{"id":"W2964053975","doi":"10.4134/bkms.2015.52.1.045","title":"FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE","year":2015,"lang":"en","type":"article","venue":"Bulletin of the Korean Mathematical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"National Research Foundation of Korea; Ministry of Science, ICT and Future Planning; National Research Foundation","keywords":"Endomorphism; Bounded function; Mathematics; Degree (music); Polynomial; Discrete mathematics; Pure mathematics; Combinatorics; Mathematical analysis","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001315102,0.0004297475,0.000535894,0.001162461,0.001013966,0.001743387,0.0007071418,0.0006113902,0.002769866],"category_scores_gemma":[0.004596889,0.000414694,0.000838696,0.0005502323,0.002864601,0.005061557,0.002247244,0.001761787,0.0002474487],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009994974,"about_ca_system_score_gemma":0.0004817772,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006158744,"about_ca_topic_score_gemma":0.0004471632,"domain_scores_codex":[0.9982565,0.0003517601,0.0001129284,0.0005303919,0.000458688,0.0002897252],"domain_scores_gemma":[0.9958073,0.002145937,0.00057177,0.0004487814,0.0004709073,0.0005551857],"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":[0.00006681225,0.00003553154,0.001107279,0.00006706083,0.00002061603,0.0003647298,0.0008917702,0.00162854,0.008442129,0.9826567,0.0001270889,0.00459176],"study_design_scores_gemma":[0.00005958952,0.0001774842,0.001881754,0.00002928474,0.00004581968,0.0007794997,0.0004536093,0.02303138,0.01360446,0.9547568,0.005128049,0.00005227086],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7876838,0.0006688858,0.1966256,0.0003001852,0.00005737793,0.00004430817,0.0001316805,0.0001774104,0.01431071],"genre_scores_gemma":[0.9867764,0.0001836914,0.009835467,0.00004761837,0.00005383563,0.00004024553,0.000084435,0.00003164809,0.002946601],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002769866,"threshold_uncertainty_score":0.009266078,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09706514165799066,"score_gpt":0.3009071891249225,"score_spread":0.2038420474669318,"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."}}