{"id":"W2769361629","doi":"10.5539/jmr.v10n1p6","title":"Remarks on Convolutions and Fractional Derivative of Distributions","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brandon University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Lambda; Omega; Convolution (computer science); Taylor series; Fractional calculus; Derivative (finance); Combinatorics; Mathematical analysis; Physics; Quantum mechanics","routes":{"ca_aff":true,"ca_fund":true,"ca_venue":true,"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":[0.001913074,0.0004893895,0.0005230084,0.001077902,0.001336604,0.001435153,0.001086922,0.001257731,0.005627772],"category_scores_gemma":[0.005659181,0.0002103483,0.0009464244,0.0007308714,0.004053543,0.004529348,0.001719207,0.002453589,0.000635557],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00174746,"about_ca_system_score_gemma":0.0005734952,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003715317,"about_ca_topic_score_gemma":0.002229633,"domain_scores_codex":[0.9992643,0.000143511,0.00003787982,0.0001423579,0.0002930185,0.0001189443],"domain_scores_gemma":[0.9986365,0.0008004152,0.00009688146,0.0001535771,0.0002160967,0.00009647671],"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":[0.000005784423,0.000002734566,0.00006124079,0.0000100536,0.000001430756,0.00005246402,0.0001085901,0.0003495016,0.0001889715,0.9959551,0.001114992,0.002149188],"study_design_scores_gemma":[0.000005037847,0.00001073482,0.0002240759,0.00002086205,0.000003105048,0.0001745985,0.00005673674,0.004077599,0.0004256662,0.9788013,0.01619013,0.00001009858],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09845172,0.008178763,0.5197921,0.03619331,0.002812327,0.00003679285,0.0003389,0.0006796245,0.3335165],"genre_scores_gemma":[0.8462453,0.004560205,0.07481667,0.007710126,0.002665186,0.00006203129,0.0001164979,0.0004141408,0.06340981],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.005627772,"threshold_uncertainty_score":0.01882678,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1815158033436687,"score_gpt":0.4742168573832075,"score_spread":0.2927010540395388,"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."}}