SQUARE | 131 | 0 |