{"id":"W2024171735","doi":"10.5539/jmr.v1n1p69","title":"On the Proof of Bushell-Trustrum Inequality","year":2009,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Inequality; Calculus (dental); Mathematical analysis","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaresearch"],"consensus_categories":[],"category_scores_codex":[0.01849126,0.0002034299,0.0006816341,0.0004023473,0.0002322898,0.0000450276,0.001108781,0.0001420045,0.0004934613],"category_scores_gemma":[0.01154243,0.0001183176,0.0002965683,0.0004650739,0.000343371,0.0001282927,0.0000770128,0.001173726,0.00003541595],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001228845,"about_ca_system_score_gemma":0.0002113175,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":7.909579e-7,"about_ca_topic_score_gemma":0.000001137508,"domain_scores_codex":[0.9950137,0.0007748603,0.001454175,0.0001369135,0.002200806,0.0004196151],"domain_scores_gemma":[0.9888322,0.008082403,0.001054389,0.000843674,0.001036789,0.0001504857],"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":[0.0001013074,0.002079849,0.00000357893,0.0005439849,0.00008395287,0.00003159956,0.005753757,0.0000151501,0.001747244,0.9656162,0.02278995,0.001233389],"study_design_scores_gemma":[0.0003786876,0.00099421,0.000009930918,0.0006431787,0.00003570687,0.0001027796,0.002031687,0.0002792778,0.01926794,0.9752295,0.0009137707,0.0001133377],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9548248,0.0001541235,0.008156128,0.002748504,0.0001611434,0.0006179053,0.000007469952,0.00001886383,0.03331108],"genre_scores_gemma":[0.9819212,0.00002500855,0.01642654,0.0000671126,0.000151433,0.000004431451,2.399384e-7,0.00003087465,0.001373159],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03193792,"threshold_uncertainty_score":0.9967838,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2486134454424118,"score_gpt":0.4431391191893075,"score_spread":0.1945256737468957,"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."}}