{"id":"W2093201172","doi":"10.4153/cmb-2002-003-x","title":"Extrapolation of <i>L<sup>p</sup></i> Data from a Modular Inequality","year":2002,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Brock University","funders":"Natural Sciences and Engineering Research Council of Canada; Brock University; Canadian Mathematical Society","keywords":"Mathematics; Extrapolation; Converse; Modular design; Pure mathematics; Inequality; Interpolation (computer graphics); Lp space; Invariant (physics); Algebra over a field; Mathematical analysis; Mathematical physics; Geometry; Banach space","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":[0.002611984,0.0005129378,0.0006174581,0.002153592,0.001001082,0.001696259,0.001222309,0.0008243321,0.01075621],"category_scores_gemma":[0.009893607,0.0002283455,0.0008504761,0.0007775038,0.003147874,0.0050259,0.003778209,0.003731573,0.0009895406],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001406362,"about_ca_system_score_gemma":0.0004472055,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007019182,"about_ca_topic_score_gemma":0.0003908331,"domain_scores_codex":[0.9988657,0.0002659732,0.00006921302,0.0001862075,0.0004112181,0.0002017743],"domain_scores_gemma":[0.9950658,0.001757171,0.0005952962,0.0007781438,0.001169334,0.0006342336],"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":[0.0001338121,0.00003413479,0.001678986,0.00009090362,0.00001285629,0.0004284487,0.00025981,0.003816774,0.007573388,0.9756705,0.00196833,0.008332047],"study_design_scores_gemma":[0.00001609493,0.00007021943,0.002038229,0.00006768778,0.000007098372,0.0003204242,0.0001722873,0.05067485,0.003895485,0.9383585,0.004354431,0.00002471171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4372877,0.001362383,0.3661299,0.00650423,0.0005162898,0.00007076965,0.0008254482,0.0006046217,0.1866987],"genre_scores_gemma":[0.9707468,0.0004784287,0.01804151,0.0007833599,0.0005086208,0.00007514651,0.0004684177,0.0001919752,0.008705812],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01075621,"threshold_uncertainty_score":0.03598303,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1842661875346423,"score_gpt":0.3466856551545984,"score_spread":0.1624194676199561,"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."}}