{"id":"W4379740615","doi":"10.1017/9781009089005.004","title":"Numbers, Quadratics and Inequalities","year":2023,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematical proof; Cardinality (data modeling); Mathematics education; Focus (optics); Perspective (graphical); Computer science; Process (computing); Mathematical induction; Mathematics; Artificial intelligence; Programming language","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"],"consensus_categories":[],"category_scores_codex":[0.0003247659,0.0004088083,0.0006040488,0.0001686692,0.0002601462,0.0000378846,0.0003317446,0.0004190917,0.00001191519],"category_scores_gemma":[0.00009601154,0.0004774228,0.0001707395,0.000007072182,0.000421953,0.00006940775,0.0003187237,0.0004477207,0.00005006904],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001213875,"about_ca_system_score_gemma":0.00007386275,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002160492,"about_ca_topic_score_gemma":0.000006433251,"domain_scores_codex":[0.998724,0.00006624987,0.0002985891,0.0003641079,0.0002954922,0.0002515216],"domain_scores_gemma":[0.9981173,0.0007211884,0.0003142469,0.0005791078,0.0001058038,0.0001623389],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00002745618,0.000008937855,1.704369e-7,0.0007406121,0.0001549319,0.0002082914,0.0007378091,1.056705e-7,0.000003162405,0.9307472,0.0672172,0.0001541965],"study_design_scores_gemma":[0.0004172254,0.00004667533,3.233304e-7,0.0004798602,0.0004216811,0.0000287369,0.0004725012,0.00002618982,0.00003707884,0.0449047,0.9525408,0.0006242135],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0003640937,0.00005400467,0.0005906107,0.000012035,0.0002493208,0.0003211227,0.0002778744,0.0003958482,0.9977351],"genre_scores_gemma":[0.0001439794,0.00009307655,0.0009953299,0.00002688847,0.0001105947,7.572889e-7,0.00002147652,0.0001087194,0.9984992],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.8858424,"threshold_uncertainty_score":0.9997677,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07400560538368299,"score_gpt":0.2437236778743058,"score_spread":0.1697180724906228,"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."}}