{"id":"W2119867895","doi":"10.1007/s11856-014-0017-3","title":"On approximation by projections of polytopes with few facets","year":2014,"lang":"en","type":"article","venue":"Israel Journal of Mathematics","topic":"Point processes and geometric inequalities","field":"Mathematics","cited_by":9,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Simplex; Convex body; Combinatorics; Polytope; Dimension (graph theory); Regular polygon; Section (typography); Projection (relational algebra); Logarithm; Banach space; Geometry; Discrete mathematics; Mathematical analysis; Convex hull","routes":{"ca_aff":true,"ca_fund":false,"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":[0.002857739,0.002200979,0.003713653,0.002406627,0.001422782,0.004589708,0.00319461,0.001926339,0.005895477],"category_scores_gemma":[0.01662397,0.001666579,0.003135517,0.002695315,0.003910778,0.006038838,0.007182718,0.005693593,0.0006339541],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002846931,"about_ca_system_score_gemma":0.00156495,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.007538206,"about_ca_topic_score_gemma":0.003520647,"domain_scores_codex":[0.9976189,0.0008870572,0.0001124972,0.0004179721,0.000600604,0.0003630604],"domain_scores_gemma":[0.9870285,0.009923657,0.000829255,0.0005909289,0.0006583594,0.0009692912],"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":[0.0004197139,0.000171699,0.002380281,0.0003033046,0.0001201557,0.000155222,0.0006001718,0.1753483,0.002550725,0.7890533,0.002331667,0.02656551],"study_design_scores_gemma":[0.00003741972,0.0001221109,0.0004704305,0.00007655196,0.00003356295,0.00008076774,0.0001603587,0.5996028,0.0005810948,0.3975238,0.001280235,0.00003097011],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1734188,0.001656188,0.8097126,0.0009133744,0.0001615692,0.0001296901,0.0004415255,0.0002479547,0.01331828],"genre_scores_gemma":[0.7727017,0.004015691,0.204951,0.0004105946,0.000354239,0.000416979,0.001411669,0.0003265809,0.01541154],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007538206,"threshold_uncertainty_score":0.02065599,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03318223833756741,"score_gpt":0.2956703780363282,"score_spread":0.2624881396987608,"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."}}