{"id":"W2499740606","doi":"10.1017/cbo9780511810183.016","title":"Proofs of the Fourier convergence theorems","year":2010,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Trent University","funders":"","keywords":"Mathematical proof; Convergence (economics); Fourier transform; Content (measure theory); Fourier series; Computer science; Calculus (dental); Mathematics; Mathematical analysis; Geometry; Economics; Medicine","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001128538,0.0002520877,0.0002872028,0.00006379562,0.0001053747,0.00002032276,0.002042308,0.0002541929,0.0000018058],"category_scores_gemma":[0.00003613442,0.0002146885,0.000188535,0.00001291703,0.0003171118,0.0001149089,0.001100613,0.0006262801,0.000004227993],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005210807,"about_ca_system_score_gemma":0.00008285484,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000470133,"about_ca_topic_score_gemma":2.891145e-7,"domain_scores_codex":[0.9988765,0.00001468261,0.0001907506,0.000369125,0.0003410952,0.0002078709],"domain_scores_gemma":[0.9980292,0.0001074801,0.0002271883,0.001382593,0.0001642917,0.0000892562],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.000003314355,0.000004084711,2.419398e-7,0.00007424002,0.00002602366,0.00001198758,0.00004561824,0.0001405041,0.0003995552,0.9986007,0.0001808055,0.0005128938],"study_design_scores_gemma":[0.000707783,0.00007279404,0.00001011363,0.0009871199,0.0002039482,0.00005790194,0.00001007627,0.09246799,0.02493935,0.01524414,0.8639086,0.001390214],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00003200381,0.00002168036,0.4528587,0.00001105303,0.0003571599,0.0002141747,0.0000132767,0.00008602411,0.5464059],"genre_scores_gemma":[0.004538345,0.00001110819,0.03381988,0.00002676488,0.00005294817,8.371317e-7,8.589963e-7,0.00003247559,0.9615168],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.9833566,"threshold_uncertainty_score":0.8754743,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01568523873011725,"score_gpt":0.1875210028614165,"score_spread":0.1718357641312993,"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."}}