{"id":"W2004839974","doi":"10.4153/cjm-2005-049-6","title":"Convex Polynomial Approximation in the Uniform Norm: Conclusion","year":2005,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Numerical methods in inverse problems","field":"Mathematics","cited_by":19,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Mathematics; Differentiable function; Norm (philosophy); Regular polygon; Polynomial; Convex function; Modulus of continuity; Algebraic number; Interval (graph theory); Minimax approximation algorithm; Combinatorics; Type (biology); Pure mathematics; Mathematical analysis; Geometry","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":[0.003567653,0.000845917,0.0009637425,0.001177477,0.0005884677,0.001591722,0.00124559,0.0009166843,0.003786447],"category_scores_gemma":[0.02004928,0.0002983325,0.001079044,0.0008889253,0.002484645,0.004572492,0.00408041,0.003135663,0.0004794183],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001429718,"about_ca_system_score_gemma":0.0005519644,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002864913,"about_ca_topic_score_gemma":0.001307417,"domain_scores_codex":[0.998461,0.0004517851,0.00007101639,0.0004801095,0.0003850384,0.0001510574],"domain_scores_gemma":[0.9915999,0.003864202,0.0006730683,0.0008812576,0.00211719,0.0008643453],"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":[0.0003562845,0.00005537846,0.002625678,0.0002487701,0.00005900602,0.0002519172,0.0003312619,0.041348,0.005759632,0.9187788,0.003428847,0.0267565],"study_design_scores_gemma":[0.00002252141,0.0001313137,0.001652455,0.00007104247,0.00003656744,0.0002423075,0.0002289238,0.4733183,0.004622826,0.5132247,0.006403623,0.00004555728],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09174772,0.001736043,0.879447,0.003103615,0.0003480609,0.00004828102,0.0001911446,0.0002397431,0.02313847],"genre_scores_gemma":[0.8676082,0.002062744,0.1143108,0.0007653873,0.000645495,0.00007660434,0.0003225495,0.0002049192,0.01400333],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003786447,"threshold_uncertainty_score":0.01886779,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07012849560954887,"score_gpt":0.324041438145349,"score_spread":0.2539129425358002,"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."}}