{"id":"W2550372858","doi":"10.4171/lem/62-3/4-6","title":"Rational approximation and Lagrangian inclusions","year":2017,"lang":"fr","type":"preprint","venue":"L’Enseignement Mathématique","topic":"Geometric and Algebraic Topology","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Intersection (aeronautics); Lagrangian; Mathematics; Limit (mathematics); Regular polygon; Rational function; Function (biology); Sequence (biology); Convex function; Combinatorics; Pure mathematics; Complex plane; Transverse plane; Surface (topology); Mathematical analysis; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00139042,0.0007869035,0.001057727,0.0004623013,0.001457482,0.0003888964,0.0007354658,0.001059287,0.002299795],"category_scores_gemma":[0.001177096,0.0007868389,0.0002717256,0.0001766603,0.0005058703,0.0002651697,0.002165537,0.0009950656,0.0003777143],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003229636,"about_ca_system_score_gemma":0.0004325235,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002772514,"about_ca_topic_score_gemma":0.0003984068,"domain_scores_codex":[0.9960017,0.0003745237,0.001240355,0.0009532043,0.0007166445,0.0007136377],"domain_scores_gemma":[0.995899,0.000672865,0.001418236,0.001392509,0.0003056718,0.0003116953],"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":[0.00002217222,0.0005162887,0.0002359014,0.0019114,0.0002959084,0.00004049721,0.007510283,0.00005315532,0.0002667894,0.9664152,0.01538701,0.007345403],"study_design_scores_gemma":[0.001386221,0.0001886201,0.01425916,0.001035968,0.0004663073,0.0001783573,0.001087567,0.007420267,0.0003377152,0.9413249,0.03122726,0.001087687],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4791944,0.004723453,0.2845971,0.05435541,0.004540122,0.007029263,0.0007305864,0.0005803808,0.1642493],"genre_scores_gemma":[0.8440602,0.00161921,0.1209257,0.0008416243,0.0009009471,0.0006268585,0.0006876724,0.0001598878,0.03017792],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3648658,"threshold_uncertainty_score":0.9998425,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02841416917424566,"score_gpt":0.2873380852792711,"score_spread":0.2589239161050254,"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."}}