{"id":"W1979417373","doi":"10.1007/s00013-004-0608-z","title":"Approximate Carleman theorems and a Denjoy-Carleman maximum principle","year":2004,"lang":"en","type":"article","venue":"Archiv der Mathematik","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Generalization; Extension (predicate logic); Pure mathematics; Discrete mathematics; Mathematical analysis","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"],"consensus_categories":[],"category_scores_codex":[0.0007333569,0.0003541971,0.0004408393,0.0001755422,0.0002977236,0.0001086132,0.0003118107,0.00009524987,0.0001087977],"category_scores_gemma":[0.0009109741,0.0003007879,0.0001436075,0.0002348319,0.0002810951,0.000242878,0.0002633982,0.0002700126,0.0001373905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001100602,"about_ca_system_score_gemma":0.0001068796,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003929531,"about_ca_topic_score_gemma":0.0001096191,"domain_scores_codex":[0.9976645,0.00009633601,0.0006404254,0.0005657214,0.0005330919,0.0004999965],"domain_scores_gemma":[0.9977776,0.0008234971,0.000209912,0.0008897029,0.0001007664,0.0001985404],"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":[0.00004595249,0.0003957949,0.0001787668,0.0005522306,0.0001041145,0.00001260915,0.006968734,0.00008564131,0.0009665239,0.989779,0.0001607144,0.0007499201],"study_design_scores_gemma":[0.00118155,0.00007965657,0.0005666118,0.0001398928,0.00007324114,0.0001724469,0.0004380273,0.0007178989,0.001215807,0.9946928,0.0003872444,0.0003347969],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8777936,0.0001209345,0.09068868,0.001447093,0.000132972,0.001323789,0.0000659983,0.0004538817,0.02797307],"genre_scores_gemma":[0.8871707,0.00001112363,0.1117975,0.0001132323,0.00009702593,0.0001588358,0.00002658814,0.00008698623,0.0005379882],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02743508,"threshold_uncertainty_score":0.9999444,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04046887755945863,"score_gpt":0.3074111456956977,"score_spread":0.2669422681362391,"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."}}