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The Bernoulli Trials 2004

2006· article· en· W2312368688 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueMathematics Magazine · 2006
Typearticle
Languageen
FieldComputer Science
TopicMathematics, Computing, and Information Processing
Canadian institutionsUniversity of Waterloo
Fundersnot available
KeywordsMathematicsBernoulli's principleBernoulli trialCalculus (dental)CombinatoricsMedicineOrthodontics

Abstract

fetched live from OpenAlex

On Saturday, March 13, 2004, a competition called The Bernoulli Trials was held at the University of Waterloo for the nth time, where n = 8. A total of 55 undergraduate students participated, all sharing insatiable appetites for mathematical problems and freshly baked croissants. The Bernoulli Trials consists of a number of rounds, each of which involves contes tants having to decide whether a mathematical statement is TRUE or FALSE, without the aid of a calculator. Rounds usually last 10 minutes, unless the organizers feel partic ularly malicious or hungry, in which case the round may be shortened (for example to 2 or 5 minutes). At the end of the round, students submit only their decision of TRUE or FALSE, obtained by some combination of skill, intuition and chance. Contestants can continue until they have made two mistakes, whereupon they are eliminated. The competition continues until one contestant is left standing and is declared champion. The 2004 competition lasted a total of 14 rounds, and produced quite an exciting finish. After 8 rounds, only six contestants remained standing, each of whom had an swered one problem incorrectly. So it was sudden death! In round 9, Iouri Khramtsov and Marcin Mika succumbed to sigma-itis and were eliminated. Round 10 saw the elimination of Yuli Ye, leaving only Raymond Chiu, Ralph Furmaniak, and Feng Tian, all of whom then answered correctly in round 11. As round 12 closed, Ralph hastily changed his answer, leaving all three remaining contestants with an incorrect answer. After much deliberation and consultation of the BT Rule Book, the organizers determined that they could not eliminate all three re maining contestants and thus keep the prizes for themselves, so Raymond, Ralph, and Feng continued on. Ralph redeemed himself in round 13 by being the only contestant to answer cor rectly, and so was declared champion. In March 2004, Ralph Furmaniak (from Lon don, ON) was a first-year student and a verter?n of the IMO. It would later be known that Ralph was a Putnam Fellow in the 2003 Putnam Competition. Round 14 was a two-minute tie-breaker for second place, which saw Raymond Chiu prevail as second place finisher, leaving Feng Tian in third place. (Our top-secret proof-reader did assure us that he managed to differentiate the given function 45 times in 1 minute 38 seconds, so 2 minutes seemed a reasonable length of time.) Thankfully,

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.003
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesInsufficient payload (model declined to judge)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Methods · Consensus signal: Methods
Teacher disagreement score0.379
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0030.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0010.000
Open science0.0010.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.001

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.026
GPT teacher head0.269
Teacher spread0.243 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it