{"id":"W2608480642","doi":"10.1090/crmp/046/14","title":"On the difference of arithmetic functions at consecutive arguments","year":2008,"lang":"en","type":"book-chapter","venue":"CRM proceedings & lecture notes","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Arithmetic; Mathematics; Algebra over a field; Pure mathematics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002291854,0.0009384298,0.001151377,0.001788036,0.0009834826,0.002507526,0.002303006,0.001622344,0.008616387],"category_scores_gemma":[0.008912807,0.0006948969,0.001133002,0.00152345,0.005543817,0.01033968,0.002955186,0.005766578,0.001613486],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001458982,"about_ca_system_score_gemma":0.0006204705,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007197093,"about_ca_topic_score_gemma":0.000633123,"domain_scores_codex":[0.9984673,0.0004028372,0.00009529474,0.0003522197,0.0005024183,0.0001798892],"domain_scores_gemma":[0.9970254,0.001957484,0.0001484085,0.0003739777,0.0003716486,0.0001230354],"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":[0.00008913147,0.00001167879,0.0001246086,0.00003667057,0.000005742493,0.00004632921,0.0001358944,0.0008219857,0.0008555739,0.9801612,0.001306073,0.016405],"study_design_scores_gemma":[0.00001320005,0.00002915133,0.0001550447,0.00002048787,0.000008039953,0.00008623222,0.00003828889,0.004431116,0.0007138771,0.9885311,0.005963216,0.0000102789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09546235,0.006803798,0.6306411,0.003731058,0.003445898,0.00007648074,0.0002817254,0.000462152,0.2590955],"genre_scores_gemma":[0.7762873,0.003017948,0.1503118,0.001770944,0.001733597,0.0001192239,0.0005165511,0.0007336409,0.06550904],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008616387,"threshold_uncertainty_score":0.02882469,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02483175830167316,"score_gpt":0.2174473871943408,"score_spread":0.1926156288926677,"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."}}