{"id":"W2010416098","doi":"10.1016/j.comgeo.2005.11.002","title":"Three problems about simple polygons","year":2006,"lang":"en","type":"article","venue":"Computational Geometry","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Disjoint sets; Combinatorics; Simple (philosophy); Triangulation; Regular polygon; Simple polygon; Mathematics; Polygon (computer graphics); Convex hull; Series (stratigraphy); Convex polygon; Subroutine; SIMPLE algorithm; Monotone polygon; Discrete mathematics; Computer science; 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":[],"consensus_categories":[],"category_scores_codex":[0.0003000746,0.0002165763,0.0001918615,0.0005280275,0.0003386988,0.0003045553,0.0006307116,0.00008231233,0.00008959552],"category_scores_gemma":[0.00004399652,0.000226089,0.0001205988,0.001845925,0.00005662419,0.0005929071,0.0002194745,0.0001553998,0.0003020911],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007296557,"about_ca_system_score_gemma":0.000171542,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00008580485,"about_ca_topic_score_gemma":0.00003915193,"domain_scores_codex":[0.9979457,0.00003789398,0.0004407449,0.0005415016,0.000661144,0.0003729795],"domain_scores_gemma":[0.9987901,0.0002905646,0.0001542028,0.0003390679,0.000314207,0.0001118629],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"simulation_or_modeling","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000002842802,0.0001405729,0.002625125,0.00001585674,0.00001905273,0.000006991804,0.00002605786,0.6141338,0.000186917,0.3492018,0.0116516,0.02198944],"study_design_scores_gemma":[0.0004175325,0.00005249412,0.1383214,0.00001022281,0.000006002457,0.00004325035,0.000002576802,0.455629,0.0001502317,0.3899671,0.01510646,0.0002937912],"study_design_candidate":"simulation_or_modeling","study_design_consensus":"simulation_or_modeling","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.0474082,0.000693831,0.9471412,0.0007783267,0.0004266238,0.0002166357,0.00001575749,0.0003219667,0.002997498],"genre_scores_gemma":[0.8766458,0.000002725004,0.1217476,0.000477521,0.0004448224,0.00002931252,0.0002887781,0.00001552679,0.0003479112],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8292376,"threshold_uncertainty_score":0.9219644,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01401055609641627,"score_gpt":0.2378212923940115,"score_spread":0.2238107362975952,"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."}}