{"id":"W1988136301","doi":"10.4153/cjm-2013-039-4","title":"On the Local Convexity of Intersection Bodies of Revolution","year":2013,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; National Science Foundation","keywords":"Convexity; Intersection (aeronautics); Convex body; Mathematics; Regular polygon; Ball (mathematics); Euclidean geometry; Combinatorics; Geometry; Mathematical analysis; Pure mathematics; Convex optimization","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001323539,0.0002029548,0.0009806458,0.001858859,0.001290408,0.001879915,0.0006367159,0.0004258054,0.004871949],"category_scores_gemma":[0.005847346,0.0002715098,0.0005773126,0.0007443698,0.004039088,0.001878043,0.002738592,0.001376406,0.0005117767],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0012124,"about_ca_system_score_gemma":0.0003776032,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001658934,"about_ca_topic_score_gemma":0.0007559467,"domain_scores_codex":[0.9989839,0.0002234842,0.00003498756,0.0001866276,0.0003326737,0.0002381476],"domain_scores_gemma":[0.9972018,0.001170933,0.0005120655,0.00027428,0.0005249276,0.0003159302],"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":[0.0001060632,0.00001882578,0.005509673,0.00005132382,0.00002061547,0.0002128901,0.0005664511,0.01750296,0.003682882,0.9601914,0.001260973,0.01087587],"study_design_scores_gemma":[0.00004589569,0.0002007524,0.02448816,0.00009699646,0.00004521461,0.0008241727,0.001256564,0.2157268,0.009155555,0.734281,0.01382033,0.00005857453],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7686111,0.0006299097,0.1776327,0.0006061625,0.0000421389,0.00003723394,0.0002095161,0.000136401,0.05209487],"genre_scores_gemma":[0.9892927,0.0002341623,0.006829016,0.00004995812,0.00004535142,0.00002871963,0.0001794299,0.00004948735,0.003291172],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004871949,"threshold_uncertainty_score":0.01629823,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05631664797618272,"score_gpt":0.2648653268365717,"score_spread":0.208548678860389,"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."}}