{"id":"W1485553355","doi":"10.1215/s0012-7094-07-13711-6","title":"Cm-norms on finite sets and Cm extension criteria","year":2007,"lang":"en","type":"article","venue":"Duke Mathematical Journal","topic":"Advanced Harmonic Analysis Research","field":"Mathematics","cited_by":20,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Extension (predicate logic); Cardinality (data modeling); Combinatorics; Space (punctuation); Function (biology); Degree (music); Finite set; Set (abstract data type); Pure mathematics; Discrete mathematics; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"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":[0.003821937,0.000618709,0.0005839691,0.002433384,0.001302653,0.001737789,0.00108503,0.0008873372,0.002557224],"category_scores_gemma":[0.01063239,0.0002661602,0.0006426108,0.0009150513,0.004629505,0.005807777,0.003457535,0.002204603,0.0003017014],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001212032,"about_ca_system_score_gemma":0.0003235839,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000353818,"about_ca_topic_score_gemma":0.000209547,"domain_scores_codex":[0.9979024,0.0007161364,0.0001217754,0.0003923086,0.0006340044,0.0002332494],"domain_scores_gemma":[0.9907826,0.004282294,0.0007571816,0.0005205944,0.001969833,0.001687568],"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":[0.000056547,0.00001696683,0.001565517,0.00004076277,0.00000839631,0.0001436156,0.0002949403,0.001659556,0.001802559,0.9898165,0.0003598141,0.004234733],"study_design_scores_gemma":[0.00002804629,0.0001920456,0.003772343,0.00006077285,0.00001238083,0.0008480501,0.0004717381,0.02433364,0.003560769,0.9597272,0.006946099,0.0000468631],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7176026,0.001571239,0.2196456,0.001732487,0.0001960306,0.00005472586,0.0002437175,0.0001255018,0.05882813],"genre_scores_gemma":[0.9625748,0.0004583524,0.02863182,0.0002401974,0.0003853649,0.00009723732,0.0002663399,0.00004934322,0.007296531],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003821937,"threshold_uncertainty_score":0.02021259,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0928516531902392,"score_gpt":0.421299651020143,"score_spread":0.3284479978299038,"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."}}