{"id":"W2570213506","doi":"10.1016/j.jfa.2016.12.032","title":"On the classification of positions and complex structures in Banach spaces","year":2017,"lang":"en","type":"article","venue":"Journal of Functional Analysis","topic":"Advanced Banach Space Theory","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Mathematics; Equivalence relation; Relation (database); Isomorphism (crystallography); Position (finance); Banach space; Pure mathematics; Group (periodic table); Space (punctuation); Subspace topology; Group action; Action (physics); Orbit (dynamics); General position; Discrete mathematics; Mathematical analysis; Crystallography; Computer science; Physics; Crystal structure","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":[0.002579857,0.000877702,0.0008968791,0.003802922,0.00177411,0.005752929,0.001609111,0.002233459,0.006102216],"category_scores_gemma":[0.01185027,0.0004850562,0.0006744492,0.002695329,0.005417308,0.01082475,0.00305339,0.002692916,0.0007954593],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001531263,"about_ca_system_score_gemma":0.0008813894,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001145156,"about_ca_topic_score_gemma":0.0008236427,"domain_scores_codex":[0.9988115,0.0003770025,0.00009672615,0.0002351106,0.0002936865,0.0001860417],"domain_scores_gemma":[0.9934685,0.003642127,0.0006746905,0.0005795623,0.0007977335,0.0008373585],"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":[0.00007444831,0.0000321957,0.001707022,0.00003465362,0.000005578769,0.00005679496,0.0005246514,0.001273246,0.001196891,0.9763815,0.001027476,0.01768546],"study_design_scores_gemma":[0.000015626,0.00006905109,0.001321954,0.00004688888,0.000007554006,0.0001459753,0.000434703,0.01531714,0.000659319,0.9779067,0.004057092,0.00001794714],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5950478,0.002738544,0.3483804,0.00454998,0.0005988321,0.00008897185,0.0004779986,0.0002046413,0.0479128],"genre_scores_gemma":[0.9152035,0.002023227,0.05704549,0.0004416605,0.0005828512,0.0000730718,0.0007595907,0.0001224403,0.02374813],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006102216,"threshold_uncertainty_score":0.02041394,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.089533737502436,"score_gpt":0.3479660599612,"score_spread":0.258432322458764,"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."}}