{"id":"W4309080877","doi":"10.1007/s00025-022-01779-1","title":"On the Structure of Arithmetic Sums of Cantor Sets Associated with Series","year":2022,"lang":"en","type":"article","venue":"Results in Mathematics","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Cantor set; Cantor function; Series (stratigraphy); Homogeneous; Set (abstract data type); Cantor's diagonal argument; Discrete mathematics; Pure mathematics; Combinatorics; Arithmetic","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001104726,0.0002110518,0.000605551,0.0001240622,0.00009633356,0.00001413255,0.0004312941,0.00007378968,0.0002045633],"category_scores_gemma":[0.003849633,0.0001284216,0.00008388692,0.0005135353,0.0001629099,0.00003815624,0.0001490362,0.0003743269,8.582118e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008780204,"about_ca_system_score_gemma":0.00007111244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000147778,"about_ca_topic_score_gemma":0.000122422,"domain_scores_codex":[0.997662,0.0001754236,0.0009200146,0.0001897665,0.0008011958,0.0002516067],"domain_scores_gemma":[0.9945158,0.003857005,0.0008296766,0.0006485,0.0001100876,0.00003886715],"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":[0.0001625994,0.0008358365,0.00005457814,0.0006773632,0.0001448836,0.00001530422,0.00598539,0.0005216243,0.001109278,0.9897473,0.0006828537,0.00006299325],"study_design_scores_gemma":[0.0008574387,0.0004398395,0.0001381583,0.0004739734,0.00006591311,0.0000185969,0.00212596,0.01432065,0.002281036,0.9790526,0.00002416879,0.0002016603],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9927891,0.00001224024,0.0003084921,0.0003465628,0.00005070429,0.0006407617,0.0009840918,0.00002676634,0.004841206],"genre_scores_gemma":[0.9910781,0.000003745957,0.00829698,0.00002413255,0.000005680031,0.00001761269,0.00002017315,0.00003922998,0.0005143887],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01379903,"threshold_uncertainty_score":0.5236881,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02359234306808984,"score_gpt":0.2696865472548154,"score_spread":0.2460942041867255,"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."}}