{"id":"W1846935205","doi":"10.3968/j.sms.1923845220120201.012","title":"Uniform Convergence, Mixing and Chaos","year":2010,"lang":"en","type":"article","venue":"Studies in mathematical sciences","topic":"Mathematical Dynamics and Fractals","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Surjective function; Mixing (physics); Mathematics; Sequence (biology); CHAOS (operating system); Metric space; Convergence (economics); Continuous map; Chaotic; Topology (electrical circuits); Topological space; Space (punctuation); Metric (unit); Pure mathematics; Combinatorics; Physics; Computer science; Quantum mechanics; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001654095,0.0003178007,0.0004154637,0.001063948,0.0007516043,0.001115936,0.0003368704,0.0005033066,0.001373434],"category_scores_gemma":[0.004193945,0.0001441101,0.0002956119,0.0006275752,0.003944427,0.002792391,0.001755675,0.0008277667,0.0001410256],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000819661,"about_ca_system_score_gemma":0.0002646561,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004450782,"about_ca_topic_score_gemma":0.0002442759,"domain_scores_codex":[0.9993677,0.0002431115,0.00004235367,0.0001213498,0.0001449217,0.00008067409],"domain_scores_gemma":[0.9984366,0.0008311691,0.0001646181,0.0002071863,0.0002341282,0.0001262261],"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":[0.00003152789,0.000006792062,0.0008005158,0.00003170216,0.000008749805,0.00006403872,0.000346509,0.002481101,0.001479227,0.9889753,0.0002379395,0.005536601],"study_design_scores_gemma":[0.00001170014,0.00007527905,0.001715502,0.00002222449,0.000007168761,0.0002125553,0.0002363482,0.02130228,0.001607409,0.9692776,0.005521673,0.00001022383],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6528299,0.006512988,0.2606432,0.002852841,0.0001570544,0.00005088007,0.0001151672,0.0001255149,0.07671247],"genre_scores_gemma":[0.9859005,0.0008392133,0.009043247,0.00008645948,0.00009949868,0.0000440958,0.00003445683,0.00001345587,0.003939042],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001654095,"threshold_uncertainty_score":0.008747756,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1218195247233452,"score_gpt":0.4175425677248708,"score_spread":0.2957230430015256,"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."}}