{"id":"W2963553191","doi":"10.4153/cmb-2015-024-9","title":"Hyperplanes in the Space of Convergent Sequences and Preduals of ℓ<sub>1</sub>","year":2015,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Approximation Theory and Sequence Spaces","field":"Mathematics","cited_by":14,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Hyperplane; Mathematics; Dual polyhedron; Banach space; Projection (relational algebra); Space (punctuation); Basis (linear algebra); Pure mathematics; Combinatorics; Algorithm; Geometry; Computer science","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":[],"consensus_categories":[],"category_scores_codex":[0.001485555,0.0001256009,0.000323972,0.0001054221,0.00003176163,0.00001615769,0.0002235804,0.00008608359,0.0003177982],"category_scores_gemma":[0.001584925,0.0000864918,0.00003746118,0.0001445969,0.0003637365,0.00003413992,0.00002044737,0.0001052366,0.00009862619],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003459587,"about_ca_system_score_gemma":0.0001882315,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000355747,"about_ca_topic_score_gemma":0.0007296116,"domain_scores_codex":[0.9987897,0.0002028201,0.0004006163,0.0001366103,0.0002517827,0.0002184354],"domain_scores_gemma":[0.9985292,0.0007820221,0.0001516619,0.0002464943,0.00008059124,0.0002100439],"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":[0.00001609428,0.00006792683,0.0002630018,0.000404862,0.00001979209,0.00002087443,0.009267087,0.00000797272,0.001619351,0.9822767,0.005837257,0.0001990331],"study_design_scores_gemma":[0.0003422551,0.0001056901,0.00008905252,0.0002443496,0.00003595838,0.00007568017,0.01166666,0.0002167564,0.02484581,0.9608718,0.001326971,0.0001790216],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9885413,0.0001334901,0.0002070811,0.003797138,0.00002994789,0.0003566583,0.00002489122,0.000009853322,0.006899629],"genre_scores_gemma":[0.9976168,0.00001411328,0.002109668,0.0001122196,0.0000161041,0.00002234122,0.000002359075,0.00001013205,0.00009630256],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.02322646,"threshold_uncertainty_score":0.3527033,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0481325009422598,"score_gpt":0.2684901197537399,"score_spread":0.2203576188114801,"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."}}