{"id":"W4391183291","doi":"10.1090/mawrld/031/02","title":"Modular arithmetic","year":2023,"lang":"en","type":"book-chapter","venue":"Mathematical world","topic":"Computability, Logic, AI Algorithms","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Arithmetic; Modular design; Modular arithmetic; Computer science; Mathematics; 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","insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0006942429,0.0006011653,0.0009302572,0.0004858293,0.0001199187,0.0003289955,0.002183014,0.0002637765,0.000938396],"category_scores_gemma":[0.000177711,0.0005361011,0.0004336285,0.0003246349,0.0002018152,0.0001398562,0.001810416,0.0007601011,0.01285576],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001506556,"about_ca_system_score_gemma":0.00008281853,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002028422,"about_ca_topic_score_gemma":0.00001159223,"domain_scores_codex":[0.9964167,0.00004089822,0.000797492,0.001116343,0.001037289,0.0005912035],"domain_scores_gemma":[0.9961845,0.000970389,0.0002035853,0.002216033,0.0001354418,0.0002901077],"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":[7.928988e-7,0.00005346466,6.131284e-7,0.0001826223,0.00004893389,0.0001472811,0.00006522115,0.00003608174,0.00000243605,0.9821874,0.001961691,0.0153134],"study_design_scores_gemma":[0.0001097063,0.00004146713,0.00002189933,0.0002299844,0.00003305092,0.00003042794,8.86276e-7,0.08400792,0.00000977346,0.8836177,0.03137814,0.0005190822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.000002389801,0.00008349539,0.4217963,0.001369998,0.000593419,0.0004322811,0.000008555208,0.001075796,0.5746378],"genre_scores_gemma":[0.0002976217,0.000007632823,0.1389997,0.0002642517,0.00031239,0.0000375306,0.000007767821,0.000112425,0.8599607],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.2853228,"threshold_uncertainty_score":0.9999749,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04138375493814637,"score_gpt":0.2469465134099438,"score_spread":0.2055627584717974,"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."}}