{"id":"W2335286796","doi":"10.4064/cm136-2-8","title":"Estimates for the arctangent function related to Shafer's inequality","year":2014,"lang":"en","type":"article","venue":"Colloquium Mathematicum","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii; Autoritatea Natională pentru Cercetare Stiintifică; CERN","keywords":"Inverse trigonometric functions; Mathematics; Inequality; Function (biology); Applied mathematics; Mathematical economics; Calculus (dental); Econometrics; Mathematical analysis; Medicine","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002177419,0.0003135536,0.0005303091,0.00007330258,0.0004663973,0.0001402325,0.0005121319,0.0001261547,0.0004887529],"category_scores_gemma":[0.003852455,0.0002044194,0.0002402637,0.0003804005,0.00008630462,0.00008588047,0.0001577328,0.0001481084,0.0002890201],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006773989,"about_ca_system_score_gemma":0.00002832233,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009207136,"about_ca_topic_score_gemma":0.00001352036,"domain_scores_codex":[0.997722,0.00008810221,0.0009270603,0.0003858977,0.0003952918,0.0004816388],"domain_scores_gemma":[0.9915533,0.006640384,0.0002799628,0.001112796,0.0002200811,0.0001934883],"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":[0.00003062838,0.0002039735,0.00001196363,0.0006090156,0.00009461754,1.184724e-7,0.0009075912,0.00002895132,0.0003991351,0.9730952,0.02383898,0.0007797821],"study_design_scores_gemma":[0.000390886,0.0001853657,0.00007470378,0.0001241549,0.0002622065,0.000005998196,0.000646452,0.03146062,0.0006001754,0.9477742,0.01818058,0.0002947138],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04010458,0.00006972114,0.9389065,0.007500794,0.0003919118,0.003775472,0.00005901321,0.000484075,0.008707916],"genre_scores_gemma":[0.8584243,0.000004286585,0.1264213,0.001375648,0.0002962959,0.004739811,0.00002415797,0.0001492439,0.008564923],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8183197,"threshold_uncertainty_score":0.833598,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08214928547172222,"score_gpt":0.3621638787660489,"score_spread":0.2800145932943267,"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."}}