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A Simple Example of a New Class of Landen Transformations

2007· article· en· W1879075193 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.
aboutThe title or abstract carries a Canadian signal from the geographic lexicon.

Bibliographic record

VenueAmerican Mathematical Monthly · 2007
Typearticle
Languageen
FieldMathematics
TopicAnalytic Number Theory Research
Canadian institutionsDalhousie University
Fundersnot available
KeywordsGraduation (instrument)BachelorBeijingChinaLiberal arts educationMandarin ChineseSimple (philosophy)Class (philosophy)MathematicsMathematics educationLibrary sciencePolitical scienceLawComputer sciencePhilosophyHigher education

Abstract

fetched live from OpenAlex

Click to increase image sizeClick to decrease image size Additional informationNotes on contributorsDante MannaDANTE MANNA received his Bachelor of Arts degree in mathematics from Wesleyan University in Middle- town, Connecticut, in May 2001. He was also a Spring 2000 graduate of the Associated Colleges in China intensive Mandarin program, at Capital University in Beijing, China. At the time this article was submitted, he was a graduate student at Tulane University working under Victor Moll. He is now the AARMS Director's Postdoctoral Fellow at Dalhousie University.Victor H. MollVICTOR H. MOLL is a professor of mathematics at Tulane University. He studied under Henry McKean at the Courant Institute of New York University. After graduation in 1984, he spent two years at Temple University in Philadelphia. There he failed to pay attention when Donald J. Newman was telling him about some transformations on elliptic integrals. His research interests are in the mathematics behind the evaluation of definite integrals.

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)0.001
metaresearch head score (Gemma)0.001
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.523
Threshold uncertainty score0.639

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.001
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0010.000
Bibliometrics0.0000.001
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0010.000

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 head0.057
GPT teacher head0.357
Teacher spread0.300 · 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