{"id":"W2138725142","doi":"10.4153/cmb-2011-043-3","title":"Auerbach Bases and Minimal Volume Sufficient Enlargements","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Banach space; Normed vector space; Unit sphere; Projection (relational algebra); Reflexive space; Bounded function; Strictly convex space; Pure mathematics; Embedding; Regular polygon; Space (punctuation); Volume (thermodynamics); Bounded operator; Combinatorics; Convex set; Mathematical analysis; Functional analysis; Geometry; Interpolation space","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"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":[0.000567469,0.000279724,0.0003734623,0.000171979,0.0001618116,0.00003404475,0.0002721068,0.0001244115,0.03684546],"category_scores_gemma":[0.001281738,0.0002616328,0.00007582059,0.0001267615,0.0002622481,0.00004583759,0.00008994498,0.0002044392,0.005649426],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000153133,"about_ca_system_score_gemma":0.0001040555,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003930829,"about_ca_topic_score_gemma":0.0006708607,"domain_scores_codex":[0.9981579,0.00008785317,0.0003923595,0.0003805554,0.0002475909,0.000733698],"domain_scores_gemma":[0.9981942,0.0003055677,0.00009762342,0.0004965638,0.00007010435,0.0008359397],"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":[0.00003969822,0.0003839781,0.0005580579,0.0004073576,0.00008173835,0.0002568696,0.003562822,4.362145e-7,0.00008230124,0.905111,0.08819992,0.001315781],"study_design_scores_gemma":[0.0008982861,0.000268973,0.0009379914,0.0002598886,0.0001652314,0.0001051553,0.002655494,0.0004143211,0.0005432953,0.8611258,0.1316681,0.0009574972],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7653628,0.0002469459,0.01847201,0.003950119,0.0002308911,0.001283927,0.0001358285,0.000323742,0.2099937],"genre_scores_gemma":[0.8971131,0.00001010308,0.08355054,0.0009776687,0.00009432258,0.00008392584,0.000006779675,0.0001102039,0.0180533],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1919405,"threshold_uncertainty_score":0.9999836,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04160104437513017,"score_gpt":0.2580071740322037,"score_spread":0.2164061296570736,"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."}}