{"id":"W3194202778","doi":"10.6084/m9.figshare.15169071.v1","title":"A new form of the Machin-like formula for pi by iteration with increasing integers","year":2021,"lang":"en","type":"preprint","venue":"Figshare","topic":"Mathematical and Theoretical Analysis","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Research Council Canada; York University","keywords":"Pi; Mathematics; Combinatorics; Arithmetic; Discrete mathematics; Geometry","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0009550024,0.0005590578,0.0005313445,0.001008053,0.0009696928,0.001859873,0.001105772,0.001087553,0.008772717],"category_scores_gemma":[0.003257677,0.0002902391,0.0009024587,0.00076188,0.002112731,0.003894426,0.001562594,0.002904349,0.00166549],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006639909,"about_ca_system_score_gemma":0.0004647893,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002293015,"about_ca_topic_score_gemma":0.0003012151,"domain_scores_codex":[0.9992862,0.0001781892,0.00004524395,0.0001321517,0.0002758244,0.000082438],"domain_scores_gemma":[0.9993604,0.0002552394,0.00006284939,0.0001166869,0.0001439703,0.00006083722],"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":[0.00001927362,0.00001031414,0.0001056267,0.00004205813,0.000003594304,0.0000829105,0.000121644,0.0006359916,0.002067169,0.9868807,0.001286695,0.008744094],"study_design_scores_gemma":[0.00001773678,0.00004380837,0.000119904,0.00002017403,0.000009913516,0.0002810387,0.00004829391,0.0117407,0.003380306,0.9677544,0.01656185,0.00002186777],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"other","genre_scores_codex":[0.05091028,0.0006511201,0.8282815,0.00178389,0.001021169,0.0001233345,0.0002110945,0.0005971302,0.1164205],"genre_scores_gemma":[0.5048839,0.0008408434,0.4501717,0.001458069,0.0007199388,0.0002220159,0.0002956018,0.0008027762,0.04060506],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.008772717,"threshold_uncertainty_score":0.02934772,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03597898722392373,"score_gpt":0.2847555180019484,"score_spread":0.2487765307780246,"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."}}