{"id":"W192551874","doi":"10.5556/j.tkjm.35.2004.209","title":"The modulus of operators on group algebras","year":2004,"lang":"en","type":"article","venue":"Tamkang Journal of Mathematics","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"University of Alberta","keywords":"Mathematics; Modulus; Group (periodic table); Dual (grammatical number); Pure mathematics; Modulus of continuity; Algebra over a field; Type (biology); Geometry; Chemistry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001748626,0.0001484956,0.0003528162,0.00009166118,0.0001550619,0.00004085518,0.0004378069,0.00007081646,0.00003392817],"category_scores_gemma":[0.001106421,0.00008465925,0.0001711137,0.0001696715,0.0001701736,0.0001585869,0.00003161135,0.0002489355,0.00001671813],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006047287,"about_ca_system_score_gemma":0.00007187467,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001102853,"about_ca_topic_score_gemma":0.000002714714,"domain_scores_codex":[0.998349,0.00007874152,0.0008071449,0.00007116562,0.0005161062,0.0001778904],"domain_scores_gemma":[0.9977576,0.0006885063,0.0009514539,0.0003138996,0.0002139406,0.00007457023],"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":[0.0000326086,0.0003070233,0.000006563722,0.0001148614,0.00007979914,0.00001138794,0.003103371,0.0001970985,0.001685466,0.9934961,0.00038271,0.0005830313],"study_design_scores_gemma":[0.0005728797,0.0003413541,0.000007558293,0.0003827167,0.00005837351,0.0001180229,0.004225028,0.0001182909,0.02822565,0.9656816,0.0001665573,0.000101989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9586286,0.0001931694,0.03753239,0.000768216,0.0002645118,0.0001944334,0.000003261712,0.00002214536,0.002393252],"genre_scores_gemma":[0.9361122,0.0000834196,0.06338745,0.00006176977,0.0001080354,0.000003082665,2.857846e-7,0.00002764397,0.0002161478],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0278145,"threshold_uncertainty_score":0.3452304,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03176882244677288,"score_gpt":0.2947169726923073,"score_spread":0.2629481502455345,"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."}}