{"id":"W4300960744","doi":"10.1017/s0004972722001009","title":"ERDŐS–LIOUVILLE SETS","year":2022,"lang":"en","type":"article","venue":"Bulletin of the Australian Mathematical Society","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"Division of Mathematical Sciences; Fields Institute for Research in Mathematical Sciences","keywords":"Mathematics; Combinatorics; Cardinality (data modeling); Subspace topology; Real number; Transcendental number; Discrete mathematics; Mathematical analysis; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001378593,0.0005485396,0.000910711,0.002309994,0.002418778,0.003414083,0.0008759158,0.001212698,0.007988569],"category_scores_gemma":[0.004181582,0.0003931565,0.0009658837,0.001378177,0.003204638,0.0034246,0.002950213,0.003255079,0.001432311],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.003515183,"about_ca_system_score_gemma":0.0008490446,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001788408,"about_ca_topic_score_gemma":0.001034576,"domain_scores_codex":[0.9979196,0.0004647579,0.0001053103,0.000542256,0.0007126828,0.0002553697],"domain_scores_gemma":[0.9976432,0.0008810308,0.0002611351,0.0002835047,0.0006452232,0.000285954],"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":[0.00001772321,0.00001166624,0.0001582435,0.00002213733,0.000007591964,0.00006264333,0.0001938599,0.0007843301,0.000652353,0.993928,0.001106477,0.003055005],"study_design_scores_gemma":[0.00001815453,0.00002291851,0.0003649761,0.00003601841,0.00000801297,0.0001728463,0.0001756401,0.007868413,0.001129884,0.9629143,0.0272683,0.00002043093],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2768944,0.003619476,0.2273702,0.004974533,0.0006690005,0.0001383172,0.0009529375,0.0003721521,0.485009],"genre_scores_gemma":[0.9022745,0.001842591,0.03428146,0.000924143,0.0006316464,0.0002709604,0.0008314285,0.00007706699,0.05886613],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.007988569,"threshold_uncertainty_score":0.02672446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03992858725458415,"score_gpt":0.2945996071183587,"score_spread":0.2546710198637746,"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."}}