{"id":"W2919667091","doi":"10.1016/j.disopt.2019.03.002","title":"On the intrinsic volumes of intersections of congruent balls","year":2019,"lang":"en","type":"article","venue":"Discrete Optimization","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Calgary","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Ball (mathematics); Mathematics; Combinatorics; Intersection (aeronautics); Pairwise comparison; Convex body; Euclidean space; Euclidean geometry; Geometry; Discrete mathematics; Regular polygon; Convex hull","routes":{"ca_aff":true,"ca_fund":true,"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":[0.004874242,0.001555499,0.002207101,0.005802202,0.001493239,0.005909901,0.00452768,0.001799686,0.006764518],"category_scores_gemma":[0.0373898,0.001389893,0.001707981,0.002810404,0.007428116,0.009775642,0.006351898,0.005035187,0.0005316832],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00299731,"about_ca_system_score_gemma":0.001033111,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001470968,"about_ca_topic_score_gemma":0.001105891,"domain_scores_codex":[0.9963709,0.001523248,0.0001608094,0.0004567032,0.001052699,0.0004355834],"domain_scores_gemma":[0.974572,0.01887673,0.002477187,0.000889291,0.001673849,0.001510933],"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":[0.00005232175,0.0000185957,0.0005882951,0.00006249172,0.0000206694,0.00003413849,0.0001716808,0.01851118,0.0003251337,0.9756589,0.0004753142,0.004081166],"study_design_scores_gemma":[0.00001508023,0.00003116522,0.000717158,0.0000523152,0.00001922995,0.00007144186,0.0001466714,0.1199335,0.0004967263,0.8770212,0.001474522,0.00002109579],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3013107,0.003905075,0.6296552,0.002121756,0.0002941801,0.0001024257,0.000530878,0.0001562897,0.06192359],"genre_scores_gemma":[0.9197169,0.002513917,0.06455981,0.0002210736,0.0006310601,0.0002029407,0.0005824663,0.0002829689,0.01128885],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006764518,"threshold_uncertainty_score":0.02577776,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02363428599131756,"score_gpt":0.2764234025157367,"score_spread":0.2527891165244192,"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."}}