{"id":"W4412354928","doi":"10.1007/978-3-031-89087-1_1","title":"Introduction: The Sine of 1° and its History","year":2025,"lang":"en","type":"book-chapter","venue":"Sources and studies in the history of mathematics and physical sciences","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Trinity Western University; Western University","funders":"","keywords":"Sine; Mathematics; Geometry","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":["sts"],"consensus_categories":[],"category_scores_codex":[0.001680993,0.0002757636,0.0008186874,0.0001005354,0.0002130856,0.000006717734,0.0003540654,0.00008162633,0.00003147494],"category_scores_gemma":[0.0004053676,0.0001490025,0.0001023246,0.00004394791,0.004739537,0.00005169469,0.0001967998,0.0002528496,7.297272e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001058596,"about_ca_system_score_gemma":0.0000689024,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003485403,"about_ca_topic_score_gemma":0.000009432292,"domain_scores_codex":[0.9986244,0.00006664692,0.0004909759,0.0002845063,0.0003915651,0.000141898],"domain_scores_gemma":[0.9966268,0.002401598,0.0005806719,0.0002749742,0.00008834586,0.00002761194],"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":[0.000005165964,0.0001052011,4.851728e-7,0.002137408,0.00008045133,9.722394e-7,0.08540799,8.046423e-7,0.00001259873,0.8917014,0.01995137,0.0005961615],"study_design_scores_gemma":[0.0001161632,0.0001929456,7.651654e-7,0.0005686085,0.0002410958,0.000009776371,0.007106516,0.0003609531,0.000004445852,0.7543091,0.2369134,0.0001763118],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.09098278,0.3585838,0.00007991719,0.004261902,0.002402912,0.00163975,0.00004011987,0.0000521228,0.5419567],"genre_scores_gemma":[0.1386318,0.0192649,0.004603696,0.0003416721,0.00152623,0.00007805867,0.000002352076,0.000081159,0.8354701],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3393189,"threshold_uncertainty_score":0.997969,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.09833256798209981,"score_gpt":0.3030884240278729,"score_spread":0.2047558560457731,"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."}}