{"id":"W19982099","doi":"10.1007/s10476-009-0402-z","title":"Приближение функций многих переменных классов H p Ω полиномами по системе Хаара","year":2009,"lang":"ru","type":"article","venue":"Analysis Mathematica","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Medicine Hat College","funders":"","keywords":"Haar; Mathematics; Modulus of continuity; Term (time); Order (exchange); Nonlinear system; Mathematical analysis; Equioscillation theorem; Pure mathematics; Linear approximation; Orders of approximation; Spouge's approximation; Minimax approximation algorithm; Applied mathematics; Orthogonal polynomials; Type (biology); Classical orthogonal polynomials; Physics; Gegenbauer polynomials; Quantum mechanics","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":[0.0007187154,0.000283569,0.0002751293,0.001263035,0.00108828,0.002558014,0.0003712419,0.0008281143,0.008667443],"category_scores_gemma":[0.003074294,0.0004201042,0.0002459935,0.0008977089,0.002262823,0.001470795,0.001085756,0.001548265,0.002389997],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005218392,"about_ca_system_score_gemma":0.001088143,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001188448,"about_ca_topic_score_gemma":0.001225048,"domain_scores_codex":[0.9990051,0.0001721076,0.00004471509,0.0001510672,0.0005480367,0.0000790498],"domain_scores_gemma":[0.998968,0.0003937613,0.00009970395,0.0001650901,0.0002910492,0.00008242259],"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":[0.00008452698,0.00003929348,0.0007560459,0.0002095483,0.00002288522,0.0005427909,0.002738446,0.0009338584,0.04299334,0.8612545,0.002645292,0.0877795],"study_design_scores_gemma":[0.00006671463,0.0001915215,0.006408552,0.0001548867,0.00009452646,0.001859555,0.002421677,0.005193905,0.06352311,0.6328523,0.2870833,0.0001497573],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2536719,0.009142891,0.3119833,0.00512296,0.001788502,0.0001806794,0.0004512429,0.00065598,0.4170027],"genre_scores_gemma":[0.8361455,0.004888548,0.1149891,0.0002012582,0.0005619467,0.0002500014,0.0001019199,0.0002014416,0.04266027],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008667443,"threshold_uncertainty_score":0.02899545,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03857710977137666,"score_gpt":0.3118390822269173,"score_spread":0.2732619724555406,"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."}}