{"id":"W3003210651","doi":"10.5802/smai-jcm.54","title":"Uniform and pointwise shape preserving approximation (SPA) by algebraic polynomials: an update","year":2020,"lang":"en","type":"article","venue":"SMAI Journal of Computational Mathematics","topic":"Statistical and numerical algorithms","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Manitoba","funders":"","keywords":"Pointwise; Degree (music); Mathematics; Algebraic number; Applied mathematics; Mathematical analysis; Physics","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":[0.00316916,0.001191866,0.001334877,0.002136789,0.0008127546,0.003091004,0.002105226,0.001443496,0.007010953],"category_scores_gemma":[0.01721844,0.0007973383,0.001638901,0.002521902,0.002039966,0.008054155,0.003599431,0.005112691,0.002028788],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002388354,"about_ca_system_score_gemma":0.001272292,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.004617061,"about_ca_topic_score_gemma":0.004285547,"domain_scores_codex":[0.9983715,0.000384718,0.0001203222,0.0004840406,0.0005154929,0.0001239954],"domain_scores_gemma":[0.9948725,0.002858757,0.0002045723,0.0008091885,0.001055765,0.0001992142],"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":[0.000234956,0.0001193936,0.002147876,0.0007136336,0.0001230781,0.0001754544,0.0002251621,0.03378459,0.00264609,0.6073371,0.03371888,0.3187738],"study_design_scores_gemma":[0.00004432195,0.0002356595,0.001440325,0.0002294187,0.0001652255,0.000496009,0.0001150169,0.5448123,0.00298906,0.3799222,0.06945652,0.00009385668],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.01715556,0.02085616,0.9261637,0.006247444,0.002894983,0.00005623672,0.0006430391,0.0005151927,0.02546776],"genre_scores_gemma":[0.3833705,0.04123593,0.5194297,0.003411116,0.01126831,0.0002747002,0.001759588,0.0006943026,0.0385558],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.007010953,"threshold_uncertainty_score":0.02345401,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04463491764061851,"score_gpt":0.3018609026791942,"score_spread":0.2572259850385757,"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."}}