{"id":"W4400596748","doi":"10.55016/ojs/cdm.v13i2.62732","title":"Arrangements of Homothets of a Convex Body II","year":2018,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Nemzeti Kutatási, Fejlesztési és Innovaciós Alap; Emberi Eroforrások Minisztériuma; Magyar Tudományos Akadémia","keywords":"Convex body; Combinatorics; Mathematics; Minkowski space; Regular polygon; Minkowski addition; Euclidean space; Boundary (topology); Center (category theory); Mixed volume; Sequence (biology); Convex set; Convex hull; Geometry; Mathematical analysis; Crystallography; Convex optimization; Chemistry","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":[0.0003614388,0.0004130932,0.0004771961,0.001072209,0.001597442,0.001511383,0.0006648609,0.0003966157,0.00913626],"category_scores_gemma":[0.001518523,0.0004513887,0.0006589005,0.0006468376,0.002549022,0.001546117,0.002239014,0.00152704,0.001200925],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007203515,"about_ca_system_score_gemma":0.000374739,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001240617,"about_ca_topic_score_gemma":0.001068044,"domain_scores_codex":[0.9993086,0.00008434382,0.00004433926,0.0001901664,0.0001910805,0.0001815266],"domain_scores_gemma":[0.9990172,0.0001787353,0.0002349524,0.0002058363,0.000139937,0.0002233301],"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":[0.0002632305,0.00006171622,0.005203487,0.0001064313,0.0000353315,0.0006562166,0.0008152056,0.01253176,0.0176716,0.9137593,0.00341683,0.04547896],"study_design_scores_gemma":[0.00007602984,0.0003384278,0.01146149,0.00009292115,0.00004661882,0.001652955,0.001969836,0.0647127,0.0169111,0.8706796,0.0319741,0.00008425108],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6892347,0.0005322268,0.2305187,0.0003981248,0.0002455139,0.00009392534,0.000432174,0.0002441974,0.07830046],"genre_scores_gemma":[0.929531,0.0003450635,0.04694663,0.000117723,0.0001213953,0.00008516848,0.0006267641,0.0001209284,0.02210538],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00913626,"threshold_uncertainty_score":0.03056383,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03397938438709129,"score_gpt":0.3605655692135098,"score_spread":0.3265861848264185,"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."}}