{"id":"W1990498982","doi":"10.4153/cmb-2009-046-2","title":"Covering Discs in Minkowski Planes","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Homothetic transformation; Minkowski space; Combinatorics; Regular polygon; Simple (philosophy); Lemma (botany); Mathematical proof; Unit (ring theory); Inscribed figure; Cover (algebra); Geometry; Unit circle; Pure mathematics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001066287,0.0003653473,0.0005519013,0.0009982898,0.0006297238,0.001363985,0.0007016289,0.0007420276,0.002025565],"category_scores_gemma":[0.005134377,0.0003391545,0.0003792779,0.0008351658,0.001561587,0.002196955,0.001489185,0.000565963,0.000219321],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009042778,"about_ca_system_score_gemma":0.0002494256,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001059679,"about_ca_topic_score_gemma":0.0004932932,"domain_scores_codex":[0.9990252,0.000400126,0.00006968687,0.0001548194,0.0002193384,0.0001307869],"domain_scores_gemma":[0.9983224,0.0009023271,0.0002860441,0.0002009327,0.0001378036,0.0001503341],"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":[0.0002724147,0.00003104839,0.00295814,0.0002779787,0.00003491504,0.0005475347,0.0006144862,0.1131779,0.01049122,0.8336254,0.001574268,0.03639474],"study_design_scores_gemma":[0.00006752697,0.0001471045,0.0036966,0.0001182009,0.00003443944,0.001161804,0.0009581756,0.3731729,0.01320091,0.5931917,0.01420373,0.0000469161],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8212174,0.001096073,0.1613765,0.0005282932,0.00004863398,0.00005408692,0.0002051672,0.00008352225,0.01539038],"genre_scores_gemma":[0.9632186,0.0005005894,0.03409317,0.0000688089,0.00003579177,0.00003594396,0.0001551409,0.00003049779,0.001861547],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002025565,"threshold_uncertainty_score":0.006776214,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007491105220760263,"score_gpt":0.2053484224211864,"score_spread":0.1978573172004261,"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."}}