{"id":"W4223411577","doi":"10.4171/aihpd/116","title":"Combinatorial expression of the fundamental second kind differential on an algebraic curve","year":2022,"lang":"en","type":"article","venue":"Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions","topic":"Polynomial and algebraic computation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Agence Nationale de la Recherche; European Commission; Centre de Recherches Mathématiques","keywords":"Differential (mechanical device); Mathematics; Algebraic expression; Expression (computer science); Algebraic number; Algebra over a field; Differential algebraic geometry; Pure mathematics; Computer science; Physics; Mathematical analysis; Differential equation; Ordinary differential equation; Differential algebraic equation","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003141928,0.000479117,0.0005201081,0.002344368,0.0008674882,0.00238488,0.0006161724,0.0006185554,0.003610165],"category_scores_gemma":[0.0009210334,0.0002527565,0.0004261425,0.001124959,0.0026412,0.002065516,0.00127534,0.00102623,0.000401567],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00143018,"about_ca_system_score_gemma":0.0003817239,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005317136,"about_ca_topic_score_gemma":0.0007207951,"domain_scores_codex":[0.9997031,0.0000451206,0.0000116314,0.00006734249,0.0001088762,0.00006379333],"domain_scores_gemma":[0.999686,0.00008812181,0.0000544303,0.00003337662,0.00005008322,0.00008796882],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00003500211,0.00002017673,0.0005436693,0.00003579404,0.000005317185,0.0004219931,0.0003186761,0.001780207,0.004342211,0.9851699,0.0006585354,0.006668463],"study_design_scores_gemma":[0.00002908171,0.00005882415,0.002198965,0.00002355913,0.00001620651,0.001685983,0.0002711894,0.02028348,0.004076764,0.9569035,0.01440919,0.0000432708],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8280348,0.0005481581,0.07948773,0.0009038452,0.0001291722,0.00004104686,0.0001987532,0.0001565355,0.09049985],"genre_scores_gemma":[0.9764228,0.0002718298,0.01083394,0.0000864754,0.0001432616,0.00002391925,0.000123048,0.00006015979,0.01203449],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003610165,"threshold_uncertainty_score":0.01207721,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01446488089165722,"score_gpt":0.2401863399168664,"score_spread":0.2257214590252092,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}