{"id":"W2002842678","doi":"10.4153/cmb-2009-038-6","title":"On Projection Bodies of Order One","year":2009,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Convex body; Hyperplane; Projection (relational algebra); Regular polygon; Dimension (graph theory); Order (exchange); Support function; Function (biology); Combinatorics; Constant (computer programming); Orthographic projection; Convex set; Pure mathematics; Mathematical analysis; Geometry; Convex hull; Convex optimization; Algorithm","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":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0003931946,0.0001464938,0.0003293863,0.0003274667,0.00007673068,0.00002650632,0.0001448181,0.0001012913,0.006922991],"category_scores_gemma":[0.003696557,0.0001266881,0.00006659326,0.0002892888,0.00005493271,0.00002422925,0.000009196115,0.0001379488,0.001089228],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008235978,"about_ca_system_score_gemma":0.0001350623,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003545056,"about_ca_topic_score_gemma":0.0003062969,"domain_scores_codex":[0.9988048,0.00003288429,0.0003871478,0.0001676171,0.0002647668,0.0003427634],"domain_scores_gemma":[0.998758,0.0005048529,0.0001006677,0.0002592653,0.000178817,0.0001984184],"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":[0.00001305138,0.0001604059,0.000002310082,0.0003051379,0.00001878773,0.00000534692,0.000473558,0.000001099674,0.00001832688,0.9748555,0.02231505,0.001831381],"study_design_scores_gemma":[0.0002124561,0.0002813494,0.00004215704,0.0002181035,0.00002637769,0.000009002092,0.0002451848,0.0000529935,0.0006588502,0.9889531,0.009125787,0.0001746841],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2935318,0.0001936242,0.01618255,0.0247093,0.0001603104,0.001129912,0.000076462,0.0002287815,0.6637872],"genre_scores_gemma":[0.9766527,0.000009855124,0.01221101,0.00114734,0.00008097741,0.00001892013,0.000004736392,0.00002220227,0.009852278],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6831208,"threshold_uncertainty_score":0.9996886,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04996340144916253,"score_gpt":0.2904048782083614,"score_spread":0.2404414767591988,"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."}}