{"id":"W4392163585","doi":"10.3390/mca29020017","title":"An Iterative Method for Computing π by Argument Reduction of the Tangent Function","year":2024,"lang":"en","type":"article","venue":"Mathematical and Computational Applications","topic":"Advanced Optimization Algorithms Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"Thoth Technology (Canada); York University","funders":"","keywords":"Reduction (mathematics); Argument (complex analysis); Tangent; Function (biology); Mathematics; Applied mathematics; Computer science; Mathematical optimization; Geometry; Medicine","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":[0.0003172092,0.00009669804,0.000132541,0.00004960872,0.00020719,0.0000633262,0.0001003756,0.00003899989,0.00003973427],"category_scores_gemma":[0.00004525243,0.00006883523,0.00005632217,0.0002690208,0.00008044377,0.00009559569,0.0000377839,0.00008935336,0.000004342839],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000399117,"about_ca_system_score_gemma":0.00003412335,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":6.558581e-7,"about_ca_topic_score_gemma":1.593082e-7,"domain_scores_codex":[0.999028,0.00006089053,0.0003153849,0.0002363867,0.0002524317,0.0001068693],"domain_scores_gemma":[0.9987154,0.0008134766,0.00007649754,0.000142169,0.0001987888,0.00005369689],"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":[0.000007342773,0.0002008713,0.000001291655,0.0002725194,0.00004418672,2.751985e-8,0.0004394974,0.009083398,0.0008530364,0.9631286,0.001044703,0.02492452],"study_design_scores_gemma":[0.0000723983,0.00002829909,0.000008599371,0.00002593535,0.00002259582,0.000006165641,0.0001056044,0.4814757,0.0003694696,0.5168602,0.000981819,0.00004320216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.0009679967,0.0001045575,0.9966565,0.000901701,0.00002536254,0.001036482,0.00007152566,0.00006545099,0.000170436],"genre_scores_gemma":[0.09261633,0.000003406245,0.9062071,0.00004158046,0.00008036454,0.00051667,0.00006943146,0.00002150893,0.0004435783],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.4723924,"threshold_uncertainty_score":0.2807019,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03486880062252565,"score_gpt":0.397759140954994,"score_spread":0.3628903403324683,"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."}}