{"id":"W4402757484","doi":"10.1007/978-3-031-61347-0_2","title":"Analytic Inequalities and Other Tools","year":2024,"lang":"en","type":"book-chapter","venue":"Frontiers in probability and the statistical sciences","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Inequality; Mathematics; Calculus (dental); Sociology; Mathematical economics; Computer science; Applied mathematics; 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":[0.0009653658,0.001302949,0.001227171,0.00186083,0.001246691,0.004261212,0.001026678,0.001574562,0.02212615],"category_scores_gemma":[0.002948049,0.0004041169,0.000651974,0.002150556,0.004109291,0.003744497,0.001405058,0.00515909,0.007999441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001904376,"about_ca_system_score_gemma":0.001076644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001815192,"about_ca_topic_score_gemma":0.002037339,"domain_scores_codex":[0.9993222,0.0002496425,0.00002227463,0.00009415529,0.0002563698,0.00005538621],"domain_scores_gemma":[0.99923,0.0004924636,0.00003101918,0.00009050313,0.0001207185,0.00003538146],"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":[0.000004299985,0.00001190927,0.00002412548,0.00007424632,0.000005329192,0.00001829114,0.0001143482,0.0002595762,0.0001115836,0.9434301,0.04326633,0.01267975],"study_design_scores_gemma":[0.000002712872,0.000006250377,0.00007559167,0.0000713172,0.000002998761,0.00003470337,0.0000421922,0.0003841674,0.00005649592,0.7432102,0.256109,0.000004361344],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.001014838,0.09071098,0.04236161,0.007297369,0.004838221,0.00003826703,0.0003188577,0.0001939049,0.8532259],"genre_scores_gemma":[0.08156008,0.09347445,0.04498091,0.009449509,0.01394771,0.0003800518,0.0008465998,0.0005821465,0.7547786],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.02212615,"threshold_uncertainty_score":0.07401931,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1330111727922191,"score_gpt":0.341779490873484,"score_spread":0.2087683180812649,"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."}}