{"id":"W4239410129","doi":"10.1090/dol/026/16","title":"Section 16. Two Gems from Euclidean Geometry","year":2003,"lang":"en","type":"book-chapter","venue":"American Mathematical Society eBooks","topic":"Mineralogy and Gemology Studies","field":"Earth and Planetary Sciences","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Section (typography); Geometry; Non-Euclidean geometry; Euclidean geometry; Computer science; Mathematics; Operating system","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":["metaepi_narrow","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0002802535,0.0004836091,0.0008668085,0.000047624,0.0003278069,0.00003943,0.00025019,0.0003200097,0.00965923],"category_scores_gemma":[0.00004496866,0.0003986195,0.0005227914,0.00003940442,0.001589882,0.00003696575,0.00003752296,0.0007740777,0.001356113],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002394907,"about_ca_system_score_gemma":0.0000371807,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001325057,"about_ca_topic_score_gemma":0.0007457187,"domain_scores_codex":[0.9980679,0.00005691738,0.0004669616,0.0005963151,0.0003442349,0.0004676644],"domain_scores_gemma":[0.9983349,0.0006834817,0.0003437514,0.0004001492,0.0000491009,0.0001885824],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00017325,0.0001559547,0.02163528,0.000480109,0.008476786,0.0002140435,0.00645135,0.000106772,0.0000557532,0.1720686,0.4824941,0.307688],"study_design_scores_gemma":[0.0004845416,0.0003168691,0.001467499,0.0001119236,0.0004794392,0.00005785634,0.0006385322,0.0002799944,0.00001338965,0.7354988,0.2595227,0.001128494],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.005148828,0.000457465,0.001384148,0.000293687,0.0004110527,0.0002554709,0.0001922444,0.0001256279,0.9917315],"genre_scores_gemma":[0.04056024,0.0002671893,0.01161491,0.01039333,0.00148826,0.000009746254,0.0004218126,0.00006780097,0.9351767],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5634302,"threshold_uncertainty_score":0.9998466,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01669741271589719,"score_gpt":0.2255649116936807,"score_spread":0.2088674989777835,"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."}}