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Record W371897330

Conference on Bernoulli Numbers, Montréal , Uqam 2003 (French)

2014· preprint· en· W371897330 on OpenAlexaboutno aff
Simon Plouffe

Bibliographic record

VenueviXra · 2014
Typepreprint
Languageen
FieldMathematics
TopicAdvanced Mathematical Identities
Canadian institutionsnot available
Fundersnot available
KeywordsBernoulli's principleSession (web analytics)Bernoulli numberMapleConjectureMathematicsBernoulli processCombinatoricsDiscrete mathematicsComputer sciencePhysicsBotanyBiologyThermodynamics
DOInot available

Abstract

fetched live from OpenAlex

A conference on Bernoulli numbers, a result is given on the Agoh‐Giuga conjecture, it has been verified up to n=49999. Also a formula on the sum of the fractional part of Bernoulli numbers and a sample session to the Inverter (Plouffe's Inverter) from a Maple session and results.

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.

How this classification was reachedexpand

Full frame machine prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.

metaresearch head score (Codex)0.001
metaresearch head score (Gemma)0.002
Version: metacan-v3-hybrid-931329e0061cValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Not applicable · Consensus signal: Not applicable
GenreCandidate signal: Other · Consensus signal: Other
Teacher disagreement score0.749
Threshold uncertainty score0.699

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0010.002
Meta-epidemiology (narrow)0.0020.001
Meta-epidemiology (broad)0.0010.001
Bibliometrics0.0040.005
Science and technology studies0.0040.002
Scholarly communication0.0050.002
Open science0.0010.001
Research integrity0.0010.002
Insufficient payload (model declined to judge)0.2090.024

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 head0.066
GPT teacher head0.328
Teacher spread0.263 · 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

Classification

machine, unvalidated

Machine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.

The models applied no category: nothing in the taxonomy fit this work.
Study designNot applicable
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2014
Admission routes1
Has abstractyes

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