{"id":"W4413186473","doi":"10.55016/ojs/cdm.v4i2.62022","title":"Fractional illumination of convex bodies","year":2009,"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":"Division of Mathematical Sciences; University of Alberta","keywords":"Mathematics; Regular polygon; Combinatorics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"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":[0.0004977984,0.0006961614,0.0007915546,0.0006773463,0.0007208834,0.00139438,0.001007662,0.0008203107,0.005169317],"category_scores_gemma":[0.00228922,0.0003482551,0.0009362627,0.0006553081,0.001380175,0.002005877,0.00208778,0.001430913,0.0004938763],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001006783,"about_ca_system_score_gemma":0.000330593,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0010686,"about_ca_topic_score_gemma":0.0006150142,"domain_scores_codex":[0.9992785,0.0001324413,0.00002416193,0.0001614193,0.0002326922,0.0001708836],"domain_scores_gemma":[0.9991056,0.0003529286,0.0001356295,0.0001979725,0.0001170639,0.00009075261],"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":[0.0003709847,0.00008821201,0.00173282,0.0002133664,0.00004850355,0.0004081064,0.0003106672,0.2708219,0.03709966,0.5890216,0.003227496,0.09665678],"study_design_scores_gemma":[0.0000370771,0.0001329992,0.0009822315,0.00003437165,0.00001995202,0.0002718442,0.0001441998,0.6927286,0.01150881,0.2823581,0.01174865,0.00003309937],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09353662,0.0007022392,0.880839,0.0003904729,0.0001348377,0.00004373329,0.0001516104,0.0001594655,0.02404194],"genre_scores_gemma":[0.85198,0.0009140275,0.1313968,0.0002441895,0.0002021222,0.0001142304,0.0002577634,0.0001363412,0.01475455],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005169317,"threshold_uncertainty_score":0.01729304,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0321626858222324,"score_gpt":0.3524299917607267,"score_spread":0.3202673059384943,"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."}}