{"id":"W4391183302","doi":"10.1090/mawrld/031/06","title":"The ring of polynomials","year":2023,"lang":"en","type":"book-chapter","venue":"Mathematical world","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Ring (chemistry); Mathematics; Pure mathematics; Chemistry; Organic chemistry","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003699462,0.0007216033,0.0005077515,0.001269722,0.001509858,0.004967981,0.0006431908,0.0006663176,0.02843745],"category_scores_gemma":[0.001181262,0.0003469875,0.0002327155,0.002142408,0.00400948,0.004858653,0.0009621955,0.002919212,0.01096893],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002031206,"about_ca_system_score_gemma":0.001346562,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002203393,"about_ca_topic_score_gemma":0.002442292,"domain_scores_codex":[0.9996465,0.0001112235,0.00001020612,0.00005339792,0.0001427375,0.00003581307],"domain_scores_gemma":[0.9997345,0.0001172235,0.00002089728,0.0000464799,0.00005597379,0.00002491366],"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":[0.000004835613,0.000005831049,0.00002162503,0.00003619178,0.00000145837,0.000010817,0.0001594815,0.0000907311,0.00007922543,0.9497592,0.0384142,0.0114162],"study_design_scores_gemma":[0.000003379146,0.000005800977,0.0001123844,0.00004508356,0.000001940358,0.00005892382,0.00008176652,0.0001497631,0.00006393986,0.4667444,0.5327291,0.000003342473],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.0006603641,0.0179562,0.003289578,0.00164214,0.0007419608,0.000009905872,0.0001110576,0.00007192816,0.9755167],"genre_scores_gemma":[0.07355084,0.02773989,0.005557613,0.001560327,0.002928081,0.00005906645,0.0002909253,0.0001556431,0.8881576],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.02843745,"threshold_uncertainty_score":0.09513271,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.08044227733398827,"score_gpt":0.2997823197842323,"score_spread":0.219340042450244,"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."}}