{"id":"W7281958","doi":"10.1007/978-0-387-68276-1_16","title":"Convex Functions and Some Classical Inequalities","year":2010,"lang":"en","type":"book-chapter","venue":"Springer series in statistics","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of British Columbia","funders":"","keywords":"Convexity; Compendium; Mathematics; Regular polygon; Convex function; Inequality; Variety (cybernetics); Pure mathematics; Mathematical economics; Mathematical analysis; Geometry; Philosophy; Statistics; Economics","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":[0.0005895914,0.001593343,0.001075882,0.002407334,0.001015356,0.002688932,0.001051529,0.001369446,0.01445617],"category_scores_gemma":[0.001425608,0.0006156059,0.000720803,0.003862554,0.003022317,0.003791681,0.001014864,0.004648978,0.004385094],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002388027,"about_ca_system_score_gemma":0.0009792056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002037317,"about_ca_topic_score_gemma":0.002610577,"domain_scores_codex":[0.9996033,0.00009349208,0.00002230442,0.00006283799,0.0001807288,0.00003735358],"domain_scores_gemma":[0.9996227,0.0002067207,0.00002006543,0.00003729098,0.0000939457,0.00001929992],"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":[0.000007116251,0.00001585953,0.00002886541,0.0001614325,0.000008792234,0.00003341594,0.00007870165,0.001167024,0.0002162516,0.9009029,0.05748231,0.03989728],"study_design_scores_gemma":[0.000004412592,0.000008869713,0.0002019903,0.0001025465,0.00000824494,0.00009039139,0.00004332367,0.002287102,0.0001339788,0.8289586,0.1681486,0.00001183102],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.003116501,0.1433666,0.09542084,0.008515232,0.005191874,0.00004931717,0.0003985731,0.0001511145,0.74379],"genre_scores_gemma":[0.1148552,0.2018705,0.06113179,0.006943823,0.02553523,0.0004554027,0.0009667685,0.0005836238,0.5876577],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.01445617,"threshold_uncertainty_score":0.04836076,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07800169741390178,"score_gpt":0.3218872711312615,"score_spread":0.2438855737173597,"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."}}