{"id":"W2369314892","doi":"","title":"An Extension of Mulhulland’s Inequality","year":2010,"lang":"en","type":"article","venue":"Journal of Hunan Institute of Science and Technology","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Toronto Metropolitan University","funders":"","keywords":"Extension (predicate logic); Mathematics; Log sum inequality; Inequality; Rearrangement inequality; Kantorovich inequality; Bernoulli's inequality; Hadamard transform; Constant (computer programming); Cauchy–Schwarz inequality; Applied mathematics; Mathematical analysis; Calculus (dental); Linear inequality; Pure mathematics; Computer science; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002109449,0.001007483,0.001076817,0.002214801,0.001030137,0.001812124,0.001634949,0.0011575,0.01098439],"category_scores_gemma":[0.005996685,0.000278336,0.001433589,0.002276538,0.001704992,0.006026083,0.001942629,0.004098068,0.002266321],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001313878,"about_ca_system_score_gemma":0.000816001,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00163243,"about_ca_topic_score_gemma":0.002264778,"domain_scores_codex":[0.9982747,0.0004589681,0.0001093586,0.0003913733,0.0005676419,0.0001979283],"domain_scores_gemma":[0.9975798,0.0009381828,0.0001389461,0.0004443984,0.0008043855,0.00009440688],"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":[0.0001028842,0.00003896367,0.0004919486,0.000284563,0.00005234102,0.0004282167,0.0001989896,0.004627849,0.006341886,0.9001007,0.009203506,0.07812824],"study_design_scores_gemma":[0.00002340137,0.0000789011,0.001103572,0.00009958722,0.00004863951,0.0008340622,0.00006565204,0.06879631,0.004838393,0.8664799,0.05756237,0.00006918319],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01861027,0.004919142,0.8610161,0.003687195,0.002406111,0.00008694795,0.0006131383,0.0001919189,0.1084691],"genre_scores_gemma":[0.4521588,0.00959285,0.4517179,0.003319112,0.004833772,0.0003037357,0.0009078248,0.0004522648,0.0767137],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01098439,"threshold_uncertainty_score":0.03674644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03953740177740196,"score_gpt":0.3558842760917363,"score_spread":0.3163468743143343,"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."}}