{"id":"W4388320532","doi":"10.1093/oso/9780198534938.003.0013","title":"Mean values","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Variety (cybernetics); Mathematics; Polynomial; Degree (music); Order (exchange); Point (geometry); Combinatorics; Statistics; Physics; Mathematical analysis; Geometry; Economics","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.00007897531,0.0001988144,0.0002628532,0.00006368098,0.00006702346,0.00001588042,0.000104369,0.0002240734,0.09118982],"category_scores_gemma":[0.00002349031,0.0001622182,0.0001584295,0.000008180831,0.00004324163,0.00002253488,0.00003912691,0.0002014774,0.00451048],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002446562,"about_ca_system_score_gemma":0.00001004878,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004591539,"about_ca_topic_score_gemma":0.00000953002,"domain_scores_codex":[0.9992363,0.000004942417,0.000223436,0.0001908066,0.0002212613,0.0001232591],"domain_scores_gemma":[0.9992864,0.0001091986,0.00008699138,0.0004057811,0.00004588121,0.00006576897],"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":[4.428443e-7,0.000007081093,2.827503e-7,0.0000207815,0.00004407954,0.000004559981,0.00003555878,2.558655e-8,3.015916e-7,0.6205457,0.3788446,0.000496577],"study_design_scores_gemma":[0.00004527997,0.00001470562,2.120082e-7,0.00004269767,0.00008632962,0.000008764417,0.00000472924,0.00001415698,0.000002898178,0.5267869,0.472867,0.0001263326],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000003823401,0.00009908603,0.001847937,0.0001149671,0.0004005679,0.0001135227,0.00001099165,0.000215639,0.9971935],"genre_scores_gemma":[0.00007765982,0.0001234728,0.003753291,0.00010309,0.000315365,0.000003479204,0.0000135143,0.00005988798,0.9955502],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.09402245,"threshold_uncertainty_score":0.9962646,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1314001264330009,"score_gpt":0.276650001296856,"score_spread":0.1452498748638551,"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."}}