{"id":"W4388320420","doi":"10.1093/oso/9780198534938.003.0015","title":"Derivative estimates on the unit interval","year":2002,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Montréal","funders":"","keywords":"Unit interval; Interval (graph theory); Real line; Unit (ring theory); Derivative (finance); Mathematics; Polynomial; Line (geometry); Discrete mathematics; Combinatorics; Mathematical analysis; Geometry","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001276945,0.0002821484,0.0002962648,0.00005081168,0.0001191995,0.00005082472,0.0003404278,0.0001426253,0.01589371],"category_scores_gemma":[0.0001403359,0.0001615617,0.0001371514,0.0000205609,0.00009119676,0.00001452969,0.00009723341,0.0003063199,0.001654623],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002174272,"about_ca_system_score_gemma":0.00001072777,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001454266,"about_ca_topic_score_gemma":0.000003955245,"domain_scores_codex":[0.9991339,0.000006668736,0.0003100666,0.0001988065,0.000218233,0.0001322666],"domain_scores_gemma":[0.9975315,0.001467976,0.0002145502,0.0006667711,0.0000770506,0.00004209263],"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":[6.433605e-7,0.00002839508,1.332049e-7,0.00003877775,0.000058284,9.597944e-7,0.0001280667,1.543142e-7,0.000001936278,0.8403586,0.1591229,0.0002612552],"study_design_scores_gemma":[0.00003905616,0.00002581186,3.370412e-7,0.0002126858,0.00005141746,0.000003370853,0.00002521387,0.0005372979,0.0001114925,0.8038395,0.1949876,0.0001662887],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00002938026,0.00001371826,0.003733899,0.001531242,0.00002652445,0.0004663069,0.00002708324,0.0001097642,0.9940621],"genre_scores_gemma":[0.0008794375,0.00002900177,0.0134972,0.0003690897,0.00007966977,0.00006626674,0.000009665362,0.00007887074,0.9849908],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.03651905,"threshold_uncertainty_score":0.9991227,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1986487051660935,"score_gpt":0.333869090666803,"score_spread":0.1352203855007095,"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."}}