{"id":"W4290980896","doi":"10.48550/arxiv.1809.09753","title":"General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem II","year":2018,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Deutsche Forschungsgemeinschaft; National Science Foundation","keywords":"Convex body; Mixed volume; Mathematics; Minkowski space; Regular polygon; Measure (data warehouse); Combinatorics; Curvature; Minkowski addition; Polytope; Pure mathematics; Mathematical analysis; Geometry; Convex hull","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.00216535,0.0004651062,0.0005775549,0.0005650069,0.0003222593,0.0001075046,0.0009628,0.0005265069,0.00023391],"category_scores_gemma":[0.0005355516,0.0003845622,0.000199653,0.001043893,0.0003797013,0.0002153158,0.001336146,0.0008600432,0.00003229095],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000126092,"about_ca_system_score_gemma":0.0001809209,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002303597,"about_ca_topic_score_gemma":0.0001708549,"domain_scores_codex":[0.9974402,0.0005184889,0.0004697231,0.0008719249,0.0001665424,0.0005331688],"domain_scores_gemma":[0.9974842,0.0008822756,0.0004192274,0.0009070811,0.0002058428,0.0001013738],"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":[0.0001232541,0.0002307331,0.0009741074,0.0006537533,0.0001944869,0.0002046619,0.006675519,0.0003352073,0.000005709308,0.9873424,0.00295043,0.0003097519],"study_design_scores_gemma":[0.0007427234,0.0001455682,0.0003843839,0.000259006,0.000231495,0.00003191457,0.002099565,0.003831397,0.00003126776,0.9899917,0.001723498,0.0005275155],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.970403,0.0004482142,0.00231819,0.000203087,0.0002422477,0.0006917095,0.00004640991,0.0001338933,0.0255133],"genre_scores_gemma":[0.9701843,0.0003912496,0.0007651998,0.0001293025,0.0001452623,0.000006341299,0.00002669589,0.00004319076,0.02830844],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004575953,"threshold_uncertainty_score":0.9998606,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07487136159589625,"score_gpt":0.2227370665207294,"score_spread":0.1478657049248331,"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."}}