{"id":"W2087518443","doi":"10.4153/cmb-2010-091-8","title":"Hardy Inequalities on the Real Line","year":2010,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Inequality; Real line; Line (geometry); Conjecture; Type (biology); Pure mathematics; Calculus (dental); Algebra over a field; Mathematical analysis; Geometry","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":[0.002072079,0.0004458198,0.0004370994,0.001437076,0.0006176708,0.001503915,0.0007277348,0.000637477,0.005068521],"category_scores_gemma":[0.006267855,0.0001761465,0.0004269777,0.0006866097,0.002513003,0.00262967,0.001151088,0.001948305,0.0004779564],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001492687,"about_ca_system_score_gemma":0.000420389,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001691024,"about_ca_topic_score_gemma":0.0008568211,"domain_scores_codex":[0.9989432,0.0003250396,0.00005108811,0.0001767676,0.0003728367,0.0001311516],"domain_scores_gemma":[0.9964089,0.001703265,0.0004024203,0.0002460107,0.0009198337,0.0003195613],"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":[0.00002958544,0.000009715352,0.0002461625,0.00005216199,0.00001001805,0.0001117174,0.0001576836,0.001795212,0.003366153,0.9861373,0.001188546,0.006895813],"study_design_scores_gemma":[0.0000169739,0.00005229054,0.001213424,0.00005021207,0.00001216928,0.0002009552,0.0001263454,0.02621668,0.001989838,0.9591324,0.01096449,0.00002426435],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2613664,0.006994843,0.5096607,0.006996401,0.0009664195,0.00005890217,0.000325826,0.0002272802,0.2134032],"genre_scores_gemma":[0.9479837,0.002202288,0.02735125,0.0008262314,0.0006053596,0.00004784568,0.0001052301,0.00006563515,0.02081239],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005068521,"threshold_uncertainty_score":0.01695585,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06692301078846587,"score_gpt":0.285758131674986,"score_spread":0.2188351208865201,"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."}}