{"id":"W192669604","doi":"","title":"On an Extension of Nagell's Totient Function and Some Applications.","year":2002,"lang":"en","type":"article","venue":"Ars Combinatoria","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"","funders":"","keywords":"Euler's totient function; Mathematics; Extension (predicate logic); Computer science; Mathematical analysis; Euler's formula; Programming language","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002474299,0.0001322931,0.0001679833,0.00008624555,0.0001090732,0.00005742259,0.0003947987,0.00006433114,0.00001389801],"category_scores_gemma":[0.00004082328,0.0001281076,0.00003872236,0.0003204544,0.00006269755,0.0004033895,0.0002232,0.0001122576,0.00004274175],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005538742,"about_ca_system_score_gemma":0.00001208083,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000111244,"about_ca_topic_score_gemma":6.973264e-7,"domain_scores_codex":[0.9987081,0.00008659185,0.0002285933,0.0005092652,0.0002887461,0.0001787168],"domain_scores_gemma":[0.9986137,0.0001641407,0.0000987906,0.000869167,0.0001472531,0.0001069934],"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":[0.000004949862,0.0005026583,0.000422655,0.00001144139,0.000005205476,0.000001218278,0.000127673,0.00008279613,0.0002439404,0.9345466,0.0004546418,0.06359624],"study_design_scores_gemma":[0.0005148331,0.0007066384,0.01536768,0.00001037609,0.000006138854,0.000004754295,0.000008989039,0.05806582,0.0003255826,0.9242998,0.000539307,0.0001500863],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9382025,0.0006020739,0.05633184,0.0007535696,0.002116443,0.0007528605,0.000002421039,0.0003265255,0.0009117844],"genre_scores_gemma":[0.9969411,0.00001775769,0.002744527,0.0002099566,0.00001476439,0.00002640517,0.000001822684,0.000008166789,0.00003551786],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.06344616,"threshold_uncertainty_score":0.5224074,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0153213208356162,"score_gpt":0.2229733329014039,"score_spread":0.2076520120657877,"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."}}