{"id":"W1967619451","doi":"10.1016/j.camwa.2011.07.022","title":"A new refinement of the Janous–Gmeiner inequality for a triangle","year":2011,"lang":"en","type":"article","venue":"Computers & Mathematics with Applications","topic":"Mathematics and Applications","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Inequality; Triangle inequality; Algebraic number; Nonlinear system; Algebra over a field; Calculus (dental); Pure mathematics; Applied mathematics; Discrete mathematics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0004163442,0.0002388519,0.0004563022,0.00007102318,0.0001949343,0.00002502894,0.000751964,0.0000714405,0.00006963703],"category_scores_gemma":[0.00008184118,0.0001526944,0.0002030213,0.0004564898,0.00009826596,0.0000440633,0.0001432584,0.0001030324,0.00001149948],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003587442,"about_ca_system_score_gemma":0.0001433207,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001945914,"about_ca_topic_score_gemma":0.00002737036,"domain_scores_codex":[0.9983531,0.00002489408,0.0007861028,0.0002913798,0.0002917778,0.0002527855],"domain_scores_gemma":[0.9968753,0.0006008318,0.0007133194,0.001460753,0.0002302839,0.0001195252],"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":[0.00001476448,0.001003268,0.00003725374,0.0006776568,0.0001251447,9.834944e-8,0.003238474,0.000006006665,0.000249659,0.967955,0.02341558,0.00327707],"study_design_scores_gemma":[0.001666712,0.000155322,0.0001168116,0.0002894467,0.0004079166,0.00001666819,0.0004554739,0.003778518,0.004339526,0.9635305,0.02482395,0.0004191856],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.002991826,0.00002208288,0.9869829,0.0004262224,0.00003409123,0.003299707,0.00004567562,0.0000967894,0.006100717],"genre_scores_gemma":[0.0329895,0.000004078821,0.9637647,0.00007779589,0.00007792506,0.001946433,0.000008881507,0.00005308495,0.001077624],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.02999767,"threshold_uncertainty_score":0.6226695,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1103973455594815,"score_gpt":0.3097896365801526,"score_spread":0.1993922910206712,"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."}}