{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001614442,0.0009786773,0.001003345,0.003486378,0.002831106,0.002422553,0.002086204,0.001599251,0.01259508],"category_scores_gemma":[0.0075524,0.0003584363,0.001557862,0.004021586,0.004736542,0.008246387,0.004950724,0.003678254,0.002498271],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001798156,"about_ca_system_score_gemma":0.001074503,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003778236,"about_ca_topic_score_gemma":0.003640501,"domain_scores_codex":[0.9992455,0.0002327548,0.00003182248,0.0001253449,0.0002353703,0.0001292022],"domain_scores_gemma":[0.9982456,0.00106474,0.00006507208,0.00026199,0.0002287939,0.0001337881],"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":[0.00001629688,0.00001485247,0.00011441,0.00003963409,0.000004815673,0.00006672228,0.0001414214,0.0005303284,0.0001489328,0.9788134,0.003720185,0.01638898],"study_design_scores_gemma":[0.000008602493,0.00001619874,0.0001717859,0.00003455187,0.0000117496,0.0001712187,0.00005926755,0.004032506,0.0003043795,0.9627656,0.03240855,0.00001564565],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.03415438,0.01048511,0.5649232,0.009258454,0.00258061,0.0001365173,0.0002944472,0.001012923,0.3771544],"genre_scores_gemma":[0.5002632,0.01370697,0.3020837,0.004814405,0.00325592,0.0005236889,0.0004731114,0.001155058,0.173724],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.01259508,"threshold_uncertainty_score":0.04213476,"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."}}