{"id":"W1496438519","doi":"10.46298/dmtcs.464","title":"Centerpoint theorems for wedges","year":2009,"lang":"en","type":"article","venue":"Discrete Mathematics & Theoretical Computer Science","topic":"Computational Geometry and Mesh Generation","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Universitat Politècnica de Catalunya","keywords":"Mathematics; Combinatorics; Point (geometry); Set (abstract data type); Discrete mathematics; Geometry; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.00153948,0.0002389038,0.0002609428,0.0002351222,0.0005223404,0.0007760805,0.001979576,0.00005184027,0.00001987638],"category_scores_gemma":[0.0001886897,0.0001874464,0.0001497054,0.0009161085,0.0007032101,0.0006836163,0.0003501298,0.0001178497,0.00003531219],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004399681,"about_ca_system_score_gemma":0.0001087242,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":1.811634e-7,"about_ca_topic_score_gemma":1.039677e-7,"domain_scores_codex":[0.9975726,0.00004603148,0.0004216128,0.0006893806,0.0006997205,0.0005706323],"domain_scores_gemma":[0.998144,0.0003889266,0.0001254861,0.0007623174,0.000325182,0.0002540378],"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":[0.000005055617,0.0001028286,0.000001151648,0.00001246936,0.000004217132,0.000001704638,0.0006138338,0.000376058,0.00122092,0.9665625,0.0001364273,0.03096284],"study_design_scores_gemma":[0.0001480268,0.0002005722,0.00005419837,0.00002273173,0.000004193799,0.00001750186,0.000008214487,0.4995305,0.003108143,0.4965968,0.0001604826,0.0001485967],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.00367653,0.00003336586,0.9881951,0.002973484,0.0005510619,0.0004267144,0.000004263981,0.000209734,0.003929696],"genre_scores_gemma":[0.535729,0.000002267437,0.4634694,0.0006322303,0.0001318171,0.00001037981,0.000003368769,0.000005133893,0.0000164256],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5320525,"threshold_uncertainty_score":0.7643844,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01348598972880071,"score_gpt":0.2728398253834265,"score_spread":0.2593538356546258,"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."}}