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Record W1998600689 · doi:10.1016/j.anihpc.2003.01.004

Pseudoholomorphic strips in symplectisations I: Asymptotic behavior

2004· article· fr· W1998600689 on OpenAlexfundno aff
Casim Abbas

Bibliographic record

VenueAnnales de l Institut Henri Poincaré C Analyse Non Linéaire · 2004
Typearticle
Languagefr
FieldMathematics
TopicGeometric and Algebraic Topology
Canadian institutionsnot available
FundersYork UniversityNational Science Foundation
KeywordsSTRIPSMathematicsCalculus (dental)PsychologyMedicineOrthodonticsAlgorithm

Abstract

fetched live from OpenAlex

This paper is part of a larger program, the investigation of the Chord Problem in three dimensional contact geometry. The main tool will be pseudoholomorphic strips in the symplectisation of a three dimensional contact manifold with two totally real submanifolds L_0 , L_1 as boundary conditions. The submanifolds L_0 and L_1 do not intersect transversally. The subject of this paper is to study the asymptotic behavior of such pseudoholomorphic strips. Résumé Cet article fait partie d’un programme de travail plus grand : la recherche sur le problème de Chord en géometrie de contact en dimension trois. L’outil essentiel sont des bandes pseudo-holomorphes dans la symplectisation d’une variété contact à dimension trois avec la condition au bord suivante : les deux composantes de la frontière sont contenues dans deux sous-variétés totalement réelles L_0 , L_1 . Les variétés L_0 et L_1 ont des intersections non-transverses. Le sujet de cet article est l’étude du comportement asymptotique des solutions.

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)0.000
metaresearch head score (Gemma)0.003
Version: metacan-v3-hybrid-931329e0061cValidation 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 score0.004
Threshold uncertainty score0.014

Distilled classifier scores by category (both heads)

CategoryCodexGemma
Metaresearch0.0000.003
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0010.000
Science and technology studies0.0010.002
Scholarly communication0.0020.002
Open science0.0000.001
Research integrity0.0010.001
Insufficient payload (model declined to judge)0.0040.000

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 head0.042
GPT teacher head0.313
Teacher spread0.271 · 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 designTheoretical or conceptual
Domainnot available
GenreEmpirical

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

Citations10
Published2004
Admission routes1
Has abstractyes

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