{"id":"W2148309129","doi":"10.1016/j.cam.2012.06.038","title":"Asymptotic approximations to the Hardy–Littlewood function","year":2012,"lang":"en","type":"article","venue":"Journal of Computational and Applied Mathematics","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"York University","funders":"","keywords":"Mathematics; Approximations of π; Function (biology); Mathematical analysis; Applied mathematics; Calculus (dental)","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":[0.004086919,0.00116877,0.0009857983,0.0022435,0.0008462584,0.00255528,0.001866825,0.001729696,0.007092203],"category_scores_gemma":[0.02364627,0.0005375517,0.0008716015,0.001141486,0.003200627,0.004524515,0.00314801,0.00449588,0.001406259],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002025537,"about_ca_system_score_gemma":0.001075373,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001754189,"about_ca_topic_score_gemma":0.00121586,"domain_scores_codex":[0.9987345,0.0006017259,0.00004928328,0.0001090759,0.0003753451,0.000130013],"domain_scores_gemma":[0.9922727,0.004336564,0.0004975798,0.0007642789,0.00142029,0.0007085081],"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":[0.00005490958,0.00002608313,0.0003753411,0.00005737996,0.0000149751,0.00007035377,0.0001603273,0.0114447,0.0009968836,0.9769593,0.001654804,0.008184972],"study_design_scores_gemma":[0.00001756811,0.00003357528,0.0004519175,0.00004419951,0.00001427913,0.0001708585,0.00009890184,0.2391,0.000665505,0.7551013,0.004277792,0.00002423985],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.08900175,0.003393375,0.8516469,0.002733183,0.0009079182,0.00002828233,0.00009367882,0.0003066877,0.05188815],"genre_scores_gemma":[0.8275217,0.003337366,0.1055494,0.0008219063,0.001684311,0.0001227585,0.0003266534,0.0005644746,0.06007145],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.007092203,"threshold_uncertainty_score":0.02372581,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03983894761896072,"score_gpt":0.2856037406876984,"score_spread":0.2457647930687377,"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."}}