{"id":"W2116933308","doi":"10.1090/s0002-9939-00-05650-1","title":"Inequalities of Reid type and Furuta","year":2000,"lang":"en","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Mathematical Inequalities and Applications","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":true,"ca_institutions":"Bishop's University","funders":"","keywords":"Inequality; Mathematics; Hilbert space; Pure mathematics; Bounded function; Linear inequality; Kantorovich inequality; Log sum inequality; Type (biology); Calculus (dental); 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":[0.002571441,0.0007062878,0.0009975268,0.002522489,0.001717183,0.002238845,0.001776946,0.002129534,0.01159065],"category_scores_gemma":[0.01345331,0.0004210626,0.001572425,0.002331782,0.004182522,0.007079756,0.003709457,0.004356697,0.002108237],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00219949,"about_ca_system_score_gemma":0.001215836,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002086482,"about_ca_topic_score_gemma":0.001108484,"domain_scores_codex":[0.9971316,0.0005888057,0.0001966002,0.0006097269,0.0009932255,0.0004799916],"domain_scores_gemma":[0.9962412,0.001674953,0.0004567912,0.0005376571,0.0009621928,0.0001271816],"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":[0.00002467977,0.000005852854,0.0001715915,0.00006410816,0.000009244513,0.00008755163,0.0001173758,0.000547478,0.0006266529,0.9819094,0.003869526,0.01256656],"study_design_scores_gemma":[0.0000163442,0.00002975533,0.0007955976,0.00005382808,0.00002063938,0.000352802,0.00009782383,0.005827424,0.002033475,0.9545776,0.03614878,0.00004603531],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09261768,0.020106,0.4856278,0.01172387,0.002930022,0.0001955369,0.001886099,0.0004197028,0.3844933],"genre_scores_gemma":[0.778361,0.01223233,0.1176848,0.004447351,0.004025214,0.0006184952,0.00131064,0.0002691445,0.08105092],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01159065,"threshold_uncertainty_score":0.03877461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04745024732013182,"score_gpt":0.3178687466765651,"score_spread":0.2704184993564333,"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."}}