{"id":"W2567114321","doi":"10.1016/j.jmaa.2017.05.038","title":"Angular equivalence of normed spaces","year":2017,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Advanced Topics in Algebra","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":false,"ca_institutions":"Western University","funders":"","keywords":"Mathematics; Convexity; Unit sphere; Equivalence (formal languages); Norm (philosophy); Equivalence relation; Normed vector space; Regular polygon; Pure mathematics; Topological space; Mathematical analysis; Geometry","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":[0.001904392,0.0007262736,0.0006940944,0.002803908,0.001667339,0.004176622,0.001000284,0.0008542243,0.01279398],"category_scores_gemma":[0.004513553,0.0004102883,0.0007781601,0.001298144,0.005130775,0.007700258,0.003509533,0.003179135,0.001008398],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001088268,"about_ca_system_score_gemma":0.0006736664,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001368317,"about_ca_topic_score_gemma":0.0009745024,"domain_scores_codex":[0.9980964,0.0004791862,0.0001311612,0.0004202541,0.0005755008,0.0002974821],"domain_scores_gemma":[0.9970104,0.0008626915,0.0003663476,0.0003052099,0.0007987686,0.0006566275],"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":[0.00002366058,0.00001523931,0.0001319579,0.000008406028,0.00000432732,0.00002215705,0.0001424822,0.0001261386,0.0002646116,0.9965328,0.0003334226,0.002394698],"study_design_scores_gemma":[0.00001317663,0.00002302739,0.0002712725,0.000006588901,0.00000513552,0.00005312673,0.0001480372,0.001299973,0.0002893693,0.9949113,0.002970795,0.000008285562],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.434437,0.001599363,0.2783818,0.00328607,0.001395569,0.00008396061,0.0005284589,0.0003419698,0.2799459],"genre_scores_gemma":[0.9358599,0.001006957,0.020722,0.0006626162,0.0009553728,0.00008615141,0.0007859754,0.0001812138,0.03973982],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01279398,"threshold_uncertainty_score":0.04280013,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04733184047463219,"score_gpt":0.3723049841275413,"score_spread":0.3249731436529091,"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."}}