{"id":"W4210385628","doi":"10.1080/00029890.2022.2026180","title":"Jordan’s Inequality — as Sharp as You Please","year":2022,"lang":"en","type":"article","venue":"American Mathematical Monthly","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"","keywords":"Inequality; Sociology; Mathematical economics; Mathematics; Mathematical analysis","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":[0.002107762,0.00159098,0.001081408,0.002089626,0.002622314,0.00787816,0.001042177,0.002389205,0.02807433],"category_scores_gemma":[0.009800229,0.0005454833,0.0007699266,0.001976633,0.004095508,0.01004324,0.003829876,0.00853114,0.02224364],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001985012,"about_ca_system_score_gemma":0.001332193,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001300967,"about_ca_topic_score_gemma":0.001175205,"domain_scores_codex":[0.99834,0.0004629887,0.0001003168,0.0002767808,0.0006295259,0.0001902943],"domain_scores_gemma":[0.9975522,0.0006661566,0.0002027983,0.0003401049,0.0009796926,0.0002591516],"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":[0.00004997919,0.00002341787,0.000180068,0.00008683842,0.00001862145,0.00006771386,0.0001567766,0.0003273693,0.0005724724,0.6632379,0.2789297,0.05634918],"study_design_scores_gemma":[0.00001519427,0.0000163267,0.0003655789,0.0001006429,0.00001211036,0.0001941657,0.0001388006,0.001346857,0.001115078,0.5926501,0.4040179,0.00002736159],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.005805607,0.02204082,0.07434074,0.1856996,0.0288233,0.0000421511,0.0005039126,0.0007377623,0.6820061],"genre_scores_gemma":[0.2446333,0.02928065,0.04953291,0.0335994,0.02742713,0.0002764215,0.0008001809,0.001751531,0.6126984],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.02807433,"threshold_uncertainty_score":0.09391797,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05388114850226484,"score_gpt":0.3500354706972468,"score_spread":0.2961543221949819,"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."}}