{"id":"W4396646704","doi":"10.1007/s00454-024-00647-9","title":"Convex Bodies of Constant Width with Exponential Illumination Number","year":2024,"lang":"en","type":"article","venue":"Discrete & Computational Geometry","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Manitoba","funders":"Natural Sciences and Engineering Research Council of Canada; Norges Forskningsråd","keywords":"Constant (computer programming); Regular polygon; Exponential function; Mathematics; Mathematical analysis; Geometry; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003314884,0.0002210976,0.0002527136,0.0004714932,0.0001420029,0.0002580893,0.0003396163,0.00006641759,0.000163657],"category_scores_gemma":[0.00004224087,0.0001924686,0.0001148303,0.001260446,0.0001791969,0.0008499203,0.0001316738,0.0001495125,0.0001029038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005843226,"about_ca_system_score_gemma":0.0002943204,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001323081,"about_ca_topic_score_gemma":0.00000292401,"domain_scores_codex":[0.9978544,0.00007667713,0.0004479719,0.0005211519,0.0008562069,0.0002435764],"domain_scores_gemma":[0.9987013,0.000423423,0.0001392314,0.0002239132,0.0004138348,0.00009823403],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005868104,0.0001329367,0.001336917,0.0002275632,0.0002732598,0.00009290015,0.001305871,0.1187189,0.0007171253,0.8336001,0.001729441,0.04180635],"study_design_scores_gemma":[0.0009306972,0.0003106863,0.0198916,0.0002724237,0.00006557475,0.0002666155,0.0001755679,0.8912045,0.002478688,0.0777656,0.005968257,0.0006697766],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09868853,0.0004918862,0.8956712,0.0006244014,0.0005917773,0.0001947714,0.0000456237,0.0001993959,0.003492405],"genre_scores_gemma":[0.9295425,0.00001276208,0.06957312,0.0001240167,0.0001321746,0.00001901702,0.0002209943,0.00001600406,0.0003594237],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8308539,"threshold_uncertainty_score":0.7848642,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.009586110527460747,"score_gpt":0.2566325331954266,"score_spread":0.2470464226679658,"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."}}