{"id":"W4403733993","doi":"10.7153/mia-2024-27-64","title":"Abstract Hardy inequalities: The case p=1","year":2024,"lang":"en","type":"article","venue":"Mathematical Inequalities & Applications","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Inequality; Calculus (dental); Pure mathematics; Mathematical economics; Algebra over a field; Mathematical analysis; Medicine; Orthodontics","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":[0.001776918,0.000986058,0.0007238721,0.001691326,0.0008311206,0.00339277,0.001140964,0.001516652,0.01128036],"category_scores_gemma":[0.007123843,0.0003494474,0.0006336871,0.001281114,0.002219939,0.004504677,0.002314563,0.004179429,0.001243827],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001249798,"about_ca_system_score_gemma":0.0006294529,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001007638,"about_ca_topic_score_gemma":0.0003832965,"domain_scores_codex":[0.9988656,0.0003269898,0.00004809834,0.0002849949,0.0003139644,0.0001603281],"domain_scores_gemma":[0.9972977,0.001502276,0.0002963935,0.0001451627,0.0004207393,0.0003377133],"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":[0.00008299208,0.00001913029,0.0002666817,0.0001922671,0.0000182972,0.0002631531,0.0001720159,0.00253617,0.001756851,0.9666904,0.0075245,0.02047743],"study_design_scores_gemma":[0.00001307812,0.00002584413,0.0003633529,0.00004290241,0.000008481415,0.0002353973,0.00007227816,0.01370321,0.0005875918,0.9788876,0.006047404,0.00001285724],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.147699,0.02352354,0.4190108,0.02599299,0.005019308,0.00006720908,0.0008258671,0.000293421,0.3775679],"genre_scores_gemma":[0.9049425,0.006642038,0.02364668,0.001517853,0.004868879,0.00005972105,0.0003590788,0.0001381828,0.05782511],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01128036,"threshold_uncertainty_score":0.03773654,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1577067208562865,"score_gpt":0.4335566017397264,"score_spread":0.2758498808834399,"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."}}