{"id":"W4241258769","doi":"10.1090/dol/026/21","title":"Section 21. Three Geometry Problems","year":2003,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Mathematics and Applications","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Section (typography); Geometry; Geology; Computer science; Mathematics","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":[0.0002827133,0.0009616457,0.0005994473,0.001290819,0.002341175,0.003094738,0.001044487,0.00119381,0.0647755],"category_scores_gemma":[0.0007050211,0.0003015654,0.0007784275,0.001294464,0.001778635,0.002986273,0.001438076,0.003386766,0.02337211],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00238675,"about_ca_system_score_gemma":0.001221534,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002966265,"about_ca_topic_score_gemma":0.00278467,"domain_scores_codex":[0.9997271,0.00004794245,0.00001064402,0.00004968775,0.0001234979,0.0000411896],"domain_scores_gemma":[0.9997979,0.00005226636,0.00001485205,0.0000307363,0.00007108015,0.00003322366],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001258592,0.00002762871,0.00005887737,0.0001039819,0.000004236564,0.00005203953,0.0001874956,0.0002511376,0.0003699142,0.8131008,0.1489532,0.03687815],"study_design_scores_gemma":[0.000006022557,0.000008246474,0.0001747202,0.00005367734,0.000005250653,0.0001481463,0.00009384063,0.000228373,0.0002714672,0.4466605,0.552343,0.000006700679],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.001595864,0.005994517,0.009111935,0.003317337,0.001411585,0.00002760161,0.0002760336,0.0001311262,0.9781341],"genre_scores_gemma":[0.04432637,0.007957689,0.007439822,0.001846023,0.002063678,0.000106383,0.0009150227,0.0003193889,0.9350257],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.0647755,"threshold_uncertainty_score":0.2166956,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04094477913072105,"score_gpt":0.2783186563743708,"score_spread":0.2373738772436497,"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."}}