{"id":"W4399760272","doi":"10.28924/2291-8639-22-2024-100","title":"An Algorithm for Construction of Optimal Integration Formulas in Hilbert Spaces and Its Realization","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Realization (probability); Mathematics; Hilbert space; Algebra over a field; Algorithm; Pure mathematics; Calculus (dental); Statistics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009801643,0.0004260401,0.0007787124,0.001149592,0.0006876286,0.001240836,0.001022586,0.0006884119,0.003557945],"category_scores_gemma":[0.002214463,0.000421555,0.0007323145,0.001011216,0.0009071999,0.001373472,0.001744487,0.001525672,0.0008494714],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005743798,"about_ca_system_score_gemma":0.001024395,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008157806,"about_ca_topic_score_gemma":0.0007055505,"domain_scores_codex":[0.9993231,0.0001368108,0.00007678226,0.0001075174,0.0002795583,0.0000761612],"domain_scores_gemma":[0.9995891,0.0001401613,0.00002409299,0.00005919743,0.0001650592,0.00002242969],"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":[0.00008427358,0.00008276473,0.0006897861,0.0002104846,0.00003954629,0.0001758568,0.0003502722,0.02821484,0.01689625,0.6496019,0.003755361,0.2998986],"study_design_scores_gemma":[0.0001112595,0.0001298886,0.0003150871,0.0000634848,0.0000389974,0.0003500967,0.00009980583,0.5377369,0.01566238,0.4236454,0.02179044,0.00005628301],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.002897446,0.00007163292,0.9957348,0.00005708248,0.00002456637,0.00002550103,0.00001920104,0.0001230226,0.001046725],"genre_scores_gemma":[0.06080732,0.000189361,0.937078,0.00005532779,0.00003856156,0.0001368336,0.0001096488,0.0001223025,0.001462581],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003557945,"threshold_uncertainty_score":0.01190251,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02251086043698306,"score_gpt":0.3468787383252819,"score_spread":0.3243678778882989,"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."}}