{"id":"W2140151266","doi":"10.1016/j.laa.2013.06.005","title":"Unital affine semigroups","year":2013,"lang":"en","type":"article","venue":"Linear Algebra and its Applications","topic":"Matrix Theory and Algorithms","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Guelph","funders":"Natural Sciences and Engineering Research Council of Canada; University of Guelph","keywords":"Mathematics; Affine transformation; Semigroup; Affine combination; Affine hull; Affine coordinate system; Invertible matrix; Pure mathematics; Discrete mathematics; Bounded function; Element (criminal law); Special classes of semigroups; Affine group; Affine representation; Combinatorics; Affine space; Algebra over a field; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":true,"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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00007088306,0.00008221259,0.00007608099,0.00004106544,0.0001561404,0.00009274737,0.0003373381,0.0000380451,0.0001553073],"category_scores_gemma":[0.000009477632,0.00007067282,0.00002304835,0.0002702371,0.00002403256,0.0003382367,0.0001369103,0.00008094886,0.0007825569],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000004090044,"about_ca_system_score_gemma":0.00001237218,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006608172,"about_ca_topic_score_gemma":5.974208e-7,"domain_scores_codex":[0.9994286,0.00001651476,0.0001189638,0.0002162764,0.00007614343,0.0001435157],"domain_scores_gemma":[0.9994505,0.00006491632,0.00003228912,0.0002914423,0.00005936664,0.0001015016],"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":[2.782572e-7,0.0000384654,0.00001762382,0.000007723327,0.00000570856,3.005721e-7,0.0001003335,0.000003628851,0.001276003,0.9526217,0.0005983587,0.04532985],"study_design_scores_gemma":[0.00075206,0.0001353758,0.002787456,0.00001944003,0.00002356024,0.00008048867,0.0001444664,0.2986053,0.01218283,0.2777865,0.4066812,0.0008012991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07802142,0.0007677251,0.9006034,0.004583571,0.00009328665,0.0008738189,0.00001275265,0.0004450103,0.01459899],"genre_scores_gemma":[0.9629611,0.00008905638,0.03044551,0.0006896707,0.0003504973,0.0003624876,0.00001694354,0.00001212253,0.00507257],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8849397,"threshold_uncertainty_score":0.9999955,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007859412777873295,"score_gpt":0.2216524943546348,"score_spread":0.2137930815767615,"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."}}