{"id":"W2962711068","doi":"10.1090/tran/7924","title":"Chebyshev-type cubature formulas for doubling weighted spheres, balls, and simplexes","year":2019,"lang":"lv","type":"article","venue":"Transactions of the American Mathematical Society","topic":"Mathematical Approximation and Integration","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada; City University of Hong Kong","keywords":"Mathematics; Simplex; Type (biology); Chebyshev filter; SPHERES; Combinatorics; Chebyshev polynomials; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001062304,0.0008942565,0.0007536127,0.001359011,0.001038667,0.00324392,0.001246755,0.0008505601,0.01080744],"category_scores_gemma":[0.006170123,0.0004195607,0.001086048,0.001581358,0.001502894,0.00547656,0.002149116,0.002641409,0.002710583],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002228163,"about_ca_system_score_gemma":0.0007405399,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003658405,"about_ca_topic_score_gemma":0.00390898,"domain_scores_codex":[0.9989527,0.0002351827,0.00007825957,0.0001852237,0.0004146783,0.000133901],"domain_scores_gemma":[0.9988942,0.0004892756,0.00007662818,0.0001461784,0.0003277681,0.00006594822],"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":[0.00001910155,0.000005932743,0.0001009511,0.00003218139,0.000004825444,0.00003797348,0.00008849137,0.002052393,0.0004794572,0.9789472,0.002560695,0.01567088],"study_design_scores_gemma":[0.000008720401,0.00001448316,0.000125512,0.00002367195,0.00001045595,0.00009607845,0.00006393055,0.03564182,0.002113606,0.9494165,0.01246471,0.00002045618],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04936448,0.0009067894,0.8534808,0.0007924417,0.0004958789,0.00005263063,0.0004898713,0.0006697823,0.09374724],"genre_scores_gemma":[0.594577,0.001898271,0.336385,0.000727439,0.0004940343,0.0002098136,0.001159869,0.00139381,0.06315479],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01080744,"threshold_uncertainty_score":0.03615451,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02337838777761798,"score_gpt":0.2922092031423817,"score_spread":0.2688308153647638,"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."}}