{"id":"W2612757204","doi":"10.3934/amc.2017034","title":"Cycle structure of iterating Redei functions","year":2017,"lang":"en","type":"article","venue":"Advances in Mathematics of Communications","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Quadratic equation; Prime (order theory); Reciprocity law; Exponentiation; Reciprocity (cultural anthropology); Pure mathematics; Mathematical analysis; Mathematical physics; Combinatorics; Geometry","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":[0.0002092996,0.00006303244,0.0001525543,0.00009324429,0.0002931175,0.00004785565,0.002846261,0.00002672488,0.000009392877],"category_scores_gemma":[0.0002426593,0.0000605996,0.00005104813,0.0001547523,0.0002542117,0.0007433903,0.0006124067,0.0001113431,0.000001006846],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000005530229,"about_ca_system_score_gemma":0.00001525754,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000004489301,"about_ca_topic_score_gemma":0.00007170784,"domain_scores_codex":[0.9993704,0.00004338799,0.0003152475,0.00008747456,0.000102457,0.00008102912],"domain_scores_gemma":[0.9957787,0.0003625027,0.0004362802,0.003321384,0.00008402032,0.00001707379],"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":[9.507678e-7,0.0001033803,0.0006775246,0.00005340456,0.000007308883,8.501698e-8,0.001650723,0.0002850288,0.002334939,0.986186,0.000007350562,0.008693302],"study_design_scores_gemma":[0.0001373337,0.00002747386,0.0005780025,0.0001737589,0.000005968557,0.000002343003,0.0002385214,0.01568108,0.002491854,0.9792231,0.001358252,0.00008225601],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1211597,0.004073122,0.7667941,0.001690121,0.0003175004,0.000395505,0.00005478531,0.0001011369,0.105414],"genre_scores_gemma":[0.7019414,0.0001711042,0.2978559,0.000005285213,0.000003390417,0.000004136449,0.000001531905,0.000002684273,0.00001454348],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5807817,"threshold_uncertainty_score":0.5289109,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01911933057508611,"score_gpt":0.3157061989901359,"score_spread":0.2965868684150497,"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."}}