{"id":"W2950025230","doi":"10.48550/arxiv.0805.1140","title":"A Chebyshev criterion for Abelian integrals","year":2008,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Chebyshev filter; Abelian group; Mathematics; Chebyshev equation; Pure mathematics; Applied mathematics; Mathematical analysis; Orthogonal polynomials","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002552868,0.0007141239,0.0008869062,0.00377373,0.002070069,0.002395143,0.001095345,0.001097286,0.004888281],"category_scores_gemma":[0.009051594,0.0003078555,0.000767273,0.001565986,0.002776872,0.00379935,0.002679572,0.002288208,0.001069587],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001072835,"about_ca_system_score_gemma":0.0009603227,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008534185,"about_ca_topic_score_gemma":0.0005493009,"domain_scores_codex":[0.9981737,0.0003892203,0.0001321312,0.0002633657,0.0007661941,0.0002753757],"domain_scores_gemma":[0.9951082,0.00198196,0.0004647015,0.0004931874,0.001452754,0.0004993185],"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":[0.00002740717,0.0000199538,0.000581101,0.00003741988,0.0000145057,0.0001155142,0.0001033902,0.002062896,0.003096892,0.9872093,0.001085511,0.00564586],"study_design_scores_gemma":[0.00001409896,0.00003980979,0.0008116664,0.00003356723,0.00001536427,0.000355406,0.00006637184,0.03975988,0.002931538,0.9499226,0.006019911,0.00002958873],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2175065,0.001394115,0.6890343,0.001173755,0.0002553151,0.0001229076,0.000463824,0.0003024084,0.08974685],"genre_scores_gemma":[0.8672965,0.0009397966,0.1107042,0.0006383639,0.0009943616,0.0002559747,0.0007019211,0.0003573274,0.01811155],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004888281,"threshold_uncertainty_score":0.01635289,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1831687802665337,"score_gpt":0.3845843594678451,"score_spread":0.2014155792013113,"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."}}