{"id":"W2106865514","doi":"","title":"Dynamics of generalizations of the AGM continued fraction of Ramanujan. Part I: divergence.","year":2004,"lang":"en","type":"article","venue":"UDSpace Institutional Repository (University of Delaware)","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University; Dalhousie University","funders":"","keywords":"Mathematics; Fraction (chemistry); Divergence (linguistics); Ramanujan's sum; Convergence (economics); Applied mathematics; Hurwitz matrix; Stability (learning theory); Mathematical analysis; Pure mathematics; Statistics","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":[0.0007441619,0.0004459086,0.0004024473,0.001428882,0.0008735221,0.001373045,0.0005926137,0.0007666752,0.003042317],"category_scores_gemma":[0.004595853,0.0001487556,0.0006411615,0.0005070862,0.001920031,0.002100606,0.001202648,0.001252051,0.0003608308],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001362203,"about_ca_system_score_gemma":0.0005443043,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001024319,"about_ca_topic_score_gemma":0.0004923928,"domain_scores_codex":[0.9997316,0.00007683622,0.00001343918,0.00003757662,0.00009773693,0.00004284053],"domain_scores_gemma":[0.9989344,0.0003948127,0.0002059907,0.0001034591,0.0001859999,0.0001752355],"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":[0.00001289835,0.00001144298,0.0004173512,0.00003092499,0.000004971805,0.0001025732,0.0001452592,0.00309179,0.001879649,0.9899679,0.0005692016,0.003766099],"study_design_scores_gemma":[0.00001352973,0.00003918307,0.0005958233,0.00002818257,0.000004752589,0.0004103027,0.0000806844,0.05723751,0.0007401698,0.936561,0.004273433,0.00001537451],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5418296,0.006186507,0.3238217,0.003173675,0.0006999946,0.0001285349,0.0002023329,0.0002880619,0.1236695],"genre_scores_gemma":[0.970958,0.001144474,0.01763121,0.0003046765,0.0003306734,0.00007461081,0.00005956724,0.00004349048,0.009453316],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003042317,"threshold_uncertainty_score":0.01017755,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02129228944618762,"score_gpt":0.2388136302437402,"score_spread":0.2175213407975526,"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."}}