{"id":"W2010612323","doi":"10.1006/jath.2002.3728","title":"A Chebyshev Set and its Distance Function","year":2002,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Mathematics; Subderivative; Banach space; Differentiable function; Convex function; Norm (philosophy); Regular polygon; Convex set; Uniformly convex space; Mathematical analysis; Combinatorics; Pure mathematics; Lp space; Geometry; Banach manifold; Convex optimization; Law","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":[0.00178922,0.0007575665,0.001232234,0.002330987,0.001893795,0.002960214,0.001914493,0.002539887,0.004660088],"category_scores_gemma":[0.007964873,0.000542798,0.0009665834,0.002174621,0.003158703,0.004167724,0.00357225,0.004760761,0.0009188066],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002102464,"about_ca_system_score_gemma":0.001164516,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002133779,"about_ca_topic_score_gemma":0.0009660835,"domain_scores_codex":[0.9988,0.0003953986,0.0000501327,0.0002223699,0.000443234,0.00008876371],"domain_scores_gemma":[0.9964272,0.00205376,0.0002289016,0.0003340149,0.0006198676,0.0003362507],"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":[0.00004522663,0.00002308809,0.0001628571,0.00003049332,0.00001290366,0.00002264093,0.0000716133,0.008044125,0.0009189693,0.9784012,0.00108581,0.01118119],"study_design_scores_gemma":[0.00001249164,0.00004699573,0.0002577749,0.00002118308,0.00001142087,0.0001435968,0.00005262725,0.1207603,0.0007174028,0.872547,0.00540426,0.00002491995],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.110468,0.002175282,0.8508651,0.002304719,0.0003919282,0.0000417534,0.000310555,0.0001315445,0.03331108],"genre_scores_gemma":[0.679154,0.002610585,0.2773164,0.0006096768,0.0006064193,0.0001597677,0.0005582522,0.0002687866,0.03871602],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.004660088,"threshold_uncertainty_score":0.01558959,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0165906134752839,"score_gpt":0.214870050644223,"score_spread":0.1982794371689391,"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."}}