{"id":"W4206380026","doi":"10.3390/sym14010100","title":"A Quadruple Integral Involving Chebyshev Polynomials Tn(x): Derivation and Evaluation","year":2022,"lang":"en","type":"article","venue":"Symmetry","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Chebyshev polynomials; Chebyshev filter; Chebyshev nodes; Pure mathematics; Zero (linguistics); Polynomial; Riemann zeta function; 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":[0.001634779,0.001001677,0.0008153893,0.002946484,0.0008432327,0.00202314,0.001053485,0.000852161,0.005599719],"category_scores_gemma":[0.003079382,0.0002707578,0.0008092506,0.001331322,0.001763153,0.002859292,0.001918153,0.002083515,0.002168554],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001292797,"about_ca_system_score_gemma":0.0009022584,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001076761,"about_ca_topic_score_gemma":0.001103275,"domain_scores_codex":[0.999534,0.0001297808,0.00002819137,0.00004910088,0.0002091249,0.00004977822],"domain_scores_gemma":[0.9993035,0.0002261298,0.00006173804,0.00007380742,0.0002443923,0.00009048881],"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":[0.00002653596,0.00003105144,0.0003927972,0.0002067836,0.00002276964,0.000358893,0.0003008772,0.004208875,0.004332064,0.9676062,0.001610205,0.02090309],"study_design_scores_gemma":[0.00001327757,0.00006894766,0.0009454261,0.0001851239,0.00003438759,0.001011227,0.0001936418,0.0868838,0.005143277,0.8866423,0.01882349,0.00005515449],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.1016548,0.006678233,0.7625087,0.001112048,0.00134542,0.0001217966,0.0002987549,0.0004546194,0.1258255],"genre_scores_gemma":[0.7610675,0.007613098,0.172876,0.0006496051,0.0009782168,0.000155634,0.0003259297,0.000827905,0.05550609],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.005599719,"threshold_uncertainty_score":0.01873291,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07745489803904262,"score_gpt":0.3425624121445005,"score_spread":0.2651075141054579,"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."}}