{"id":"W3038158161","doi":"10.3390/math8071089","title":"On the Generalized Riesz Derivative","year":2020,"lang":"en","type":"article","venue":"Mathematics","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Normalization (sociology); Unit sphere; Riesz transform; Derivative (finance); Banach space; Riesz potential; Distribution (mathematics); Directional derivative; Pure mathematics; Space (punctuation); Mathematical analysis; Combinatorics","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":[0.001428603,0.0006631978,0.0006884614,0.001864299,0.0006400561,0.0013837,0.0006464139,0.0007585753,0.002376357],"category_scores_gemma":[0.002496583,0.0001951714,0.0007101639,0.0009387831,0.002152828,0.002665552,0.001392385,0.001743198,0.000484331],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009151554,"about_ca_system_score_gemma":0.0006912305,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001024417,"about_ca_topic_score_gemma":0.0006292513,"domain_scores_codex":[0.9995839,0.0001263748,0.00001957649,0.00007062381,0.0001410734,0.00005852079],"domain_scores_gemma":[0.9994814,0.0001616725,0.00006360011,0.00006718306,0.000137067,0.00008920686],"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":[0.00001021412,0.000008824324,0.00008747487,0.0000268687,0.000004104983,0.00005498161,0.00006657771,0.00384338,0.00145972,0.9886232,0.0004613087,0.005353285],"study_design_scores_gemma":[0.00000734142,0.00004063339,0.0004028358,0.00002791352,0.000007375195,0.0001963399,0.00007731745,0.1180871,0.001330961,0.8732954,0.006499562,0.00002718268],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1392827,0.002647582,0.8087011,0.001501535,0.0003432336,0.000036132,0.000175525,0.0002337284,0.04707835],"genre_scores_gemma":[0.8395911,0.003136619,0.1297846,0.0005860957,0.0005269109,0.00006542964,0.0002496145,0.0002255654,0.02583403],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.002376357,"threshold_uncertainty_score":0.00794965,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1955509647021069,"score_gpt":0.3349267196080078,"score_spread":0.1393757549059009,"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."}}