{"id":"W2914313791","doi":"10.1007/s00200-019-00382-2","title":"Fixed points of rational functions satisfying the Carlitz property","year":2019,"lang":"en","type":"article","venue":"Applicable Algebra in Engineering Communication and Computing","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Property (philosophy); Rational function; Pure mathematics; Algebra over a field; Philosophy","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":[0.0005790783,0.0009187471,0.0008208902,0.002534803,0.001280331,0.003349196,0.0007990173,0.00113324,0.004330667],"category_scores_gemma":[0.00244687,0.0004403602,0.0007461549,0.001358154,0.002338401,0.002640678,0.001611737,0.001919996,0.0008297003],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001595838,"about_ca_system_score_gemma":0.0006837425,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001159532,"about_ca_topic_score_gemma":0.000694462,"domain_scores_codex":[0.9996274,0.00007267575,0.00001550743,0.00006256986,0.0001015512,0.0001204015],"domain_scores_gemma":[0.9992881,0.0002808298,0.0001253518,0.00006373535,0.0001450764,0.00009693082],"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":[0.0000645435,0.00001894464,0.0002670248,0.00002364498,0.00001603849,0.0001417958,0.0001746518,0.001518325,0.002455933,0.9916593,0.0004510715,0.003208742],"study_design_scores_gemma":[0.00004696836,0.00003745047,0.0005182714,0.00001802408,0.00001468767,0.0001674773,0.0002242811,0.01395564,0.002505075,0.9805792,0.001904623,0.00002827231],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7827202,0.001101061,0.1331971,0.001019136,0.0002177952,0.00005296482,0.0003181273,0.000249483,0.08112418],"genre_scores_gemma":[0.9864245,0.0003685044,0.003802316,0.00005653316,0.00009702305,0.00003425694,0.0001612968,0.00005639816,0.008999296],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004330667,"threshold_uncertainty_score":0.0144875,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0156801884358921,"score_gpt":0.2466759624374071,"score_spread":0.230995774001515,"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."}}