{"id":"W2582795332","doi":"10.1007/978-1-4939-7543-3_5","title":"Approximation in the Closed Unit Ball","year":2018,"lang":"en","type":"book-chapter","venue":"Fields Institute communications","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Closure (psychology); Unit sphere; Operator (biology); Regular polygon; Norm (philosophy); Numerical range; Simple (philosophy); Pure mathematics; Convex hull; Ball (mathematics); Hull; 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":[0.0005543008,0.0008628531,0.0008462229,0.001071188,0.0007275378,0.003309829,0.0006727717,0.0009297282,0.009926178],"category_scores_gemma":[0.002175624,0.0003073713,0.0004624263,0.001460197,0.001829209,0.003320795,0.001257987,0.002827344,0.004150853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001783798,"about_ca_system_score_gemma":0.000735109,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001891873,"about_ca_topic_score_gemma":0.0009916509,"domain_scores_codex":[0.9994451,0.0001586388,0.00002526498,0.00009062523,0.0002403464,0.00003995975],"domain_scores_gemma":[0.9995345,0.0002255318,0.00002581046,0.00006371643,0.0001094225,0.00004101016],"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":[0.00001004254,0.000004492862,0.00001694184,0.00005264878,0.000002821293,0.000008556288,0.0000562271,0.0008715665,0.0001746414,0.9702008,0.01225594,0.01634528],"study_design_scores_gemma":[0.000004652439,0.00001112789,0.00007768277,0.0000679713,0.000004297636,0.00005228796,0.00004879894,0.005800127,0.0003153683,0.8812969,0.1123126,0.00000811105],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.009513108,0.04956179,0.2623954,0.005407433,0.004006744,0.00003714249,0.0004538253,0.0005306039,0.668094],"genre_scores_gemma":[0.295906,0.04928533,0.08861542,0.001966678,0.005167577,0.0001812533,0.0009928524,0.0009550134,0.55693],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.009926178,"threshold_uncertainty_score":0.03320634,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.2118536783844576,"score_gpt":0.3655199704783554,"score_spread":0.1536662920938978,"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."}}