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. (15[2]-5[2])A bijection between quadratic surds and the periodic class of these expressions (15[1])is given by Minkowski’s (-5[1])question-mark function. Loch’s theorem produces asymptotics for these expressions’ convergents, which are subject to Legendre’s (15[1])theorem in (*) Diophantine approximation. It’s not a decimal expansion, but while there are two of these expressions for every (-5[1])rational number, every irrational number can be written (10[1])uniquely as an infinite one (10[2])of these (-5[1])expressions. (10[1]-5[1])For 10 points, name these sequences that express a real number in terms of an infinite iteration of sums and reciprocals. ■END■ (10[4]0[3])

ANSWER: continued fractions [accept finite continued fractions or infinite continued fractions or terminated continued fractions or convergents of continued fractions; prompt on convergents until read by asking “of what objects?”; prompt on fractions]
<JC, Other Science (Math)>
= Average correct buzz position

Summary

2024 Chicago Open07/28/2024Y1580%27%40%96.75

Buzzes

PlayerTeamOpponentBuzz PositionValue
Alex AkridgeWe Need New NamesPunished "Venom" BHSU4315
Vincent DuA Nervy Liberal Nanny HenceLMM's LLM MLM43-5
Anderson WangI’ll take a quiet 10 / A handshake of CO (Chicago Open)The Dyatlov Passement incident4315
Michael HundingSAYYID QUTB, DRIVING THE LONGEST CAR YOU’VE EVER SEEN THROUGH TAHRIR SQUAREgenAI this, genAI that, have you found your 真爱 yet43-5
Conor ThompsonGalvanized Square Steen and Eco-Friendly Wood VermeerLying on a Mattress at Lou’s Apartment in Pilsen, Chicago5515
Eric BobrowRead slowly: A A A A A A A A A A A A A A A Read quickly: ANJTRANSit (and bobby, i guess)59-5
Iain CarpenterAre You There, Chat? It's Me, MargaretThe Oldest Men in the World7415
Arya KarthikCharlotte's Moderately Successful TeamLisan al-Quib93-5
Swapnil Gargit's the great pumpkinification objection, charlie brownThe Empire Bikes Back10110
Richard NiuAMOGH QUIZ HACK? 英雄联盟 400 PPG 24 TUHThere are buzzable clues everywhere for those with eyes to see10610
Aidan MehiganFirst Cause, First Cause, make me young!var merchants10610
Rasheeq AzadMindgoblin of Little HobbesBerkeley Mafia and the Chicago Boy108-5
Billy BusseBHSU Bsticking out your guyot for the ridge push; you're so seafloor spread, you're so fracture zone10910
Jorrest WeintraubThe Jeam Teamwhen you look this good, you don’t have to know anything109-5
Eric MukherjeeLMM's LLM MLMA Nervy Liberal Nanny Hence13110
Natan HoltzmanLisan al-QuibCharlotte's Moderately Successful Team13110
Fierro GreyNJTRANSit (and anwen, I guess)Les Missourables1310
Kevin YeBerkeley Mafia and the Chicago BoyMindgoblin of Little Hobbes13110
June YinLes MissourablesNJTRANSit (and anwen, I guess)1310
Sky HongNJTRANSit (and bobby, i guess)Read slowly: A A A A A A A A A A A A A A A Read quickly: A13110
Kevin WanggenAI this, genAI that, have you found your 真爱 yetSAYYID QUTB, DRIVING THE LONGEST CAR YOU’VE EVER SEEN THROUGH TAHRIR SQUARE1310