{"id":"W2019048879","doi":"10.1142/s1793042112500042","title":"THE ITERATED INTEGRALS OF <font>ln</font>(1 + x<sup>n</sup>)","year":2011,"lang":"en","type":"article","venue":"International Journal of Number Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université du Québec à Montréal","funders":"","keywords":"Sequence (biology); Iterated function; Polynomial; Iterated function system; Algebra over a field","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001946033,0.0001659736,0.0003465646,0.0001125865,0.00007992766,0.00006102145,0.000800161,0.00008607118,0.01088517],"category_scores_gemma":[0.002221399,0.00009790257,0.000316216,0.000106011,0.0001724395,0.0002174231,0.00008590437,0.0002941276,0.0001153162],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005871937,"about_ca_system_score_gemma":0.00008622888,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001368979,"about_ca_topic_score_gemma":0.000004009858,"domain_scores_codex":[0.9977865,0.0002881733,0.001100354,0.0001005554,0.0005420315,0.0001824062],"domain_scores_gemma":[0.9951207,0.002753758,0.0007943852,0.0002630402,0.0009719746,0.00009615949],"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":[0.0007062247,0.0004224199,0.0003429134,0.00002566934,0.0008899851,0.00004020301,0.003787741,0.000005098223,0.0001613112,0.9448215,0.04194666,0.006850252],"study_design_scores_gemma":[0.0006289415,0.0001020694,0.0001392218,0.0003147559,0.00009647923,0.0004457797,0.001292148,0.0001465684,0.002554479,0.9705463,0.02359571,0.0001375415],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7024745,0.0004146282,0.03030615,0.001249082,0.003168297,0.0004444496,0.0002713581,0.00007117626,0.2616003],"genre_scores_gemma":[0.9830422,0.00007921721,0.009197545,0.0002060725,0.0005530741,0.000009499905,0.000004858531,0.000036949,0.006870577],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2805676,"threshold_uncertainty_score":0.990019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05280521795328164,"score_gpt":0.3238724186236462,"score_spread":0.2710672006703645,"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."}}