{"id":"W1972140029","doi":"10.1090/s0025-5718-07-01941-2","title":"Computation of capacity","year":2007,"lang":"en","type":"article","venue":"Mathematics of Computation","topic":"Mathematics and Applications","field":"Mathematics","cited_by":26,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université Laval","funders":"Natural Sciences and Engineering Research Council of Canada; Canada Research Chairs","keywords":"Mathematics; Logarithm; Cantor set; Set (abstract data type); Computation; Upper and lower bounds; Property (philosophy); Plane (geometry); Compact space; Value (mathematics); Discrete mathematics; Applied mathematics; Combinatorics; Mathematical analysis; Algorithm; Geometry; Statistics; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001182389,0.000141037,0.000392767,0.0001813612,0.00004930578,0.00001010073,0.0001531661,0.00007800806,0.00001659363],"category_scores_gemma":[0.0002972041,0.0001347437,0.0001101262,0.0003233426,0.0000978816,0.00006890133,0.00003894498,0.00007952595,0.000007914695],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002579215,"about_ca_system_score_gemma":0.00002333565,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007968766,"about_ca_topic_score_gemma":0.000007121838,"domain_scores_codex":[0.9982169,0.00002230446,0.001042181,0.0001349109,0.0004216677,0.0001620589],"domain_scores_gemma":[0.9974067,0.0009987522,0.0009133056,0.0002282602,0.0003990484,0.00005398809],"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":[0.00001809348,0.001978193,0.0001757769,0.004177587,0.0001264243,0.000001068554,0.008382293,0.001184362,0.02349972,0.9496639,0.002702188,0.008090405],"study_design_scores_gemma":[0.0003906287,0.00006953468,0.0003811691,0.0002198227,0.00006685409,0.000008571542,0.0005361622,0.04887456,0.03496458,0.91429,0.00003780013,0.0001603779],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4164696,0.000007606142,0.5785974,0.0000236381,0.00003028541,0.000247734,0.000005648683,0.00003725303,0.004580931],"genre_scores_gemma":[0.6055507,9.807003e-7,0.3943821,0.000004084804,0.00001542833,0.000004078315,0.00000489472,0.00001498658,0.00002272974],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.1890811,"threshold_uncertainty_score":0.5494688,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08763943873449292,"score_gpt":0.3579564534880265,"score_spread":0.2703170147535335,"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."}}