{"id":"W2736497082","doi":"","title":"Extremal Problems for Convex Polygons","year":2005,"lang":"fr","type":"article","venue":"PolyPublie (École Polytechnique de Montréal)","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"HEC Montréal; Polytechnique Montréal","funders":"","keywords":"Regular polygon; Polygon (computer graphics); Mathematics; Combinatorics; Convex polygon; Series (stratigraphy); Linear programming; Point in polygon; Mathematical optimization; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001120126,0.000979283,0.001103656,0.001856661,0.0009320222,0.002221193,0.001096459,0.001436557,0.004730733],"category_scores_gemma":[0.005756965,0.000636566,0.0009252103,0.001097316,0.002125007,0.002837841,0.002313663,0.002046038,0.0005474433],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001007561,"about_ca_system_score_gemma":0.0002737647,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004527449,"about_ca_topic_score_gemma":0.00047723,"domain_scores_codex":[0.9990535,0.0003512505,0.00004128451,0.0001658114,0.0002660608,0.0001219777],"domain_scores_gemma":[0.998811,0.0007195455,0.0001648781,0.00008599799,0.0001183685,0.0001001586],"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":[0.00005603611,0.00002415912,0.0005305071,0.0001693256,0.00003671078,0.0001625868,0.0001451518,0.05377182,0.001101746,0.911835,0.00436511,0.02780182],"study_design_scores_gemma":[0.00001705096,0.00003293294,0.0003682643,0.00006065185,0.00001572116,0.0002495559,0.0001456669,0.1384206,0.0009356306,0.851374,0.008362935,0.00001695028],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1072484,0.00554197,0.802325,0.002095036,0.0003011157,0.0001062908,0.0004632188,0.0002083789,0.08171067],"genre_scores_gemma":[0.7774121,0.004393341,0.1975672,0.0002913443,0.0006653264,0.0002378316,0.0008878142,0.000305949,0.01823911],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004730733,"threshold_uncertainty_score":0.01582587,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02463987846083946,"score_gpt":0.251696447566421,"score_spread":0.2270565691055816,"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."}}