{"id":"W2549708270","doi":"10.1016/j.jmaa.2016.10.075","title":"Density of discrete semigroup flows","year":2016,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Topology and Set Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Semigroup; Multiplicative function; Partition (number theory); Flow (mathematics); Additive function; Pure mathematics; Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001497263,0.0004682392,0.001001819,0.002615079,0.001341419,0.00315508,0.0009232343,0.001058936,0.007876826],"category_scores_gemma":[0.00911937,0.0005947171,0.000690155,0.001066861,0.003226612,0.004586264,0.002985602,0.001845725,0.0004353827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00139851,"about_ca_system_score_gemma":0.000758459,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001028709,"about_ca_topic_score_gemma":0.0005635338,"domain_scores_codex":[0.999252,0.0002273763,0.00003719211,0.0001267979,0.0002515533,0.0001050325],"domain_scores_gemma":[0.9942892,0.003362817,0.0004798518,0.0003238997,0.0006540895,0.0008903],"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":[0.00002204239,0.00001292226,0.0002424178,0.00001691422,0.000005393061,0.00004048818,0.0001232568,0.0009665886,0.0003488431,0.9965143,0.0003306035,0.001376163],"study_design_scores_gemma":[0.00001738017,0.00001797691,0.0003708721,0.00001135011,0.000007369551,0.0001463647,0.0001065932,0.02378996,0.0002983637,0.9741964,0.001024672,0.00001272081],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5730547,0.001767391,0.356604,0.003762078,0.0004524767,0.00007623242,0.0004031799,0.0003668558,0.06351298],"genre_scores_gemma":[0.9739899,0.0006839329,0.008814903,0.0002151567,0.0004177669,0.00006412005,0.0001849288,0.00007246904,0.01555683],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007876826,"threshold_uncertainty_score":0.02635056,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01646968178734165,"score_gpt":0.3106959309105864,"score_spread":0.2942262491232447,"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."}}