{"id":"W2033240301","doi":"10.1016/j.laa.2013.01.034","title":"On matrix semigroups bounded above and below","year":2013,"lang":"en","type":"preprint","venue":"Linear Algebra and its Applications","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Waterloo","funders":"","keywords":"Bounded function; Semigroup; Mathematics; Generalization; Pure mathematics; Norm (philosophy); Matrix (chemical analysis); Discrete 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001756143,0.001386366,0.0009390452,0.002340143,0.001384033,0.00324483,0.001211964,0.001381307,0.006323373],"category_scores_gemma":[0.006259913,0.0005173499,0.0006317807,0.001650898,0.003647683,0.005407415,0.002356331,0.002789229,0.001263749],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001449888,"about_ca_system_score_gemma":0.0008360728,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001029096,"about_ca_topic_score_gemma":0.0008107059,"domain_scores_codex":[0.99872,0.0004222299,0.00006540227,0.00020003,0.0004639025,0.0001284887],"domain_scores_gemma":[0.9955862,0.002554506,0.0004703755,0.0002551436,0.0005783566,0.0005554712],"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":[0.00002590545,0.000013366,0.00007715564,0.00003852475,0.000004787686,0.00008030381,0.000253782,0.000840668,0.001228168,0.9938875,0.0007274094,0.002822345],"study_design_scores_gemma":[0.000009558325,0.00001253261,0.00007662351,0.0000126439,0.000004094044,0.00009815188,0.00006631364,0.00915666,0.0003381575,0.9885739,0.001639926,0.00001146577],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2357717,0.008635054,0.6210943,0.008551298,0.001425031,0.0000724975,0.0007551295,0.0005492558,0.1231456],"genre_scores_gemma":[0.9142665,0.003764037,0.04210883,0.001127285,0.002072875,0.000133521,0.000405804,0.0001957284,0.03592544],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.006323373,"threshold_uncertainty_score":0.02115375,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03534076403573628,"score_gpt":0.3612993768748606,"score_spread":0.3259586128391244,"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."}}