{"id":"W1483070169","doi":"10.1002/9781118336816.ch4","title":"Irreducibility and Factorization","year":2012,"lang":"en","type":"other","venue":"","topic":"Coding theory and cryptography","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Irreducibility; Adjunction; Factorization; Mathematics; Pure mathematics; Algebra over a field; Combinatorics; Algorithm","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":[0.001160238,0.0006144266,0.0005440004,0.001319013,0.001564486,0.003595599,0.0004906347,0.0006532811,0.01540323],"category_scores_gemma":[0.002253026,0.0002760281,0.0007085341,0.001301071,0.005357957,0.007980176,0.002092748,0.00338045,0.00266335],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001719323,"about_ca_system_score_gemma":0.000768454,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001089323,"about_ca_topic_score_gemma":0.0005972215,"domain_scores_codex":[0.998919,0.0002650588,0.00006116263,0.0002251291,0.0003685151,0.0001611018],"domain_scores_gemma":[0.9991367,0.0004002201,0.00006916145,0.0001674768,0.0001547362,0.00007165309],"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":[0.000004985922,0.000003959279,0.00003007957,0.00001601607,9.20268e-7,0.00001479766,0.0001343594,0.00006630484,0.0001455238,0.992247,0.001368628,0.005967541],"study_design_scores_gemma":[0.000003061354,0.000006978166,0.00006153587,0.00001754199,0.000001658984,0.0000576662,0.00005920161,0.0001864594,0.0002792386,0.9718473,0.02747524,0.000004070911],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.04788259,0.01973868,0.08275144,0.009177702,0.00182076,0.00003714303,0.0003507342,0.0004263226,0.8378147],"genre_scores_gemma":[0.7970479,0.01516527,0.01709451,0.001744812,0.003516929,0.00005146259,0.0004675454,0.0002994149,0.1646121],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01540323,"threshold_uncertainty_score":0.05152899,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01150089140642676,"score_gpt":0.2194827275843141,"score_spread":0.2079818361778873,"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."}}