{"id":"W4220799029","doi":"10.1007/s00233-021-10248-0","title":"Levi-Civita functional equations and the status of spectral synthesis on semigroups-II","year":2022,"lang":"en","type":"article","venue":"Semigroup Forum","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Prime (order theory); Commutative property; Semigroup; Pure mathematics; Ideal (ethics); Prime ideal; Element (criminal law); Algebra over a field; Spectral properties; Combinatorics; Law","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":[0.001771589,0.0005899267,0.0007002478,0.001566802,0.001706899,0.003534996,0.0006528448,0.001603178,0.006309837],"category_scores_gemma":[0.003088889,0.0002833953,0.0006872041,0.0007631083,0.00331593,0.004697407,0.001468353,0.002348765,0.000581976],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001897335,"about_ca_system_score_gemma":0.0008117572,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006006222,"about_ca_topic_score_gemma":0.0002610054,"domain_scores_codex":[0.9994312,0.0002029191,0.00003091838,0.000102327,0.0001501185,0.00008247937],"domain_scores_gemma":[0.9982942,0.0009903188,0.0001346545,0.0001327681,0.0002666187,0.0001815868],"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":[0.000007401066,0.000005532316,0.00003008154,0.00001247876,0.000002131446,0.00001104644,0.00005754523,0.0004185952,0.0003460606,0.9973316,0.0003057923,0.001471698],"study_design_scores_gemma":[0.000004290543,0.000008398953,0.00004956232,0.000007227781,0.000001500043,0.00001435409,0.00003215435,0.004601063,0.0002031506,0.9933478,0.00172602,0.000004505967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2902358,0.02079779,0.4324343,0.01751811,0.00255442,0.00005405179,0.0003682023,0.0003133583,0.235724],"genre_scores_gemma":[0.95238,0.002978277,0.01661878,0.0005683892,0.00153644,0.00007000236,0.0001353101,0.00008277308,0.02562996],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006309837,"threshold_uncertainty_score":0.02110851,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04178086187721122,"score_gpt":0.2661747514981081,"score_spread":0.2243938896208969,"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."}}