{"id":"W3109583424","doi":"10.1007/978-981-15-8719-1_8","title":"The Central Limit Theorem in Algebra and Number Theory","year":2020,"lang":"en","type":"book-chapter","venue":"Springer proceedings in mathematics & statistics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Queen's University","funders":"","keywords":"Central limit theorem; Limit (mathematics); Algebra over a field; Mathematics; Position (finance); Pure mathematics; Mathematical analysis","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","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.002747419,0.0008547974,0.001196711,0.0002220652,0.0002134724,0.0003818365,0.0009971994,0.0004963931,0.001220315],"category_scores_gemma":[0.004981296,0.0006815327,0.0001417583,0.0001545103,0.0009002293,0.0001331091,0.0007987939,0.001996737,0.0002531283],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003585541,"about_ca_system_score_gemma":0.0001981784,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006007226,"about_ca_topic_score_gemma":0.00008249708,"domain_scores_codex":[0.9953655,0.00005222307,0.001552462,0.0008264723,0.001132241,0.00107111],"domain_scores_gemma":[0.992119,0.006040012,0.0007390185,0.0005122474,0.0002832507,0.0003065115],"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":[0.00007266785,0.00007887968,0.000186276,0.001581185,0.0001499622,0.0001262469,0.00397735,1.619525e-7,0.000003832909,0.9845079,0.006311675,0.003003848],"study_design_scores_gemma":[0.0004562914,0.00004549887,0.00005802302,0.001112975,0.0001466526,0.00004711415,0.001122262,0.0009452818,0.00001434824,0.9816076,0.01377186,0.0006720757],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0009813895,0.0004667506,0.00968562,0.0005860043,0.0002439227,0.002612899,0.0007116096,0.0002312471,0.9844806],"genre_scores_gemma":[0.01723582,0.004457851,0.3567019,0.0003689286,0.0010028,0.0003972395,0.00009728385,0.001674708,0.6180634],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.3664171,"threshold_uncertainty_score":0.9996927,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03679827007709234,"score_gpt":0.3004419622660556,"score_spread":0.2636436921889632,"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."}}