{"id":"W1967598840","doi":"10.4153/cmb-2009-039-x","title":"A Note on Covering by Convex Bodies","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Freie Universität Berlin; Magyar Tudományos Akadémia; Hungarian Scientific Research Fund; Canadian Mathematical Society","keywords":"Mathematics; Convex body; Combinatorics; Regular polygon; Euclidean space; Space (punctuation); Lattice (music); Euclidean geometry; Convex hull; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003920521,0.000235863,0.000396613,0.0002066038,0.0001527325,0.00009882775,0.0002441016,0.0001329455,0.008092112],"category_scores_gemma":[0.002456586,0.0002071812,0.00009471992,0.0001630174,0.00006220858,0.0000341898,0.00001617486,0.0002222906,0.005191646],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001640555,"about_ca_system_score_gemma":0.0001062099,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002988411,"about_ca_topic_score_gemma":0.0001685413,"domain_scores_codex":[0.99842,0.00003360768,0.0003849844,0.0002540076,0.00029762,0.0006097609],"domain_scores_gemma":[0.9982824,0.0007636088,0.00007907506,0.0003271712,0.00007050208,0.0004772407],"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":[0.00001191887,0.00008752021,0.000002586465,0.0002076336,0.00001686496,0.00004189401,0.0005912482,0.000001010581,0.00003923598,0.6333274,0.3634465,0.002226142],"study_design_scores_gemma":[0.0002935376,0.0001777498,0.00001101917,0.0001804989,0.00002169716,0.00002074282,0.0001875772,0.000095557,0.0006687229,0.6853606,0.3126396,0.0003427554],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1062822,0.0006623623,0.02144124,0.06990592,0.0002877217,0.001082555,0.0003337841,0.0005250252,0.7994792],"genre_scores_gemma":[0.9631101,0.00001988963,0.003995684,0.007901904,0.0001354142,0.00002416904,0.00001189864,0.00004087528,0.02476006],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8568279,"threshold_uncertainty_score":0.9955829,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02803366126699896,"score_gpt":0.2819046571603014,"score_spread":0.2538709958933025,"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."}}