{"id":"W2045681433","doi":"10.1016/j.jmaa.2007.09.055","title":"On determination of jumps in terms of Abel–Poisson mean of Fourier series","year":2007,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":6,"is_retracted":false,"has_abstract":false,"ca_institutions":"St. Francis Xavier University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Poisson distribution; Poisson summation formula; Order (exchange); Fourier series; Integrable system; Series (stratigraphy); Poisson kernel; Mathematical analysis; Fourier transform; Function (biology); Pure mathematics; Statistics","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001763631,0.0001207808,0.0008502778,0.0005939263,0.00003013626,0.00000813997,0.0001478413,0.00008659151,0.0001985443],"category_scores_gemma":[0.0004772778,0.00008501056,0.0003038842,0.0007687807,0.0001317758,0.00008447175,0.00002668154,0.0001221482,0.000001567637],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001869885,"about_ca_system_score_gemma":0.00001497338,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003987819,"about_ca_topic_score_gemma":0.00003225675,"domain_scores_codex":[0.9976587,0.0000462691,0.001696618,0.0001034762,0.0003766112,0.0001183668],"domain_scores_gemma":[0.9965842,0.001632321,0.001205467,0.000285003,0.0002095215,0.00008346052],"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":[0.0000842087,0.001479896,0.001199208,0.0008532106,0.0003545893,0.000001546873,0.0007319681,0.00001680241,0.005420218,0.9824046,0.00005509438,0.007398687],"study_design_scores_gemma":[0.0003712931,0.000234373,0.001824244,0.0002469761,0.001083653,0.00001667566,0.0003287874,0.0009287574,0.02156027,0.9732262,0.0000745253,0.0001042655],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5088382,0.00002947135,0.4865841,0.0001608745,0.000009938388,0.0002313501,0.00001590776,0.000003973798,0.004126234],"genre_scores_gemma":[0.9291703,0.00002777259,0.07058491,0.000007557749,0.00003079229,0.000008717435,0.000001307946,0.000009348603,0.0001592906],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4203322,"threshold_uncertainty_score":0.346663,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.022823224269115,"score_gpt":0.3204717892232929,"score_spread":0.297648564954178,"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."}}