{"id":"W2133978389","doi":"10.1134/s0001434615030360","title":"On an inequality of Marcus","year":2015,"lang":"en","type":"article","venue":"Mathematical Notes","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Victoria","funders":"University of Victoria","keywords":"Mathematics; Inequality; Mathematical economics; Pure mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001416121,0.0007247353,0.0006779178,0.002277239,0.001403691,0.001703639,0.0008810594,0.0009887886,0.008176108],"category_scores_gemma":[0.007356404,0.0003078546,0.001006532,0.001503244,0.003437045,0.003361978,0.003624131,0.003208437,0.002020665],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00157423,"about_ca_system_score_gemma":0.000784423,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002669976,"about_ca_topic_score_gemma":0.001451329,"domain_scores_codex":[0.9988417,0.0002899724,0.00004959037,0.0002208775,0.0003951252,0.0002029213],"domain_scores_gemma":[0.9978536,0.00108624,0.0001296061,0.0001592067,0.0005684223,0.0002028536],"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":[0.00001222913,0.000006811822,0.0001304751,0.00005345093,0.000005390085,0.0000758958,0.0001151139,0.0003845139,0.0009064937,0.986515,0.004950026,0.006844633],"study_design_scores_gemma":[0.000006832486,0.00002553792,0.0006055534,0.00006283265,0.00001123515,0.0003069729,0.00005474025,0.005169875,0.001088076,0.9511012,0.04153715,0.00003007484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.05613532,0.01719901,0.3577724,0.01744573,0.005235817,0.00006889953,0.000641529,0.0002552128,0.5452461],"genre_scores_gemma":[0.806331,0.01041268,0.08008658,0.00584176,0.005288042,0.0001571675,0.0004206089,0.000433668,0.09102833],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008176108,"threshold_uncertainty_score":0.02735186,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2884761392208882,"score_gpt":0.4234640097297172,"score_spread":0.134987870508829,"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."}}