{"id":"W1979575131","doi":"10.4153/cmb-2012-040-4","title":"Dimension Functions of Self-Affine Scaling Sets","year":2012,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Color Science and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Mathematics; Dimension (graph theory); Expansive; Scaling; Dilation (metric space); Affine transformation; Bounded function; Combinatorics; Function (biology); Pure mathematics; Mathematical analysis; Geometry","routes":{"ca_aff":true,"ca_fund":false,"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":[0.0005218407,0.0003866739,0.0004505609,0.001463833,0.0008061117,0.001335823,0.000530532,0.0004001456,0.002653304],"category_scores_gemma":[0.00177471,0.0002553307,0.0004455481,0.0004835339,0.001847718,0.001442985,0.001089478,0.0005625785,0.0002645038],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00120631,"about_ca_system_score_gemma":0.0002222421,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00048963,"about_ca_topic_score_gemma":0.0003210852,"domain_scores_codex":[0.9996967,0.00006219523,0.00001531973,0.00006575487,0.00009533132,0.0000646093],"domain_scores_gemma":[0.9989743,0.0003229206,0.0001910016,0.0001161083,0.0001807026,0.000215038],"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":[0.0001539327,0.00003512337,0.004654209,0.0001011147,0.00003803838,0.0003407462,0.0003079207,0.02973948,0.03090655,0.9219863,0.001006979,0.0107296],"study_design_scores_gemma":[0.00004258825,0.0002070981,0.01358791,0.00008350653,0.00004544278,0.001355575,0.0004731762,0.3878787,0.02933997,0.5591697,0.007702049,0.0001143152],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9100977,0.0003927224,0.07369128,0.0001730465,0.00007018752,0.00001347224,0.00007926634,0.0001006102,0.01538182],"genre_scores_gemma":[0.9919664,0.0001043577,0.005127573,0.00002571661,0.00004684215,0.00001600212,0.00004876604,0.00002623212,0.002638159],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002653304,"threshold_uncertainty_score":0.008876204,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01022674350518878,"score_gpt":0.2307088427911312,"score_spread":0.2204820992859425,"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."}}