{"id":"W1990602038","doi":"10.1016/j.jfa.2010.12.026","title":"A classification of finite rank dimension groups by their representations in ordered real vector spaces","year":2010,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Operator Algebra Research","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Mathematics; Rank (graph theory); Dimension (graph theory); Vector space; Interpolation (computer graphics); Pure mathematics; Isomorphism (crystallography); Vector bundle; Normed vector space; Combinatorics","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":[0.0009888546,0.0005161948,0.0006279088,0.003425596,0.0009661948,0.00422176,0.0008190477,0.001090308,0.004042792],"category_scores_gemma":[0.003203733,0.000284946,0.0006232508,0.002160903,0.003484118,0.003935515,0.001315919,0.001311622,0.0005452626],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006628999,"about_ca_system_score_gemma":0.0004944901,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003905104,"about_ca_topic_score_gemma":0.0002811562,"domain_scores_codex":[0.9993026,0.0001596211,0.00007015565,0.0001087462,0.0001895591,0.0001692793],"domain_scores_gemma":[0.9972124,0.0009096022,0.0006597292,0.0004247508,0.0002996432,0.0004938015],"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":[0.0001005094,0.00006680415,0.001861702,0.00003931361,0.00001004208,0.0000850024,0.000864151,0.0006319713,0.00244027,0.9795809,0.001142813,0.01317651],"study_design_scores_gemma":[0.00003673048,0.00009148727,0.001628478,0.0000365538,0.00001278949,0.0002863268,0.0006878245,0.006313796,0.0007651461,0.9853935,0.004721474,0.00002606109],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9003708,0.0008327206,0.07418413,0.001197855,0.0002238704,0.00008181831,0.0004138972,0.0002080841,0.02248673],"genre_scores_gemma":[0.9725255,0.0004480272,0.01906027,0.0001699326,0.0002680863,0.00005237322,0.0005835636,0.00004755357,0.006844734],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00422176,"threshold_uncertainty_score":0.01352453,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04309514652132505,"score_gpt":0.3390880919816721,"score_spread":0.295992945460347,"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."}}