{"id":"W2119794158","doi":"10.1007/978-1-4757-3240-5_56","title":"The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions","year":2000,"lang":"en","type":"book-chapter","venue":"","topic":"Mathematics and Applications","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":false,"ca_institutions":"Dalhousie University","funders":"","keywords":"Computation; Arithmetic; Elementary function; Mathematics; Geometric mean; Gaussian; Arbitrary-precision arithmetic; Computer science; Algebra over a field; Algorithm; Pure mathematics; Statistics; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002065963,0.0001703803,0.0002478425,0.0001708107,0.0001857536,0.00003602473,0.000113785,0.00008856577,0.0006430009],"category_scores_gemma":[0.00001671234,0.0001177882,0.00008358605,0.00007598126,0.0001002406,0.00001980111,0.00004965374,0.0001376974,0.00004201441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001884199,"about_ca_system_score_gemma":0.00002084228,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009392713,"about_ca_topic_score_gemma":0.00005574011,"domain_scores_codex":[0.9990081,0.000007645341,0.0004693061,0.0001685406,0.0002416525,0.000104825],"domain_scores_gemma":[0.9987443,0.0005633828,0.0002592834,0.0003013894,0.00008716209,0.00004445675],"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":[0.000004122686,0.00007431075,0.000001666351,0.0001817833,0.0001930417,3.85029e-7,0.0001232645,0.000006344656,0.000004912644,0.8411526,0.08530162,0.07295592],"study_design_scores_gemma":[0.0002094477,0.00006234615,0.000007902408,0.00009912973,0.0002870569,0.000009902938,0.000155205,0.001170845,0.00002214992,0.7620083,0.2357432,0.0002244842],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0002057601,0.000303894,0.02977484,0.000280581,0.0000407953,0.0006282033,0.00008946063,0.00005077574,0.9686257],"genre_scores_gemma":[0.01369335,0.001255617,0.04022764,0.00007838506,0.0001376639,0.000069699,0.0001089427,0.0001019513,0.9443268],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.1504416,"threshold_uncertainty_score":0.7040409,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04193913700325658,"score_gpt":0.2809033908602112,"score_spread":0.2389642538569546,"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."}}