{"id":"W4403305160","doi":"10.1017/9781009302180.042","title":"Logarithms and Exponentials","year":2024,"lang":"en","type":"book-chapter","venue":"Cambridge University Press eBooks","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Logarithm; Exponential function; Mathematics; Applied 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"],"consensus_categories":[],"category_scores_codex":[0.0001594954,0.0003471043,0.0005254257,0.0001713588,0.0001282082,0.00008203768,0.0002039868,0.0003878194,0.00006422742],"category_scores_gemma":[0.00002879143,0.0003492345,0.0002074424,0.000005586357,0.0001953123,0.00004482145,0.0003857692,0.0003797819,0.00007626443],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00007105438,"about_ca_system_score_gemma":0.00004034619,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002556595,"about_ca_topic_score_gemma":0.000001218307,"domain_scores_codex":[0.9988864,0.00002035982,0.000252726,0.0004287838,0.0001986411,0.0002130698],"domain_scores_gemma":[0.9988305,0.0003340885,0.0001339968,0.0004668583,0.00006696335,0.0001675962],"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":[0.00001762321,0.000007565221,5.128229e-8,0.0005275377,0.0001848451,0.0001425991,0.00003606312,2.747475e-8,0.00002575998,0.8852139,0.1135051,0.0003389422],"study_design_scores_gemma":[0.0002200584,0.00003539537,2.258527e-7,0.0004001767,0.0006637619,0.00004343604,0.000022248,0.00003608177,0.0001505174,0.0139772,0.9840779,0.0003729408],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0001054346,0.0002960158,0.0008861797,0.00003048569,0.0003370653,0.0003913094,0.0003057343,0.0002145563,0.9974332],"genre_scores_gemma":[0.000148098,0.0001164738,0.0008041069,0.00002448489,0.0001965218,0.000001109197,0.00001305963,0.0000677499,0.9986284],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.8712367,"threshold_uncertainty_score":0.999896,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05343515209413516,"score_gpt":0.2434307328947808,"score_spread":0.1899955808006457,"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."}}