{"id":"W6884304723","doi":"10.1007/978-3-031-77259-7_10","title":"Texts for Chapter 4, De Quadratura Arithmetica (DQA)","year":2025,"lang":"en","type":"book-chapter","venue":"Frontiers in the history of science","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Compendium; Bernoulli's principle; Arithmetic function; Exposition (narrative)","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":["metaepi_narrow","sts"],"consensus_categories":[],"category_scores_codex":[0.003750724,0.0003364854,0.0006649006,0.0006851637,0.0002374791,0.000016415,0.001788916,0.0002562535,0.0001017763],"category_scores_gemma":[0.0008027838,0.0002780619,0.0002593933,0.00008671643,0.004622272,0.0001323946,0.00009260085,0.0004546205,0.000007187136],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001387657,"about_ca_system_score_gemma":0.000872222,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000196034,"about_ca_topic_score_gemma":0.000004428783,"domain_scores_codex":[0.9978585,0.00004087055,0.000593708,0.0004674016,0.0006536329,0.0003858799],"domain_scores_gemma":[0.9977189,0.0005625992,0.0005127537,0.0009473198,0.0001806338,0.00007780539],"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":[0.00003464795,0.00004384713,5.796673e-7,0.0004003296,0.00001866023,0.000005638352,0.005775311,9.00235e-7,0.0000390265,0.7758561,0.2152807,0.002544238],"study_design_scores_gemma":[0.0001316018,0.00004294861,4.937612e-7,0.0002991114,0.00006884787,0.000006005101,0.0001399293,0.0001549969,0.00001643894,0.5388278,0.4601382,0.0001735766],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00003220315,0.004084243,0.03448554,0.0001795975,0.004964195,0.0008524836,0.0000388008,0.00004390761,0.955319],"genre_scores_gemma":[0.0005563689,0.00006622361,0.1294061,0.0002735368,0.00008361618,0.00003796002,0.000002183693,0.00003895883,0.8695351],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2448575,"threshold_uncertainty_score":0.9999672,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03648281726044638,"score_gpt":0.265779433957019,"score_spread":0.2292966166965726,"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."}}