{"id":"W2051189149","doi":"10.1088/0951-7715/22/9/004","title":"On the structure of arithmetic sums of Cantor sets with constant ratios of dissection","year":2009,"lang":"en","type":"article","venue":"Nonlinearity","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Cantor function; Cantor set; Constant (computer programming); Cantor's diagonal argument; Affine transformation; Context (archaeology); Affine arithmetic; Discrete mathematics; Set (abstract data type); Combinatorics; Pure mathematics; Computer science","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":[0.0001905597,0.00009993776,0.0003089429,0.0000333314,0.00002693782,0.000005560372,0.0001046283,0.00006773053,0.00009655377],"category_scores_gemma":[0.0004464501,0.00005469498,0.00005432104,0.000132795,0.0001138166,0.00002413755,0.00001113335,0.0001408793,2.847565e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001188563,"about_ca_system_score_gemma":0.000047653,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0000327897,"about_ca_topic_score_gemma":0.0001449298,"domain_scores_codex":[0.9991434,0.00004373577,0.0003499627,0.00009758387,0.0002721643,0.00009318976],"domain_scores_gemma":[0.9987015,0.000524584,0.0002880683,0.0002968895,0.0001598251,0.00002912681],"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":[0.0001614586,0.0006447068,0.000703349,0.0004842495,0.00007203618,0.000002481716,0.0005754924,0.00003430172,0.04025912,0.9561026,0.00007660819,0.000883568],"study_design_scores_gemma":[0.0006623365,0.0009570167,0.004082062,0.0003962252,0.0001258237,0.00001655942,0.0002329087,0.03857349,0.09142346,0.8633354,0.000009531294,0.0001851617],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9941351,0.000006725639,0.003949967,0.0001948655,0.00002242968,0.0002833283,0.0001976796,0.000008613463,0.001201254],"genre_scores_gemma":[0.9908154,0.000002283724,0.009108659,0.00002484853,0.00001111848,6.733953e-7,0.000006737368,0.000006632078,0.0000236242],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.09276719,"threshold_uncertainty_score":0.2230397,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02282479307305716,"score_gpt":0.2963822590791017,"score_spread":0.2735574660060445,"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."}}