{"id":"W2038920972","doi":"10.1142/s0129167x06003370","title":"ON THE INDUCTIVE LIMIT STRUCTURE OF ORDER FOUR AUTOMORPHISMS OF THE IRRATIONAL ROTATION ALGEBRA","year":2006,"lang":"en","type":"article","venue":"International Journal of Mathematics","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Northern British Columbia","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Automorphism; Irrational number; Limit point; Order (exchange); Pure mathematics; Invariant (physics); Sequence (biology); Limit (mathematics); Rotation (mathematics); Algebra over a field; Mathematical analysis; Geometry; Mathematical physics","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":[0.0005780325,0.0005451511,0.0005422455,0.001400048,0.0009912858,0.001547729,0.0007098744,0.0004197257,0.003713899],"category_scores_gemma":[0.001373135,0.000246208,0.0005291371,0.0009950096,0.003246678,0.002681866,0.001419761,0.001215061,0.001084139],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001068036,"about_ca_system_score_gemma":0.0005702404,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007623654,"about_ca_topic_score_gemma":0.0006013076,"domain_scores_codex":[0.9997003,0.00007033654,0.00001608065,0.00005009665,0.00008668283,0.00007655258],"domain_scores_gemma":[0.9992309,0.0002596617,0.0001925458,0.00008642014,0.0001236585,0.0001069781],"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":[0.00002226751,0.00001711964,0.000331721,0.00003771203,0.000004300026,0.000207345,0.0003897194,0.001788776,0.00234363,0.988188,0.0002442963,0.006425192],"study_design_scores_gemma":[0.000009703343,0.00005303181,0.0002892445,0.00001995755,0.000008199917,0.0002248192,0.0001817382,0.00762429,0.003235236,0.9841578,0.004176454,0.0000194484],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6704416,0.002685752,0.189324,0.0009418678,0.0002064577,0.00007973611,0.0001115778,0.0003668414,0.1358421],"genre_scores_gemma":[0.9607484,0.001678682,0.02131074,0.000122379,0.0001626655,0.00006454133,0.0001409821,0.00007004679,0.01570158],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003713899,"threshold_uncertainty_score":0.01242423,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03364801592406644,"score_gpt":0.2980333718949886,"score_spread":0.2643853559709222,"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."}}