{"id":"W4403976109","doi":"10.55016/ojs/cdm.v19i3.75983","title":"On the blocking numbers of some special convex bodies","year":2024,"lang":"en","type":"article","venue":"Contributions to Discrete Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Combinatorics; Blocking (statistics); Regular polygon; Geometry; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000933112,0.0002273813,0.0004365513,0.0002452987,0.0002219155,0.0001605754,0.0003305134,0.00008596484,0.000493524],"category_scores_gemma":[0.006088263,0.0001451976,0.0002140474,0.0005601625,0.000139303,0.0001274267,0.0001309787,0.0002246651,0.0002097723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001028848,"about_ca_system_score_gemma":0.0001001449,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006967509,"about_ca_topic_score_gemma":0.000007008655,"domain_scores_codex":[0.9982877,0.00005116906,0.0006259575,0.0002142122,0.0004505864,0.0003703515],"domain_scores_gemma":[0.9951473,0.003913786,0.0001366909,0.0004613338,0.0002567091,0.00008417042],"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":[0.00000726052,0.00006110142,0.000001486386,0.0004835427,0.0001163807,0.000005026613,0.003252406,0.000009363294,0.00007306694,0.968995,0.02684892,0.000146464],"study_design_scores_gemma":[0.0001434614,0.00008554952,0.000003265372,0.0006879061,0.000126263,0.000009880718,0.002046389,0.001205088,0.003381959,0.9811309,0.01097171,0.000207655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4859067,0.00283318,0.3250463,0.03816062,0.004043161,0.004439849,0.00578067,0.001277077,0.1325125],"genre_scores_gemma":[0.9923784,0.00004323679,0.00249326,0.0002552979,0.0009615538,0.0001027109,0.00001489094,0.00004579869,0.003704868],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.5064717,"threshold_uncertainty_score":0.7288659,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03721193003695116,"score_gpt":0.3424131239176501,"score_spread":0.3052011938806989,"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."}}