{"id":"W4390636871","doi":"10.5206/mt.v3i4.17247","title":"Two-cycles in the Infinite Exponential Tower","year":2024,"lang":"en","type":"article","venue":"Maple Transactions","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"Western University","funders":"","keywords":"Subsequence; Tower; Exponential function; Boundary (topology); Transformation (genetics); Sequence (biology); Mathematics; Set (abstract data type); Combinatorics; Expression (computer science); Mathematical analysis; Pure mathematics; Physics; Geometry; Computer science; Biology","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.0003557079,0.0001054243,0.0001270138,0.00009867557,0.00007923923,0.0001274204,0.0001561711,0.0000483549,0.001998078],"category_scores_gemma":[0.00002596979,0.0000708849,0.0001226507,0.0002563043,0.00004020253,0.0001029546,0.000004301909,0.0002525545,0.00009874769],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001863784,"about_ca_system_score_gemma":0.0000181413,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004506294,"about_ca_topic_score_gemma":0.0002842992,"domain_scores_codex":[0.9991829,0.00004717692,0.0002498273,0.0001472981,0.000192272,0.0001804844],"domain_scores_gemma":[0.9990292,0.0006696749,0.00001596749,0.0002415735,0.00001176151,0.00003181896],"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":[0.00001424012,0.0005360928,0.00001433227,0.0003176071,0.00008750334,0.00008096606,0.007977696,0.0001262664,0.0009337917,0.9735605,0.002243824,0.01410722],"study_design_scores_gemma":[0.0003724097,0.00003602514,0.0001432042,0.0001516061,0.0001131902,0.00005536284,0.001292885,0.05352291,0.0001398254,0.9185138,0.02539514,0.0002636946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1212952,0.0001766022,0.8218425,0.003996319,0.0005695939,0.0005124977,0.00008252225,0.0002562918,0.05126851],"genre_scores_gemma":[0.9949176,0.00001935855,0.003354398,0.00009449467,0.0000629014,0.00007581365,0.000004183764,0.00001925744,0.001452038],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8736224,"threshold_uncertainty_score":0.9989142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04817601296047293,"score_gpt":0.3372150107077983,"score_spread":0.2890389977473254,"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."}}